Philipp Habegger

Prof. Dr. Philipp Habegger is a faculty member at the University of Basel's Department of Mathematics and Computer Science. His research focuses on Number Theory, specifically Diophantine Geometry, heights on abelian varieties, unlikely intersections, and algebraic number theory. He leads the Research Group in Number Theory and participates in collaborative seminars like the Number Theory Web Seminar with Mike Bennett and Alina Ostafe.

• Contact: philipp.habegger@unibas.ch | +41 61 207 26 98
• Office: Spiegelgasse 1, 4051 Basel, Switzerland
• Academic Role: Research and teaching in number theory and Diophantine problems

Research Overview

Habegger's work addresses fundamental questions about the distribution of special points on algebraic varieties and the arithmetic properties of polynomial dynamics. His recent publications analyze degeneracy loci in abelian families, canonical heights, and the geometric Bogomolov conjecture. The 15 most recent articles reflect a focus on number theory, algebraic geometry, and effective bounds in Diophantine problems.

Scientific Collaborations

• Collaborated with Ziyang Gao, Harry Schmidt, Umberto Zannier, and others
• Contributed to journals: Annals of Mathematics, Forum of Mathematics, Sigma, Compositio Mathematica
• Key themes: Abelian varieties, Heights, Unlikely intersections, CM jacobians