Philipp Habegger

Philipp Habegger (born 23 July 1978) is a Swiss^[1] mathematician and a professor of mathematics at the University of Basel who works in Diophantine geometry.

Early life and education[]

Habegger was born on 23 July 1978.^[1] He received his Ph.D. under the supervision of David Masser at the University of Basel in 2007.^[2]

Career[]

From 2008 to 2010, Habegger was a ETH Fellow at ETH Zurich.^[1] He moved to the University of Zurich for a lectureship position in 2010.^[1] In 2013, he was a von Neumann Fellow at the Institute for Advanced Study.^[3] As of 2021, Habegger is a professor of mathematics at the University of Basel.^[4]

Research[]

Habegger's research focuses on height functions and their applications to unlikely intersections.^[3]

Selected publications[]

• Gao, Ziyang; Habegger, Philipp (2019). "Heights in families of abelian varieties and the Geometric Bogomolov Conjecture". Annals of Mathematics. 189 (2): 527. arXiv:1801.05762. doi:10.4007/annals.2019.189.2.3.
• Habegger, Philipp (2009). "Intersecting subvarieties of abelian varieties with algebraic subgroups of complementary dimension". Inventiones mathematicae. 176 (2): 405–447. doi:10.1007/s00222-008-0170-6. hdl:20.500.11850/156804. ISSN 0020-9910.
• Habegger, Philipp (2013). "Small height and infinite nonabelian extensions". Duke Mathematical Journal. 162 (11): 2027–2076. arXiv:1109.5859. doi:10.1215/00127094-2331342. ISSN 0012-7094.
• Habegger, Philipp (2013). "Special points on fibered powers of elliptic surfaces". Journal für die reine und angewandte Mathematik. 2013 (685). arXiv:1110.1908. doi:10.1515/crelle-2012-0007. ISSN 0075-4102.
• Habegger, P.; Pila, J. (2012). "Some unlikely intersections beyond André–Oort". Compositio Mathematica. 148 (1): 1–27. doi:10.1112/S0010437X11005604. ISSN 0010-437X.

References[]

External links[]

• Personal website