Research


I am interested in algebraic combinatorics and Schubert calculus. I am a co-organizer of the UCLA Combinatorics Seminar.

Publications and Preprints

  1. With Igor Pak, ''Saturation property fails for Schubert coefficients'', preprint, arXiv:2601.04182, (2026), 13pp.
  2. ''A counterexample to the Ross–Yong conjecture for Grothendieck polynomials'', European Journal of Combinatorics, 131 (2026), Paper No. 104241, 13pp.
  3. With Igor Pak, ''Vanishing of Schubert coefficients in probabilistic polynomial time'', preprint, arXiv:2509.16467, (2025), 15pp.
  4. With Igor Pak and Weihong Xu, ''On Vanishing of Gromov–Witten invariants'', preprint, arXiv:2508.15715, (2025), 11pp.
  5. With Igor Pak, ''Signed Puzzles for Schubert Coefficients'', preprint, arXiv:2504.17734, (2025), 15pp.
  6. With Igor Pak, ''Vanishing of Schubert coefficients via the effective Hilbert nullstellensatz'', Forum of Mathematics, Sigma, Volume 13 (2025), 16pp.
  7. With Igor Pak, ''Vanishing of Schubert Coefficients'', preprint, arXiv:2412.02064, (2025), 24pp., extended abstract in Proc. 57th STOC 2025, 1118–1129. The arxiv version includes a joint appendix with David Speyer, resolving the type D case.
  8. With Igor Pak, ''Signed combinatorial interpretations in algebraic combinatorics '', Algebraic Combinatorics, Volume 8 (2025) no. 2, pp. 495–519.
  9. With Igor Pak, ''Positivity of Schubert Coefficients'', Positivity of Schubert coefficients. Comptes Rendus Mathématique, Volume 363 (2025), pp. 1507-1515.
  10. ''Castelnuovo–Mumford regularity for 321-avoiding Kazhdan–Lusztig varieties'', preprint, arXiv:2308.14208, (2023), 23pp.
  11. With Jenna Rajchgot, Anna Weigandt, ''Castelnuovo–Mumford regularity of ladder determinantal varieties and patches of Grassmannian Schubert varieties'', Journal of Algebra, Vol. 617 (2023), 160–191.
  12. With Harshit Yadav, Alexander Yong, ''Equivariant cohomology, Schubert calculus, and edge labeled tableaux'', in Facets of Algebraic Geometry: A Volume in Honour of William Fulton's 80th Birthday, London Mathematical Society Lecture Note Series, Vol. 2 (2022), Cambridge University Press, 284–335.
  13. With Jenna Rajchgot, Yi Ren, Avery St. Dizier, Anna Weigandt, ''Degrees of symmetric Grothendieck polynomials and Castelnuovo–Mumford regularity'', Proceedings of the American Mathematical Society, 149 (2021) no. 4, 1405–1416.
  14. ''Shifted edge labeled tableaux and localizations'', preprint, arXiv:2111.02971, (2021), 10pp.
  15. With Anshul Adve, Alexander Yong, ''An efficient algorithm for deciding vanishing of Schubert polynomial coefficients'', Advances in Mathematics, Vol. 383 (2021), 38 pp. This includes the technical sections of this preprint, which was split into this paper and an extended abstract ''Complexity, Newton polytopes, and Schubert polynomials'', which includes broader complexity discussions.
  16. With Harshit Yadav, Alexander Yong, ''The A.B.C.Ds of Schubert calculus'', Séminaire Lotharingien de Combinatoire B85a (2020), 12 pp.
  17. With Anshul Adve, Alexander Yong, ''Vanishing of Littlewood–Richardson polynomials is in P'', Computational Complexity, Vol. 28(2) (2019), 241–257.
  18. With Christian Gaetz, Michelle Mastrianni, Rebecca Patrias, Hailee Peck, David Schwein, Ka Yu Tam, ''K-Knuth Equivalence for Increasing Tableaux'', Electronic Journal of Combinatorics, Vol. 23(1) (2016), P1.40.

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