番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-10-12/

1. Hook algebras and determinantal varieties
2. On the Isotropy Groups of Locally Finite Derivations of Laurent Polynomial Algebras
3. A complex associated to a family of ideals and applications to subspace arrangements
4. Counterexamples to Minkowski-type inequalities and the Rees converse for modules via mixed Buchsbaum-Rim Multiplicities
5. Operator Algebras and Their Applications
6. Generating Sets for the Kernels of Frobenius Polarization Operators
7. Geometry of some determinantal arrangements
8. Quillen's local parameter conjecture in dimension four

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-10-09/

1. Frobenius splitting of valuation rings revisited
2. Equivariant noncommutative crepant resolutions and $G$-maximal modifying modules
3. Derived functors and Hilbert polynomials over dominant Cohen-Macaulay rings
4. Polycubes and polycube ideals
5. Infinite girth and profinite properties of residually finite groups
6. An explicit tame factorization of the four-variable Anick automorphism
7. Toric flatness I
8. Characteristic cycles and the Gevrey filtration of irregularity in hypergeometric families

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-10-08/

1. Structural properties of admissible subgraphs and the depth of symbolic powers of cover ideals
2. The Hassanzadeh-Nasrollah Nejad-Simis Conjecture on Euler Conductors
3. Minimal examples of Cohen-Macaulay independence complexes that fail to be shellable or vertex decomposable
4. On an ideal membership problem
5. Ramified Quivers with Potentials, Monodromy Characters, and Cluster Bases I
6. A combinatorial criterion for detecting roots of Bernstein-Sato polynomials
7. Frattini Geometry of Non-Generating Complexes: Symmetry, Homology and Betti Numbers

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-10-07/

1. Spectral Equality for Tropical Totally Nonnegative Matrices: Dominant Cancellation and Newton Polygons
2. When Hilbert functions determine four-variable generic initial ideals
3. Cartwright--Sturmfelsness of complementary determinantal edge ideals
4. From Demailly's Inequality to Harbourne--Huneke Containments for General Points
5. Liouvillian first integrals of differential equations: A Galoisian approach
6. Determinacy and Modality in Positive Characteristic
7. Finite holomorphic pullbacks, Segre numbers, and generic L\^e numbers
8. Diagonal Specht ideals and their varieties
9. Truncation of dg categories and connective resolutions

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-10-06/

1. Peskine and Szpiro's Dimension inequality holds over local rings of depth at most one
2. Ramification invariants of pure extensions
3. On injective dimension of the conormal module
4. Traces of powers of canonical ideals
5. On the $\phi$-Weak Global Dimensions and $\phi$-Global Dimensions
6. Asymptotic Castelnuovo-Mumford regularity of (co)homology modules involving powers of ideals
7. Polynomials with restricted support and maximal zeros on a finite Cartesian set
8. K-injective complexes in commutative algebra
9. Reflexive ideals of a numerical semigroup
10. The separator-based derivations for arrangements of monomial groups
11. Borel subgroups of the automorphism group of an affine variety

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-10-05/

1. The Delta Set of a Numerical Monoid Generated by a Generalized Arithmetic Sequence
2. Invariant Rings of Adjacent-Quadratic Triangular Derivations
3. Almost Gorenstein standard graded rings and their localizations
4. Quillen's finiteness conjecture for the cotangent complex in characteristic two
5. Bounds for Regularity of Toric Varieties in Terms of Multiplicity
6. Sharp FRS and singularity thresholds for off-diagonal Gram maps
7. some arithmetical aspects of the two dimensional jacobian conjecture

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-10-02/

1. On the totally acyclic condition and the Auslander-Reiten Conjecture
2. Alternating Divisoriality of Prime Ideals along Infinite Chains of B\'ezout Domains
3. On the Krull dimensions of rings of integer-valued polynomials and polynomial rings
4. A Reduced Non-McCoy Ring with the Annihilator Condition and $(A_2)$
5. Frobenius multiplicities and F-signatures of Grassmannians of two-planes
6. Automorphisms of hypersurfaces in polarized varieties

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-10-01/

1. Symmetric-determinant apolarity in odd characteristic
2. The finitistic weak dimensions of Gaussian rings
3. Prime Ideals and Projective Closure in the Boolean Polynomial Semiring
4. Stanley-Reisner Theory in Mixed Characteristic
5. Limit F-invariants of the simple singularities and the Fermat hypersurfaces
6. Componentwise linearity, Fr\"oberg's analogue, and classification of linear support-two monomial ideals
7. Arithmetic pseudo-Frobenius numbers and determinantal numerical semigroup rings

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-09-30/

1. Zero divisors of Gorenstein Rings
2. A note on inverse limits of injective modules
3. Christophersen's problem for monomial algebras
4. Weak and strong Lefschetz properties for vertex cover Artinian algebras associated to graphs
5. The $\mathrm{v}$-number of powers of ideals associated with chessboard complexes
6. Powers of Alexander Duals of Stanley-Reisner Ideals of Chessboard Complexes
7. Characteristic-free Kn\"orrer periodicity
8. The WittVectors package for Macaulay2
9. Weak and Serre Lifting of Cyclic Modules and the Liftability of Auslander Duals
10. Rigidity conditions for binomials
11. Calculating Hodge and weight filtrations on localizations
12. The $F$-signature Function on the Big Cone
13. Gorenstein homological properties of n-trivial extensions of rings
14. Schreyer Resolutions over the Exterior Algebra
15. Deep Points of Cluster Algebras II: Punctured Marked Surfaces

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-09-29/

1. Characterizing Steiner Systems via Betti Numbers of Monomial Ideals
2. On the $b$-invariant of a normal graded ring
3. Maximal shifts below the Taylor bound
4. Bernstein--Sato ideals might not be linear
5. The Waldschmidt constant of square-free principal Borel ideals
6. Binomial edge ideals of bipartite complements of even cycles
7. The F-signature of Determinantal Rings
8. Wide subcategories over commutative coherent rings
9. Generalized mixed sequence multiplicity
10. Total Rings of Quotients with Arbitrary Weak Global Dimensions
11. DG Algebra Structures on Mapping Cones with an Application to Edge Ideals
12. Splitting the Matroid Determinant
13. On embeddings of rings into their canonical modules
14. A B\'ezout domain that is not an elementary divisor domain
15. Primary Decompositions in Lorentz-Covariant Rings
16. Algebras with Variable Structural Constants and Their Applications
17. Algebras with Variable Operator-Valued Structural Constants and Their Applications
18. Relative Global Dimension of Controllable Extensions
19. Gorenstein cotorsion pairs induced by balanced pairs
20. Factorizations in algebraic monogenic semidomains
21. The Moment Method for Computing Real Points of Sparse Polynomial Systems
22. Coordinate descents, monodromy, and finite normalization of marked-root maps
23. Matching algebras and their Dunkl subalgebras
24. Strong and Explicit Forms of the One-Sided Nullstellensatz over Division Rings
25. A Quadratic Lower Bound on Determinantal Complexity
26. On the De Rham Cohomology of Zero-Dimensional Schemes

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-09-28/

1. Asymptotic multiplicity sequences of graded families
2. Structure of irreducible homomorphisms to/from free and injective modules
3. Edge ideals of complements of a class of circular interval graphs
4. Neural Ideals and Neural Codes: An Algebraic Framework for Neural Network Classification and Feature Interpretation
5. Special Cohen--Macaulay sheaves on partial resolutions of rational surfaces singularities
6. On the support of double Grothendieck polynomials
7. Non-vanishing of the structure-sheaf cohomology of affine henselian schemes and henselian affinoids

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-09-25/

1. Algebraic Expressivity Certificates for Shallow Polynomial Neural Networks
2. Matrix factorization of quotient singularities of type A and D
3. Jordan Blocks, Differential Traces, and Colon-Ideal Noncontainment over Noetherian Quotients
4. Systems of parameters consisting of linear forms for monomial ideal quotients
5. Primality of dilated closed path polyominoes
6. Reduced and coreduced modules with respect to inverse families of ideals
7. Specht ideals for the imprimitive complex reflection group $G(r,1,n)$: geometric orbit types and a dominance theorem

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-09-24/

1. Dimensions of permanental varieties in arbitrary size
2. Two-sided bounds for canonical traces of Veronese subalgebras
3. Resultant of an equivariant polynomial system with respect to the reflection group $G(r,n)$
4. Generic $\mu$-power ideals, fat points, and symbolic powers
5. Conjugation Differential Invariants of $\mathrm{SL}_2(\mathbb{F}_q)$ on trace-free matrices
6. Field independence of the first seven Betti numbers of flag complexes
7. The prime spectrum of rings of integer-coefficient power series on the disk
8. Degrees and directional defects of embedded algebraic vector bundles

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-09-23/

1. Ideal Structures in Idealizations and Cardinalities of Annihilating Ideals
2. Notes on Matlis reflexive modules
3. A proof of the Eisenbud-Huneke-Ulrich conjecture
4. Primary decompositions via exponent matrices
5. Poincar\'e Duality and Quadratic Refinements over Laurent Rings
6. Resultant of an equivariant polynomial system with respect to a direct product of $r$ symmetric groups
7. Complete intersection and quasi-homological dimensions
8. Equivalence of Extensions and the Perturbation Index
9. The Non-Lefschetz Locus of Monomial Complete Intersections in Positive Characteristic
10. The Betti numbers and Golodness of numerical semigroup rings of Sally type
11. Bernstein-Sato ideals for free hyperplane arrangements
12. Pairs of lattice complements with complementary homology

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-09-22/

1. The Bourbaki Degree of Line Arrangements
2. On the n-perfectness under split nilpotent extensions
3. v-numbers of symbolic-ordinary discrepancy modules
4. Mixed multiplicities and Rees Theorems for graded families and their converses
5. Quasi-projective dimension for complexes via filtrations
6. The Coproduct of Ideals and the Coprime Spectrum
7. On Regular Mac Lane-Vaqui\'e chains
8. Prime and Cohen-Macaulay ideals of 2-minors with linear resolution
9. $\aleph_m$-presented Gorenstein flat modules and Gorenstein dimensions of groups
10. Descent along flat composed with radicalization
11. The algebraicity of generating functions using nested Artin approximation
12. The structure of almost symmetric almost complete intersection numerical semigroups
13. A non-spatial frame of smashing ideals
14. A codimension formula for intrinsic perturbation of $A$-hypergeometric series
15. Special valuations and automorphisms of affine log Calabi--Yau varieties
16. Local cohomology with Schubert support on compact Hermitian symmetric spaces
17. Bimeromorphic invariance of $\partial\bar\partial$-property and blow-up formulae I: counterexamples and derived category approach
18. Hilbert functions over the exterior algebra and f-vectors in higher rank I: Amata-Crupi monomial modules, Kozlov polytopes, and r-vectors of simplicial complexes
19. A local cohomology obstruction to small Cohen--Macaulay modules
20. Sharp zero estimates for trajectories of polynomial vector fields
21. 2-step ideals and commuting matrices
22. Algebraic independence of periods of Anderson modules and their hyperderivatives

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-09-21/

1. A one-dimensional coherent domain with non-Pr\"ufer integral closure
2. Classification of Tor algebras for rings from general points by Waring Rank

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-09-18/

1. Conductor-Discriminant Inequality for Tamely Ramified Cyclic Covers I
2. Conductor-Discriminant Inequality for Tamely Ramified Cyclic Covers II

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-09-17/

1. Homological invariants of Edge Ideals associated to powers of cycles
2. Dimensions of a ring and its formal power series ring
3. Cohen-Macaulay higher conormal and K\"ahler differential modules of squarefree monomial ideals
4. Normality of ideals beyond the standard graded setting: families from numerical semigroup rings
5. A criterion for determinantal presentations of numerical semigroup rings
6. Finitistic injective dimension exceeding finitistic projective dimension for a commutative ring
7. Density functions for filtrations of graded ideals
8. Symbolic powers of the ideal of$n$ general points in $P^{n-1}$
9. On the Stable category of maximal Cohen-Macaulay modules over Gorenstein rings-II
10. Maximal common divisors in monoid algebras
11. Geometry of three--generated ideals in the plane
12. Hamming Ideals and Grobner Bases for ISD-like Syndrome Decoding
13. Bertini's theorem for $F$-rationality is false

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-09-16/

1. Annihilator Multiplication Modules: Ring Characterizations and Constructions
2. Strongly multiplicative sets, idempotent localizations, and $S$-prime phenomena
3. On atoms and their density in the monoid of monomial ideals
4. Nilpotent Jacobian maps in dimension three and stable tameness in block extensions
5. Rings are $\chi$-bounded

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-09-15/

1. The structure of automorphism groups of zero-dimensional monomial algebras
2. The classification of some polynomial maps in dimension three
3. Independence polynomials and the weak Lefschetz property for tadpole graphs
4. On a question of Nori: The high-codimension conductor case
5. Goldman primes and higher cyclic presentations for the small finitistic dimension
6. On the iso-Artinianness of one-dimensional Noetherian rings
7. Baer Splitting Beyond $\tau_q$-Semisimplicity
8. Generalized divisor topology of commutative rings
9. On simple extensions generated by key polynomials
10. Symmetric Models for Syndrome Decoding
11. Nagata's conjecture on a polynomial automorphism in positive characteristic
12. AKE principles in roughly deeply ramified henselian valued fields
13. Polarized varieties without arithmetically Cohen-Macaulay bundles and section rings without graded maximal Cohen-Macaulay modules in characteristic zero
14. A blowup criterion for regularity

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-09-14/

1. Numerical invariants for three-generated ideals
2. The Eisenbud-Huneke-Ulrich conjecture and bounds on minimal generators
3. On the Hilbert Series and Multiplicity of Generalized Binomial Edge Ideals
4. Border rank lower bounds beyond weak border apolarity
5. Descent, Seminormalization, and Conductors of Sparse Profile Images

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-09-11/

1. The transfer of Artinian and Cohen-Macaulay properties under module-finite extensions
2. Categories of Multigraded Local Cohomology Modules: Serre Filtrations and Nakayama Duality
3. Associated primes, witnesses, and omega invariants of monomial ideals
4. Quadratic Gr\"obner bases for cut ideals of cycles and ring graphs
5. A New Sparse Algorithm for Polynomial GCD over Integers
6. Openness of local properties in flat families of superschemes

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-09-10/

1. Lefschetz properties for monomial complete intersections
2. $F$-depth and $F$-nilpotent rings: generalizations and applications
3. Stabilization index of V-number of powers of edge ideals of graphs
4. Keller maps and holonomic $D$-modules
5. Bounds on Hilbert coefficients of Cohen-Macaulay modules having finite projective dimension
6. Secant varieties of flag varieties via Schur apolarity
7. A lattice path model for the volume of the Monge polytope
8. Reconstruction of Binary Linear Systems and Profile Geometry of Sparse Krylov Strata
9. Syzygy Transformations of Cluster Characters and Geometric Twists
10. Unimodality shenanigans in Ehrhart theory

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-09-09/

1. Weak Polynomial Completeness Does Not Imply Almost Polynomial Completeness
2. Comparisons between ordinary and symbolic powers of edge ideals with respect to regularity and depth
3. Pairings on the algebra of Laurent series over a ring
4. On the Matlis Reflexive Modules
5. Ranks of Verdier quotients of derived categories over local rings
6. A Solution to Iima--Yoshino Problem 2.3
7. Frobenius dilation of Hilbert function, Demailly's conjecture, and varieties of powers
8. Regularity of symbolic powers of complementary edge ideals
9. On the relations among algebraic models for the MinRank problem
10. A Counterexample to the Huneke-Wiegand Conjecture
11. Two Infinite Families of Regular Sequences of Power Sums in Three Variables
12. Sparse Polynomial GCD Algorithms Asymptotically Linear in All Fundamental Parameters
13. An Affine Semigroup from Orbifold Boundary Conditions: cut, phylogenetic and hierarchical models in the unit-weight sector, and weighted configurations beyond them
14. Thick subcategories over weakly symmetric algebras with radical cube zero
15. Demailly's Conjecture in Quantum Language and Its Solution
16. Filtered deformations of three-variable polynomial algebras
17. Quasi-projective dimension and Gorenstein projective dimension
18. A Note on Binary Quadratic Systems and their relation to complexity theory
19. $F$-nilpotence and Hodge filtrations beyond isolated singularities

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-09-07/

1. On the closed neighborhood ideal of the square of broom and double broom graphs
2. A comparison of the v-number of a monomial ideal and its integral closure
3. An Improved Upper Bound for the Perturbation Index
4. The coordinate ring of the k-fold iterated commutator locus for 2x2 matrices
5. An explicit non-elementary matrix over a bivariate Laurent polynomial ring
6. Universality in the algebra and topology of cographs
7. The ozone group of $U_q^+(B_2)$
8. Layered mixed matrices and reaction networks
9. Filtrations on D-modules and multiplicities of roots of Bernstein-Sato polynomials

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-09-04/

1. Power sums of critical points of gap polynomials for symmetric and pseudo-symmetric numerical semigroups
2. Symbolic Powers and Asymptotic Invariants of GL-Invariant Ideals
3. Relative approximation degrees and the henselian rationality problem over perfect fields
4. Cohen--Macaulayness of $\mathrm{Inc}(\mathbb{N})$-Invariant Chains of Edge Ideals
5. Quasi S-n-ideals in commutative semirings
6. Graded Betti numbers of graded M\"obius algebras of uniform matroids
7. Artin-Schreier geproci configurations in projective spaces of arbitrary dimension
8. Koszul Orlik--Solomon Algebras from Non-supersolvable Arrangements
9. A Polynomial PDE Criterion for the $-n/d$ Root of the Bernstein-Sato polynomial of Homogeneous Ideals
10. The type and cardinality of minimal presentations of numerical semigroups with embedding dimension four
11. An obstruction to the maximal singularity of the Hilbert scheme of points on threefolds

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-09-03/

1. Bouvier's Conjecture Is True
2. On the vertex connectivity of weakly zero-divisor graph of commutative rings
3. Homology of non-matching complexes under edge additions and applications to their Stanley-Reisner ideals
4. Localized Persistent Commutative Algebra
5. Smooth Counterexamples to the Eisenbud--Schreyer--Weyman Ulrich Existence Problem
6. Most $(0,1)$-polytopes are not normal
7. Characterization of Stanley-Reisner varieties by their automorphism group

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-09-02/

1. Trace ideals of syzygies
2. A counterexample to the localization problem for AB rings
3. Extension of valuation rings as limits of complete intersection algebras
4. Krasner Completions of Filtered Bands
5. Unique factorization results for generalized power series
6. Symbolic Rees algebras of complementary edge ideals
7. Integrally closed ideals with $e_{2}(I)=e_{1}(I)-e_{0}(I)+\lambda(A/I)$
8. Axiomatics for generic categories in positive characteristic
9. Weighted Syzygies of Pointed Curves
10. Palindromic real-rooted polynomials and $h$-vectors of polytopes
11. On Algebraic Integrability of Vector Fields with Rational Function Coefficients that Separate Variables
12. Resultant multiplicity via projective degrees and applications to tensor eigenvalues
13. Openness of Fourier--Mukai loci for algebraic spaces
14. Cohomology characters on the incidence correspondence
15. Deformed Convolution, Cumulant Transforms, and Semigroup Generators in Hurwitz Series Rings

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-09-01/

1. Homological dimensions of derived Hom complexes
2. Weakly Newton-nondegenerate binomial ideals
3. The arithmetic rank of nullcones of classical invariant rings
4. Truncations of the ring of number-theoretic functions, revisited
5. Thresholds of singularities in characteristic zero
6. Approximating DVRs by elements of bounded ramification
7. The symbolic and divisorial analytic spreads are finite
8. Trinomial containment in polynomial ideals is undecidable
9. Poisson bialgebras by deformations-to-quasiclassical limits
10. Edge codes constructed from unicyclic graphs

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-08-31/

1. Diagonal F-threshold of binomial edge ideals
2. On the existence of the maximal ideal in the set of associated primes of monomial ideals
3. Polynomial Initial-State Jumps and Christoffel Transforms in Krylov Complexity

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-08-28/

1. Comparing v-numbers of symbolic and ordinary powers of squarefree monomial ideals
2. Linear Independence of Polynomial Compositions and Identifiability of Deep Neural Networks
3. On the weak Lefschetz property of Artinian Gorenstein algebras of codimension three in arbitrary characteristic
4. Boxicity and Threshold Dimension of Zero Divisor Graphs
5. Disjoint and nearly disjoint sums of matrix multiplication tensors and their centroids
6. Graded Ehrhart theory for hypersimplices

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-08-27/

1. Contravariantly finite resolving subcategories over commutative local rings are trivial ones
2. Multi-graded generic initial ideals, regularity, and the optimal colorful fractional Helly theorem for $d$-Leray complexes
3. Reduction numbers for witnesses to the generalized Loewy length
4. Polynomial extensions do not preserve the strong finite type property
5. Multiplicity-One Cox Rings of Toric Point Blow-Ups
6. On the Multiplicative Thom-Sebastiani Property for Bernstein-Sato Polynomials of Ideals
7. De Morgan's Laws in Tensor-Triangular Geometry
8. Some results on null ideals of finite rings

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-08-26/

1. Eventual Nonstandard Koszulness Fails for Veronese Subrings of Weighted Polynomial Rings
2. Counterexamples to Peskine-Szpiro's conjecture on modules of finite projective dimension
3. On exceptional cliques in matrix rings
4. Componentwise linear monomial ideals
5. Fr\"oberg's Conjecture for Quintics and Septics in Four Variables
6. Local stability of Frobenius and Artin--Schreier base-change: a comparison

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-08-25/

1. A Complete Characterization of Realizable (Embedding Dimension, Multiplicity) Pairs for Complete Intersection Numerical Semigroups
2. Some non-principal rigid ideals in Gorenstein domains of dimension one
3. Duality Between Injective Envelopes and Flat Covers over Noether Algebras
4. Cosyzygy modules
5. On the Hilbert series of ideals generated by general linear forms
6. Point Counts of Cluster Varieties of Marked Surfaces Over Finite Fields
7. Marshall Quotients of the Rings $\mathbb Z/n\mathbb Z$
8. A tight bound for affine-linearity, via universal ballot matrices
9. The invariant ring of degree-four rational maps on the projective line

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-08-24/

1. Derivations of plane algebroid curves
2. Regularity of Symbolic Powers of Co-Chordal Edge Ideals
3. A Mayer-Vietoris calculus for regular denominators
4. Ramification ideals for products of pure subgroups
5. Betti and Bass numbers of relative Frobenius maps

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-08-21/

1. Generalized Hamming weights of codes arising from complete intersection
2. Koszul cohomology of \v{C}ech cohomology modules
3. Clique number and triangle densities in $C_4$-free graphs
4. Eigensolvers for polynomial roots and tensor decomposition
5. Resolution of Singularities in Positive Characteristic: Frobenius-Hasse Towers and Exceptional-History Descent

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-08-20/

1. V-numbers of powers of cover ideals of unimodular hypergraphs
2. Complete Intersections of Bounded Codimension: Failure of the Nagata Criterion and Recovery of Openness
3. Differential Operators on $G(r,n)$-Invariant Functions
4. Equivalence of Curve Singularities and delta-Invariants
5. Matrix Algebra for Persistence Modules Yields a Proof of the Isometry Theorem
6. The radial derivative on the graded M\"obius algebra
7. Finite-coefficient K-theory of henselian valued fields and Gersten injectivity
8. Equations of Tree Tensor Network Varieties

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-08-19/

1. The Bi-UF Positive Conjecture Holds
2. A Structural Property of Generic Initial Ideals
3. Hankel Determinantal Ring have $F$-regular Singularities
4. Algebras with straightening laws on join- or meet-semidistributive lattices
5. Depth and Krull dimension of Binomial edge ideals
6. Cohomological Cohen--Macaulayness in Non-Noetherian Rings
7. F-rationality of multiplicity-free subvarieties
8. Deformation Theory of Monoid Schemes II: Precartesian Coextensions of Commutative Monoids
9. Invariant chains of graphs
10. A strongly compact cardinal yields a left and right coherent ring with $\mathcal{PGF}(R)\subsetneq\mathcal{GP}(R)$
11. A $k$-Dimensional Version of the Largest Intersection Problem
12. Suslin's cancellation conjecture on smooth real affine varieties with few real points

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-08-18/

1. Ideal Zero-Product Probability in Finite Commutative Rings
2. V-numbers of symbolic powers of cover ideals of graphs
3. $F$-injectivity does not deform
4. Some Properties of Path and Closed Neighborhood Ideals
5. Bounds on multiplicity of MCM modules having non-extremal growth of betti-numbers
6. Canonical traces of Artinian truncations of Stanley-Reisner rings
7. Factorization Bounds and Irreducibility Criteria in Hurwitz Series Rings
8. Estimates for roots of Bernstein-Sato polynomials via log resolutions by orbifolds
9. Towards combinatorial derivations of K-polynomials for determinantal varieties
10. Polynomial interpolation and the Waldschmidt constant of points in projective space
11. Some explicit counter-examples to Weibel's conjecture
12. Matrix group $\Lambda$-distributions

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-08-17/

1. A counterexample to a question on the maximality of purely-primes
2. Torsion pairs in subcategories of modules over a commutative ring
3. On Takahashi's questions about dominant local rings
4. Detecting Essential Ideals in Polynomial Rings
5. Mittag-Leffler Conditions, Gorenstein Modules and Homological Invariants
6. Classifying Smooth Quot Schemes
7. Finite Gaussian Reconstruction of Polynomial Orbits: From Correlated Moments to Oscillatory Periods

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-08-14/

1. Artinian Gorenstein algebras with Macaulay dual generator with fixed Waring rank
2. The Noetherian Case of Bayart's Power-Series Question
3. The multiplicity sequence of monomial ideals
4. On the isotropy group of monomial derivations
5. Rigidity for Lie algebras of locally finite derivations
6. Homogeneous Weights on Semigroup Algebras of Finite Commutative Semigroups
7. Null polynomials over a finite ring need not form a two-sided ideal

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-08-13/

1. Limits of Amao multiplicities and Epsilon multiplicity
2. A note on the real Jacobian conjecture in degree 7

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-08-12/

1. On an Instance of the Small Cohen-Macaulay Conjecture II
2. On the Relationship Between Semiring-Induced Valuation Algebra Isomorphisms and Semiring Isomorphisms
3. Normality of Relative Elementary Tranvection Groups
4. Virtually Gorenstein Artin algebras are weakly Gorenstein
5. Mutation-preserving generalized cluster algebras and Laurent mutation invariants
6. Kronecker Products of Symmetric Persistent Tensors

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-08-11/

1. (Locally) Associated Subrings in Polynomial and Power Series Extensions
2. Local cohomological dimension and depth in mixed characteristic
3. On strongly G-regular rings
4. Relating the Exterior Algebra of the Conormal Module to the Tor Algebra
5. Remarks on some Homological Problems regarding Infinite Integral Extensions
6. Tor and Ext vanishing results for commutative Artinian rings
7. Disconnected multigraded Hilbert schemes on $\mathbb{P}^2\times\mathbb{P}^1$
8. Brehm-Wintner-Conley Dimension, Pl\"ucker Coordinates, and Generalized Dziobek-Williams Equations for Central Configurations
9. The Algebra of compact-open subsets in the spectrum of the ring $C(T)$ for an infinite compact Hausdorff space $T$
10. Gorenstein homological dimension of group extensions
11. The rank of the $5\times 5$ permanent tensor is sixteen
12. A no-go theorem for special Ulrich bundles, with a complement on primary Burniat surfaces

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-08-10/

1. On the Radical Computation of Parametric Ideals over Finite Fields
2. An Explicit Five-Variable Counterexample to the Generalized Vanishing Conjecture
3. Initial Ideals, Low-degree Foliations and the Hilbert Scheme of Points on $\mathbb{CP}^{2}$: A First Approach
4. Vector fields of graphic arrangements and face rings of simplicial posets
5. The basic tropical polynomials generate the semifield of $r$-symmetric tropical rational functions

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-08-07/

1. Restrictions on the Betti tables of licci ideals
2. The graded Betti numbers are not tropical invariants

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-08-06/

1. Krull--Gabriel dimension and Cohen-Macaulay representations
2. Behrend function and blowup algebras
3. Spherical Completeness, Coherence, and GCD Properties of Formal Power Series and Witt Vector Rings
4. Frobenius--Witt cotangent complex for derived rings

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-08-05/

1. A Fitting criterion for quasi-Gorenstein local rings
2. A Dimension-Two Counterexample to the Separable Jacobian Conjecture in Characteristic Two
3. Cluster Algebras, Cube Roots, and Energy Correlators in $\mathcal{N}=4$ SYM

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-08-04/

1. Ulrich modules : decomposition and relation with rings having minimal multiplicity
2. GL-algebras in positive characteristic III: the divided power algebra
3. $\mathrm{v}$-number of Lov\'asz-Saks-Schrijver Ideals and (parity) binomial edge ideals of graphs
4. Hilbert Series and Logarithmic Degrees of $A$-Hypergeometric Series
5. Homological shift ideals of weighted oriented graphs
6. A cusp surface singularity is Frobenius liftable
7. Nash structure of curves over a valued field and tame henselian rationality
8. Cluster Algebras for Bosonic Plethysm
9. A uniform decomposition theorem for invariant differential operators on imprimitive complex reflection groups G(r,p,n)
10. The catenary degree of monoids of product-one sequences

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-08-03/

1. Small Resultant Systems via Linear Combinations
2. Bounds on the second Hilbert coefficient and the depth of the associated graded ring

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-07-31/

1. When does a derivation of a ring admit the exponential?
2. $\alpha\beta$-Tessarine Toolbox: A high-performance MATLAB framework for hypercomplex tensor algebra
3. Local cohomology modules with nonclosed support
4. Transcendental Hilbert-Kunz Multiplicities
5. Cotorsion modules relative to a hereditary torsion theory
6. On phi-(k,n)-absorbing delta-primary hyperideals
7. Homotopy limits of complexes
8. Derangement permutation matrices and orbit harmonics

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-07-30/

1. Exploring a local variant of the Buchsbaum--Eisenbud--Horrocks conjecture
2. Asymptotic Resurgence of Facet ideals of Graphic Matroids
3. A Riemann-Roch theorem for Frobenius quotients
4. The finite degree formula for normalized volumes

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-07-29/

1. Reduction of the Finite Generation Problem for Leading Term Ideals under Arbitrary Rational Monomial Orders to the Lexicographic
2. The Mendez-Pinto-Villarreal Conjecture for some classes of monomial ideals
3. On the flatness of the Bergman space as a module over the Hardy algebra

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-07-28/

1. Carlsson's Conjecture and the Generalized Total Rank Conjecture in Characteristic Two
2. The Bi-UFS Positive Conjecture for algebraic semidomains
3. On the distributivity of the subtractive closure operator over ideal operations in hemirings
4. Interval Rings
5. Nearly Gorenstein blow-up algebras over two-dimensional regular local rings
6. Algorithms and results on multiparameter counting of numerical semigroups
7. Counterexamples to Norm Conjectures of Wehlau in Modular Invariant Theory
8. A face-isolation proof of the two-variable Gaussian Moments Conjecture

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-07-27/

1. Prime and Cohen--Macaulay binomial ideals with linear resolution
2. A five-variable counterexample to the Hessian conjecture, and the low-dimensional status of the Jacobian and Hessian conjectures
3. A class of polyocollection ideals with quadratic Gr\"{o}bner bases

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-07-24/

1. On mappings with Jacobian one
2. Asymptotic Resurgence of Facet and Stanley-Reisner ideals of Matroids
3. Lower bounds on the strength of the determinant
4. An Explicit Characteristic-$2$ Counterexample to the Separable Jacobian Conjecture
5. Surjectivity of Engel Maps over trace zero matrices in $\mathrm{M}_2(\mathcal{O})$
6. New conjectures on multiplicities of tensor eigenvalues

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-07-23/

1. Quadratic Ideals in Six Variables and the Eisenbud--Green--Harris Conjecture
2. A Counterexample to the Global Injectivity of a Jacobian Mapping in \mathbb{C}^5 and Its Analytical Roots

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-07-22/

1. Regularity and depth of binomial ideals arising from combinatorics
2. Admissible bases and generic lattice ideals
3. A sublinear bound for the regularity of subspace arrangements
4. Border Bases and Border Basis Schemes
5. Picard groups and composition nilpotence for finite cellular isotropic spectra
6. Heaps of modules: homological aspects
7. Obstructions to embedding singular curves in toric varieties
8. A Counterexample to Wehlau's Conjecture on Noether Numbers
9. Counterexamples to the xz-Conjecture and the Mathieu Conjecture for SU(2)
10. Eventually nondecreasing quasi-polynomials

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-07-21/

1. On generalization of two results of Foxby
2. Betti Tables and the Licci Property
3. The Weak Zero-Divisor Difference Graph of a Finite Commutative Ring
4. Homological Detection by Perfectoid Algebras
5. The Miracle of Flatness in Algebraic Geometry
6. Degenerating Discriminants
7. Small Counterexamples to the Gaussian Moments Conjecture

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-07-20/

1. On complete intersection projective closures of monomial curves

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-07-17/

1. In Memoriam: Professor Dr. Winfried Bruns (1946--2026)

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-07-16/

1. Regularity, local cohomology and injective modules under contracting endomorphisms
2. The variety of nilpotent matrices is $F$-regular
3. Integrability in the sense of Hasse-Schmidt and $p^e$-basis
4. Greedy fusion
5. Matroid correspondence

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-07-15/

1. Some Remarks on Hessians and Wronskians
2. Semi-Invariants of a Matrix and Covector
3. Generalized symmetry in the vanishing of Ext
4. LipschitzSaturation: A Macaulay2 Package for Computing Lipschitz Saturations of Modules and Toric Varieties

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-07-14/

1. Factorizations in rational monogenic semidomains
2. Homological invariants of edge ideals of the multiple extended complete split-like graphs
3. Buchsbaum modules and parameter ideals under flat extensions
4. Polynomials over idempotent semifields
5. Characteristic Independence of Betti Numbers of Monomial Ideals in Five Variables
6. Geometrically vertex decomposable star configurations
7. The Arithmetic of Semirings Part I: Ideals
8. Graded n-Absorbing Ideals and their Combinatorial Structure
9. Existence of a far-flung Gorenstein numerical semigroup attaining the Herzog--Kumashiro--Stamate bound
10. Integral closure for (additively idempotent) semirings
11. Extending valuations of local domains to complete local domains without changing the value group
12. Common extensions of valuations to rational function fields
13. On the Hilbert depth of a special class of squarefree monomial ideals
14. Poisson derivations and cohomology of Poisson nilpotent algebras
15. Collinearly complete sets and finite subgroups from configurations of skew $n$-planes in $\mathbb P^{2n+1}_K$
16. Trajectory Planning and Certification for 3-DOF Robot Manipulators Using Real Quantifier Elimination Based on Comprehensive Gr\"obner Systems

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-07-13/

1. Derived Kunz and Radu--Andr\'e Theorems
2. Factoring maps to big Cohen-Macaulay algebras through blowups
3. $S_r$ properties of generalized Cohen--Macaulay modules and rings having liftable local cohomology via Serre depth
4. On $F$-thresholds of differential power filtrations
5. On the Jung-van der Kulk decomposition into Pascal finite factors

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-07-10/

1. Waring Problem for matrices over finite local rings

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-07-09/

1. Schreyer resolution of modules over formal power series
2. Analytic Spread via Linear Matroids
3. The space of preorders on a commutative monoid

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-07-08/

1. Graded families of ideals and convex regions
2. Generalized Marshall Quotients and Real Semigroups of Continuous and Differentiable Functions
3. Purity of extremal rays of Betti cones
4. Groebner.jl: Fast Gr\"obner Tracing in Julia
5. Fast Rational Univariate Representation via Gaussian Elimination

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-07-07/

1. On the additive structure of algebraic valuations of polynomial semirings II
2. On the smallest numerical semigroups closed under affine maps
3. On Landweber$'$s unique factorization problem
4. Standard Veronese degree and star configurations
5. Ordered alternating paths and the depth of symbolic powers of cover ideals of graphs
6. On two questions of Qi on saturated filtrations
7. A Join-Matching Theorem for Squarefree Powers of Edge Ideals, with Applications to Wheel and Related Graphs
8. A Polynomial Recovery Criterion for Forced Commutativity in the Matrix Square-Root Fiber of a Square-Free Cubic Polynomial
9. Real radiciality and monoreal extensions
10. Localization and Affine Schemes over $\mathbb{F}_1$
11. A note on prismatic sites for p-quasisyntomic rings
12. Algebraic Modelings of the Supersingular Isogeny Problem
13. Integer Coefficient Power Series with Prescribed Zero Sets

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-07-03/

1. Existence of a Nonsmoothable Local Gorenstein Algebra with Smoothable Q(0)
2. A nine-line counterexample to a conjecture on the minimal degree of Jacobian relations
3. Quasi-$F$-splitting versus log canonicity
4. Bimodules in differential polynomial rings
5. Deterministic Polynomial-time Exact-root Computation for Sparse Polynomials with Bounded Total Degree

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-07-02/

1. When is the Ring of Integer-Valued Polynomials over a Group Ring a Pr\"ufer domain?
2. On the Linearity of Squarefree Powers of Edge Ideals
3. Tropical Geometry as a Restricted Architecture for Physics-Informed Neural Networks: Applications in Nonlinear Fluid-Structure Examples

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-07-01/

1. A lower bound for the Rouquier dimension of derived categories over commutative rings
2. Intersection theorems over DG-rings revisited
3. Quasi-$F$-singularities and singularities in birational geometry
4. Segre-Determinantal Loci and the Image Variety for Three Flatland Cameras

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-06-30/

1. A note on strong affine semigroups
2. Powers of matrices with all principal minors equal to 1
3. Transcendental Epsilon Multiplicity via Divisor Volumes
4. Defect Antichains and Multigraded Symbolic Defect Series of Edge Ideals under Graph Blow-ups
5. Surjective Stability of Dickson-Siegel-Eichler-Roy Elementary Orthogonal Group
6. Perfect closure detects injective dimension
7. Hankel and Multiplication Tensor Completions for Cactus Rank
8. Chordality, syzygies, and shellability for hypergraphic analogues of interval graphs
9. Definable Eventual Equalizers
10. On Property $N_p$ of line bundles on smooth projective toric varieties
11. A One-Variable Frame Construction For Irrational Components of Hilbert Schemes of Points

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-06-29/

1. Varieties with Ulrich exterior powers of the tangent bundle

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-06-26/

1. An algebraic study of ideals of weak graph homomorphisms
2. The Second Vanishing Theorem in Ramified Mixed Characteristic
3. Cohen, Levitzki, Hilbert Basis, and Lasker-Noether Theorems for Nil-S-Noetherian Rings
4. Generalized Zariski cancellation for Brieskorn--Pham varieties

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-06-25/

1. On near atomicity and a characterization of the FF property
2. Polynomial Extensions of Non-Noetherian Cohen--Macaulay Rings and Torsion-Free Localization
3. Nonsimilar half-neighbors over fields of characteristic 2
4. Weddle schemes
5. Effective Computation of Mutation Paths and Generators of Cluster Automorphism Groups

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-06-24/

1. Polynomials of minimal border rank
2. Graded Betti numbers of generalized split--join graphs and applications

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-06-23/

1. Adjoining Idempotents to a Commutative Ring preprint version
2. Sums of squares on curves and surfaces
3. Betti Numbers of Sequentially Cohen-Macaulay Co-Chordal Graphs and Their Applications
4. Prescribed Initial Behavior of $\mu(I^k)$
5. On Two Approaches to Cluster Structures on Partial Flag Varieties
6. Homology of Vietoris-Rips complexes of hypercube graphs via group actions
7. Multigraded Regularity of the Complete Flag Variety
8. Occupation Ideals and Parikh Images in Markov Support Dynamics
9. On Bounds of Extension Degrees for Similarity of Integral Matrices over Number Fields
10. The Hermitian Distance degree of Tensor spaces
11. An organizing principle in the study of the Jacobian Conjecture
12. Smoothability of the one-step loci with Hilbert functions $(1,5,6)$ and $(1,5,7)$
13. Hierarchical Reinforcement Learning for Sparse-Reward Search in Commutative Algebra
14. Graded differential polynomial rings

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-06-19/

1. Non-Noetherian Bass and Betti numbers
2. A simple proof for Hochster's Theorem
3. Plane curve singularities and Fitting ideals
4. On Ziegler pairs of line arrangements: from non-existence to abundance

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-06-18/

1. Closing two recent conjectures related to the Jacobian ideal of hyperplane arrangements
2. Symmetric and Isotypic Hilbert Series for Symmetric Ideals
3. On monomial resonance
4. Trivariate Splines on Fans of Hyperplane Arrangements and Koszul Homology
5. A Pascal-type construction of the Segre cubic and the Cremona--Richmond configuration

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-06-17/

1. Principal symmetric ideals in the coordinate rings of curves
2. Sequential 1-Cohen-Macaulayness for direct sums of modules
3. Derived functors and Hilbert polynomials over Gorenstein rings
4. Counting Schur Rings over Cyclic Groups of Semi-prime Order
5. Deformation Theory of Monoid Schemes I
6. On monoids up to symmetry
7. Duality of monoids up to symmetry

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-06-16/

1. Regular sequences of linear forms on monomial ideals
2. When is Frobenius epic?
3. On the pertubations of E-depth, Ef-depth and sequentially Cohen-Macaulay locus
4. Some Remarks About Saturation of Ideals
5. Cohomology of Flag Superschemes and Syzygies of Compositional Varieties
6. Residue ideals of hyperplane arrangements
7. Testing the max-flow min-cut property and the replication conjecture
8. Higher cotangent cohomology for Stanley-Reisner rings
9. Existentially closed fields with operators in various categories

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-06-15/

1. Further results on monomial ideals of projective dimension one
2. A Generalization of a Theorem of Nakajima-Landweber-Stong
3. (n,Q)-ideals ans phi-(n,Q)-ideals of commutative rings
4. Higher syzygy bundles and the Eisenbud-Huneke-Ulrich conjecture
5. Nonsimplicial toric Nullstellensatz and stacky GKZ theory
6. The Gr\"obner Version of White's Conjecture is False
7. Hilbert's basis theorem for Poisson Ore extensions

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-06-12/

1. Weakly Ding injective complexes
2. Root Clusters and Multiclusters over Imperfect Hilbertian Fields

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-06-11/

1. Regularity is bounded on a quasi-excellent Noetherian scheme
2. On the number of generators of licci ideals
3. On $S$-prime and $S$-primary elements in multiplicative lattices
4. On Perfectoidizaiton of Finite Algebras over a Perfectoid Ring

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-06-10/

1. Complexes of finite Gorenstein flat and injective dimensions
2. Unique decomposition of orders
3. There are matroid toric ideals without quadratic Gr\"obner bases
4. Enumeration of certain subsets of uprooted trees and spherical parking functions

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-06-09/

1. On Hellus--Lyubeznik--Yildirim's conjecture of local cohomology modules
2. The relation type of point configurations in the projective plane
3. On the Regularity of Dominant and Almost Complete Intersection Monomial Ideals
4. Weakly Q-ideals of commutative rings
5. $\textbf{k}$-neighborhood ideals of graphs
6. Linked sheaves of modules
7. Solution Module and Linear Closure
8. Locally finite sets of derivations
9. Construction and finite generation of the strict closure of rings
10. When is the strict closure of rings finitely generated?
11. Deformation Theory and Torus-Fixed Geometry of the Nested Hilbert Scheme of Points
12. Colocalizing subcategories on differentially graded algebras
13. Bertini theorems for Hilbert-Samuel multiplicity over finite fields

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-06-08/

1. The Non-Pure Dual Exchange Property in Low Dimensions
2. A study of maximal shifts in the minimal graded free resolution of the residue field
3. Polyhedral models for K-theory of toric and flag varieties
4. Ideals defining components of two-row Springer fibers

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-06-05/

1. Decomposition Theorem for Perfectoid Rings along General Ideals
2. A Counterexample to Bhatt-Lurie's Cohomological Dimension Conjecture

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-06-04/

1. Hilbert-Kunz multiplicity of quadrics decreases
2. Bounds on the F-Pure Threshold of Isolated Hypersurface Singularities

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-06-03/

1. Amplitude inequalities for local (co)homology
2. Betti numbers of split graphs
3. Complexity, curvature and homological dimension of modules under linkage
4. Syzygies of Isotropic Kalman Varieties
5. A Complete Classification of 2-Linear Neighborhood Complexes

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-06-02/

1. Q-filters of bounded lattices
2. Projective dimension of powers of cover ideal of Ferrers graphs
3. Algebraic properties of overflow semirings
4. Large imperfect fields are existentially closed in function fields after finite constant extension
5. Implicitization of rational hypersurfaces by syzygies with respect to coefficient ideals
6. Rosenbrock's Theorem characterizes Pr\"{u}fer domains
7. Jordan types for pairs of commuting nilpotent matrices: A survey
8. A natural e\~ne product construction of the Big Witt ring
9. Localizing subcategories for algebraic stacks

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-06-01/

1. On Modular Invariants of Truncated Polynomial Rings
2. The NF-operator and the NF-Numbers of Simplicial Complexes
3. Constraining Conformal Correlators

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-05-29/

1. Cohomological support varieties for monomial ideals
2. A sharp bound for the Frobenius test exponents in generalized Cohen-Macaulay local rings
3. Remarks on hypersurfaces in $\mathbf{P}^1\times Z$
4. Semi-Bousfield classes and nonmonotone perversities

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-05-28/

1. Free Resolutions of Symmetric Algebras of Ideals with Deviation Two
2. Jordan types commuting with a hook partition

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-05-27/

1. A palindromicity criterion for the $h$-polynomials of bipartite edge rings
2. KW Semigroups -- Their Betti Numbers, Ap\'ery Posets and Tangent Cones
3. A characterization of perfectoid towers in terms of conormal cones
4. Structural properties and tilting correspondences of perfectoid towers
5. Regular rings and perfectoid towers
6. $\mathbf{F}$-jumping numbers can be irrational
7. Equivariant Maximal Cohen-Macaulay sheaves on the minimal orbit closures

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-05-26/

1. Betti numbers of inductively pierced codes
2. S-Filters of bounded lattices
3. A Classification of Unmixed Binomial Edge Ideals of K\"onig Type
4. On some open problems in commutative algebra resolved by Rethlas
5. Explorations of Matroid Complexes
6. Projectable reduced $f$-rings admitting elimination of quantifiers
7. Counting Rational Points on Danielewski and Double Danielewski Surfaces over Finite Fields
8. Poisson fields of two variables
9. Inductive approach to chromatic and characteristic polynomials
10. Proxy smallness meets $t$-structures

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-05-25/

1. Cartier algebras through the lens of $p$-families
2. Incidence toric ideals and three-point functions

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-05-22/

1. An algebraic proof of the Milnor-Orlik theorem
2. Cellular resolutions of second powers of square-free monomial ideals with divisibility relations
3. BCM-regularity of diagonal hypersurfaces and plus-pure thresholds in mixed characteristic
4. A Symbolic Homotopy Algorithm for Solving Composable Polynomial Systems
5. On the cohomological classification of vector bundles on smooth real affine surfaces and threefolds

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-05-21/

1. Critical subgraphs and the regularity of symbolic powers of cover ideals of graphs
2. n-trivial extensions and multi Hasse-Schmidt derivations
3. Equivariant ideals of polynomials

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-05-20/

1. An algorithm for invariants of elementary abelian groups
2. The importance of being isolated
3. On n-ary S-hyperideals
4. Subarrangements of type A: the weak Lefschetz property of the Artinian Orlik-Terao algebra
5. Golod ideals in combinatorial commutative algebra
6. Cyclotomic finite-field Fourier spectra: Galois descent, native subfields, and residual coding
7. Computing Certificates in Archimedean Univariate Saturated Quadratic Modules
8. A C implementation of the Smith massager algorithm
9. Weak and strong Lefschetz properties for Hartshorne-Rao modules of curves in $\mathbb P^3$
10. Algebraic aspects of unconditional lattice polytopes

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-05-19/

1. Factorization in almost Dedekind domain
2. Elasticity of Orders from the $S$-relative Davenport Constant: an Arithmetic Application of a Number-Theoretic Investigation
3. Rank varieties over the generic hypersurface I
4. On positivity of the limit F-signature
5. $\mathbb T$-homogeneous locally nilpotent derivations of trinomial algebras
6. The Ring of Differential Operators on a Nodal Curve is not a Bialgebroid

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-05-18/

1. Rota Baxter Operators on Truncated Polynomial Algebras
2. A Linear Bound on the Projective Dimension of Height 3 Quadratic Ideals
3. A category of graded matrix factorizations of a deformed polynomial associated to the $A_{\mu}$-singularity

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-05-15/

1. A counterexample to a conjecture of K\"uronya and Pintye on regularity and integral closure
2. Numerical characterizations for integral dependence of graded modules
3. On Numerical Semigroups with Fixed Quotient
4. Commutative Semifields from bijections of the Desarguesian plane
5. Frobenius--Witt cotangent complexes

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-05-14/

1. On Some Properties of LCM-Lattices of Edge Ideals of k-Uniform Hypergraphs
2. Betti numbers for cochordal zero-divisor graphs of commutative rings
3. Distance Reduction in Bouquet Decompositions and Toric Ideals of Graphs
4. Remarks on diagonal dimension for algebraic stacks

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-05-13/

1. Derived complete intersections and polynomial growth of Betti numbers over dg-algebras
2. Generalized Andr\'asfai graphs and special Betti diagrams of edge ideals
3. The v-numbers of permanental ideals
4. Bass numbers of graded components of local cohomology modules
5. The real Jacobian conjecture for maps with one component having degree 6

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-05-12/

1. Cohen-Macaulayness of formal fibers and dimension of local cohomology modules
2. Quadratic linear strands of prime ideals
3. Matrix equivalence to Smith normal form: new theoretical results for multivariate polynomial matrices
4. A characterization of monoid graded semihereditary rings

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-05-11/

1. The derived depth formula for modules of finite quasi-projective dimension
2. Analytical solutions for some quadratic ODEs found via linear rational eigenfunctions and the rational eigenfunction variety
3. The Isomorphism Classes of the Surfaces $x_1^{a_1} + x_2^{a_2} + x_3^{a_3} + 1 = 0$
4. Spectra of bi-incomplete Tambara functors
5. Adjoint test modules along Cohen--Macaulay morphisms
6. Tensor product surfaces and graded syzygies

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-05-08/

1. The $i$-extended ideal-based cozero-divisor graph of a commutative ring
2. Quasi sdf-absorbing ideals in commutative rings
3. Connectedness in Codimension One and the Non-$S_2$ Locus

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-05-07/

1. Depth of edge ideals and vertex connectivity of finite graphs
2. Tropical resolutions of configuration hypersurfaces
3. Non-external Proofs of Lagrange Inversion Formula
4. Symmetric Bessmertny\u{i} Realizations and Field Extension Problems in Characteristic 2 - A Differential Algebra Approach

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-05-06/

1. The depth function of powers of cover ideals of path graphs
2. Admissible subgraphs and the depth of symbolic powers of cover ideals of graphs
3. Large homomorphisms on the homotopy lie coalgebra
4. Epsilon multiplicity, multiplicity=volume formula and analytic spread of family of ideals
5. Independence of generic forms and the Fr\"oberg conjecture
6. Asymptotic properties of random monomial ideals

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-05-05/

1. Quasi-Gorenstein morphisms of commutative local dg-algebras
2. Frobenius identities for the volume map on Cohen--Macaulay rings
3. Toric rings of signed posets and conic divisorial ideals via matroid theory
4. Minimal Dimensions of Maximal Commutative Matrix Algebras and Sharp Courter-Type Bounds
5. Veronese Avoiding Hypersurfaces
6. Non-abelian extensions of Hom-Jacobi-Jordan algebras

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-05-04/

1. Elimination Templates in Macaulay2
2. Trace ideals of exterior powers of the module of differentials
3. On Krull's Dimension Theorem for Certain Graded Rings and Its Applications
4. Delta characters and crystalline cohomology of abelian schemes

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-05-01/

1. Reverse Tableaux and the Surjectivity of the Component Map in Type $A$
2. Syzygies of the transfer ideal of the symmetric group
3. Flat coordinates of Frobenius prepotentials related with the reflection groups of types $H_3$ and $H_4$
4. Parseval-Rayleigh identities for graded Artinian Gorenstein algebras
5. Polynomial and spectra factorization of graphs obtained by iteration the operad of generalized graph composition

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-04-30/

1. On $S$-Noetherian Lattices
2. k[x]-modules and Core-Nilpotent endomorphisms
3. On the binary relations defined using GD1 and 1GD inverses over infinite dimensional vector spaces
4. Analysis of the weight Diagram Associated with Foliations on the $\mathbb{CP}^{2}$
5. Rota-Baxter Operators on Dual Quaternion Algebra
6. Causal Edge Rees Algebras for Spatiotemporal Graphs
7. On main eigenvalues of zero-divisor graphs of reduced rings

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-04-29/

1. Koszul modules, holonomy Lie algebras, and resonance of groups and CDGAs
2. A local-global correspondence for perfectoid purity
3. Additive index and Carlitz rank

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-04-28/

1. Associated primes of powers of closed neighborhood ideals and diameters of graphs
2. A Necessary and Sufficient Condition for Uniqueness of Euclidean Division
3. Finite projective dimension and a question of Jorgensen
4. On the minimal dimension of maximal commutative subalgebras of $M_6(k)$
5. Topological and differentiable aspects of Clifford semigroups
6. On the degree of the singular subscheme of hypersurfaces in ${\mathbb P}^n$
7. Boundary $h^\ast$-vectors and unimodular triangulations

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-04-27/

1. Numerical Semigroups with $a_e = 2g+1$

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-04-24/

1. Smith Form Equivalence for Several Classes of Multivariate Polynomial Matrices

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-04-23/

1. Epimorphisms of local cohomology modules, a general Peskine-Szpiro theorem, and an application to sheaf cohomology vanishing for thickenings
2. New bounds on Castelnuovo--Mumford regularity of monomial curves and application to sumsets
3. Multiple Tor modules: rigidity and Mayer-Vietoris spectral sequences
4. On the regularity index of the minimum distance function in projective nested Cartesian codes
5. On $S$-Prime Element Principle
6. $F$-finite schemes have a dualizing complex
7. Higher rank Gelfand-Kapranov-Zelevinsky fans

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-04-22/

1. Geometry of numbers and degree bounds for rational invariants
2. Change-of-Rings Theorems for the Small Finitistic Dimension
3. The reciprocal complement of a surface
4. Powers of Edge Ideals of Prime Ideal Graphs: Generators, Primary Decomposition, and Linear Powers

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-04-21/

1. Regularity of Squarefree Powers of Edge Ideals of Whiskered Cycles
2. A criterion for log regularity via log Frobenius-Witt differentials
3. Varieties of minimal degree in weighted projective space
4. Shuffling the Deck: Invariant Theory and the Graph Reconstruction Conjecture
5. Pulling back Cartier structures along regular maps

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-04-20/

1. Tensorial Constraints for Commuting Endomorphisms of the Generalized Tangent Bundle