Ulrike Tillmann

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Ulrike Tillmann (2018)

Ulrike Luise Tillmann (born December 12, 1962 in Rhede (North Rhine-Westphalia) ) is a German-British mathematician who deals with algebraic topology.

Life

Tillmann graduated from Vreden in 1982 and studied at Brandeis University (Bachelor in 1985) and at Stanford University , where she obtained her master’s degree in 1987 and her doctorate under Ralph Cohen in 1990 (K-theory of topological group algebras). From 1990 she was at Cambridge University (as SERC Research Assistant and Junior Research Fellow of Clare Hall College) and from 1992 lecturer and tutor at Oxford University ( Merton College , of which she is). In 1996 she completed her habilitation at the University of Bonn . She has been a (titular) professor at Oxford since 2000.

It deals with the topology of module spaces , classification spaces of geometric structures, with applications, for example, in topological quantum field theory . Their work traced the computation of the cohomology of such module spaces, especially the rational cohomology of the stable module spaces of Riemann surfaces (which classify algebraic curves ), back to a homotopy-theoretical problem ( stable homotopy theory ). In 2004 Ib Madsen and Michael Weiss proved the Mumford conjecture about the stable homology of the mapping class groups . The proof was simplified and generalized by Tillmann together with Madsen, Weiss and Søren Galatius .

In 2004 she received the Whitehead Prize . In 2002 she was invited speaker at the International Congress of Mathematicians (ICM) in Beijing ( Strings and the stable cohomology of mapping class groups ). In 2008 she received the Friedrich Wilhelm Bessel Research Award from the Alexander von Humboldt Foundation . She is a fellow of the British EPSRC. In 2006/2007 she held the De La Vallée-Poussin Chair at the Université catholique de Louvain . From 2002 to 2006 she was editor of Topology , since then of the Journal of Topology . In 2008 she became a Fellow of the Royal Society and she is a Fellow of the American Mathematical Society . In 2017 she was elected a member of the Leopoldina . In June 2020 she was elected President of the London Mathematical Society . She will take over from Jonathan Keating in November 2021.

She has been married since 1995 and has three daughters.

Fonts (selection)

  • On the homotopy of the stable mapping class group. Invent. Math. 130 (1997), no. 2, 257-275.
  • with Madsen: The stable mapping class group and . Invent. Math. 145 (2001), no. 3, 509-544.
  • with Galatius, Madsen, Weiss: The homotopy type of the cobordism category. Acta Math. 202 (2009), no. 2, 195-239.

Web links

Commons : Ulrike Tillmann  - Collection of images, videos and audio files

Individual evidence

  1. ↑ which corresponds to the knowledge of the cohomology of the stable mapping class group
  2. ↑ Galatius, Madsen, Tillmann, Weiss The homotopy type of the cobordism category , 2006, arxiv : math / 0605249 Preprint
  3. ↑ Member entry by Prof. Dr. Ulrike Tillmann at the German Academy of Sciences Leopoldina , accessed on May 16, 2017.
  4. ↑ LMS President Designate Announced | London Mathematical Society. Retrieved August 20, 2020 .
personal data
SURNAME Tillmann, Ulrike
ALTERNATIVE NAMES Tillmann, Ulrike Luise (full name)
BRIEF DESCRIPTION German mathematician
DATE OF BIRTH December 12, 1962
PLACE OF BIRTH Roadstead