Geometry and its Interfaces

Tamas Hausel's research interests include combinatorial, differential and algebraic geometry and topology. The main tool used is representation theory, connecting our investigations  to number theory and physics. 

The more specific focus is the study of the geometry, topology and arithmetic of several moduli spaces appearing in supersymmetric quantum field theories including moduli spaces of Yang-Mills instantons in four-dimensions, the moduli space of magnetic monopoles in three dimensions and the moduli space of Higgs bundles in two dimensions. The questions we are concerned with have motivations in mathematical physics, such as string theory and topological quantum field theory as well as in number theory, in particular in the realm of the Langlands program. 

The immediate question is to describe the topology of such spaces, starting with the structure of holes of various dimensions. Besides the traditional techniques of global analysis and Morse theory, we also employ arithmetic methods, which in turn will invariably lead to problems in representation theory of various objects in algebra. Examples include the representation theory of quivers, finite groups and algebras of Lie type and various Hecke algebras. 

What results is a colorful palette of subjects in mathematics and theoretical physics and our focus is on the interconnectedness of these fields inside mathematics.

Contact
Tamas Hausel
E-mail: tamas.hausel@remove-this.ist.ac.at

»CV and Publication List

»Hausel group website

»Mathematics at IST Austria website

Assistant
Jessica de Antoni

Phone: +43 (0)2243 9000-1178
E-mail: jessica.deantoni@remove-this.ist.ac.at

Team

  • Iordan Ganev, Postdoc
  • Zhao Gufang, Postdoc
  • Quoc P. Ho, Postdoc
  • Penghui Li, Postdoc
  • Martin Mereb, Postdoc
  • Mikhail Shkolnikov, Postdoc

Selected Publications

Career

As of 2016 Professor, IST Austria
2012-2016 Professor, Chair of Geometry, EPF Lausanne
2005-2012 Royal Society University Research Fellow, University of Oxford
2007-2012 Tutorial Fellow in Pure Mathematics, Wadham College
2007-2012 University Lecturer in Pure Mathematics, University of Oxford
2002-2010 Assistant and Associate Professor, University of Texas at Austin
1999-2002 Miller Research Fellow, University of California, Berkeley
1998-1999 School of Mathematics, Institute for Advanced Study, Princeton
1998 PhD Trinity College, University of Cambridge

Selected Distinctions

2013 ERC advanced grant
2008 Whitehead prize
2005 Sloan Research Fellow

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