Bo'az clear day
Bo'az clear day ( Hebrew בועז קלרטג; * April 25, 1978 ) is an Israeli mathematician.
Klartag won a silver medal at the International Mathematical Olympiad in Bombay in 1996 . He studied (1997 Bachelor's , 2000 Master's degree summa cum laude ) and received his doctorate in 2004 from the University of Tel Aviv with Vitali Milman (Topics in Asymptotic Convex Geometry). Then he was a post-doc at the Institute for Advanced Study . Since 2009 he has been an Associate Professor at Tel Aviv University.
Klartag made important advances in asymptotic geometric analysis , an intersection of functional analysis and convex geometry. In his dissertation , he proved that a small number of symmetrization steps according to Jakob Steiner and Hermann Minkowski is sufficient to approximate a convex body in the n-dimensional space of a sphere . He proved a central limit theorem for convex bodies in probability theory . He solved some long open problems like an intersection problem posed by Jean Bourgain and, with Charles Fefferman, a problem of the optimal extrapolation of continuous functions.
In 2008 he received the EMS Prize (where he gave the prize lecture High dimensional distributions with convexity properties ) and the Salem Prize . In 2006 he was invited speaker at the International Congress of Mathematicians in Madrid ( Isomorphic and almost-isometric problems in high dimensional convex geometry ).
Fonts
- 5n Minkowski symmetrizations suffice to arrive at an approximate Euclidean ball, Annals of Mathematics, Volume 156, 2002, pp. 947-960. Arxiv
- with V. Milman: Isomorphic Steiner symmetrization, Invent. Math., Vol. 153, 2003, pp. 463-485.
- with Jean Bourgain , V. Milman: Symmetrization and isotropic constants of convex bodies, in: Geometric Aspects of Functional Analysis, Lecture Notes in Math. 1850, Springer, 2004. pp. 101–116.
- A central limit theorem for convex sets, Invent. Math., Vol. 168, 2007, pp. 91-131. Arxiv
- with C. Fefferman: Fitting a Smooth Function to Data I, Annals of Mathematics, Volume 169, 2009, pp. 315–346. Part II: Rev. Mat. Iberoamericana, Volume 25, 2009, pp. 49-273
- with Dario Cordero-Erausquin: Interpolations, convexity and geometric inequalities, in: Geometric Aspects of Functional Analysis, Lecture Notes in Math. 2050, Springer 2012, pp. 151–168. Arxiv
- Needle decompositions in Riemannian geometry. Mem. Amer. Math. Soc., Vol. 249, No. 1180, 2017, Arxiv
- with Elisabeth Werner: Some open problems in asymptotic geometric analysis, Notices AMS, June / July 2018, online
source
- A. Ran, Herman te Riele , Jan Wiegerinck (editors): European Congress of Mathematics, Amsterdam 2008 , European Mathematical Society, 2010
Web links
| personal data | |
|---|---|
| SURNAME | Clear day, Bo'az |
| ALTERNATIVE NAMES | בועז קלרטג (Hebrew) |
| BRIEF DESCRIPTION | Israeli mathematician |
| DATE OF BIRTH | April 25, 1978 |