I am an Assistant Professor of Mathematics at Tennessee Tech University. My research is in number theory and arithmetic geometry, with an emphasis on elliptic curves, torsion points, and Galois representations.
Before joining Tennessee Tech, I was a Zassenhaus Visiting Assistant Professor (postdoc) at the Ohio State University. I received my PhD from the University of Georgia in 2023; my advisor was Pete L. Clark. See my research page above for papers and preprints, or download my CV.
Recent Student Talks
- (Part 2) Elliptic Curves in Practice: Complex Tori, Cryptography, and Rational Points — Tennessee Tech Graduate Student Seminar, (slides, PDF, 46 pages).
- (Part 1) Elliptic Curves in Nature: From Cannonballs to Fermat’s Last Theorem — Tennessee Tech Graduate Student Seminar, (slides, PDF, 31 pages).
- Elliptic Curves, Torsion Points, and Galois Representations — CTNT 2026 Conference, (slides, PDF, 40 pages; video recording).
Recent Course Notes
- Notes on Elementary Number Theory — undergraduate course notes, Spring 2026 (PDF, 172 pages).
- The Arithmetic of Elliptic Curves — graduate course notes, Spring 2025 (PDF, 191 pages).
The Professor Profiles: Tyler Genao and His Passion for Mathematics, The Lantern, December 2025.
