CV

Basics

Name Swaroop Hegde
Label PhD Candidate in Mathematics
Research interests Additive Combinatorics, Extremal Combinatorics, Probabilistic Methods in Combinatorics

Education

  • 2021 - Present

    Athens, GA

    PhD
    University of Georgia, Athens, GA
    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
    Graduate Student Instructor
    Universiy of Georgia
    Responsible for most aspects of the course 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): Spring 2026 (x2), Fall 2025 (x2), Spring 2024 (x2), Spring 2022 (x2), Fall 2021
    • Online Precalculus (Math 1113E): Summer 2024

Service

Awards

Courses

Selected Graduate Courses
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

Publications

Conferences/workshops

Talks

  • 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
  • 2025.04
    An Inverse Result for Ruzsa's Inequality on Triple Sumsets
    Number Theory Seminar, 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