Timo Keller

Dr. Timo Keller is a Visiting Professor of Mathematics at the Institute of Mathematics, University of Würzburg, holding a temporary professorship from October 2024 to March 2027. His academic position is specifically in the Chair of Mathematics I (Algebra), with his office located in Building 30 (Mathematik West), Room 03.010 at Emil-Fischer-Straße 30, 97074 Würzburg.

Dr. Keller's research focuses on Arithmetic Geometry, particularly the arithmetic and computational aspects of curves and abelian varieties over arithmetic fields. His work encompasses rational points (especially of modular curves), modular forms, Galois representations, L-functions, and cohomology of abelian varieties. A significant portion of his research addresses the Birch–Swinnerton-Dyer conjecture, which establishes profound connections between algebraic and analytic, local and global invariants of elliptic curves over Q and more generally abelian varieties over global fields. He also investigates rational points on modular curves, which serve as moduli spaces for elliptic curves with additional data like level structure.

His recent scholarly output demonstrates a strong emphasis on computational methods in number theory, particularly the Chabauty–Kim method for finding rational points, verification of the Birch-Swinnerton-Dyer conjecture for abelian varieties, and exploration of modular curves. His work bridges theoretical developments with computational implementations, as evidenced by his GitHub repository for published article code.

• Marie Skłodowska-Curie postdoctoral fellowship

Dr. Keller previously held positions at Leibniz Universität Hannover and Universität Bayreuth before his postdoctoral fellowship in Groningen. His academic trajectory reflects a deep engagement with arithmetic geometry, with a consistent focus on computational approaches to classical problems in number theory.