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.

Philipp Habegger
Born	(1978-07-23) July 23, 1978 (age 47)
Nationality	Swiss
Alma mater	University of Basel
Scientific career
Fields	Mathematics
Institutions	University of Basel University of Zurich ETH Zurich
Thesis	Heights and Multiplicative Relations on Algebraic Varieties  (2007)
Doctoral advisor	David Masser

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. JSTOR 10.4007/annals.2019.189.2.3. S2CID 56339965.
• 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. S2CID 122167169.
• 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. S2CID 119435006.
• 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. S2CID 119138713.
• Habegger, P.; Pila, J. (2012). "Some unlikely intersections beyond André–Oort". Compositio Mathematica. 148 (1): 1–27. doi:10.1112/S0010437X11005604. ISSN 0010-437X.