Shamolin, Maxim Vladimirovich

Born October 22, 1966 in the city of Noginsk, Moscow Region ^[2] . Father, Shamolin Vladimir Aleksandrovich (born 1938 ), graduated from Moscow Power Engineering Institute , an electrical engineer by training, and taught at the Polytechnic School of Elektrostal . Mother, Shamolina (Polozova) Tamara Nikolaevna (born 1941 ), worked as a teacher of Russian language and literature in Noginsk .

In 1983 he graduated with honors from secondary school No. 5 of Noginsk ^[3] .

In 1983 he entered, and in 1988 he graduated with honors from the Faculty of Mechanics and Mathematics of Moscow State University. M.V. Lomonosov (supervisors - V.V. Kozlov and V.A. Samsonov ). In 1988-1991 He studied at the graduate school of the Department of Mechanics of Mechanics and Mechanics of Moscow State University. He defended his thesis on the topic “Qualitative analysis of the model problem of the motion of a body in a fluid with a stream around it” ^{[4] [5]} ( 1991 , supervisor Professor V. A. Samsonov), and in 2004 the doctoral thesis on the topic “Methods analysis of some classes of non-conservative systems in the dynamics of a rigid body interacting with the environment ” ^{[6] [7]} . He has the title of professor ( 2011 ) ^[8] .

He has been working in the laboratory of navigation and control of the Institute of Mechanics of the Moscow State University named after MV Lomonosov since 1992 (from a researcher to a leading researcher). Also combines at the mechmath of Moscow State University since 1994 and at the Faculty of Mathematics of the Moscow State Pedagogical University since 2009 .

Previously, he worked part-time at the Department of Computational Mathematics and Mathematical Physics, MSTU. N. E. Bauman ( 2005 , professor) and at the Department of Higher Mathematics of Moscow State University (2008-2009, professor).

Member of the Society for Applied Mathematics and Mechanics ( GAMM ), European Society for Mechanics ( EUROMECH ), Moscow Mathematical Society (IMO), Honorary Member of the American Biographical Institute (ABI).

Since 1999 , at the Faculty of Mechanics and Mathematics of Moscow State University, under the leadership of D. V. Georgievsky , V. V. Trofimov and M. V. Shamolin, a research seminar “Actual Problems of Geometry and Mechanics” has been working. Since 2003 , this seminar was additionally called the seminar named after Professor V.V. Trofimov (1952-2003) under the direction of S. A. Agafonov , D. V. Georgievsky and M. V. Shamolin. The central press ^[9] publishes the proceedings of this seminar.

Member of the Editorial Board:

• published by the Center for New Information Technologies of the Moscow State University journal " Fundamental and Applied Mathematics ",
• journal " Applied Mathematics and Mathematical Physics " (MFUA),
• International Research Journal ,
• scientific series “ Results of science and technology. Modern mathematics and its applications. Thematic Reviews ”, issued by VINITI RAS ,
• editorial board of information publications in mathematics of VINITI RAS .

Member of the dissertation for doctoral council D 212.125.14 in mechanics at the Moscow Aviation Institute (since April 2017).

• 1983-1988 - Student of the Faculty of Mechanics and Mathematics of Moscow State University named after M.V. Lomonosov.
• 1991 - Graduated from the graduate school of the Faculty of Mechanics and Mathematics of Moscow State University named after MV Lomonosov, defended his thesis (12/27/1991).
• 1992-1997 - Researcher, Laboratory of Navigation and Control, Institute of Mechanics, Moscow State University named after MV Lomonosov.
• 1997-2002 - Chairman of the Council of Young Scientists of the Institute of Mechanics of Moscow State University named after MV Lomonosov.
• 1997-2006 - Senior Researcher, Laboratory of Navigation and Control, Institute of Mechanics, Moscow State University named after MV Lomonosov.
• 2004 - Awarded the degree of Doctor of Physics and Mathematics .
• 2005 - Professor, Department of Computational Mathematics and Mathematical Physics, MSTU named after N. E. Bauman .
• 2006 to present - Leading researcher at the Laboratory of Navigation and Control, Institute of Mechanics, Moscow State University named after MV Lomonosov.
• 2008-2009 - Professor, Department of Higher Mathematics, Moscow State Mining University (now - Mining Institute NUST "MISiS" ).
• 2009 to present - Professor, Department of Theoretical Informatics and Discrete Mathematics, Moscow State Pedagogical University .
• 2011 - Awarded the title of professor .

• applied mathematics , methods of mathematical modeling ;
• classical mechanics , dynamics of a rigid body interacting with a medium;
• qualitative theory of dynamical systems , typicality, absolute and relative rudeness ^[10] ( structural stability );
• multidimensional dynamics (including the dynamics of a multidimensional solid) in non-conservative force fields ^[11] ;
• differential and topological diagnostics , problems of differential diagnostics in diagnostic spaces;
• theory of fractals , dynamic systems on fractals;
• fractal geometry and its applications in the analysis of certain physical and chemical processes in heterogeneous systems ;
• mathematical logic and computer science ;
• discrete mathematics , applications of the theory of discrete functions.

Introduced the concept of a dynamic system with variable dissipation (with zero or nonzero mean). It is also known for finding a number of cases of integrability of multidimensional dynamical systems with variable dissipation in transcendental (in the sense of the theory of functions of a complex variable ) elementary functions ( first integrals ). In particular, he integrated explicitly the well-known problem of the motion of a spherical pendulum placed in the flow ^{[12] of the} incoming medium.

He made a significant ^[13] contribution to the dynamics of a multidimensional solid in a non-conservative force field (a number of authors have studied the dynamics of a multidimensional solid in potential force fields - see, for example, the works of S. P. Novikov ^[14] , C. V. Manakova , O. I. Bogoyavlensky , A. P. Veselov ), into the dynamics of systems with dissipation on the tangent bundle of a smooth multidimensional manifold , as well as into the general theory of integrable dynamical systems with dissipation.

He co-authored with N. L. Polyakov a complete classification of symmetric classes of choice functions on r- element subsets of an arbitrary finite set with the Arrow property. This result strengthens the Shelach theorem on the Arrow property and is a generalization of the Arrow impossibility theorem. Also obtained are combinatorial theorems related to the theory of collective choice. These theorems describe fairly general conditions under which the problem of preserving a set of preferences by an arbitrary aggregation rule can be reduced to similar problems for two specific aggregation rules: majority rules and counting rules.

He has published over 550 publications, of which 12 are monographs.

Prepared 6 candidates of sciences and 1 doctor of sciences .

Included in the Top 100 most cited Russian scientists according to RSCI .

Included in the list of experts of the innovative project "Corps of Experts" .

Candidate master of sports in athletics ( hurdling , decathlon ).

Engaged in winter swimming or winter swimming since the fall of 2013 .

Married to Anna Pavlovna Shamolina ( 1999 , nee Isaeva, born 1976 ), has a daughter Anastasia.

• The first prize of young scientists of the Institute of Mechanics of Moscow State University named after M.V. Lomonosov (1994).
• Leonard Euler Medal for Young Mathematicians (Society for Applied Mathematics and Mechanics ( GAMM )) (1995).
• The first prize of young scientists of Moscow State University named after M.V. Lomonosov (1996).
• Winner of grants of the President of the Russian Federation for young doctors of sciences (2005, 2006).
• Honorary Member of the American Biographical Institute (ABI).
• Commemorative medal "300 years to Mikhail Vasilievich Lomonosov " (2011).
• Corresponding Member of the Russian Academy of Natural Sciences (RAE) (2012).
• Order of Labore Et Scientia (Labor and Knowledge, European Scientific and Industrial Consortium , 2013).
• Full member of the Russian Academy of Natural Sciences (RAE) (2014).
• Medal "European scientific and industrial consortium - Wilhelm Leibnitz ", ("Wilhelm Leibniz", European Scientific and Industrial Consortium , 2014).
• Gold medal named after V.I. Vernadsky (RAE) (2014).
• Order of Alexander the Great (“For scientific victories and achievements”, European Scientific and Industrial Consortium , 2015).

Monographs

• Shamolin M.V. Some problems of differential and topological diagnostics. 1st ed. - M .: Publishing house "Exam", 2004. - S. 1-256. - ISBN 5-94692-748-5 .
• Shamolin M.V. Some problems of differential and topological diagnostics. 2nd ed., Revised and supplemented. - M .: Publishing house "Exam", 2007. - S. 1-320. - ISBN 978-5-377-00761-6 .
• Shamolin M.V. Methods of analysis of dynamic systems with variable dissipation in the dynamics of a rigid body. - M .: Publishing house "Exam", 2007. - S. 1—352. - ISBN 5-472-02476-5 .
• Shamolin M. V. Higher mathematics (series "Textbook for high schools"). - M .: Publishing House "Exam", 2008. - S. 1-912. - ISBN 978-5-377-01452-2 .
• Shamolin M.V. Dynamical systems with variable dissipation: approaches, methods, applications // Fund. and adj. mat. 2008.V. 14. Vol. 3. - S. 3–237 (journal monograph).
• Trofimov V.V., Shamolin M.V. Geometric and dynamic invariants of integrable Hamiltonian and dissipative systems // Fund. and adj. mat. 2010.V. 16. Vol. 4. - S. 3—229 (journal monograph).
• Shamolin MV The variety of integrability cases in the dynamics of a small and multidimensional rigid body in a non-conservative field of forces / Itogi Nauki i Tekhniki. Ser. “Modern mathematics and its applications. Thematic reviews. " T. 125. M.: VINITI, 2013. S. 5-254 (journal monograph).
• Shamolin M.V. Integrable systems with variable dissipation on the tangent bundle to the multidimensional sphere and applications // Fund. and adj. mat. 2015.V. 20. Issue. 4. - S. 3—231 (journal monograph).
• Shamolin M.V. Small-sized and multi-dimensional pendulums in a non-conservative field. Part 1 / Results of science and technology. Ser. “Modern mathematics and its applications. Thematic reviews. " T. 134. M.: VINITI, 2017. S. 6—128 (journal monograph).
• Shamolin M.V. Small-sized and multi-dimensional pendulums in a non-conservative field. Part 2 / Results of science and technology. Ser. “Modern mathematics and its applications. Thematic reviews. " T. 135. M.: VINITI, 2017. S. 3-93 (journal monograph).
• Shamolin M.V. Modern sections of mathematics in an accessible presentation. Part I. - Lambert Academic Publishing, 2018. - S. 1-351. - ISBN 978-3-659-58396-4 .
• Shamolin M.V. Integrable dynamical systems with dissipation. Kn 1: A solid in a non-conservative field. - M .: LENAND, 2019 .-- S. 1-456. - ISBN 978-5-9710-6772-6 .

Articles

• Samsonov V.A. , Shamolin M.V. On the problem of body motion in a resisting medium // Tomsk State University Journal. Mosk. un-that. Ser. 1. Mathematics. Mechanics. 1989. No. 3. - S. 51-54.
• Shamolin M.V., Existence and uniqueness of trajectories having infinitely distant points as limit sets for dynamical systems on the plane // Tomsk State University Journal. Mosk. un-that. Ser. 1. Mathematics. Mechanics. 1993. No. 1. - S. 68-71.
• Shamolin M.V. Classification of phase portraits in the problem of the motion of a body in a resisting medium in the presence of a linear damping moment // Prikl. mat. and fur. 1993.V. 57. Issue. 4. - S. 40-49.
• Borisenok I.T., Shamolin M.V. Solution of the differential diagnostic problem by the method of statistical tests // Tomsk State University Journal. Mosk. un-that. Ser. 1. Mathematics. Mechanics. 2001. No. 1. - S. 29-31.
• Shamolin, M.V., On an Integrable Case in the Spatial Dynamics of a Solid Interacting with a Medium, Izvestiya RAN. MTT. 1997. No. 2. - S. 65-68.
• Shamolin M.V. Comparison of cases of complete integrability in the dynamics of a two-dimensional, three-dimensional, and four-dimensional rigid body in a non-conservative field // Modern Mathematics and its Applications. 2012.V. 76: Geometry and mechanics. - S. 84-99.
• Polyakov N. L., Shamolin M. V. On a generalization of Arrow's theorem // Doklady RAN . 2014.V. 456. No. 2. - P. 143-145.
• Shamolin M.V. Multidimensional pendulum in a non-conservative force field // Doklady RAS . 2015.Vol. 460. No. 2. - P. 165-169.
• Shamolin M.V. Modeling the motion of a rigid body in a resisting medium and analogies with vortex paths // Matem. modeling . 2015.Vol. 27. No. 1. - P. 33-53.
• Shamolin M.V. Integrable non-conservative dynamical systems on a tangent bundle to a multidimensional sphere // Differ. equations . 2016.V. 52. No. 6. - S. 743-759.
• Shamolin M.V. Integrable systems with variable dissipation on a tangent bundle to a sphere // Problems Mat. analysis . 2016. Issue. 86. - S. 139-151.
• Shamolin M.V. Modeling the spatial effects of the medium on a conical body // Siberian Journal of Industrial Mathematics . 2018.Vol. 21. No. 2 (74). - S. 107-113.
• Polyakov N.L., Shamolin M.V. On dynamic aggregation systems // Proceedings of the I. G. Petrovsky Seminar . 2019.V. 32 .-- S. 257–282.
• Shamolin M.V., Krugova E.P. The problem of diagnosing a gyrostabilized platform model // Itogi Nauki i Tekhniki. Ser. Lying. mat. and her adj Theme. review 2019.Vol. 160 .-- S. 137—141.

• Website of the Institute of Mechanics, Moscow State University
• Site "Scientists of Russia"
• Profile of M.V. Shamolin on the website of Moscow State Pedagogical University
• Profile of M.V. Shamolin at the All-Russian Mathematical Portal
• Profile of M.V. Shamolin in the system TRUE MSU
• Congratulations on the 50th anniversary on the website of the Faculty of Mechanics and Mathematics of Moscow State University
• Congratulations on the 50th anniversary of the website of the Moscow State Pedagogical University
• Congratulations on your 50th birthday on behalf of the International Research Journal located on VK
• Congratulations on the 50th anniversary of the journal "Results of Science and Technology. Series" Contemporary Mathematics and Its Applications. Thematic Reviews ""