Research

Publications and Preprints

  1. On two notions of total positivity for generalized partial flag varieties of classical Lie types - with G. Barkley, J. Boretsky, and C. Eur (submitted)
  2. Rigidity matroids and linear algebraic matroids with applications to matrix completion and tensor codes - with J. Brakensiek, M. Dhar, S. Gopi, and M. Larson (submitted)
  3. Quotients of Special Classes of Positroids - with Z. Chen, Y. Fei, Y. Sun, and Y. Zhang (submitted)
  4. Quantum Bruhat Graphs and Tilted Richardson Varieties - with S. Gao and Y. Gao (in preprint)
  5. Balanced Shifted Tableaux - with S. Gao and Y. Gao (Discrete Mathematics, 2024)
  6. Sandpile Groups of Cayley Graphs over F_2^r - with C. H. Yuen, J. Marx-Kuo, and V. McDonald (Communications of Algebra, 2024)
  7. Acyclic Orientations and the Chromatic Polynomial of Signed Graphs (submitted)
  8. Virtual Complete Intersections in P1 \times P1 - with Y. Li, M. Loper, and A. Mattoo (Journal of Pure and Applied Algebra, 2021)
  9. Generating Functions for f-vectors and the cd-index of Weight Polytopes - with V. McDonald (REU report)

 

Talks and Posters

  1. Quantum Bruhat Graphs and Tilted Richardson Varieties - Cornell Discrete Geometry and Combinatorics Seminar, Ithaca NY, Apr 2024 (slides)
  2. A Tale of Three Matroids - AMS New England Graduate Student Conference, Providence RI, Apr 2024 (slides)
  3. Pecha Kucha (video) - Richard P. Stanley Seminar in Combinatorics, Cambridge MA, Mar 2024 (slides)
  4. A Tale of Three Matroids - Graduate Student Combinatorics Conference (GSCC), Pittsburg PA, Mar 2024 (slides) 
  5. Quantum Bruhat Graphs and Tilted Richardson Varieties - UCSD Combinatorics Seminar, San Diego CA, Feb 2024 (slides)
  6. Quantum Bruhat Graphs and Tilted Richardson Varieties - Richard P. Stanley Seminar in Combinatorics, Cambridge MA, Dec 2023 (slides)
  7. Quantum Bruhat Graphs and Tilted Richardson Varieties - UIUC Algebra, Geometry, Combinatorics Seminar, Champaign IL, Nov 2023 (slides)
  8. Quantum Bruhat Graphs and Tilted Richardson Varieties - Brandeis Combinatorics Seminar, Waltham MA, Oct 2023 (notes)
  9. Quantum Bruhat Graphs and Tilted Richardson Varieties - University of Minnesota Twin Cities Combinatorics Seminar, Minneapolis MN, Sep 2023 (slides)
  10. Riemann-Roch on Graphs - Harvard Trivial Notions Seminar, Cambridge MA, Apr 2023 (notes)
  11. Balanced Shifted Tableaux - Graduate Student Combinatorics Conference (GSCC), St. Louis MO, Mar 2023 (slides)
  12. Balanced Shifted Tableaux - Combinatoire Enumerative et Analytique, Paris France, Oct 2022 (slides)
  13. The Sandpile Group of Cayley Graphs of F2^r - University of Vermont Combinatorics Seminar, Burlington VT, Sep 2022 (notes)
  14. Toric Arrangements, Acyclic Orientations, and the Chromatic Polynomial of Signed Graphs - MIT-Harvard-MSR Combinatorics Seminar, Cambridge MA, Feb 2022 (notes)
  15. Generating Functions for f-vectors of Simple Weight Polytopes - with V. McDonald, Joint Mathematics Meetings 2019, Baltimore MD, Jan 2019 (slides)
  16. Virtual Complete Intersections of Points in P1 \times P1 - with A. Mattoo and Y. Li, Joint Mathematics Meetings 2019, Baltimore MD, Jan 2019 (slides, poster)
  17. The Sandpile Group of Cayley Graphs - with V. McDonald, Joint Mathematics Meetings 2019, Baltimore MD, Jan 2019 (poster)