Yuta Nakayama

graduate student
Department of Mathematics, Princeton University

I am a third-year graduate student at Princeton University, advised by Professor Shou-Wu Zhang. Before that, I was a master's student at the University of Tokyo, advised by Professor Naoki Imai.

Research Interests

My research focuses on arithmetic geometry and number theory. I am particularly interested in the properties of L-functions and the geometry of Shimura varieties.

Publications & Preprints

"Asymptotics of local height pairing"

[arXiv]
"Strange congruences on point counts"
Experimental Mathematics(2026).

[DOI]
For a full list of publications, just see my orcid.

Teaching

At Princeton

Spring 2026 MAT202: Linear Algebra with Applications (Preceptor)

Fall 2025 MAT449: Topics in Algebra - Representation Theory (Grader. Lectured three times.)

Spring 2025 MAT217: Honors Linear Algebra (Grader)

Fall 2024 MAT345: Algebra I (Grader)

At Tokyo

Spring 2024 Algebra I (Teaching Assistant)

Contact

Office: Room A09, Fine Hall
Email: yn0920 [at] princeton [dot] edu