Kenji Terao

About

I am a fourth-year PhD student, working under the supervision of Prof. Samir Siksek. My research interests lie in algebraic number theory, particularly the study of algebraic points on modular curves. I was an organizer for the Warwick Junior Number Theory Seminar in 2024-25.

Education

I previously completed my MMath degree at the University of Warwick. My research project was entitled "The Wieferich criterion and class field theory", done under the supervision of Samir Siksek.

Preprints

"Computing class groups and gonalities of algebraic curves over finite fields" (with Maarten Derickx), 2026, arXiv:2602.17417
"Degrees of points with rational $j$ -invariant on $X_0(n)$ and $X_1(n)$ ", 2025, arXiv:2507.13199
"Isolated points on modular curves", 2024, arXiv:2412.13108

Teaching

TA for MA4A5 Algebraic Geometry (2025-26)
TA for MA426 Elliptic Curves (2025-26)
TA for MA3A6 Algebraic Number Theory (2024-25)
TA for MA4A5 Algebraic Geometry (2023-24)

Talks

"An introduction to modular curves", Manchester Number Theory Seminar, Manchester, October 2025
"Degrees of points with rational $j$ -invariant on $X_0(n)$ and $X_1(n)$ ", Seminar on Number Theory and Algebra, Zagreb, October 2025
"Degrees of points on $X_0(n)$ and $X_1(n)$ ", Algebraic points on curves, Providence, June 2025 [slides]
"Modular curves and isolated points", London Junior Number Theory Seminar, London, March 2025
"Modular curves and isolated points", Linfoot Number Theory Seminar, Bristol, February 2025
"Faltings's theorem and isolated points", Y-RANT VI, Oxford, August 2024 [slides]
"Maps between isolated points on modular curves", Modular curves and their arithmetic, Warwick, December 2023 [slides]
"Maps between isolated points on modular curves", Modular curves and Galois representations, Zagreb, September 2023 [slides]

Contact

My email address is kenji dot terao at warwick dot ac dot uk.