CONFERENCE
The Ubiquity of Commutative Algebra
Ubiquité de l’algèbre commutative
16 – 20 March, 2026
Scientific Committee & Organizing Committee
Comité scientifique & Comité d’organisation
Marc Chardin (IMJ-PRG Paris)
Claudia Polini (University of Notre Dame)
Bernd Ulrich (Purdue University)
(1) Representation theory theoretic methods in Commutative Algebra,
(2) Differential graded algebras and infinite free resolutions,
(3) Singularity theory with a focus on prime and mix-characteristics and applications of perfectoid spaces,
(4) Elimination theory and its interaction with geometric modeling,
(5) Groebner degeneration,
(6) Geometry of syzygies.
Ces dernières années, l’algèbre commutative a connu des avancées remarquables, avec la résolution de plusieurs conjectures importantes, comme la conjecture du facteur direct d’Hochster, la conjecture de Stillman concernant la régularité de Castelnuovo-Mumford, la conjecture de Eisenbud et Goto, et la conjecture de Buchsbaum-Eisenbud-Horrocks. De nouvelles directions se sont développées et des liens inattendus avec d’autres champs des mathématiques, de la topologie à la combinatoire et du calcul formel aux statistiques, ont été découverts. L’interaction la plus forte et féconde reste probablement celles entre l’algèbre commutative et la géométrie algébrique.
Nos principaux sujets d’intérêt incluent:
(3) Théorie des singularités, notamment en caractéristique première ou mixte et applications des espaces pefectoïdes,
(4) Théorie de l’élimination et ses interactions avec la modélisation géométrique,
(5) Dégénérescence des bases de Groebner,
(6) Géométrie des syzygies.
SPEAKERS
Holger Brenner (University of Osnabrück) Around the Tangent Bundle around a Singularity
Benjamin Briggs (Imperial College London) Deformations and the homotopy Lie algebra
Michael Brown (Auburn University) Koszul duality for toric varieties
Alessio Caminata (University of Genoa) Schemes of points on hypersurfaces
Dale Cutkosky (University of Missouri) Multiplicities of graded families of ideals on Noetherian local rings
Hailong Dao (University of Kansas) Can AI do commutative algebra?
Emanuela De Negri (University of Genoa) Generalized binomial edge ideals are Cartwright-Sturmfels
Eleonore Faber (University of Graz) A derived McKay correspondence for some reflection groups and Hilbert Schemes
Kriti Goel (Indian Institute of Technology Jodhpur) A Buchsbaum theory for Frobenius closure
Elisa Gorla (Université de Neuchâtel) Geometric vertex decomposition and F-splitting
Hamid Hassanzadeh (Federal University of Rio de Janeiro) The Locus of Birational Maps of Polynomial Degree d on an Arbitrary Variety X, Bir(X)_d
Jack Jeffries (The University of Nebraska) Integer torsion in local cohomology and the classical nullcones
Joachim Jelisiejew (University of Warsaw) Deformations beyond Hilbert-Burch and Buchsbaum-Eisenbud theorems
Linquan Ma (Purdue University) The Briançon-Skoda theorem revisited
Cheng Meng (Tsinghua University) Analysis in Hilbert-Kunz theory
Jonathan Montaño (Arizona State University) The multiplicity sequence of monomial ideals
Dang Hop Nguyen (Vietnam Academy of Science and Technology) Asymptotic regularity of graded families of ideals
Xianglong Ni (University of Notre Dame) Higher structure maps and applications to linkage
Josh Pollitz (Syracuse University) Derived differential operators in prime characteristic
Pham Hùng Quý (FPT University Hanoi) The unmixed degrees
Alessio Sammartano (Politecnico Milan) The variety of orthogonal frames
Henry Schenck (Auburn University) The vacuum moduli space of the minimal supersymmetric standard model
Karl Schwede (University of Utah) Thresholds of singularities
Anurag Singh (University of Utah) Power sum polynomials
Ilya Smirnov (BCAM-Basque Center for Applied Mathematics) Hilbert-Kunz multiplicity of quadrics
Shunsuke Takagi (University of Tokyo) Supports of intersections of thick subcategories and proxy smallness
SPONSORS
