Research

Papers

• Classification of Finite Groups With Equal Left and Right Quotient Sets
  with Haran Mouli.
  Preprint.

  • We have been made aware of the paper by Marcel Herzog, Gil Kaplan, Patrizia Longobardi, and Mercede Maj: “Products of subsets of groups by their inverses,” which agrees with our main result and extends it to infinite groups. We are grateful to Liubomir Chiriac for showing us this result.

• Comparing Left and Right Quotient Sets in Groups
  with June Duvivier, Xiaoyao Huang, Ava Kennon, Say-Yeon Kwon, Steven J. Miller, Arman Rysmakhanov, and Ren Watson.
  Submitted to Proceedings of the Integers Conference 2025.

  • Advised by Steven J. Miller

• Breaking Universality in the Lower Order Terms in the 1-level and 2-level Density of Holomorphic Cusp Newforms
  with Lawrence Dillon, Xiaoyao Huang, Say-Yeon Kwon, Meiling Laurence, Steven J. Miller, Vishal Muthuvel, Luke Rowen, and Steven Zanetti.
  Submitted to Acta Arithmetica.

  • Advised by Steven J. Miller

• Centered Moments of Weighted One-Level Densities of $\mathrm{GL}(2)$ $L$-Functions
  with Lawrence Dillon, Xiaoyao Huang, Say-Yeon Kwon, Meiling Laurence, Steven J. Miller, Vishal Muthuvel, Luke Rowen, and Steven Zanetti.
  Submitted to Canadian Journal of Mathematics.

  • Advised by Steven J. Miller

• Finite-State Machines for Horospheres in Hyperbolic Right-Angled Coxeter Groups (arXiv)
  with Noah Jillson, Daniel Levitin, Katerina Stuopis, Qianruixi Wang, and Kaicheng Xue.
  Geometriae Dedicata. Volume 219, article number 37 (2025).
  • Advised by Tullia Dymarz and Daniel Levitin