Melissa Sherman-Bennett

Melissa Sherman-Bennett

Department of Mathematics
Harvard University
Office: 425b Science Center


I'm a fifth year PhD student at UC Berkeley, currently (virtually) visiting Harvard University. I am applying for research postdocs this fall. My interests run towards cluster algebras, total positivity, and the structure of the totally nonnegative Grassmannian.


Papers & Projects

  1. Positroid cluster structures from relabeled plabic graphs (with Chris Fraser). arXiv:2006.10247.
  2. 1324- and 2143-avoiding Kazhdan-Lusztig immanants and k-positivity (with Sunita Chepuri). arXiv:2002.07851.
  3. Cluster structures in Schubert varieties in the Grassmannian (with Khrystyna Serhiyenko and Lauren Williams). Proc. Lond. Math. Soc. (6) 119 (2019) 1694-1744. arXiv:1902.00807 .
  4. Combinatorics of X-variables in finite type cluster algebras. J. Combin. Theory Ser. A , 165 (2019), 273-298. arXiv:1803.02492 .
  5. Large induced acyclic and outerplanar subgraphs of low treewidth planar graphs (with Cora Borradaile and Hung Viet Le). Graphs and Combinatorics (2017), 33, no. 6, 1621-1634, 2017. arXiv:1711.00212.
  6. Chromatic Ramsey number of hypergraphs (with Andras Gyarfas and Alex Riasanovsky). Discrete Mathematics 340 (2017), 373-378. arXiv:1509.00551.
  7. On groups and their graphs. My undergraduate senior thesis, focusing on some connections between finite groups and their Cayley graphs. Includes results on colorings of Cayley graphs that respect certain subgroups of their automorphism groups.

Talk Slides and Notes


This semester I am organizing a reading group on Coxeter matroids, and co-organizing the Berkeley combinatorics seminar with Sylvie Corteel.

I co-organized the Talking About Combinatorial Objects Student Seminar (TACOS) with Mario Sanchez in Spring 2018 on Coxeter groups and related topics.