Curriculum Vitae
Olga Brezhneva
400 Lind
Hall, 207 Church St. SE
Minneapolis, MN 55455
Phone: (612) 626-1855
E-mail: olga@ima.umn.edu
EDUCATION & DEGREES
Nov. 2000 - Ph.D. in Mathematics,
Computer Center of Russian Academy of Sciences.
Thesis: "The Construction of Methods for Solving Degenerate
Problems on the Basis of Factor-Analysis of Nonlinear Mappings"
June 1990 - MS in Applied Mathematics, Moscow
State University, Russia.
Department of Computational Mathematics and Cybernetics.
Diploma with Excellence (Summa Cum Laude).
Thesis: "One Method for Solving a Boolean Equation and its
Application to Discrete Optimization Problems"
PROFESSIONAL EXPERIENCE
Since 09/2002 -
Institute for Mathematics and its Applications, University of Minnesota
- Postdoctoral Associate
- Constructing methods for solving nonlinear equations
with the ill-conditioned Jacobian matrix (in collaboration with Professor
Hans Weinberger, University of Minnesota);
- Constructed a generalized pattern search algorithm for linearly constrained minimization in the presence of degeneracy (in collaboration with Professor John E. Dennis Jr., Rice University);
- Obtained new optimality conditions and methods for degenerate constrained
optimization problems (in collaboration with Professor Alexey Tret'yakov, University of Podlasie in Siedlce, Poland);
Submitted and published 5 articles.
1997 - 2002 - Russian Academy of Sciences, Computer Center,
Dept. of Nonlinear Analysis Methods - Research Fellow
Constructed numerical methods for
solving degenerate systems of nonlinear equations and nonlinear
constrained optimization problems.
Worked with Prof. Alexey Tret'yakov
on development of the theory of Factor-Analysis of Nonlinear Mappings.
Obtained new optimality conditions for nonregular problems and a theorem
about solvability of the Cauchy Problem for the first-order PDE in
the degenerate case (with Prof. Tret'yakov). Submitted and published 10 articles and one monograph.
1993-1996 - Russian Academy of
Sciences, Institute of High-Performance Computer Systems, Department
of Applied Mathematics - Jr. Research Fellow
Designed and implemented numerical optimization algorithms.
1990-1993
- Russian Academy of Sciences, Institute of Cybernetics Problems, Dept. of Numerical Analysis - Jr. Research Fellow
Constructed methods
for solving discrete optimization problems and applied these methods
in industry.
RESEARCH FIELDS
Nonlinear
constrained optimization problems, optimality conditions, nonlinear
analysis, degenerate problems, numerical analysis.
GRANTS
99-01-00472 (1999) - Methods
for solving nonlinear degenerate problems, Russian Foundation for Basic
Research, (with Karmanov V.G., Tret’yakov A.A., co-PI)
00-01-00294 (2000) - New methods and models for solving nonlinear
problems with approximate information, Russian Foundation for Basic
Research (with Tret’yakov A.A. co-PI)
01-01-00810 (2001) - Singular solutions of nonlinear problems:
theory, numerical methods and applications, Russian Foundation for
Basic Research (with Izmailov A.F. co-PI)
AWARDS & HONORS
1990 - Graduated with "Excellence" Diploma (Summa
cum Laude) from Moscow State University (top 10% of the class)
1990 - 2nd
place, MS Thesis Competition
1989 - 2nd
place, Course Work competitions
1988, 1989 -
Lenin Undergraduate Fellowship (top 1% in the class of 400)
1987 - Joliot-Curie Undergraduate Fellowship
(top 1% in the class of 400)
1985 - Graduated from High School with
Gold Medal (Russian Governmental Award)
INVITED TALKS & SEMINARS
O.A.Brezhneva
Methods for finding singular solutions to nonlinear problems
Applied Mathematics nad Numerical Analysis Seminar joint with Computational
Optimization Seminar
School of Mathematics, University of Minnesota, November 7, 2002.
O.A.Brezhneva
Methods for solving nonlinear equations with degeneracies
P.D.E. Seminar
School of Mathematics, University of Minnesota, October 9, 2002.
O.A.Brezhneva, A.A.Tret'yakov
Factor-analysis of nonlinear optimization problems
Fifth SIAM Conference on Control and Its Applications, San Diego,
July 11, 2001.
O.A.Brezhneva, A.A.Tret'yakov
Higher-order necessary conditions for optimality
IASTED International Conference on Control and Applications, Banff,
Alberta, Canada , June 27, 2001.
O.A.Brezhneva, A.A.Tret'yakov
Factor-methods for solving singular nonlinear problems
World Conference on Distributed Systems: Optimization and Economic
- Environmental Applications (DSO’2000), Ekaterinburg, Russia, May 2000
O.A.Brezhneva
The theory of $p$--regularity (factor-analysis of nonlinear mappings):
results, methods, and applications
University of Podlasie, Dept. of Mathematics and Physics, Siedlce,
Poland, November 1999, April 2000, May 2001
O.A.Brezhneva
An approach to finding singular solutions to systems of nonlinear
equations
Russian Academy of Sciences, Computer Center, Dept. of
Nonlinear Analysis Methods, Moscow, Russia,
December 1999, September
2000
O.A.Brezhneva
The construction of methods for solving degenerate nonlinear problems
Moscow
State University, Dept. of Computational
Mathematics and Cybernetics, Moscow, Russia, Fall 2000
TEACHING EXPERIENCE
Fall 2003 - Lecturer for Multivariable Calculus (Calculus III),
School of Mathematics, University of Minnesota.
1998-2001 - Supervised and consulted graduate students
of Moscow State University during their practice at Computer Center
of Russian Academy of Sciences. Nonlinear programming, Functional Analysis.
1986-1989 - A teacher for Evening Math Classes for Gifted
High School Students (an outreach program of the Department of Applied
Mathematics and Cybernetics, Moscow State University). Algebra, Calculus,
Analytical Geometry at the undergraduate level.
Member of SIAM