Christine Berkesch

20092023
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D-module Mathematics
Free Resolution Mathematics
Minimal Free Resolution Mathematics
Hypergeometric Functions Mathematics
System of Differential Equations Mathematics
Betti numbers Mathematics
Parameter Space Mathematics
Cone Mathematics

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Projects 2013 2023

RTG Combinatorics and Algebra

Pylyavskyy, P., Berkesch, C., Brubaker, B., Musiker, G. J. & Reiner, V. S.

National Science Foundation

7/1/186/30/23

Project: Research project

Combinatorics
Algebra
Commutative Algebra
Group Action
Commutative Algebra
Local Cohomology
Algebraic Geometry
Algebra

Research Output 2009 2019

On normalized Horn systems

Berkesch, C., Matusevich, L. F. & Walther, U., Jan 1 2019, In : Collectanea Mathematica.

Research output: Contribution to journalArticle

System of Differential Equations
Differential equations
1 Citation (Scopus)

Torus equivariant D-modules and hypergeometric systems

Berkesch, C., Matusevich, L. F. & Walther, U., Jul 9 2019, In : Advances in Mathematics. 350, p. 1226-1266 41 p.

Research output: Contribution to journalArticle

D-module
Equivariant
Torus
Hypergeometric Equation
Characteristic Variety

On the parametric behavior of a-hypergeometric series

Berkesch, C., Forsgård, J. & Matusevich, L. F., Jan 1 2018, In : Transactions of the American Mathematical Society. 370, 6, p. 4089-4109 21 p.

Research output: Contribution to journalArticle

Hypergeometric Series
Series Solution
Stratification
Parameter Space
1 Citation (Scopus)

Hypergeometric functions for projective toric curves

Berkesch, C., Forsgård, J. & Matusevich, L. F., Sep 10 2016, In : Advances in Mathematics. 300, p. 835-867 33 p.

Research output: Contribution to journalArticle

Hypergeometric Functions
Union
Monomial Curve
Curve
Parameter Space
3 Citations (Scopus)

Singularities and holonomicity of binomial D-modules

Berkesch, C., Matusevich, L. F. & Walther, U., Oct 1 2015, In : Journal of Algebra. 439, p. 360-372 13 p.

Research output: Contribution to journalArticle

D-module
Singularity
Locus
Characteristic Variety
Nonholonomic