Matthias Aschenbrenner

Matthias Aschenbrenner, Berkeley 2001

Matthias Aschenbrenner (* 1972 in Bad Kötzting ) is a German-American mathematician who deals with mathematical logic and algebra.

Aschenbrenner studied computer science and mathematics from 1993 at the University of Passau (intermediate diploma 1996), from 1996 at Brandeis University and from 1997 at the University of Illinois at Urbana-Champaign with a master’s degree in 1999 and a doctorate with 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-graduate student , he was Morrey Visiting Professor at the University of California, Berkeley , and at MSRI in 2003 . In 2003 he became Assistant Professor and 2006 Associate Professor at the University of Illinois at Chicago and Associate Professor in 2007 and Professor at the University of California, Los Angeles in 2011 .

He deals with differential algebra (trans series), algorithmic algebra and model theory and with 3-manifold groups .

He was invited speaker at the International Mathematicians Congress 2018 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 has German and US citizenship. He is married to the economics professor Kirsten Wandschneider and has three daughters. He turned down two calls to Germany (Münster and Freiburg) because there was no job for his wife. Ultimately, the couple failed to return to Germany because of the (legally non-existent) women's quota - his wife would have got a professorship in Berlin, he would have gotten a professorial position due to the said women's quota, for which he applied at the same time at the Humboldt University, without the To be informed about the background, not even with better qualifications; the university abandoned the application process entirely in order to avoid his appointment.

Fonts (selection)

• 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, Volume 359, 2007, pp. 5171-5192. Arxiv 2004
• with H. Schoutens: Lefschetz extensions, tight closure, and big Cohen-Macaulay algebras, Israel J. Math., Volume 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., Volume 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., Volume 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

Web links

• Homepage UCLA

Individual evidence

1. ↑ Matthias Aschenbrenner in the Mathematics Genealogy Project (English)
2. ↑ Arxiv
3. ^ Elisabeth Niejahr, Why us of all people?, Die Zeit, October 23, 2014
4. ↑ Hermann Horstkotte, Christoph Titz, Applicant Bluff at HU Berlin: Mathematicians wanted, but only women , Spiegel Online, June 12, 2014