Izabella Laba

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Izabella Laba (* 1966 ) is a Polish-Canadian mathematician. She is a professor at the University of British Columbia .

Laba studied from 1981 at the University of Breslau (diploma 1986 with P. Biler) and from 1989 at the University of Toronto , where she received her doctorate in 1994 with Israel Michael Sigal (N-particle scattering in a constant magnetic field). From 1994 she was Hedrick Assistant Professor at the University of California, Los Angeles and from 1997 Assistant Professor at Princeton University . In 2000 she became Associate Professor and in 2005 Professor at the University of British Columbia.

She was visiting scholar at the Fields Institute (2008), Pennsylvania State University, and the University of Missouri.

It deals with harmonic analysis, geometric measurement theory, additive combinatorics, mathematical physics and partial differential equations. With Christian Gérard she proved the asymptotic completeness for a large class of N-body systems in external magnetic fields. With Nets Katz and Terence Tao she gave the best results up to that point for the lower limits of the Minkowski dimension of Besikowitsch sets (connected with Kakeya's needle problem) in three-dimensional Euclidean spaces (according to Kakeya's conjecture , Besicovich sets have at least Hausdorff dimension n in n-dimensional Euclidean spaces). Other important results it achieved through translational tilings (translationally tiling) and distance amounts (under the assumption of Kenneth Falconer ).

She has published with Terence Tao and Thomas Wolff , among others .

In 2008 she received the Krieger Nelson Prize , a Faculty of Science Achievement Award from the University of British Columbia in 2002 and the Coxeter James Prize in 2004 . In 2009 she became a Fellow of the Fields Institute. She is a Fellow of the American Mathematical Society . In 2014 she was invited speaker at the ICM in Seoul ( Harmonic analysis and the geometry of fractals ).

With Carol Shubin, she edited Thomas Wolff's lectures on harmonic analysis in 2003.

Fonts

  • From harmonic analysis to arithmetic combinatorics , Bulletin AMS, Volume 45, 2008, pp. 77-115, online
  • with Christian Gérard: Multiple scattering in constant magnetic fields , American Mathematical Society 2002

Web links

Individual evidence

  1. ^ Mathematics Genealogy Project
  2. ↑ Besicovich sets contain a line segment of unit length in each direction
  3. ^ Katz, Laba, Tao: An improved bound on the Minkowski dimension of Besicovitch sets in R3 , Annals of Mathematics, Volume 152, 2000, pp. 383-446. According to them, the lower limit is greater than 2.5 (the value was the best lower limit up to that point) and they characterized the properties of Besicovich sets close to the assumed minimum dimension.
personal data
SURNAME Laba, Izabella
BRIEF DESCRIPTION Polish-Canadian mathematician
DATE OF BIRTH 1966