Research

Papers and Preprints:

• Strip Decoupling Inequalities for the Paraboloid in R^3

• A Continuum of Small-Cap Decouplings and Exponential Sums for the Moment Curve in R^4

• The Ross-Darboux-Stieltjes Integral (with David Cruz-Uribe), to appear in Topol. Methods Nonlinear Anal..

• Additive Stability of Frames (with Oleg Asipchuk and Luis Rodriguez), Sampl. Theory Signal Process. Data Anal. 22 (2024), no. 2, Paper No. 20, 16 pp. 

Expository Talks:

• Stein's Sphereical Maximal Function. Presented at IU's mathematics graduate student seminar, September 2026

• Exponential Sums and the Decoupling Method. Presented at IU's mathematics graduate student seminar, April 2026

• "New Large Value Estimates for Dirichlet Polynomials" after Guth and Maynard. Presented at "Reading Groups in Analysis 2025" workshop at the University of Pennsylvania, August 2025. Joint with Siddharth Mulherkar, Kaiyi Huang, and Irving Yang.

• "Extremal Problems for GCDs" after Green and Walker. Presented at IU's mathematics graduate student seminar, January 2025