Svetlana Jitomirskaya

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Svetlana Yakovlevna Jitomirskaya ( Russian Светлана Яковлевна Житомирская ; born June 4, 1966 in Kharkiv ) is a Russian-American mathematician who deals with mathematical physics .

Svetlana Jitomirskaya (center) with Artur Avila (left), David Damanik, Oberwolfach 2012

Life

family

Jitomirskaya comes from a Jewish family in which both parents were mathematics professors: her father is Jakow Schitomirski, her mother Valentina Mikhailovna Borok (1931-2004), a professor in Kharkiv and a specialist in partial differential equations . Her older brother Mikhail is also a mathematician. She married her friend Wladimir Mandelstam (also a mathematician, with whom she later published) and, while still a student, had a daughter with him and later two other children.

education

Jitomirskaya initially wanted to study literature, but according to her own statements, she then chose mathematics because it gave her better chances of admission to Lomonosov University in Moscow (where her boyfriend was), which was particularly difficult for Jewish students - she spent a year preparing for the notorious exam at a special school, but then perhaps, thanks to the reputation of her parents, did not take such an oral entrance exam.

At Lomonossow University she heard from Vladimir Arnold and Jakow Sinai, among others . In 1987 she received her doctorate from Sinai (Localization problems in the kicked rotator model) and in 1990 from Sinai at the Lomonossow (Spectral and statistical properties of lattice Hamiltonians), while she worked like her husband at the Moscow Geophysical Institute .

In 1991 she went to the USA with her husband. In 1992 she became Visiting Assistant Professor at the University of California, Irvine , 1994 Assistant Professor, 1997 Associate Professor and 2000 Professor. At the same time she was a member of the Moscow Geophysical Institute until 2006. Among other things, she was visiting professor at Caltech , MSRI and the Center for Theoretical Physics in Marseille . She has both Russian and US citizenship.

Create

Jitomirskaya worked in particular on the spectrum of quasi-periodic Schrödinger operators with connections to the theory of the quantum Hall effect , quasicrystals , localization phenomena and quantum chaos. In 1994 she was invited speaker at the International Congress of Mathematical Physics in Paris ( Everything about the almost Mathieu Operator ), gave a plenary lecture at the 2006 International Congress of Mathematical Physics and was invited speaker at the 2002 International Congress of Mathematics in Beijing ( Nonperturbative localization ) . In 2005 she received the Ruth Lyttle Satter Prize in Mathematics , with particular emphasis on her work on non-perturbation-theoretical quasi-periodic localization. She was a Sloan Research Fellow (1996). In 2018 she was elected to the American Academy of Arts and Sciences . For 2020, Jitomirskaya was awarded the Dannie Heineman Prize for Mathematical Physics by the American Physical Society .

Jitomirskaya also worked with Barry Simon . With Artur Avila , she solved Simon's Ten Martini problem .

Fonts (selection)

Unless mentioned in the footnotes.

  • with B. Simon: Operators with singular continuous spectrum: III. Almost periodic Schrödinger operators, Communications in Mathematical Physics, Volume 165, 1994, pp. 201-205
  • with R. del Rio, Y. Last, Barry Simon: Operators with singular continuous spectrum, IV. Hausdorff dimensions, rank one perturbations, and localization, Journal d'Analyse Mathématique, Volume 69, 1996, pp. 153-200
  • with AY Gordon, Y. Last, B. Simon: Duality and singular continuous spectrum in the almost Mathieu equation, Acta Mathematica, Volume 178, 1997, pp. 169-183
  • with Y. Last: Power-law subordinacy and singular spectra I. Half-line operators, Acta Mathematica, Volume 183, 1999, pp. 171-189
  • with J. Borgain: Continuity of the Lyapunov exponent for quasiperiodic operators with analytic potential, Journal of Statistical Physics, Volume 108, 2002, pp. 1203-1218
  • with A. Avila: The ten martini problem, Annals of Mathematics, Volume 170, 2009, pp. 303–342, Arxiv
  • with Wencai Liu: Universal hierarchical structure of quasiperiodic eigenfunctions, Annals of Mathematics, Volume 187, 2018, pp. 721-776

Web links

Individual evidence

  1. ↑ English transcription as she is a US citizen
  2. ↑ Svetlana Jitomirskaya in the Mathematics Genealogy Project (English)Template: MathGenealogyProject / Maintenance / id used
  3. ↑ official title: Institute for Earthquake Prediction and Mathematical Geophysics
  4. ↑ Jitomirskaya Metal-Insulator transition for the almost Mathieu operator , Annals of Mathematics, Volume 150, 1999, p. 1159, Jitomirskaya, Jean Bourgain Absolutely continuous spectrum for 1 dimensional quasiperiodic Operators , Inventiones Mathematicae, Volume 148, 2002, p. 453
personal data
SURNAME Jitomirskaya, Svetlana
ALTERNATIVE NAMES Jitomirskaya, Svetlana Yakovlevna; Житомирская, Светлана Яковлевна (Russian spelling)
BRIEF DESCRIPTION Russian-American mathematician
DATE OF BIRTH 4th June 1966
PLACE OF BIRTH Kharkiv