Tangli Ge 葛汤立

Email: get2 (at) vcu (dot) edu

Office: Harris 4144

I am a postdoc at the Department of Mathematics and Statistics at Virginia Commonwealth University. 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, a postdoc member of the Diophantine Geometry program at SLMath in Spring 2023, and an instructor back at Princeion till 2026. I am on the job market for positions starting in Fall 2027.

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:

• Specialization of finitely generated subgroups in constant semiabelian schemes.
  We show that for a finitely generated absolutely constant-free section group of a constant semiabelian scheme over a curve, the parameters at which a section specializes into a chosen family of subvarieties without being generically contained in it have bounded height.


• Degeneracy loci and unlikely intersections in abelian schemes, with Fabrizio Barroero, Laura Capuano, and Francesco Tropeano.
  We show that the flat unlikely intersection locus in any abelian scheme away from the degeneracy locus is finite.


• Intersecting subvarieties of abelian schemes with group subschemes I, Compositio Mathematica, 2026, 162(1), p. 231–275.
  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, Publications Mathématiques de l'IHÉS, 2026, vol. 143, p. 189-235.
  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.

Teaching

Currently at VCU: MATH 151 Precalculus

Previously at Princeton

• Spring 2026: MAT 202 Linear Algbera with Applications
• Fall 2025: MAT 202 Linear Algbera with Applications
• 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: Sep 30, 2026