Manfred Einsiedler

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Manfred Leopold Einsiedler (born March 6, 1973 ) is an Austrian mathematician .

Manfred Einsiedler, Oberwolfach 2010

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Einsiedler studied mathematics at the University of Vienna , where he received his diploma in 1996 and his doctorate in 1999 under Klaus Schmidt ( Problems in higher dimensional dynamics ). As a post-doc he was at the University of East Anglia in Norwich and from 2001 at Penn State University . In 2001 he completed his habilitation in Vienna and was then an associate professor (on leave) at the University of Vienna. In 2004/5 he was visiting professor at Princeton University (as Clay Research Scholar). From 2006 he was Associate Professor and from 2008 Professor at Ohio State University . He has been a professor at ETH Zurich since 2009 .

In 2004 he won the Austrian Mathematical Society's advancement award . In 2008 he was invited speaker at the European Congress of Mathematicians in Amsterdam ( Effective equidistribution and spectral gap ). In 2010 he was invited speaker at the International Congress of Mathematicians in Hyderabad ( Application of measure rigidity of diagonal actions ).

Einsiedler deals with ergodic theory (questions of equal distribution, for example of orbits of group effects in homogeneous spaces ) including applications in number theory. He partly worked with Grigory Alexandrowitsch Margulis and Akshay Venkatesh . With Elon Lindenstrauss and Anatole Katok , he proved that a conjecture by John Edensor Littlewood about simultaneous Diophantine approximation is almost always valid. Almost always in this context means that the set of numbers for which the conjecture does not hold has Hausdorff dimension 0.

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Individual evidence

  1. Einsiedler, Katok, Lindenstrauss: Invariant measures and the set of exceptions to Littlewood's conjecture. In: Annals of Mathematics. Volume 164, 2006, pages 513-560. See also: Akshay Venkatesh: The work of Einsiedler, Katok and Lindenstrauss on the Littlewood Conjecture. Bulletin AMS, Volume 45, 2008, pp. 117-134 .