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 | July 23, 1978 |
| 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
editHabegger 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
editFrom 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
editHabegger's research focuses on height functions and their applications to unlikely intersections.[3]
Selected publications
edit- 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.
References
edit- ^ a b c d "Curriculum Vitae" (PDF). Philipp Habegger. November 2010. Retrieved 5 March 2021.
- ^ Philipp Habegger at the Mathematics Genealogy Project
- ^ a b "Philipp Habegger". Institute for Advanced Study. 9 December 2019. Retrieved 5 March 2021.
- ^ "Philipp Habegger". University of Basel (in German). Retrieved 5 March 2021.