Moritz Kerz

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Moritz Kerz (born May 1, 1983 in Frankfurt am Main ) is a German mathematician who deals with arithmetic geometry and algebraic K-theory .

Life

After graduating from the Lessing-Gymnasium in Frankfurt am Main, Kerz studied mathematics and theoretical physics at the Goethe University Frankfurt am Main from 2002 and from 2004 at the University of Mainz with a diploma in mathematics in 2005 with Stefan Müller-Stach ( The barley complex of the Milnor K theory ). In 2005/06 he was visiting scholar at the University of Cambridge with Burt Totaro and in 2008 he received his doctorate with Uwe Jannsen (and Stefan Müller-Stach) at the University of Regensburg with a doctoral scholarship from the German National Academic Foundation ( Milnor K-Theory of local rings ). As a post-doctoral student he was in the research group Algebraic Cycles and L-Functions in Regensburg. From 2009 he was head of an Emmy Noether junior research group on arithmetic of finally generated bodies at the University of Duisburg-Essen (with Hélène Esnault ) and the University of Regensburg. Since 2011 he has been a professor of mathematics and professor in Regensburg. Due to his extraordinary achievements, a habilitation process was waived.

In his dissertation he proved a conjecture by Alexander Beilinson , which combines the Milnor K theory with motivic cohomology and the barley conjecture in the Milnor K theory . This was followed by work on higher-dimensional class field theory , based on a new formulation by Götz Wiesend , and the partial proof of conjectures by Kazuya Kato on the cohomological Hasse principles developed by Kato in 1985 .

He has published with Hélène Esnault , Alexander Schmidt , Shūji Saitō and Spencer Bloch , among others .

In 2009 he received the Bavarian Culture Prize for his dissertation. In 2011 he was awarded the Heinz Maier-Leibnitz Prize and in 2012 the Carus Prize of the Leopoldina . In 2020 the Minkowski Medal, newly created to mark its 130th anniversary, will be awarded to Moritz Kerz for special mathematical research achievements by the German Mathematicians Association (DMV).

Web links

Individual evidence

  1. ↑ CV at the DFG, 2011, PDF
  2. ^ Moritz Kerz: The barley conjecture in Milnor K-Theory . In: Inventiones Mathematicae . tape 175 , 2009, p. 1-33 .
  3. ↑ Represented for example in Moritz Kerz: Deligne's compatible L-adic representations . In: Communications DMV . 2012.
  4. ^ Moritz Kerz: Higher class field theory and the connected component . In: Manuscripta Mathematica . tape 135 , 2011, pp. 63-89 , arxiv : 0711.4485 .
  5. ↑ Moritz Kerz, Alexander Schmidt: Covering data and higher dimensional global class field theory . In: J. Number Theory . tape 129 , 2009, p. 2569-2599 , arxiv : 0804.3419 .
  6. ↑ Kerz, Saito: Cohomological Hasse principle and motivic cohomology for arithmetic schemes . In: Pub. Math. IHES . tape 115 , 2012, p. 123-183 , arxiv : 1010.5930 .
  7. ↑ Maier-Leibnitz Prize for Kerz 2011
  8. ↑ Carus Prize of the Leopoldina ( Memento of the original from March 4, 2016 in the Internet Archive ) Info: The archive link was inserted automatically and has not yet been checked. Please check the original and archive link according to the instructions and then remove this notice. @1@ 2Template: Webachiv / IABot / www.leopoldina.org
personal data
SURNAME Kerz, Moritz
BRIEF DESCRIPTION German mathematician
DATE OF BIRTH May 1, 1983
PLACE OF BIRTH Frankfurt am Main