Alexander Kiselev

Alexander "Alex" Kiselev é um matemático estadunidense.

Alexander Kiselev
Nascimento 1969
Cidadania Estados Unidos
Alma mater
Ocupação matemático
Prêmios
Empregador(a) Universidade de Wisconsin–Madison, Universidade Rice, Universidade Duke

Kiselev estudou física na Universidade Estatal de São Petersburgo, obtendo o diploma em 1992 e obteve um doutorado em 1996 no Instituto de Tecnologia da Califórnia (Caltech), orientado por Barry Simon, com a tese Absolutely Continuous Spectrum of One-Dimensional Schrödinger Operators with Slowly Decreasing Potentials.[1] No pós-doutorado esteve no Mathematical Sciences Research Institute (MSRI) e foi de 1997 a 1999 Dickson Instructor na Universidade de Chicago, onde foi em 1999 professor assistente. Em 2002 foi professor associado e em 2005 professor na Universidade de Wisconsin-Madison e em 2014 professor na Universidade Rice, onde é Edgar Odell Lovett Professor de matemática.

Em 2004 esteve no Instituto de Estudos Avançados de Princeton e em 1995/1996 no Institut des Hautes Études Scientifiques (IHES).

Foi palestrante convidado do Congresso Internacional de Matemáticos no Rio de Janeiro (2018: Small scales and singularity formation in fluid dynamics).[2][3]

Publicações selecionadas
  • com Tam Do, Xiaoquian Xu: Stability of Blow Up for a 1D model of Axisymmetric 3D Euler Equation, Arxiv 2016
  • com Lenya Ryzhik: Biomixing by chemotaxis and efficiency of biological reactions: the critical reaction case, J. Math. Phys., Volume 53, 2012, p. 115609
  • com L. Ryzhik: Biomixing by chemotaxis and enhancement of biological reactions, Communications in PDE, Volume 37, 2012, p. 298–318
  • com Fedor Nazarov, Roman Shterenberg: Blow up and regularity for fractal Burgers equation, Arxiv 2008
  • com F. Nazarov, A. Volberg: Global well-posedness for the critical 2D dissipative quasi-geostrophic equation, Inventiones Mathematicae, Volume 167, 2007, p. 445–453, Arxiv
  • com L. Ryzhik: Enhancement of the traveling front speeds in reaction-diffusion equations with advection, Annales de l'IHP Analyse non linéaire, Volume 18, 2001, p. 309–358
  • com Michael Christ: Maximal functions associated to filtrations, Journal of Functional Analysis, Volume 179, 2001, p. 409–425
  • com Rowan Killip, Y. Last: Dynamical upper bounds on wavepacket spreading, American J. Math., Volume 125, 2003, p. 1165–1198, Arxiv
  • com P. Constantin, A. Oberman, L. Rhyzik: Bulk Burning Rate in Passive–Reactive Diffusion, Archive for rational mechanics and analysis, Volume 154, 2000, p. 53–91, Arxiv
  • com Yoram Last: Solutions, spectrum and dynamics of Schrödinger operators on infinite domains, Duke Math. Journal, Volume 102, 2000, p. 125–150, Arxiv
  • com M. Christ: Absolutely continuous spectrum for one-dimensional Schrödinger operators with slowly decaying potentials: some optimal results, Journal of AMS, Volume 11, 1998, p. 771–797, Arxiv
  • com Y. Last, Barry Simon: Modified Prüfer and EFGP transforms and the spectral analysis of one-dimensional Schrödinger operators, Commun. Math. Phys., Volume 194, 1998, p. 1–45
  • Stability of the absolutely continuous spectrum of Schrödinger operators under slowly decaying perturbations and a.e. convergence of integral operators, Duke Math. J., Volume 94, 1998, p. 619–649
  • com M. Christ, C. Remling: The absolutely continuous spectrum of one-dimensional Schrödinger operators with decaying potentials, Math. Res. Lett., Volume 4. 1997, Sp. 1–5
  • Absolutely continuous spectrum for one-dimensional Schrödinger operators and Jacobi matrices with slowly decreasing potentials, Commun. Math. Phys., Volume 179, 1996, p. 377–400

Referências
  1. Alexander Kiselev (em inglês) no Mathematics Genealogy Project
  2. Small scales and singularity formation in fluid dynamics
  3. Small scales and singularity formation in fluid dynamics – Alexander Kiselev – ICM2018 no You Tube

Ligações externas
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