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 have also been involved for a long time in mathematics competitions such as the mathematical Olympiads and the W.L. Putnam Mathematical Competition.

Publications

journal publications

books

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, graduated in 2026

Teaching Information:

• Lecture notes for Topology

• Lecture notes for Quantum Mechanics

• Lecture notes for Functional Analysis

• Lecture notes for Low Dimensional Topology

• Lecture notes for Complex Analysis

• Lecture notes for undergraduate Geometry

Photographs

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