Yuta Nakayama

Publications & Preprints

• "Asymptotics of local height pairing"
  
  [arXiv]
• "Strange congruences on point counts"
  with Nicholas M. Katz.
  Experimental Mathematics (2026).
  
  [DOI]
• "Arithmetic Gan–Gross–Prasad conjecture for RSZ unitary Shimura curves"
  International Journal of Number Theory (2024).
  
  [DOI]
• "Degrees of some orthogonal Deligne–Lusztig varieties"
  Research in Number Theory (2024).
  
  [DOI]
• "The canonicity of the integral models of RSZ Shimura varieties"
  
  [arXiv]
• More details on ORCID.

Talks

• "Asymptotics of local height pairing" (lightning talk)
  Workshop on Arakelov and Diophantine Geometry (an official ICM 2026 Satellite Conference), Brown University, August 2026.
  [slides]
• "Asymptotics of local height pairing"
  Dartmouth Algebra and Number Theory Seminar, Dartmouth College, April 2026.
• "Topics related to RSZ Shimura varieties"
  Algebraic Number Theory and Related Topics 2022, Kyoto University, December 2022.
• "The canonicity of the integral models of RSZ Shimura varieties"
  Berkeley Arithmetic Geometry and Number Theory Seminar, University of California, Berkeley, September 2022.
• "The canonicity of the integral models of RSZ Shimura varieties"
  21st Sendai–Hiroshima Workshop on Number Theory, Tohoku University, July 2022.
• "The canonicity of the integral models of RSZ Shimura varieties"
  Joint Number Theory Seminar, Kyoto University, May 2022.
• "The canonicity of the integral models of RSZ Shimura varieties"
  Algebraic Geometry and Arithmetic Geometry Seminar, Saitama University, April 2022.
• "The canonicality of the integral models of RSZ Shimura varieties"
  MathSci Freshman Seminar 2022, Kyushu University, February 2022.

Teaching

Contact

Office: Room 409, Fine Hall
Email: yn0920 [at] princeton [dot] edu