Complex Analysis.
Mathematical Physics.
Differential Geometry.
Conformal and quasiconformal mappings.
Free boundary problems of fluid mechanics.
Teichmüller spaces.
Optimal control methods.
Biography
Previous appointments:
Professor, Departamento de Matemática, Universidad Técnica Federico Santa María, Valparaíso, Chile 2000–2005.
Professor, Departamento de Matemáticas, Universidad de los Andes, Bogotá, Colombia 1998–2000.
Professor in Math. Analysis, Department of Math. and Mech. Saratov State University 1997–1998.
Associate Professor in Math. Analysis, Department of Math. and Mech. Saratov State University 1991–1997.
Lecturer in Math., Department of Math., Saratov Institute of Agricultural Mechanization 1988–1991.
Post-doc stay, Department of Mathematics, Fudan University, Shanghai, China 1992–1993.
Post-graduate student, Department of Math. and Mech., Saratov State University, Russia 1984–1987.
Networks
European Network "Harmonic and Complex Analysis and Applications" of the European Science Foundation (2007–2012) (Coordinator).
Nordic Network "Analysis and Applications" by NordForsk (2008–2011) (deputy coordinator).
CIMPA-REALMA European-Latin American network in applied mathematics (University of Bergen representative).
Awards
1994 Souslin Prize (award of The Souslin Foundation, European Union Net in Mathematics EmNet/NIS).
1998 Award of the President of the Russian Federation (President Grant for young doctors).
Professional Membership
Member of the American Mathematical Society since 1992.
Member of the Chilean Mathematical Society since 2000.
Editorial Boards
Taiwanese Journal of Mathematics (member of the editorial board).
Scientia. Series A. Mathematical Sciences (member of the editorial board).
Analysis and Mathematical Physics, Birkhäuser (editor) starting 2011.
Editor of special volumes in analysis and mathematical physics.
Visitings
1992/93 Institute of Mathematics, Fudan University, Shanghai, China
1993 Peking University, China
1998 Technische Univarsitaet Berlin, Germany
1999 Universidad del Valle, Cali, Colombia
1999 University of Nottingham, UK
2002 Mittag-Leffler Institute, Sweden
2002 Kungliga Tekniska Högskolan, Sweden (twice)
2002 Linköping University, Sweden
2002 Uppsala University, Sweden
2002 Lund University, Sweden
2002 University of Nottingham, UK
2002 Oxford University, UK
2003 Technion, Israel Institute of Technopogy, Israel
2004 University College Dublin, Ireland
2004 Kungliga Tekniska Högskolan, Sweden
2006 Universidad de Sevilla, Spain
2007 Kungliga Tekniska Högskolan, Sweden
2007/08 National Center for Theoretical Sciences, National Tsing Hua University, Taiwan
2007 Los Alamos National Laboratory, USA
2007 Georgetown University, Washington DC, USA
2007 University of South Florida, Tampa, USA
2007 Banff International Research Station, Canada
2009 Bar Ilan University, Israel
Invited lectures at several international conferences.
Main publications:
A.Vasil'ev: Moduli of families of curves for conformal and quasiconformal mappings. - ISBN 3-540-43846-7, Lecture Notes in Mathematics, vol. 1788, Springer-Verlag, Berlin- New York, 2002, 212 pp.
B.Gustafsson, A.Vasil'ev: Conformal and potential analysis in Hele-Shaw cells. - ISBN 3-7643-7703-8, Birkhduser Verlag, 2006, 231 pp.
B.Gustafsson, A.Vasil'ev: Analysis and Mathematical Physics. - ISBN: 978-3-7643-9905-4, Trends in Mathematics, Birkhäuser Verlag, 2009, 514 pp.
M. V. Pavlov, D. V. Prokhorov, A. Yu. Vasiliev, A. M. Zaharov, “Löwner evolution and finite-dimensional reductions of integrable systems”, TMF, 181:1 (2014), 155–172; Theoret. and Math. Phys., 181:1 (2014), 1263–1278
Yu. E. Hohlov, D. V. Prokhorov, A. Yu. Vasil'ev, “On geometrical properties of free boundaries in the Hele–Shaw flows moving boundary problem”, Lobachevskii J. Math., 1 (1998), 3–12
A. Yu. Vasil'ev, “Invariant metrics and harmonic functionals on the Teichmüller space”, Algebra i Analiz, 9:1 (1997), 49–70; St. Petersburg Math. J., 9:1 (1998), 33–48
A. Yu. Vasil'ev, G. N. Kamyshova, “Approximately differentiable transformations and change of variables on nilpotent groups”, Sibirsk. Mat. Zh., 37:1 (1996), 60–69; Siberian Math. J., 37:1 (1996), 53–61
A. Yu. Vasiliev, “Harmonic properties of the modulus of a family of curves, and invariant metrics on a Teichmüller space”, Dokl. Akad. Nauk, 341:5 (1995), 583–584
A. Yu. Vasiliev, “The optimal control method in an extremal problem in a class of solutions of the Löwner–Kufarev equation”, Differ. Uravn., 26:3 (1990), 386–392; Differ. Equ., 26:3 (1990), 280–284
11.
A. Yu. Vasil'ev, S. I. Fedorov, “Application of the method of moduli in an extremal problem of conformal mapping”, Izv. Vyssh. Uchebn. Zaved. Mat., 1990, no. 8, 13–22; Soviet Math. (Iz. VUZ), 34:8 (1990), 13–22
1988
12.
A. Yu. Vasil'ev, “Variational methods and isoperimetric covering theorems for univalent functions”, Izv. Vyssh. Uchebn. Zaved. Mat., 1988, no. 1, 14–18; Soviet Math. (Iz. VUZ), 32:1 (1988), 14–19
A. Yu. Vasiliev, “The set of values $\{f(r_1),f(r_2)\}$ in the class of univalent functions with real coefficients”, Sibirsk. Mat. Zh., 27:6 (1986), 28–32; Siberian Math. J., 27:6 (1986), 806–810
I. A. Aleksandrov, A. Yu. Vasil'ev, M. M. Lavrent'ev, A. V. Sychev, “Vasilii Vasil'evich Chernikov (obituary)”, Uspekhi Mat. Nauk, 52:6(318) (1997), 143–144; Russian Math. Surveys, 52:6 (1997), 1281–1282
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