Approximations of functions in one variable and multivariable cases (approximations by polynomials, n-widths, optimal cubature formulas). Integral operators (estimates of singular numbers, approximation numbers, bilinear approximation of kernels of these operators).
Biographical Profile
College
McCausland College of Arts and Sciences
Department
Mathematics
Tenure Status
Tenured
Interest Background
Do you include students in your research?
None
Professional Preparation(Education & Training)
Dates
Institution
Location
Degree
Field of Study
1976
Moscow Institute of Physics and Technology
M.S.
1981
Steklov Institute of Mathematics
Dr. Hab
1978
Steklov Institute of Mathematics
Ph.D
Positions & Appointments
Dates
Description
Institution/Entity
1978 - 1992
Steklov Institute of Mathematics, Scientist, Leading Scientist
1979 - 1992
Moscow Inst. of Physics and Technology, Assistant, Associate Professor, Professor
1992 - 1995
USC, Dept. of Mathematics Associate Professor
1995 - 2007
USC, Dept. of Mathematics Professor
2003
USC Educational Foundation Research Award for Science, Mathematics and Engineering
2007
USC, Dept. of Mathematics Carolina Distinguished Professor
Carolina Distinguished Professor
University of South Carolina
Recognition Awards, Honors, & Fellowships
Dates
Type
Description
Foundation/Entity
1976
Award
Gold Medal for Best Student Paper in USSR
1979
Award
Outstanding Publication Award, Steklov Institute (Moscow, USSR)
1989
Award
Outstanding Publication Award: Soviet Academy of Science
1989
Award
Silver Medal in the Exhibition of the National Economic Achievement
1990
Award
Premium for Research in Mathematics, Soviet Academy of Science
1996
Award
NSF Grant DMS-9622925, Multivariate Approximation
1997
Award
Best Paper Award, J. Complexity
1999
Award
NSF Grant DMS-9970326, Algorithms in Nonlinear Approximation
2000
Award
Invited Hour Speaker, American Mathematical Society, Birmingham, AL
2002
Award
NSF Grant DMS-0200187, Greedy Approximation
2003
Award
USC Educational Foundation Research Award for Science, Mathematics and Enginnering
University of South Carolina
2005
Award
Invited Hour Speaker, Foundations of Computational Mathematics, Santander, Spain
2006
Award
NSF Grant, Greedy Approximations and Expansions, $116,917.00
2006
Award
Invited Hour Speaker, Curves and Surfaces, Avignon, France
2006
Award
Invited forty-five minute lecture in the section Analysis of the International Congress of Mathematicians, Madrid, Spain
2009
Award
NSF Grant, CMG COLABORATIVE RESEARCH: Advanced Computational Models for Geological Storage of Carbon Dioxide, $300,000.00 (with A. Celia and Hong Wang)
2009
Award
NSF Grant, Application of Greedy Approximations in Numerical Integration and Learning Theory, $196,567.00
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