Scholarly works
⭐ Systolic almost‑rigidity modulo 2 , with H. Alpert and L. Guth, J. Eur. Math. Soc. (2026)
Geometric bounds for persistence , with B. Coskunuzer and F. Mémoli, Trans. Am. Math. Soc. (2025)
Macroscopic scalar curvature and codimension 2 width , with H. Alpert and L. Guth, J. Topol. Anal. (2024)
Systolic inequalities for the number of vertices , with S. Avvakumov, A. Hubard, and R. Karasev, J. Topol. Anal. (2024)
⭐ Waist of maps measured via Urysohn width , with A. Berdnikov, Trans. Am. Math. Soc. (2022)
⭐ Local‑to‑global Urysohn width estimates , with A. Berdnikov, J. für die Reine und Angew. Math. (Crelles) (2021)
⭐ Bounds on Urysohn width , PhD thesis at MIT under the supervision of Larry Guth (2021)
A multi‑plank generalization of the Bang and Kadets inequalities , Isr. J. Math. (2021)
⭐ Flip cycles in plabic graphs , with J. Wellman, Selecta Math. (N.S.) (2020)
⭐ Equality cases in Viterbo’s conjecture and isoperimetric billiard inequalities , Int. Math. Res. Not. (2020)
On the circle covering theorem by A. W. Goodman and R. E. Goodman , with A. Akopyan and M. Grigorev, Discrete Comput. Geom. (2018)
Optimality of codes with respect to error probability in Gaussian noise , with R. Karasev and A. Tsigler, preprint (2017)
On projectively invariant points of an oval with a distinguished exterior line , with A. Savchik, R. Gafarov, I. Konovalenko, Probl. Inform. Transm. (2017)
Dependence of the heavily covered point on parameters , with R. Karasev, preprint (2016)
Shortest closed billiard trajectories in the plane and equality cases in Mahler’s conjecture , Geom. Dedicata (2016)
Billiards in convex bodies with acute angles , with A. Akopyan, Israel J. Math. (2016)
Elementary approach to closed billiard trajectories in asymmetric normed spaces , with A. Akopyan, R. Karasev, and A. Sharipova, Proc. Amer. Math. Soc. (2016)
Another ham sandwich in the plane , with A. Garber and R. Karasev, Ann. Comb. (2015)