Matthias Aschenbrenner (* 1972 in Bad Kötzting) is a German-American mathematician working on mathematical logic and algebra.
Aschenbrenner studied computer science and mathematics at the University of Passau from 1993 (Vordiplom 1996), at Brandeis University from 1996, and at the University of Illinois at Urbana-Champaign from 1997, graduating with a Master’s degree in 1999 and a Ph.D. under Lou van den Dries in 2001. For the dissertation Ideal membership in polynomial rings over the integers he received the Gerald E. Sacks Prize of the Association for Symbolic Logic. As a post-doctoral fellow, he was Morrey Visiting Professor at the University of California, Berkeley, and at MSRI in 2003. In 2003 he became Assistant Professor and in 2006 Associate Professor at the University of Illinois at Chicago, and in 2007 Associate Professor and in 2011 Professor at the University of California, Los Angeles.
He is concerned with differential algebra (trans-series), algorithmic algebra and model theory, and 3-manifold groups.
He was an invited speaker at the 2018 International Congress of Mathematicians in Rio de Janeiro (with Lou van den Dries, Joris van der Hoeven: On numbers, germs, and transseries). In 2012, he became a fellow of the American Mathematical Society. In 2018, he received the Karp Prize.
He holds German and US citizenship. He is married to economics professor Kirsten Wandschneider and has three daughters. He turned down two calls to Germany (Münster and Freiburg) because no job was offered for his wife. In the end, a return to Germany failed for the couple due to the (legally non-existent) women’s quota – his wife would have been offered a professorship in Berlin, he would not have been offered a professorship due to said women’s quota, for which he applied at the same time at the Humboldt University, without being informed about the background, even if he was better qualified; the university cancelled the application procedure altogether in order to be able to avoid his appointment.
- Ideal membership in polynomial rings over the integers, J. Amer. Math. Soc., vol. 17, 2004, pp. 407-441. arxiv
- with Christoph Hillar: Finite generation of symmetric ideals, Trans. AMS, vol. 359, 2007, pp. 5171-5192. Arxiv 2004
- with H. Schoutens: Lefschetz extensions, tight closure, and big Cohen-Macaulay algebras, Israel J. Math. vol. 161, 2007, pp. 221-310.
- with Raymond Hemmecke: Finiteness theorems in stochastic integer programming, Found. Comput. Math. vol. 7, 2007, pp. 183-227. Arxiv 2005
- with Christoph Hillar: An Algorithm for Finding Symmetric Gröbner Bases in Infinite Dimensional Rings, Arxiv 2008
- with Stefan Friedl: Residual properties of graph manifold groups, Topology Appl, vol. 158, 2011, pp. 1179-1191.
- with L. van den Dries, J. van der Hoeven: Towards a model theory for transseries, Notre Dame J. Form. Log. vol. 54, 2013, pp. 279-310. arxiv
- with S. Friedl: 3-manifold groups are virtually residually p, Memoirs of the AMS 225, 2013, Arxiv 2010
- with S. Friedl, Henry Wilton: Decision problems for 3-manifolds and their fundamental groups, Arxiv 2014
- with van den Dries, van der Hoeven: The surreal numbers as a universal H-field, J. EMS, Arxiv 2015
- with S. Friedl, Henry Wilton: 3-Manifold Groups, EMS Series of Lectures in Mathematics, vol. 20, European Mathematical Society (EMS), Zurich, 2015. arxiv
- with Lou van den Dries, Joris van der Hoeven: Asymptotic Differential Algebra and Model Theory of Transseries, Annals of Mathematical Studies 195, Princeton UP 2017, Arxiv
- Matthias Aschenbrenner in the Mathematics Genealogy Project (english)
- Elisabeth Niejahr, Why us of all people ?, Die Zeit, 23 October 2014
- Hermann Horstkotte, Christoph Titz, Applicant bluff of the HU Berlin: Mathematicians wanted, but only female ones, Spiegel Online, 12 June 2014
|SHORT DESCRIPTION||uS-German mathematician|
|DATE OF BIRTH||1972|
|PLACE OF BIRTH||Bad Kötzting|