Jerson Caro

Jerson Caro is a Research Fellow at Boston University working with the Simons Collaboration on Arithmetic Geometry, Number Theory, and Computation, focusing on Number Theory with specialized expertise in arithmetic geometry and algebraic number theory.

His educational background:

• Ph.D. in Mathematics, Pontificia Universidad Católica de Chile (2023), supervised by Hector Pasten.

Caro's research centers on three interconnected domains: establishing finiteness conditions for rational points on algebraic varieties, investigating the rank behavior of elliptic curves over number fields, and exploring structural properties of algebraic number fields. These investigations bridge abstract algebraic geometry with concrete computational number theory, addressing foundational questions about Diophantine equations and arithmetic invariants.

As a core contributor to the Simons Collaboration, he participates in interdisciplinary efforts developing algorithmic frameworks for arithmetic geometry, leveraging computational tools to advance theoretical understanding and solve open problems in the field.