CV

Basics

Name Swaroop S. Hegde
Research interests Additive Combinatorics, Ramsey Theory, Probabilistic Methods in Combinatorics

Education

  • 2021 - Present

    Athens, GA

    PhD
    University of Georgia
    Mathematics
  • 2015 - 2020

    Bhubaneswar, India

    Integrated M.Sc.
    National Institute of Science Education and Research (NISER)
    Mathematics
    • Master's Thesis: Combinatorics and Representation Theory of Symmetric Groups

Work

  • 2021.08 - Present
    Instructor of Record
    University of Georgia
    Responsible for most aspects of the following courses including preparing course notes, delivering lectures, writing exams and quizzes, holding office hours and managing grades.
    • Calculus I (Math 2250): Spring 2025, Fall 2024, Fall 2023, Spring 2023, Fall 2022
    • PreCalculus (Math 1113): Fall 2026 (x2), Spring 2026 (x2), Fall 2025 (x2), Spring 2024 (x2), Spring 2022 (x2), Fall 2021
    • Online Precalculus (Math 1113E): Summer 2024

Awards

Publications

Courses

Selected Graduate Courses
Entropy Methods in Combinatorics
Ramsey Theory
Additive Combinatorics I & II
Probabilistic Methods in Combinatorics
Ergodic Theory
The Circle Method
Equations with Prime Variables
Algebraic Graph Theory
Quiver Representations
Commutative Algebra
Lie Algebras
Hopf Algebras
Selected Reading Courses
Asymptotics of Ramsey Number R(4,t) (Oral Exam)
Kelley-Meka bound for Roth's theorem
Some recent improvements on Freiman's Theorem
Polynomial Methods in Combinatorics
Reflection Groups

Conferences/workshops

Talks

  • 2026.09
    Generalized Schur Numbers
    UGA Analysis Seminar
  • 2026.03
    An Inverse Result for Ruzsa's Inequality on Triple Sumsets
    Graduate Student Combinatorics Conference, University of Illinois at Chicago
  • 2025.10
    An Inverse Result for Ruzsa's Inequality on Triple Sumsets
    Discrete Math Seminar, Iowa State University (virtual)
  • 2025.05
    An Inverse Result for Ruzsa's Inequality on Triple Sumsets
    CanaDAM Conference, Ottawa, Canada
  • 2025.05
    An Inverse Result for Ruzsa's Inequality on Triple Sumsets
    Integers Conference, UGA
  • 2024.03
    Ramsey number R(4,k)
    Oral Qualifying Exam Presentation, UGA
  • 2023.10
    AKS Algorithm for Primality Testing
    Combinatorial Number Theory Reading Seminar, UGA
  • 2023.10
    A Polygon Problem
    Graduate Student Seminar, UGA
  • 2023.04
    The RSK Correspondence
    Graduate Student Seminar, UGA
  • 2023.02
    Almost Periods of Convolutions and Application to Roth's Theorem
    Additive Combinatorics Reading Seminar, UGA
  • 2022.11
    Cores and Quotients of Integer Partitions
    Graduate Student Seminar, UGA
  • 2021.09
    Rédei's Theorem and Szőnyi Method
    Polynomial Methods Reading Seminar, UGA
  • 2019.04
    Roth's Theorem via Finite Fourier Analysis
    Math Seminar, NISER
  • 2018.04
    Pebbling the Chessboard
    NISER Open Day
  • 2017.02
    The Story of Dimension
    MathematiX Club, NISER
  • 2016.04
    Clock Arithmetic
    NISER Open Day (for high school students)
  • 2015.11
    Gödel's Incompleteness Theorems
    MathematiX Club, NISER

Mentoring

  • 2021.06 - Present
    Directed Reading Program, UGA Math Department
    Mentored UGA undergraduate students on various projects
    • Yan Heng: Formalization of Mathematics in Lean, Spring 2026
    • Benjamin Wang-Tie: Applications of Entropy in Combinatorics, Spring 2025
    • Aakash Khanal: Mathematics of Card Shuffling, Summer 2021

Service