Analytic and elementary number theory, additive combinatorics, probabilistic methods in combinatorics.
2022–present · PhD in Mathematics, University of Georgia, Athens, GA, USA.
Advisors: Giorgis Petridis and Paul Pollack
2019–2022 · B.Math (Hons.), Indian Statistical Institute, Bengaluru, India
Extensions of the Furstenberg–Sárközy theorem via the arithmetic level-d inequality, with Carlo Francisco E. Adajar, Mukul Rai Choudhuri, Chian Yeong Chuah, Steve Fan, Swaroop Hegde, Andrew Lott, Krishnamohan Nandakumar and Nagendar Reddy Ponagandla. Submitted. arXiv:2605.16216
More on the sum-product problem for integers with few prime factors, with Thomas F. Bloom and Giorgis Petridis. Submitted. arXiv:2512.04931
2026 · David Galewski Department Teaching Award, University of Georgia
2026 · Outstanding Teaching Assistant Award, University of Georgia
2019–2022 · B.Math scholarship, Indian Statistical Institute
Oct 2026 · Unit fraction representations using shifted Golomb primes, Atlanta Discrete Analysis Seminar, Georgia Tech, Atlanta, USA
Mar 2026 · Writing rational numbers as sums of reciprocals of Golomb primes, Graduate Student Combinatorics Conference, University of Illinois Chicago, USA
Jan 2026 · Writing rational numbers as sums of reciprocals of Golomb primes, Additive Combinatorics and Applications session, Canadian Mathematical Society (virtual, invited)
May 2025 · Writing rational numbers as sums of reciprocals of Golomb primes, INTEGERS Conference, University of Georgia, Athens, GA, USA
Apr 2025 · Sum-product problem for rational numbers with few prime factors, AMS Spring Eastern Sectional Meeting, Hartford, CT, USA
Jun 2024 · Function field Egyptian fractions, Early-Career Conference in Combinatorics, University of Illinois Urbana-Champaign, USA
Dec 2023 · Function field Egyptian fractions, PANTS XXXVII, University of Georgia, Athens, GA, USA
Dec 2021 · Gallagher’s sieve and Diophantine m-tuples, LIMIT camp, Indian Statistical Institute, Bengaluru, India
Aug 2026 · Graduate Workshop in Logic and Combinatorics, University of Illinois Chicago, USA
Jun 2026 · Simons School and Workshop on Harmonic Analysis and Applications to Ramsey Theory, Rényi Institute, Budapest, Hungary
May 2026 · Simons School and Workshop on Discrete Harmonic Analysis and Analytic Number Theory, Rényi Institute, Budapest, Hungary
Mar 2026 · Graduate Student Combinatorics Conference, University of Illinois Chicago, Chicago, IL, USA
Jul 2025 · PCMI Graduate Summer School on Extremal and Probabilistic Combinatorics, Park City, UT, USA
Jun 2025 · Graduate Research Workshop in Combinatorics, Iowa State University, Ames, IA, USA (funded participant)
May 2025 · INTEGERS Conference, University of Georgia, Athens, GA, USA
Apr 2025 · AMS Sectional Meeting, CT Convention Center, Hartford, CT, USA
Mar 2025 · Algebraic and Analytic Methods in Combinatorics, SLMath, Berkeley, CA, USA
Feb 2025 · Introductory Workshop: Graph Theory: Extremal, Probabilistic and Structural, SLMath, Berkeley, CA, USA
2023–present · Instructor of record, University of Georgia.
Precalculus: Fall 2023, Fall 2024 (x2), Fall 2025 (x2), Spring 2026 (x2), Fall 2026 (x2)
Calculus I: Spring 2024, Spring 2025
Spring 2023 · Teaching assistant, Calculus II, University of Georgia
2023–2026 · Directed Reading Program mentor, University of Georgia. Undergraduate reading projects: Algebraic methods in graph theory (Spring 2026), Continued fractions and Pell’s equation (Fall 2023), Asymptotic sum of the harmonic series and related infinite series (Spring 2023)
Dec 2020 · Mentor, LIMIT camp, Indian Statistical Institute, Bengaluru, India
2026 · Volunteer for Sonia Kovalevsky Day
Aug 2023–May 2025 · Co-organizer for Graduate Student Seminar
Aug 2024–present · Department Ombudsperson
Aug 2024–May 2025 · Treasurer for the AWM chapter at the University of Georgia
2022, 2024 · Volunteer for high school math competition
2023, 2024 · Peer mentor for first-year graduate students