I work on homological questions about structure resulting from a group action. When a group acts on an algebraic variety, the combinatorics of the orbit structure and induced grading on the structure sheaf shed light on the geometry of the variety, by providing more tools for computing important algebro-geometric invariants.

Christine Berkesch

School of Mathematics, Office 254

University of Minnesota

206 Church Street SE

Minneapolis, MN 55455

cberkesc@umn.edu

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I am a firm believer in

Federico Ardila's Axioms of
Mathematics.

**A sharp bound for hypergeometric rank in dimension three**

with María Cruz Fernández Fernández,

*preprint,*8 pages.**On the rank of an A-hypergeometric D-module vs. the normalized volume of A**

with María Cruz Fernández Fernández,

*Bulletin of the London Mathematical Society,***54**(2022), no. 1, 182--192.**Homological and combinatorial aspects of virtually Cohen--Macaulay sheaves**

with Patricia Klein, Michael C. Loper, and Jay Yang,

*Transactions of the London Mathematical Society,***8**(2021), no. 1, 413--434.**An illustrated view of differential operators on quotients of affine semigroup rings**

with C-Y. Jean Chan, Patricia Klein, Laura Felicia Matusevich, Janet Page, Janet Vassilev,

*Women Math. Ser.,***29**, Springer, 2021.**The characteristic cycle and Gevrey solutions of a hypergeometric system**

with María Cruz Fernández Fernández,

*Algebra Number Theory,***14**(2020), no. 2, 323--347.**On normalized Horn systems**

with Laura Felicia Matusevich and Uli Walther

*Collectanea Mathematica,***71**(2), 279--286.**Virtual resolutions for a product of projective spaces**

with Daniel Erman and Gregory G. Smith,

*Algebraic Geometry,***7**(4) (2020) 460--481.**Torus equivariant D-modules and hypergeometric systems**

with Laura Felicia Matusevich and Uli Walther,

*Advances in Mathematics*,**350**(2019), 1226--1266.**On the parametric behavior of A-hypergeometric series**

with Jens Forsgård and Laura Felicia Matusevich,

*Transactions of the AMS*,**370**(2018), no. 6, 4089--4109.**Hypergeometric Functions for Projective Toric Curves**

with Jens Forsgård and Laura Felicia Matusevich,

*Advances in Mathematics*,**300**(2016), 835--867.**Singularities of binomial D-modules**

with Laura Felicia Matusevich and Uli Walther,

*Journal of Algebra*,**439**(2015), 360--372.**Systems of parameters and holonomicity of A-hypergeometric systems**

with Stephen Griffeth and Ezra Miller,

*Pacific Journal of Mathematics*,**276-2**, (2015), 281--286.**Jack polynomials as fractional quantum Hall states and the Betti numbers of the (k+1)-equals ideal**

with Stephen Griffeth and Steven V Sam,

*Communications in Mathematical Physics*,**330**(2014), no. 1, pp. 415--434.**Euler--Mellin integrals and multivariate hypergeometric functions**

with Jens Forsgård and Mikael Passare,

*Michigan Mathematical Journal*,**63**, no. 1, 101--123.**Tensor complexes: Multilinear free resolutions constructed from higher tensors**

with Daniel Erman, Manoj Kummini, and Steven V Sam,

*Journal of the European Mathematical Society*,**15**(2013), no. 6, 2257--2295.**Three flavors of extremal Betti tables**

with Daniel Erman and Manoj Kummini,

*Commutative Algebra*, Springer, ed. Irena Peeva (2013), 99--122.**Poset structures in Boij--Söderberg theory**

with Daniel Erman, Manoj Kummini, and Steven V Sam,

*International Mathematics Research Notices*(2012), vol. 2012, 5132--5160.**Shapes of free resolutions over a local ring**

with Daniel Erman, Manoj Kummini, and Steven V Sam,

*Mathematische Annalen*,**354**(2012), no. 3, 939--954.**The cone of Betti diagrams over a hypersurface ring of low embedding dimension**

with Jesse Burke, Daniel Erman, and Courtney Gibbons,

*Journal of Pure and Applied Algebra*,**216**(2012), 2256--2268.**The rank of a hypergeometric system**

*Compositio Mathematica*,**147**(2011), no. 1, 284--318.**Algorithms for Bernstein--Sato polynomials and multiplier ideals**

with Anton Leykin,

*ISSAC 2010*.**A-graded methods for monomial ideals**

with Laura Felicia Matusevich,

*Journal of Algebra*,**322**(2009), 2886--2904.

**Combinatorial aspects of virtually Cohen--Macaulay sheaves**

with Patricia Klein, Michael C. Loper, and Jay Yang

*(Proc. FPSAC 2021) Sém. Lothar. Combin.*,**85B**(2021), Art. 63, 13 pp.**The geometry of toric syzygies**

*The Notices of the AMS*, April (2019). Reprinted April 2022.**Constructing virtual resolutions**

*Oberwolfach Report*,**43**(2019), 2679--2681.**Free complexes on smooth toric varieties**

*Oberwolfach Report*,**57**(2016).**Syzygies, finite length modules, and random curves**

with Frank-Olaf Schreyer,

*Commutative Algebra and Noncommutative Algebraic Geometry*,

MSRI Publications (2015), vol. 1, 25--52.**Boij--Söderberg theory and tensor complexes**

*Oberwolfach Report*,**25**(2013).

Math4471W Mathematics for Social Justice

Math4281 Introduction to Modern Algebra

Math5490 Undergraduate Topics: Mathematics for Social Justice (developed new course)

Math 8202 General Algebra II

Math8201 General Algebra I

Math 4281 Introduction to Modern Algebra

Math 8202 General Algebra

Math 8201
General Algebra

Math 8300
Topics

Math 8212
Commutative and Homological Algebra

Math 5385
Introduction to Computational Algebraic Geometry

Math 8211 Commutative and Homological Algebra

Math 8202 General Algebra

Math 4281
Introduction to Modern Algebra

Math 8201
General Algebra

Math 1271 Calculus I

Math 8212 Commutative and Homological Algebra

Math 8211 Commutative and Homological Algebra

Math 4281 Introduction to Modern Algebra

Math 4281 Introduction to Modern Algebra

This mini-conference is hosted jointly by Iowa State, Minnesota, and Wisconsin and highlights work in commutative algebra and related fields like algebraic geometry, number theory, combinatorics, and more.

This recurring week-long workshop is designed to support women, particularly women of color, who are in years 1–3 of graduate school and are considering research in algebra, combinatorics, geometry, topology, or number theory.

A follow-up to an April 2019 workshop,

A meeting of Macaulay2 developers, including a graduate student mini-school.

At UMN in May 2022, we aired fresh perspectives and open problems in combinatorics and algebra, those that will likely be important for the future.

A 2017 meeting in honor of Gennady Lyubeznik's 60th birthday.

I am the faculty advisor for this active, inspiring group of students! This AWM chapter aims to encourage women and non-binary folks to study and to have active careers in the mathematical sciences, and to promote equal opportunity and the equitable treatment of gender minorities in the mathematical sciences at the University of Minnesota.

I am the leader for this regional mentor group. The EDGE program is designed to strengthen the ability of women and minority students to successfully complete graduate programs in the mathematical sciences.

I was the 2019 coordinator for the UMN Combinatorics and Algebra REU and have continued involvement since 2018. This is funded by the NSF through our RTG in Combinatorics and Algebra Grant.