Marina Prokhorova

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About me

Marina F. Prokhorova

Curriculum Vitae

Personal information

Born:	1967, Sverdlovsk, USSR
Citizenship:	Russian, Israeli from 09/2016
Address:	Department of Mathematics, Technion - Israel Institute of Technology, Haifa, 32000, Israel
E-mail:	marina.p [] campus.technion.ac.il
web-site:	http://marina-p.info (mirror: MarinaProkhorova.wordpress.com)
Scientific interests:	global analysis, elliptic operators, topology, K-theory, mathematical physics, nonstandard analysis
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: Anatoly 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

Self-adjoint local boundary problems on compact surfaces. II. Family index. To appear in the Journal of Noncommutative Geometry; arXiv:1809.04353 [math-ph], 46 pp.
Self-adjoint local boundary problems on compact surfaces. I. Spectral flow. Journal of Geometric Analysis (2019). arXiv:1703.06105 [math.AP], 46 pp.
The structure of the category of parabolic equations. I. CEUR Workshop Proceedings, 2016, Vol-1662, 121-133.
The structure of the category of parabolic equations. II. CEUR Workshop Proceedings, 2016, Vol-1662, 134-147.
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).
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])
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).
(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])
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).
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).
External sets properties in IST. The Bulletin of Symbolic Logic. 8 (2002), Issue 1, 155-156.
On relative near-standardness in IST. Siberian Math. J. 39 (1998), no. 3, 518-521 (see also text in Russian).
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.
(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.
Self-similar solutions of the Stefan problem. Journal of Engineering Physics and Thermophysics (1992) 63: 1032.
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), invited speaker

SEMINAR TALKS

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