Felix Finster

Felix Finster (2009)

Felix Finster (born August 6, 1967 in Mannheim ) is a German mathematician who deals with problems in mathematical physics, geometry and analysis .

life and work

Finster studied physics and mathematics at the University of Heidelberg , where he graduated in 1992 with Franz Wegner and Claus Gerhardt . From 1992 to 1995 he did his doctorate at the ETH Zurich under Konrad Osterwalder . From 1996 to 1998 he was a post-doc at Harvard University . From 1998 to 2002 he worked at the Max Planck Institute for Mathematics in the Natural Sciences in Leipzig. He completed his habilitation in 2000 at the University of Leipzig . Since 2002 he has been Professor of Mathematics at the University of Regensburg .

Finster mainly works on mathematical problems in general relativity and quantum theory . In collaboration with Niky Kamran , Joel Smoller and Shing-Tung Yau , he investigates the wave propagation in the vicinity of a black hole in more detail . He also developed the fermionic projector's approach to quantum field theory. In this context Finster formulated the causal principle of action . In recent years, access has been expanded to include so-called causal fermion systems , which provide a mathematical framework for describing quantum geometries .

Fonts

• The Principle of the Fermionic Projector , AMS / IP Studies in Advanced Mathematics Series 35 , American Mathematical Society , Providence, RI; International Press, Cambridge, MA, 2006, ISBN 978-0-8218-3974-4
• Finster, Niky Kamran , Joel Smoller , Shing-Tung Yau : Linear waves in the Kerr geometry: A mathematical voyage to black hole physics , Bulletin of the American Mathematical Society, Volume 46, 2009, pp. 635–659, doi : 10.1090 / S0273-0979-09-01258-0 . arxiv : 0801.1423
• Causal variational principles on measure spaces , Journal for pure and applied mathematics 646 , De Gruyter 2010, 141–194, doi : 10.1515 / CRELLE.2010.069 . arxiv : 0811.2666
• A formulation of quantum field theory realizing a sea of ​​interacting Dirac particles , Letters in Mathematical Physics 97 , Springer , 2011, 165-183, doi : 10.1007 / s11005-011-0473-1 . arxiv : 0911.2102
• Finster, Olaf Müller, Marc Nardmann, Jürgen Tolksdorf, Zeidler (editors): Quantum Field Theory and Gravity. Conceptual and Mathematical Advances in the Search for a Unified Framework , Springer , 2012, ISBN 978-3-03480-043-3
  • Therein: Felix Finster, Andreas Grotz, Daniela Schiefeneder: Causal fermion systems: A quantum space-time emerging from an action principle , doi : 10.1007 / 978-3-0348-0043-3_9 . arxiv : 1102.2585

Individual evidence

1. ↑ Felix Finster in the Mathematics Genealogy project (English)
2. ↑ Brief curriculum vitae on the website of the University of Regensburg
3. ^ A brief outline of the research areas on the website of the University of Regensburg

Web links

• Website at the University of Regensburg
• Felix Finster's work on the arXiv