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Curriculum Vitae            Publications

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:  marina-p.info
Interests:  global analysis, index theory, elliptic operators, topology, K-theory, mathematical physics, nonstandard analysis
Family:  son, daughter

CURRENT POSITION

From 10/2020: Post-Doctoral Fellow at the Department of Mathematics, Technion – Israel Institute of Technology.

EDUCATION

10/2016 - 09/2020PhD Studies (Pure Mathematics), Department of Mathematics, Technion – Israel Institute of Technology.
Supervisor: Prof. Simeon Reich.
Thesis: “Spectral Flow and Family Index for Self-Adjoint Elliptic Local Boundary Value Problems on Compact Surfaces” (pdf).
1997PhD degree (Differential Equations), Ural State University.
Thesis: "Some Analytic Methods of Investigation of Nonlinear Boundary Problems of Mathematical Physics".
1990-1994PhD Studies (Applied Mathematics): Institute of Mathematics and Mechanics of the Ural Branch of Russian Academy of Sciences.
Supervisor: Prof. Anatoly F. Sidorov.
1984-1990MSc (Summa cum Laude): Department of Mathematics and Mechanics, Ural State University, Sverdlovsk (now Yekaterinburg), USSR.
Supervisor: Dr. Valery V. Mansurov.
Thesis: “Dendrite Growth in Overcooled Melt”.

PREVIOUS ACADEMIC POSITIONS (in Yekaterinburg, Russia)

2009-2016Senior Researcher (part time) at the Ural Federal University
2008-2016Senior Researcher at the Algebra and Topology Department
(Institute of Mathematics and Mechanics of the Ural Branch of Russian Academy of Sciences)
1994-2008Junior Researcher, Researcher, Senior Researcher at the Applied Problems Department
(Institute of Mathematics and Mechanics of the Ural Branch of Russian Academy of Sciences)

VISITING POSITIONS

03-05/2016,
10-11/2015
Einstein Institute of Mathematics, The Hebrew University of Jerusalem (Israel)
03/2014Max 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)
04/2011Institute of Molecules and Materials, Radboud University (Nijmegen, Netherlands)
03-04/2010Max Planck Institute for Mathematics (Bonn, Germany)
10-11/2007IHES (Bures-sur-Yvette, France)

MSC STUDENT ADVISING

Ural Federal University (Yekaterinburg, Russia):

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

TEACHING

MSc courses

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

Mini-courses

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

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

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

2014Nonstandard analysis (video: 1, 2, 3, 4, in Russian)
2013Smooth manifolds and homotopy groups of spheres (video: 1, 2, 3, 4, in Russian)
2011Eight faces of the Poincare homology 3-sphere
20103-dimensional manifolds

SELECTED PUBLICATIONS

My papers on Google Scholar       My papers on arXiv

  1. Spectral Sections.
    arXiv:2008.04672 [math.SP], 36 pp.
  2. 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.
  3. Self-adjoint local boundary problems on compact surfaces. I. Spectral flow.
    Journal of Geometric Analysis (2019).
    arXiv:1703.06105 [math.AP], 46 pp.
  4. The structure of the category of parabolic equations. I.
    CEUR Workshop Proceedings, 2016, Vol-1662, 121-133.
  5. The structure of the category of parabolic equations. II.
    CEUR Workshop Proceedings, 2016, Vol-1662, 134-147.
  6. 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)
  7. 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]
  8. 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).
  9. (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]
  10. Homeomorphism problems arising in the theory of grid generation.
    Proceedings of the Steklov Institute of Mathematics, 2008, Suppl.1, S165-S182.
    (see also text in Russian).
  11. On the existence of factor sets by external equivalence relations in IST.
    Siberian Mathematical Journal 43 (2002), no. 4, 708-713
    (see also text in Russian).
  12. External sets properties in IST.
    The Bulletin of Symbolic Logic. 8 (2002), Issue 1, 155-156.
  13. Heat equation on Riemann manifolds: morphisms and factorization to smaller dimension.
    Proceedings of Institute of Mathematics of NAS of Ukraine, 43 (2002), 194–200.
  14. On relative near-standardness in IST.
    Siberian Mathematical Journal 39 (1998), no. 3, 518-521
    (see also text in Russian).
  15. 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.
  16. (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.
  17. Self-similar solutions of the Stefan problem.
    Journal of Engineering Physics and Thermophysics (1992) 63: 1032.
  18. 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

2012-2016International School-Conferences for young scientists (Yekaterinburg, Russia),
member of the program committee and chair of the Topology and Geometry section.
2011International School on Algebra and Algebraic Geometry (Yekaterinburg, Russia),
organizer
2011International Conference on Algebra and Geometry (Yekaterinburg, Russia),
member of the Organizing Committee
2010, 2011Russian School-Conferences for young scientists (Yekaterinburg, Russia),
member of the Organizing Committee and of the Program Committee
2008-2014Advisor for the Algebraic Topology learning seminar
(Institute of Mathematics and Mechanics, Russian Academy of Sciences / Ural Branch)
2011-2012Advisor for the Category Theory learning seminar (Ural Federal University)

AWARDS

2005Results were included in the list of the best results of the Ural Branch of Russian Academy of Sciences
2001International Science and Education Development Foundation (ISEDF) Grant "Young scientists of Russia"
1997-1999State Research Grant of Russian Federation for young scientists
1996Results were included in the list of the best results of the Ural Branch of Russian Academy of Sciences
1996The Prize of the Ural Mathematical Society
1987First Prize of the USSR's National Undergraduates Contest in Mathematics
1987First Prize of the Ural Undergraduates Contest in Theoretical Mechanics
1988First Prize of the Regional (Ural, Siberia and Far East) Undergraduates Contest in Computer Sciences
1983First Prize of the USSR's National Junior Contest in Mathematics
1984Second Prize of the USSR's National Junior Contest in Mathematics