Nathan Chen Curriculum Vitae

Contact

Address

Department of Mathematics
Harvard University
Cambridge, MA 02138

Email

nathanchen@math.harvard.edu

Employment

Harvard University

2021 – present
NSF postdoctoral research fellow and lecturer
Sponsoring scientist: Mihnea Popa

Columbia University

2022 – 2024
NSF postdoctoral research fellow and J. F. Ritt assistant professor

Education

Stony Brook University

2016 – 2021
Ph.D. in Mathematics
Advisor: Robert Lazarsfeld

University of California San Diego

2013 – 2016
B.S. in Mathematics with Honors
Summa Cum Laude
University of California San Diego

Awards & Honors

  • Junior Faculty Recognition Award for Excellence in Teaching (2023 – 2024)
    Columbia University
  • NSF Mathematical Sciences Postdoctoral Research Fellowship (2021 – 2025)

Invited Talks & Presentations

  • Algebraic Geometry Northeastern Series (AGNES)
    Upcoming at Dartmouth College, November 2024
  • Thematic Program on Rationality and Hyperbolicity
    University of Notre Dame, June 2023
  • Higher Dimensional Geometry
    Simons Foundation Conference, May 2023
  • Birational Complexity of Algebraic Varieties
    Stony Brook University, December 2022
  • AMS-EMS-SMF Joint Congress of Mathematics
    Special session on algebraic geometry, Université Grenoble Alpes, July 2022

Service & Leadership

  • Co-organizer (with Bianca Viray) for an AIM workshop, March 2024
  • Co-organizer for the Columbia algebraic geometry seminar, 2023 – 2024
  • Co-organizer for the Harvard-MIT algebraic geometry seminar, 2021 – 2022
  • Graduate student representative, Stony Brook math department, 2019 – 2021
  • Co-organizer for graduate student seminars, 2018 – 2020

Publications & Preprints

  • (with O. Martin) A primer on measures of irrationality, preprint, arXiv:2509.03783 (2025).

  • (with L. Esser) Group actions and irrationality in surface families, to appear in Selecta Math. (N.S.), arXiv:2410.18427.

  • (with B. Church, F. Hao) Nowhere vanishing holomorphic one-forms and fibrations over abelian varieties, Adv. Math. 2025, arXiv:2306.15064.

  • (with L. Ji, D. Stapleton) Fano hypersurfaces with no finite order birational automorphisms, to appear in Amer. J. Math., arXiv:2208.07396.

  • (with B. Church, L. Ji, D. Stapleton) The fibering genus of Fano hypersurfaces, to appear in Alg. Geom. Phys., arXiv:2308.12401.

  • (with B. Church, J. Zhao) Curves on complete intersections and measures of irrationality (with an appendix by Mohan Swaminathan), preprint, arXiv:2406.12101 (2024).

  • Multiplicative bounds for measures of irrationality on complete intersections, Alg. Geom. 5 (2024), 737 – 756, arXiv:2111.05549.

  • (with D. Stapleton) Rational endomorphisms of Fano hypersurfaces, Selecta Math. (N.S.) 30 (2024), 16pp, arXiv:2103.12207.

  • (with O. Martin) Rational maps from products of curves to surfaces with pg = q = 0, Math. Z. 304 (2023), no. 4, 14pp, arXiv:2111.08194.

  • (with F. Greer, R. Yang) Nodal elliptic curves on K3 surfaces, Math. Ann. 386 (2023), 2349 – 2370, arXiv:2001.05104.

  • (with D. Stapleton) Higher index Fano varieties with finitely many birational automorphisms, Compos. Math. 158 (2022), 2033 – 2045, arXiv:2110.09568.

  • (with D. Stapleton) Fano hypersurfaces with arbitrarily large degrees of irrationality, Forum Math. Sigma 8 (2020), e.24, 12pp, arXiv:1908.02803.

  • Degree of irrationality of very general abelian surfaces, Algebra Number Theory 13 (2019), 2191 – 2198, arXiv:1902.05645.