[1] A positive answer to Bárány’s question on face numbers of polytopes. Combinatorica 43 (2023).

[2] Lower bounds on face numbers of polytopes with m facets. Electronic Journal of Combinatorics 32 (2025).

[3] Face numbers of shellable CW balls and spheres. Israel Journal of Mathematics, to appear.

[4] Reconstructing polytopes and pseudomanifolds. Submitted.

[5] Fat shellable spheres. Submitted.

Undergraduate Papers

The unreasonable rigidity of Ulam sets and sequences (with Borys Kuca, Alexander Schlesinger, and Arseniy Sheydvasser). Journal of Number Theory 194 (2019).

Rigidity of Ulam sets and sequences (with Borys Kuca, Alexander Schlesinger, and Arseniy Sheydvasser). Involve 12 (2019).

Minimizing closed geodesics on polygons and disks (with Ian Adelstein, Arthur Azvolinsky, and Alexander Schlesinger). Involve 14 (2021).

Conference Slides

A positive answer to Bárány’s question on face numbers of polytopes (Stony Brook, NY, 2023)

Face numbers of shellable CW balls and spheres (Riverside, CA, 2024)

Just for Fun!

Visual proof that the group G = ⟨a, b, c | a-1ba = b2, b-1cb = c2, c-1ac = a2⟩ is trivial