Razvan Gelca

Mathematical interests: I work in Chern-Simons theory, which is a field of mathematics that blends low dimensional topology, mathematical physics, geometry, and the theory of group representations. I am also involved in mathematics competitions such as the mathematical Olympiads and the W.L. Putnam Mathematical Competition.

Publications

journal publications

books

ERRATA to Putnam and Beyond

ERRATA to Theta Functions and Knots

my dissertation in postscript or pdf format

Doctoral students

• Jea-Pil Cho, graduated in 2012, now faculty at Lane College

• Hongwei Wang, graduated in 2017, now faculty at Texas A&M International

• Shamon Almeida, graduated in 2020, now faculty at University of Kelanyia, Sri Lanka

• Rachel Harris, graduated in 2021, now Director of Research at Airforce Test Pilot School

• Sunday Esebre, graduated in 2025, now training AI models to solve advanced mathematics problems for Mercor

• Alan Bohnert, still a student

Recent talks

Teaching Information:

• Lecture notes for Topology
  
  with homework sets and topics for the Preliminary examination

• Lecture notes for Functional Analysis

• Lecture notes for Low Dimensional Topology

• Lecture notes for Quantum Mechanics

• Lecture notes for Complex Analysis

  Homework sets:

  CA homework 1  CA homework 2  CA homework 3  CA homework 4  CA homework 5  CA homework 6  CA homework 7
  

  Topics for the Complex Analysis Preliminary examination

• Calculus III online, Fall 2020

• Lecture notes for undergraduate Geometry

• Linear Algebra, Fall 2021

• Differential Equations, Fall 2021

• Advanced Calculus, Fall 2025

  Adv Cal Syllabus
  Adv Cal homework 1
  Adv Cal homework 2
  Adv Cal homework 3
  Adv Cal homework 4
  Adv Cal homework 5
  Adv Cal homework 6
  Adv Cal homework 7

• Differential Equations, Spring 2026

  Diff EQ syllabus
  Diff EQ homework 1
  Diff EQ homework 2
  review for the 1st exam
  Diff EQ homework 3
  Diff EQ homework 4
  review fo the second exam
  

• Topology, Fall 2022

• Differential Equations I, Spring 2024

• Differential Equations II, Spring 2024

Follow this link to see photographs that I took during Mathematical Olympiads.

Links

• Department of Mathematics and Statistics, Texas Tech University
• Romanian Voice, an interesting site for those who want to learn more about my home country