About me

Marina F. Prokhorova

Personal information

Born: February 19, 1967, Sverdlovsk, USSR
Citizenship: Russia
Address: Institute of Mathematics and Mechanics, Russian Academy of Sciences / Ural Branch
S.Kovalevskaya 16, Ekaterinburg 620990 Russia
Fax: +7(343)3742581
E-mail: pmf [] imm.uran.ru
web-site: http://marina-p.info
Scientific interests: topology, algebraic geometry, global analysis, mathematical physics, nonstandard analysis
Family: son, daughter

Education

1997 Ph.D., Dept. of Math., Ural State University
Thesis: “Some analytic methods of investigations of nonlinear boundary problems of mathematical physics”
Thesis advisor: Professor, Academician A.F.Sidorov
1990-1994 Graduate Studies, Institute of Mathematics and Mechanics, Russian Academy of Sciences / Ural Branch
1984-1990 Undergraduate Studies, Dept. of Math., Ural State University, Sverdlovsk, USSR.
Graduated summa cum laude.

Academic positions

Institute of Mathematics and Mechanics, Russian Academy of Sciences / Ural Branch

2008-present Senior Researcher Algebra and Topology Department
2002-2008 Senior Researcher Applied Problems Department
1998-2002 Research Scientist Applied Problems Department
1994-1997 Junior Research Scientist Applied Problems Department

Visiting positions

04/2012-06/2012 Laboratory of Algebraic Geometry and its Applications, National research university "Higher school of economics" (Moscow, Russia)
04/2011 Radboud University (Nijmegen, Netherlands)
03/2010-04/2010 Member of Max Planck Institute for Mathematics (Bonn, Germany)
10/2007-11/2007 Member of IHES (Bures-sur-Yvette, France)

Teaching

2009-2011 Algebraic geometry (Ural State University)

Invited talks

2010, 2011 The Summer School "Contemporary Mathematics" (Dubna, Russia)
2010 Geometry and Topology Seminar (Weizmann Institute, Israel)
2010 Nonlinear Analysis and Optimization Seminar (Technion, Israel)
2010 Seminar on Algebra, Geometry and Physics (Max Planck Institute for Mathematics, Bonn, Germany)
2010 Research seminar Global Analysis (Mathematical Institute of the University of Bonn, Germany)
2010 Mathematical physics seminar (Angers University, France)
2009 V.A.Rohlin Topology Seminar (Petersburg Department of the Steklov Institute of Mathematics, Russia)
2006, 2008, 2010 Seminar on Cohomological Aspects of Geometry of Differential Equations (Independent University of Moscow, Russia)
2005 Seminar on Low-Dimensional Mathematics (Petersburg Department of the Steklov Institute of Mathematics, Russia)
2000, 2002 Seminar on Decomposition of Mathematical Models (Computing Center of Russian Academy of Sciences, Moscow, Russia)
2001 Geometry Seminar (Kazan State University, Russia)

Other professional activities

2012 Member of the Program Committee of the International School-Conference for young scientists (Ekaterinburg, Russia)
2011 Co-Chair of the Organizing Committee of the International School on Algebra and Algebraic Geometry,
Member of the Organizing Committee of the International Conference on Algebra and Geometry
2010, 2011 Member of the Organizing Committee and of the Program Committee of the Russian School-Conference for young scientists (Ekaterinburg, Russia)
2008-present Advisor for Algebraic Topology learning seminar (Institute of Mathematics and Mechanics, Russian Academy of Sciences / Ural Branch)
2011-present Advisor for Category Theory learning seminar (Ural State University)

Awards

2005 Results were included in the list of the best results of the Ural Branch of Russian Academy of Sciences
2002 International Science and Education Development Foundation (ISEDF) Grant "Young scientists of Russia"
1997-1999 State Research Grant of Russian Federation for young scientists
1996 Results were included in the list of the best results of the Ural Branch of Russian Academy of Sciences
1996 The Prize of the Ural Mathematical Society
1987 First Prize of the USSR's National Undergraduates Contest in Mathematics
1987 First Prize of the Ural Undergraduates Contest in Theoretical Mechanics
1988 First Prize of the Regional (Ural, Siberia and Far East) Undergraduates Contest in Computer Sciences
1983 First Prize of the USSR's National Junior Contest in Mathematics
1984 Second Prize of the USSR's National Junior Contest in Mathematics

Selected publications

  1. Prokhorova, M. The spectral flow for Dirac operators on compact planar domains with local boundary conditions. arXiv:1108.0806v3 [math-ph], 1-33.
  2. Katsnelson M.I., Prokhorova M.F. Zero-energy states in corrugated bilayer graphene. Physical Review B, 2008, Vol.77, No.20. (arXiv:0802.1409v2 [cond-mat.mes-hall])
  3. Prokhorova, M.F. Homeomorphism problems arising in the theory of grid generation. Proc. of the Steklov Inst. of Math., 2008, Suppl.1, pp.S165-S182. (Text in Russian).
  4. Prokhorova, M. The structure of the category of parabolic equations. arXiv:math/0512094v5 [math.AP], 1-33.
  5. Prokhorova, M. F. On the existence of factor sets by external equivalence relations in IST. Siberian Math. J. 43 (2002), no. 4, 708-713; translated from Sibirsk. Mat. Zh. 43 (2002), no. 4, 879-886. (Text in Russian).
  6. Prokhorova, M. External sets properties in IST. The Bulletin of Symbolic Logic. 8 (2002), Issue 1, 155-156.
  7. Prokhorova, M. Factorization of nonlinear heat equation posed on Riemann manifold. arXiv:math/0108001v1 [math.AP], 2001, 1-9.
  8. Prokhorova, M. F. On relative near-standardness in IST. Siberian Math. J. 39 (1998), no. 3, 518-521; translated from Sibirsk. Mat. Zh. 39 (1998), no. 3, 600-603 (Text in Russian).
  9. Prokhorova, M. F. Modeling of solutions of the heat equation and of the Stefan problem with dimension decrease. Russian Acad. Sci. Docl. Math. 58 (1998), no.1, 88-90; translated from Dokl. Ross. Akad. Nauk 361 (1998) no.4, 450-452 (Russian).
  10. Prokhorova, M. F. Self-similar solutions of the Stefan problem. Journal of Engineering Physics and Thermophysics 63 (1993), no. 4, 1032-1036; translated from Inzh.-Fiz. Zh. 63 (1992), no. 4, 468-472 (Russian)
  11. Prokhorova, M. F. The shape of a growing dendrite. Journal of Engineering Physics and Thermophysics 61 (1992), no. 5, 1394-1400; translated from Inzh.-Fiz. Zh. 61 (1991), no. 5, 808-815 (Russian)

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