## 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: 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

- Self-adjoint local boundary problems on compact surfaces. II. Family index. arXiv:1809.04353 [math-ph], 43 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 |

## 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 |