About me

Marina F. Prokhorova

 

Curriculum Vitae

Personal information

Born: 1967, Sverdlovsk, USSR
Citizenship: Russian, Israeli from 09/2016
E-mail: marina.p [] campus.technion.ac.il
web-site: http://marina-p.info
Scientific interests: global analysis, elliptic operators, topology, K-theory, mathematical physics
Family: son, daughter

Education

2016-present PhD Studies (Pure Mathematics), Department of Mathematics, Technion – Israel Institute of Technology. Thesis advisor: Simeon Reich.
1997 Ph.D. (Applied Mathematics), Ural State University. Thesis advisor: Professor, Academician A.F.Sidorov. Thesis: "Some analytic methods of investigations of nonlinear boundary problems of mathematical physics".
1990-1994 PhD Studies: Institute of Mathematics and Mechanics of the Ural Branch of Russian Academy of Sciences
1984-1990 Undergraduate Studies: Department of Mathematics and Mechanics, Ural State University, Sverdlovsk (now Yekaterinburg), USSR.
Graduated summa cum laude.

Academic positions

Institute of Mathematics and Mechanics of the Ural Branch of Russian Academy of Sciences:

2008-2016 Senior Researcher Algebra and Topology Department
1994-2008 Junior Researcher, Researcher, Senior Researcher Applied Problems Department

Visiting positions

03-05/2016,
10-11/2015		 Einstein Institute of Mathematics, The Hebrew University of Jerusalem (Israel)
03/2014 Max Planck Institute for Mathematics (Bonn, Germany)
05−06/2013,
04-06/2012		 Laboratory of Algebraic Geometry and its Applications, National research university "Higher school of economics" (Moscow, Russia)
04/2011 Institute of Molecules and Materials, Radboud University (Nijmegen, Netherlands)
03-04/2010 Max Planck Institute for Mathematics (Bonn, Germany)
10-11/2007 IHES (Bures-sur-Yvette, France)

MSc Student Advising

Ural State University:

2010-2011 Maxim Mornev (currently a postdoc in ETH Zürich in number theory)
2008-2011 Daniil Aizenshtein

Teaching

MSc/BSc courses

2013-2014 Differential topology (one year course, Ural Federal University)
2009-2011 Algebraic geometry (two years course, Ural State University)

Small courses

International School-Conference for young scientists (Ekaterinburg, Russia):

2016 Poncelet’s porism and elliptic curves
2015 K-theory: topology, analysis, algebra

The Summer School "Contemporary Mathematics" (Dubna, Russia):

2014 Nonstandard analysis (video: 1, 2, 3, 4, in Russian)
2013 Smooth manifolds and homotopy groups of spheres (video: 1, 2, 3, 4, in Russian)
2011 Eight faces of the Poincare homology 3-sphere
2010 3-dimensional manifolds

Selected publications

Google Scholar

  1. Self-adjoint local boundary problems on compact surfaces. II. Family index. arXiv:1809.04353 [math-ph], 43 pp.
  2. Self-adjoint local boundary problems on compact surfaces. I. Spectral flow. Journal of Geometric Analysis (2019). arXiv:1703.06105 [math.AP], 46 pp.
  3. The structure of the category of parabolic equations. I. CEUR Workshop Proceedings, 2016, Vol-1662, 121-133.
  4. The structure of the category of parabolic equations. II. CEUR Workshop Proceedings, 2016, Vol-1662, 134-147.
  5. Factorization of the Reaction-Diffusion Equation, the Wave Equation, and Other Equations. Proceedings of the Steklov Institute of Mathematics, 2014, Vol.287, Suppl. 1, S156-S166. (text in English, text in Russian).
  6. The spectral flow for Dirac operators on compact planar domains with local boundary conditions. Communications in Mathematical Physics, 2013, Vol.322(2), 385-414. (arXiv:1108.0806 [math-ph])
  7. Homeomorphism criteria for the theory of grid generation. Zh. Vychisl. Mat. i Mat. Fiz., 52:5 (2012), 878–882 (in Russian); arXiv:1504.01087 [math.GT] (in English).
  8. (with M.I. Katsnelson) Zero-energy states in corrugated bilayer graphene. Physical Review B, 2008, Vol.77, No.20. (arXiv:0802.1409 [cond-mat.mes-hall])
  9. Homeomorphism problems arising in the theory of grid generation. Proc. of the Steklov Inst. of Math., 2008, Suppl.1, S165-S182. (see also text in Russian).
  10. On the existence of factor sets by external equivalence relations in IST. Siberian Math. J. 43 (2002), no. 4, 708-713 (see also text in Russian).
  11. External sets properties in IST. The Bulletin of Symbolic Logic. 8 (2002), Issue 1, 155-156.
  12. On relative near-standardness in IST. Siberian Math. J. 39 (1998), no. 3, 518-521 (see also text in Russian).
  13. 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.
  14. 14. (with L.D. Zabezhinskii, V.V. Prokhorov, M.N. Mil'shtein, S.G. Stakheev) Statement and personal-computer-aided realization of the conjugate problem of heat transfer in a power-technological boiler with a moving bed of dispersed heat-transfer agent. Journal of Engineering Physics and Thermophysics (1997) 70: 744.
  15. Self-similar solutions of the Stefan problem. Journal of Engineering Physics and Thermophysics (1992) 63: 1032.
  16. The shape of a growing dendrite. Journal of Engineering Physics and Thermophysics (1991) 61: 1394.

Invited talks

2014 Conference Geometric Structures and Spectral Invariants (Berlin, Germany)

SEMINARS

2019 Algebra Seminar (Technion, Haifa, Israel)
2019 PDE and Applied Mathematics Seminar (Technion, Haifa, Israel)
2019 Operator Algebras/Operator Theory Seminar (Technion, Haifa, Israel)
2018 Operator Algebras/Operator Theory Seminar (Technion, Haifa, Israel)
2018 Nonlinear Analysis and Optimization Seminar: 1, 2 (Technion, Haifa, Israel)
2015 Seminar of Laboratory of Algebraic Geometry and its Applications (Moscow, Russia)
2015 Nonlinear Analysis and Optimization Seminar: 1, 2 (Technion, Haifa, Israel)
2015 Geometry and Topology Seminar (Weizmann Institute of Sciences, Rehovot, Israel)
2015 Operator and System Theory Seminar (Ben-Gurion University, Beer-Sheva, Israel)
2014 Mathematical physics seminar (Angers University, France)
2013 Colloquium of the Faculty of Mathematics (Higher School of Economics, Moscow, Russia)
2012 Seminar of Laboratory of Algebraic Geometry and its Applications (Moscow, Russia)
2010 Geometry and Topology Seminar (Weizmann Institute, Israel)
2010 Nonlinear Analysis and Optimization Seminar (Technion, Israel)
2010 Mathematical physics seminar (Angers University, France)
2010 Research seminar Global Analysis (Mathematical Institute of the University of Bonn, Germany)
2010 Seminar on Algebra, Geometry and Physics (Max Planck Institute for Mathematics, Bonn, Germany)
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

2012-2016 Member of the Program Committee of the International School-Conference for young scientists (Ekaterinburg, Russia)
2011 Organizer of the International School on Algebra and Algebraic Geometry
2011 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)
2008-2014 Advisor for the Algebraic Topology learning seminar (Institute of Mathematics and Mechanics, Russian Academy of Sciences / Ural Branch)
2011-2012 Advisor for the 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
2001 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

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