Timo Keller

Prof. Dr. Timo Keller is an Associate Professor at Universität Würzburg, focusing on computational and theoretical aspects of arithmetic geometry. His research spans modular curves, abelian varieties, L-functions, and the Birch–Swinnerton-Dyer conjecture.

• Current affiliation: Universität Würzburg
• Former positions: Marie Skłodowska-Curie Postdoctoral Fellow (Groningen), Leibniz Universität Hannover, Universität Bayreuth

His work combines explicit computation with deep theoretical questions, particularly in:

• Arithmetic and computational properties of curves over global fields
• Modular forms and their Galois representations
• Rational points on modular and hyperelliptic curves
• Applications of the Chabauty–Kim method
• Tamagawa numbers and component groups

Recent publications in arXiv and Magma code repositories address verification of the strong BSD conjecture for genus 2 curves, rational points on quotients of X0(N), and inverse Galois problems for 17T7. He has received a Marie Skłodowska-Curie Fellowship and contributes to the LMFDB project via open-source code.

GitHub: TimoKellerMath (repositories include strongBSDgenus2, QuadraticPoints, ModularCurvesX0plusG4-6)