Hannah Markwig

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Hannah Markwig (born November 19, 1980 in Riedstadt ) is a German mathematician who deals with algebraic geometry .

Markwig (left) in Oberwolfach 2012

Life

During her school days she took part in the Jugend forscht competition four times and in 1997 came second in the national finals. After graduating from high school in Mannheim , she studied mathematics at the Technical University of Kaiserslautern from 1999 (with a semester abroad in Berkeley) with a diploma in 2003 and a doctorate (summa cum laude) with Andreas Gathmann in 2006. The dissertation received the prize from the University's Circle of Friends. The second reviewer of the dissertation entitled The Enumeration of Plane Tropical Curves was Bernd Sturmfels . As a post-doctoral student she was at the Institute for Mathematics and its Applications in Minneapolis and in 2007/08 at the University of Michigan (assistant professor). In 2008 she became a junior professor at the University of Göttingen . Since 2011 she has been a professor at Saarland University , and since March 2016 she has held the chair for geometry at the University of Tübingen .

She deals with tropical geometry , a branch of algebraic geometry closely related to combinatorics, and also developed a software package for it. In particular, she deals with the application of tropical geometry to enumerative algebraic geometry and, together with Andreas Gathmann, developed a proof of the Kontsevich formula (number of planar rational curves of degree d through 3d − 1 points in a general position in the complex projective plane, by Maxim Konzewitsch proved with Gromow-Witten theory ) and a tropical version of the Caporaso-Harris algorithm for counting flat algebraic curves of gender g and degree d by 3d + g − 1 points in a general position in the complex projective plane (also originally with Gromow- Witten theory proven by Joe Harris , Lucia Caporaso). She also dealt with other analogues of classical algebraic geometry in the tropical borderline case (such as mirror symmetry, surface singularities, Hurwitz numbers, modular spaces of curves).

In 2010 she received the Heinz Maier Leibnitz Prize and the Helene Lange Prize .

Hannah Markwig has been married since 2004 to Thomas Markwig , who is the academic director in Tübingen and with whom she published together , and has two children.

Fonts

  • With Andreas Gathmann: Kontsevich's formula and the WDVV equations in tropical geometry. In: Advances in Mathematics. Volume 217, 2008, pp. 537-560, Arxiv.
  • With Andreas Gathmann: The Caporaso-Harris formula and plane relative Gromov-Witten invariants in tropical geometry. In: Mathematical Annals. Volume 338, 2007, pp. 845-868, Arxiv.
  • Tropical geometry. In: Messages from the DMV. Volume 18, 2010, pp. 80-83 ( online, PDF; 194 kB).
  • With Johannes Rau: Tropical Real Hurwitz Numbers. In: Mathematical Journal. Volume 281, 2015, pp. 501-522, Arxiv.
  • Tropical geometry. In: Katrin Wendland , Annette Werner (Hrsg.): Multifaceted mathematics. Vieweg + Teubner, 2011.

Web links

Individual evidence

  1. ↑ Frankfurter Rundschau, February 5, 2010, p. 13.
  2. ^ Mathematical Genealogy Project , accessed April 21, 2016.
  3. ↑ New professors at the University of Tübingen , April 20, 2016.
  4. ↑ Laudatory speech.
  5. ↑ See here !
  6. ↑ Klaus Konstroffer: Angular curves.  ( Page no longer available , search in web archives )  Info: The link was automatically marked as defective. Please check the link according to the instructions and then remove this notice. In: Forum. 21st September 2013.@1@ 2Template: Dead Link / forum.infos.de  
personal data
SURNAME Markwig, Hannah
BRIEF DESCRIPTION German mathematician
DATE OF BIRTH November 19, 1980
PLACE OF BIRTH Riedstadt