About

I am an incoming graduate student at the University of Illinois Urbana-Champaign. Previously, I was an undergraduate student at Rutgers University until 2026. As an undergraduate, I participated in the 2025 Clemson University REU in Number Theory and the 2024 DIMACS REU. Within mathematics, I am primarily interested in analysis. More specifically, I would describe my interests as being in harmonic analysis and its applications, including those to analytic number theory and partial differential equations. You can see my Papers and Teaching pages, as well as my CV (linked below), for more information. You can reach me by email: ishs2 [at] illinois [dot] edu.

Links

• My CV
• My DIMACS REU site
• Rutgers DRP projects – I have participated in the Directed Reading Program and given a presentation multiple times.

News

• April 12, 2026: I received an Honorable Mention in the 2026 NSF GRFP competition!
• July 20, 2025: The paper "Pointwise ergodic theorems along fractional powers of primes" (joint work with Erik Bahnson, Leonidas Daskalakis, and Abbas Dohadwala) has been accepted for publication by International Mathematics Research Notices!
• October 25, 2024: I was awarded the Excellent PTL/Grader Award from the Department of Computer Science at Rutgers University! (highlight)