Research
Preprints
On combinatorial invariance of parabolic Kazhdan-Lusztig polynomials, with Grant Barkley (2024).
Web bases in degree two from hourglass plabic graphs, with Oliver Pechenik, Stephan Pfannerer, Jessica Striker, and Josh Swanson (2024).
Rotation-invariant web bases from hourglass plabic graphs, with Oliver Pechenik, Stephan Pfannerer, Jessica Striker, and Josh Swanson (2023).
Promotion permutations for tableaux, with Oliver Pechenik, Stephan Pfannerer, Jessica Striker, and Josh Swanson (2023).
Combinatorial invariance for Kazhdan-Lusztig R-polynomials of elementary intervals, with Grant Barkley (2023).
On the minimal power of q in a Kazhdan-Lusztig polynomial, with Yibo Gao (2023).
Repeatable patterns and the maximum multiplicity of a generator in a reduced word, with Yibo Gao, Pakawut Jiradilok, Gleb Nenashev, and Alexander Postnikov (2022).
Journal articles
Balance constants for Coxeter groups, with Yibo Gao. Transactions of the American Mathematical Society (in press).
One-skeleton posets of Bruhat interval polytopes. Advances in Mathematics (2023).
On automorphisms of undirected Bruhat graphs, with Yibo Gao. Math. Zeitschrift (2023).
Positivity of permutation pattern character polynomials, with Laura Pierson. Advances in Applied Mathematics (2023).
Products of reflections in smooth Bruhat intervals, with Ram K. Goel. Journal of Combinatorics (2023).
Spherical Schubert varieties and pattern avoidance. Selecta Mathematica (2022).
Diameters of graphs of reduced words and rank-two root subsystems, with Yibo Gao. Proceedings of the American Mathematical Society (2022).
Minimal elements for the limit weak order on affine Weyl groups, with Yibo Gao. Bulletin of the London Mathematical Society (2022).
The hull metric on Coxeter groups, with Yibo Gao. Combinatorial Theory (2022).
Curious cyclic sieving on increasing tableaux, with Oliver Pechenik, Jessica Striker, and Joshua P. Swanson. Enumerative Combinatorics and Applications (2022).
Stable characters from permutation patterns, with Christopher Ryba. Selecta Mathematica (2021).
On q-analogs of descent and peak polynomials, with Yibo Gao. European Journal of Combinatorics (2021).
The Sperner property for 132-avoiding intervals in the weak order, with Katherine Tung. Bulletin of the London Mathematical Society (2021).
Separable elements and splittings of Weyl groups, with Yibo Gao. Advances in Mathematics (2020).
Self-dual intervals in the Bruhat order, with Yibo Gao. Selecta Mathematica (2020).
Separable elements in Weyl groups, with Yibo Gao. Advances in Applied Mathematics (2020).
Padded Schubert polynomials and weighted enumeration of Bruhat chains, with Yibo Gao. Proceedings of the American Mathematical Society (2020).
On the Sperner property for the absolute order on complex reflection groups, with Yibo Gao. Algebraic Combinatorics (2020).
A combinatorial duality between the weak and strong Bruhat orders, with Yibo Gao. Journal of Combinatorial Theory, Series A (2020).
A combinatorial sl(2)-action and the Sperner property for the weak order, with Yibo Gao. Proceedings of the American Mathematical Society (2020).
Path counting and rank gaps in differential posets, with Praveen Venkataramana. Order (2019).
Dual graded graphs and Bratteli diagrams of towers of groups. Electronic Journal of Combinatorics (2019).
Differential posets and restriction in critical groups, with Ayush Agarwal. Algebraic Combinatorics (2019).
Critical groups of group representations. Linear Algebra and its Applications (2016).
K-Knuth Equivalence for Increasing Tableaux, with Michelle Mastrianni, Rebecca Patrias, Hailee Peck, Colleen Robichaux, David Schwein, and Ka Yu Tam. Electronic Journal of Combinatorics (2016).
Peer-reviewed conference proceedings
Bruhat interval polytopes, 1-skeleton lattices, and smooth torus orbit closures. Séminaire Lotharingien de Combinatoire, 89B (2023).
An SL(4)-Web Basis from Hourglass Plabic Graphs, with Oliver Pechenik, Stephan Pfannerer, Jessica Striker, and Josh Swanson. Séminaire Lotharingien de Combinatoire, 89B (2023).
Automorphisms of Undirected Bruhat graphs, with Yibo Gao. Séminaire Lotharingien de Combinatoire, 89B (2023).
Combinatorial invariance for lower intervals using hypercube decompositions, with Grant Barkley. Séminaire Lotharingien de Combinatoire, 89B (2023).
The Maximum Multiplicity of a Generator in a Reduced Word, with Yibo Gao, Pakawut Jiradilok, Gleb Nenashev and Alexander Postnikov. Séminaire Lotharingien de Combinatoire, 85B (2021).
The 1/3-2/3 Conjecture for Coxeter Groups, with Yibo Gao. Séminaire Lotharingien de Combinatoire, 85B (2021).
Minimal Elements for the Limit Weak Order on Affine Weyl Groups, with Yibo Gao. Séminaire Lotharingien de Combinatoire, 85B (2021).
Separable Elements: Linear Extensions, Graph Associahedra, and Splittings of Weyl Groups, with Yibo Gao. Séminaire Lotharingien de Combinatoire, 84B.7 (2020).
The weak Bruhat order on the symmetric group is Sperner, with Yibo Gao. Séminaire Lotharingien de Combinatoire, 82B.35 (2019).
Differential Posets, Cayley Graphs, and Critical Groups, with Ayush Agarwal. Séminaire Lotharingien de Combinatoire, 80B.11 (2018).
Other research and writing
PhD thesis: New combinatorics of the weak and strong Bruhat orders
Positive geometries notes: Canonical forms of polytopes from adjoints
Undergraduate thesis: Critical groups of McKay--Cartan matrices.
Undergraduate research report: Extensions of the Shi/Ish duality, with Michelle Bodnar, Nitin Prasad, Brendon Rhoades, and Björn Wehlin.