Alexey Augustinovich Tuzhilin date of birth: February 9, 1963
Office address:
Department of Differential Geometry and Applications, Faculty of Mechanics and Mathematics, Lomonosov Moscow State University, GSP-1, Main Building, Leninskie Gory, Moscow, 119991, Russian Federation
Tel: +7-495-939-39-40, Fax:+7-495-932-89-94
E-mail:tuz@mech.math.msu.su
Research interests
Differential geometry and its applications, variational problems, minimal networks, graph theory, metric geometry, geometric measure theory, minimal fillings theory, geometry of Gromov-Hausdorff space, Kantorovich Transportation Problem, mathematical modeling and visualization in investigations and education, molecular biology.
Academic qualifications
1997 Doctor Phys.-Math. Science, "Classification of Local Minimal Planar Networks with Convex Boundaries", Chair of Differential Geometry and Application,s Faculty of Mechanics and Mathematics, Moscow State University
1990 Candidate Phys.-Math. Science (Ph.D.) "Morse's Indices of Minimal Surfaces", Advisor: Prof. A.T. Fomenko, Chair of High Geometry and Topology, Faculty of Mechanics and Mathematics, Moscow State University
1985-1989 Post-graduate studies, Chair of High Geometry and Topology, Faculty of Mechanics and Mathematics, Moscow State University, Scientific advisor: Prof. A.T. Fomenko
1980-1985 Student, Faculty of Mechanics and Mathematics, Moscow State University, Bachelor of Mathematics, (red diploma)
Current position and past employment history
2009-2014 Member of Academic Council of Faculty of Mechanics and Mathematics, Moscow State University
2007-2013 Member of Experts Council of Superior Certification Commission
2006-Present Head of Laboratory of Computer Methods in Humanities and Natural Sciences, Faculty of Mechanics and Mathematics, Moscow State University
2006-2008 Visiting Professor in Harbin Institute of Technology, Harbin, China
2000-Present Full Professor, Chair of Differential Geometry and Applications, Faculty of Mechanics and Mathematics, Moscow State University
2000-2010 Full Professor, Institute of Natural Science and Ecology (now it is a part of Moscow Institute of Physics and Technology)
1997-2000 Associate Professor, Chair of Differential Geometry and Applications, Faculty of Mechanics and Mathematics, Moscow State University
1994-1997 Teaching Assistant, Chair of Differential Geometry and Applications, Faculty of Mechanics and Mathematics, Moscow State University
Jan. 1993-Jun. 1994 Professore Visitante IMECC, UNICAMP, Campinas, SP, Brazil
1992-1993 Teaching Assistant, Chair of Differential Geometry and Applications, Faculty of Mechanics and Mathematics, Moscow State University
1989-1992 Research Assistant, Laboratory of Renewable Sources of Energy, Moscow State University
The list of courses
1992-present Seminars on Classical Differential Geometry
1992-2010 Seminars on Differential Geometry and Topology
1992-1996 Special Course on Topological Variational Problems
1993-1994 Lectures on Mathematical Methods in Economics
1996-1997 Lectures on Mathematical Methods in Economics
1996-1997 Seminars on Mathematical Methods in Economics
1998-2010 Lectures on Classical Differential Geometry
1998-2010 Lectures on Differential Geometry and Topology
1998-present Special Seminars on Extreme Networks Theory
2002-2010 Lectures and Seminars on High Geometry and Topology for students of Institute of Natural Science and Ecology (now it is a part of Moscow Institute of Physics and Technology)
2002-2004 Special Courses on Mathematical Methods in Biology
2003-2004 Lectures on Differential Geometry for Students of Bioinformatics Department
2006-2008 Lectures and Seminars on Differential Geometry and Topology in HIT, Harbin, China
2010-2013 Practicum on Computer Geometry
2011-2013 Special Course Elements of Metric Geometry
2012-present Lectures on Visual Geometry and Topology
2012-present Seminars on Visual Geometry and Topology
2013-2015 Special Course Metric Geometry and Geometric Theory of Graphs
2015-2016 Special Course Geometric Measure Theory. Introduction
2016-2017 Special Course Elements of Metric Geometry and Geometric Graph Theory
2017-2018 Special Course Steiner Problem: Approach of Geometric Measure Theory
2018-2019 Special Course Kantorovich Transportation Problem and Geometry of Probability Measures
PUBLICATION
Books
1. A.T.Fomenko, A.A.Tuzhilin, Elements of the geometry and topology of minimal surfaces in three-dimensional space. Translations of Mathematical Monographs, 1992, v. 93.
2. A.O.Ivanov, A.A.Tuzhilin, Minimal Networks: The Steiner Problem and Its Generalizations. CRC Press, N.W., Boca Raton, Florida, 1994.
3. A.O.Ivanov, A.A.Tuzhilin, Branched Geodesics: Geometrical Theory of Local Minimal Networks. The Edwin Mellen Press, Lewinston, NY, USA, 1999 (in Russian).
4. A.O.Ivanov, A.A.Tuzhilin, Branching solutions to one-dimensional variational problems. World Scientific, Singapore-New Jersey-London- Hong Kong, 2000.
5. A.O.Ivanov, A.A.Tuzhilin, Extreme Networks Theory. Moscow-Izhevsk: institute of Computer Investigations, 2003 (in Russian).
6. V.V.Trofimov, A.A.Tuzhilin, Mathematical models in economy. 5 lectures. – 2005, http://www.gaudeamus.omskcity.com/PDF_library_economic_5.html.
7. A.O.Ivanov, A.A.Tuzhilin, Lections on Differential Geometry and Topology, Part 1: Classical Differential Geometry. Preprint, 2001-Present (on http://www.mmonline.ru or http://dfgm.math.msu.su)
8. A.O.Ivanov, A.A.Tuzhilin, Lections on Differential Geometry and Topology, Part 2: Tensor Calculus on Manifolds. Preprint, 2001- Present (on http://dfgm.math.msu.su)
9. A.O.Ivanov, A.A.Tuzhilin, Lectures on Classical Differential Geometry, Moscow, Logos, 2008.
10. A.T.Fomenko, A.O.Ivanov, D.P.Il’yutko, G.V.Nosovskij, A.A.Tuzhilin. Computer Geometry: practical work. 2010.
11. I.M.Nikonov, A.A.Tuzhilin, Mathematical Models in Economics. Spring Term. 2012, MSU, Moscow, 120 pp.
12. A.A.Tuzhilin, A.T.Fomenko, Element of Geometry and Topology of Minimal Surfaces. 2014, URSS Moscow, ISBN 978-5-9710-0878-1, 256 pp.
13. A.A.Oshemkov, F.Yu.Popelensky, A.A.Tuzhilin, A.T.Fomenko, A.I.Shafarevich Textbook on Visual Geometry and Topology. 2014, URSS, Moscow, ISBN 978-5-9710-0970-2, 360 pp.
14. A.O.Ivanov, A.A.Tuzhilin, Geometry of Hausdorff and Gromov-Hausdorff Distances: the Case of Compacts. Publishing House of the Board of Trustees of Mechanical-Mathematical Faculty of Lomonosov Moscow State University, 2017, Moscow (in Russian).
15. A.O.Ivanov, A.A.Tuzhilin, Steiner Problem: Approach of Geometrical Measure Theory. Publishing House of the Board of Trustees of Mechanical-Mathematical Faculty of Lomonosov Moscow State University, 2018, Moscow (in Russian).
16. A.O.Ivanov, A.A.Tuzhilin, Geometric Measure Theory, Part 1. Publishing House of the Board of Trustees of Mechanical-Mathematical Faculty of Lomonosov Moscow State University, 2018, Moscow (in Russian).
Recent awards
1. State gratuity for young scientists, 1996, Moscow, Russia
2. Shuvalov premium, 2000, Moscow, Russia
3. Russian Federation President Grant "Young doctors of science", 2001, Moscow, Russia
4. Euler gratuity, 2002, Bochum, Germany
Current and previous grant support
1. International Scientific Fund of J.Soros (1992, 1993-94)
2. INTAS (1995-1997, 1996-1997, 1997-2000)
3. Ministry of Culture and Science, France (1991-1993)
4. Russian Foundation for Fundamental Investigations (1994-1995, 1995-1996, 1996-1998, 1998-2000, 2001-2003, 2003-2005, 2005- 2007, 2007-2009,2010-2012)
5. FAPESP (1992-1993)
6. Ministry of Science and Technical Politics, Russia (1996-1998)
7. Russian Federation President Grant for young scientists support (2001-2003)
8. Russian Federation President Grant for leading scientific schools support (2003-2005)
9. Universities of Russian Grant (2000-2005)
10. Russian-French Grant (biology, 2005-2007)
11. Geometry and Topology of Manifolds and Dynamical Systems, RFBR (1993-2018)
12. Scientific basis for creating a bank-depository of living beings, RSF (2015-2018)
13. Geometry and Topology of Manifolds and Dynamical Systems (2016- 2018)
14. Differential Geometry and Applications (2016-2017)
15. Geometry and Topology of Manifolds, Dynamical Systems, and Hamiltonian Systems (2019-2021)
