Tangli Ge 葛汤立

Email: tangli (at) princeton (dot) edu

Office: Fine 608

I am an instructor at Princeton University since 2023. Prior to this, I received my Bachelor's degree from Peking University and my Ph.D. in Mathematics from Brown University, under the supervision of Dan Abramovich. I was a postdoctoral reserach associate at Princeton in Fall 2022 and a postdoc member of the Diophantine Geometry program at SLMath in Spring 2023. I am on the job market for positions starting in Fall 2026.

Here is my CV.

Research

My research interests are in arithmetic geometry, with a particular focus on rational points, height theory, abelian varieties, and Hodge theory. Recently, I have been thinking about problems related to unlikely intersections, especially those involving generalizations of classical finiteness results for abelian varieties, such as the Manin–Mumford, Mordell–Lang, and Bogomolov conjectures.

Here is a list of my papers in the reverse chronological order:

• Intersecting subvarieties of abelian schemes with group subschemes I, submitted.
  We prove that the intersection of a geometrically nondegenerate subvariety of an abelian scheme with the union of flat group subschemes up to complementary dimension is sparse. Specifically, the intersections are contained in the union of a strict Zariski closed subset (the degeneracy locus) of the subvariety and a set of bounded height.


• Uniform Mordell--Lang plus Bogomolov, International Mathematics Research Notices, 2024, no. 9, 7360–7378.
  We extend the uniform Mordell--Lang to allow an \(\epsilon\)-height neighborhood and prove the uniform version of the Mordell--Lang plus Bogomolov theorem of Poonen and S. Zhang.


• The Uniform Mordell--Lang Conjecture, with Ziyang Gao and Lars Kühne, submitted.
  The Mordell--Lang conjecture (Faltings' theorem) states that the rational points on a subvariety of an abelian variety come from finitely many cosets in the subvariety. We prove that the number of cosets has a uniform bound depending only on the degree of the subvariety, the dimension of the abelian variety, and the Mordell--Weil rank.


• Uniformity of quadratic points, International Journal of Number Theory, 2024, vol. 20, no. 4, 1041-1071.
  We show that the number of quadratic points on a non-hyperelliptic non-bielliptic curve is uniformly bounded in terms of the degree of the defining number field, the genus of the curve, and the Mordell--Weil rank.

• Intersecting subvarieties of abelian schemes with group subschemes II.
  We continue our study by considering intersections with general group subschemes that are not necessarily flat.
• Northcott property in the unlikely intersections loci on abelian schemes, with Fabrizio Barroero, Laura Capuano, and Francesco Tropeano.
  We aim to generalize the Habegger--Pila technique to prove a Northcott property in the unlikely intersections loci of subvarieties of abelian schemes.

Teaching

Currently: MAT 202 Linear Algebra with Applications

Previously at Princeton

• Spring 2025: MAT 202 Linear Algbera with Applications
• Fall 2024: MAT 202 Linear Algebra with Applications
• Spring 2024: MAT 104 Calculus II
• Fall 2023: MAT 104 Calculus II
• Fall 2022: MAT 104 Calculus II

Previously at Brown

• Summer 2021: MATH 0100 Single Variable Calculus, Part II
• Fall 2019: MATH 0200 Multivariable Calculus (Physics/Enginieering)
• Fall 2018: MATH 0100 Single Variable Calculus, Part II
• Spring 2018: MATH 0100 Single Variable Calculus, Part II
• Fall 2017: MATH 0200 Multivariable Calculus (Physics/Engineering)

Service

Last updated: Oct 25, 2025