You can find my works on the arXiv here.
My Google Scholar page is here.
My research is supported by NSF Grant DMS-2452179 and Simons Foundation Travel Support for Mathematicians Award MPS-TSM00007970.
Published papers
- (with M. Kulkarni, K. Mousavand, and J. Rock) A continuous associahedron of type A.
to appear in Mathematische Zeitschrift.
pdf | arXiv - (with L. Ferroni and L. Vecchi) Chow polynomials of posets.
Séminaire Lotharingien de Combinatoire (SLC) 93B.114 FPSAC'25, 12 pp.
pdf | doi
Note: This is the FPSAC Proceedings for Preprint #5 below. - (with Y. Cid-Ruiz and Y. Li) Logarithmic concavity of polynomials arising from equivariant cohomology.
Séminaire Lotharingien de Combinatoire (SLC) 93B.68 FPSAC'25, 12 pp.
pdf | doi
Note: This is the FPSAC Proceedings for Preprint #4 below. - (with L. Ferroni and L. Vecchi) Deletion formulas for equivariant Kazhdan–Lusztig polynomials of matroids.
SIAM Journal on Discrete Mathematics (SIDMA) 39 2025, no. 2, 848-862.
pdf | doi | arXiv - Poincaré polynomials associated to geometric lattices.
Oberwolfach report for workshop "Arrangements, Matroids and Logarithmic Vector Fields" 2024, Workshop 2425, Report No. 29.
pdf | doi
- (with L. Ferroni, M. Stevens, and L. Vecchi) Hilbert–Poincaré series of matroid Chow rings and intersection cohomology.
Advances in Mathematics (Adv. Math.) 2024, 449, Paper No. 109733.
pdf | doi | arXiv - (with T. Braden and N. Proudfoot) What is the Dowling–Wilson conjecture?
Notices of the American Mathematical Society (Not. Am. Math. Soc.) October 2024, Volume 71, No. 9, 1197-1201.
pdf | doi - (with A. Morales and J. Selover) The Newton polytope and Lorentzian property of chromatic symmetric functions.
Selecta Mathematica (Sel. Math. New Ser.) 2024, Volume 30, article number 42.
pdf | doi | arXiv
Update: Ricky Liu and Cynthia Vinzant found a counterexample to Conjecture 6.3 at n=8. - (with P. Anderson and J. Tymoczko) Generalized splines on two-labeled graphs and polynomial splines on cycles.
Electronic Journal of Combinatorics (EJC) 2024, Volume 31, Issue 1, P1.29.
pdf | doi | arXiv - A large class of conjecturally stable chromatic symmetric functions.
MATRIX Annals, MATRIX Program: Theory and Applications of Stable Polynomials 2021–2022.
doi
Update: Ricky Liu and Cynthia Vinzant found a counterexample to Conjecture 2 (= Conjecture 6.3 in Published Paper #8 above) at n=8. - (with L. Ferroni, M. Stevens, and L. Vecchi) Hilbert–Poincaré series of matroid Chow rings and intersection cohomology.
Séminaire Lotharingien de Combinatoire (SLC) 89B.36 FPSAC'23, 12 pp.
pdf | doi
Note: This is the FPSAC Proceedings for Published Paper #6 above. - (with T. Braden, J. Huh, N. Proudfoot, and B. Wang) A semi-small decomposition of the Chow ring of a matroid.
Advances in Mathematics (Adv. Math.) 2022, 409A, Paper No. 108646.
video | slides (handwritten) | pdf | doi | arXiv - (with M. Kulkarni, N. Livesay, B. Nguyen, and D. Sage) The Deligne–Simpson problem for connections on G_m with a maximally ramified singularity.
Advances in Mathematics (Adv. Math.) 2022, 408, Paper No. 108596.
pdf | doi | arXiv - (with D. Miyata, N. Proudfoot, and E. Ramos) Equivariant log concavity and representation stability.
International Mathematics Research Notices (IMRN) 2021, rnab352.
pdf | doi | arXiv | code - (with A. Garver, S. Grosser, and A. Morales) Counting linear extensions of posets with determinants of hook lengths.
SIAM Journal on Discrete Mathematics (SIDMA) 35 2021, no. 1, 205-233.
pdf | doi | arXiv - (with A. Garver, S. Grosser, and A. Morales) Counting linear extensions of posets with determinants of hook lengths.
Séminaire Lotharingien de Combinatoire (SLC) 85B.60 FPSAC'21, 12 pp.
pdf | doi
Note: This is the FPSAC Proceedings associated to the expanded version of the article above. - (with J. Huh, K. Mészáros, and A. St. Dizier) Logarithmic concavity of Schur and related polynomials.
Transactions of the American Mathematical Society, 375, June 2022, no. 6, 4411-4427.
slides | pdf | doi | arXiv | code - (with A. Garver, K. Igusa, and J. Ostroff) Combinatorics
of exceptional sequences in type A.
Electronic Journal of Combinatorics (EJC) 2019, 1-20.
pdf | doi | arXiv
- (with A. Garver) A combinatorial model for exceptional
sequences in type A.
Discrete Mathematics & Theoretical Computer Science DMTCS proc. FPSAC'15, 393-404.
pdf | doi | arXiv
Note: pdf and arXiv are expanded versions of the FPSAC extended abstract in doi.
- (with G. Muller) Computing upper cluster algebras.
International Mathematics Research Notices (IMRN) 2015, 3121-3149.
pdf | doi | arXiv | code (on SageMath)
Preprints
- (with Y. Cid-Ruiz and A. Shapiro) Syzygies of polymatroidal ideals.
submitted.
pdf | arXiv - (with C. Eur, L. Ferroni, R. Pagaria, and L. Vecchi) Building sets, Chow rings, and their Hilbert series.
submitted.
pdf | arXiv - (with A. Khare and A. St Dizier) Log-concavity of characters of parabolic Verma modules, and of restricted Kostant partition functions.
submitted.
pdf | arXiv - (with Y. Cid-Ruiz and Y. Li) Log-concavity of polynomials arising from equivariant cohomology.
submitted.
pdf | arXiv - (with L. Ferroni and L. Vecchi) Chow functions for partially ordered sets.
submitted.
pdf | arXiv - (with T. Braden, J. Huh, N. Proudfoot, and B. Wang) Singular Hodge theory for combinatorial geometries.
submitted.
video | slides 1 | slides 2 | poster | pdf | arXiv - (with E. Bucher, C. Eppolito, and J. Jun) Matroid-minor Hopf algebra: a cancellation-free antipode formula and other applications of sign-reversing involutions.
submitted.
pdf | arXiv - (with P. Achar and M. Kulkarni) Combinatorial Fourier
transform for quiver representation varieties in type A.
submitted.
slides | poster | arXiv - (with E. Bucher) A cancellation-free antipode formula for the restriction-contraction matroid Hopf algebra.
preprint.
pdf | arXiv
Not intended for publication (subsumed by Preprint 8 above). - Derived Geometric Satake equivalence, Springer
correspondence, and small representations.
This is my dissertation work.
dissertation | slides