Sunita Chepuri
Research Interests
I am interested in algebraic combinatorics, especially total positivity, plabic networks, and cluster algebras. My current projects include studying graph LP algebras and investigating connections between Birkhoff polytopes and order polytopes.
Papers
Rooted clusters for graph LP algebras (with E. Banaian, E. Kelley, and S. Zhang). arXiv version: 2107.14785.
Electrical networks and Lagrangian Grassmannians (with T. George and D. Speyer). arXiv version: 2106.15418.
k-positivity of dual canonical basis elements from 1324- and 2143-avoiding Kazhdan-Lusztig immanants (with M. Sherman-Bennett). arXiv version: 2106.09150.
Symmetric group action of the birational R-matrix (with F. Lin). arXiv version: 2011.10128.
1324- and 2143-avoiding Kazhdan-Lusztig immanants and k-positivity (with M. Sherman-Bennett). arXiv version: 2002.07851.
Arborescences of covering graphs (with C. Dowd, A. Hardt, G. Michel, S. Zhang, and V. Zhang). arXiv version: 1912.01060.
Recovering conductances of resistor networks in a punctured disk (with Yulia Alexandr, Brian Burks, and Patricia Commins). arXiv version: 1812.01517.
Plabic R-matrices. arXiv version: 1804.02059.
Parametrizations of k-nonnegative matrices: cluster algebras and k-positivity tests (with Anna Brosowsky and Alex Mason). arXiv version: 1712.05037.
Factorizations of k-nonnegative matrices (with Neeraja Kulkarni, Joe Suk, and Ewin Tang). arXiv version: 1710.10867.
Talks and Posters
Snake Graphs for Graph LP Algebras. University of Washington Combinatorics and Geometry Seminar. October 18, 2023.
k-Positivity of the Dual Canonical Basis. Northeast Women in Algebra and Combinatorics Conference Celebrating the 50th Anniversary of the Association for Women in Mathematics. November 20, 2021.
Rooted Clusters for Graph LP Algebras. AlCoVE: an Algebraic Combinatorics Virtual Expedition. June 15, 2021.
Symmetric Action of the Geometric R-Matrix. AMS Fall Eastern Sectional Meeting. Octotber 4, 2020.
Plabic R-Matrices. MIT-Harvard-MSR Combinatorics Seminar. November 20, 2019.
Kazhdan-Lusztig Immanants for k-Positive Matrices. AMS Fall Central Sectional Meeting. University of Wisconsin - Madison. September 15, 2019.
Cluster Algebras and k-Positivity. Graduate Student Combinatorics Conference. April 6, 2019.
How to Win Your Bachelor Fantasy League. Math Club. University of Minnesota. April 19, 2018.
Total Positivity and Networks. Women in Math Introduction to Research Seminar. University of Minnesota. December 8, 2017.