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Chairperson
Dr. Benzion Boukai
Ph: (317) 274-6920
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Mathematical Sciences
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Spotlight on Spotlight on Pavel Bleher - Feb/Mar 2008
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Growing Up:
Prof. Pavel Bleher grew up in Moscow, Russia and started studying mathematics
at a young age. When he was 12 years old, he took part in his first mathematical
Olympiad, and from that point on you could say he was "hooked." He attended a
high school specializing in mathematics in Moscow, where he learned Calculus,
Real and Complex Analysis, Linear and Abstract Algebra, Probability and
Combinatorics, and Classical and Quantum Mechanics. While in high school he
began his first foray into the world of mathematical research and continued his
participation in various mathematical and physical Olympiads. In fact, he was a
winner in the National Russian Mathematical Olympiad, an achievement that earned
him a spot on the 1965 Russian team for the
International Mathematical Olympiadi, which took place in Berlin that year.
He remembers the competition as being very exciting...even more so when he won
First prize! After being accepted to Moscow State University, he immediately
started working further on mathematical research and attended special mathematical
seminars.
Education:
Prof. Bleher received his undergraduate degree in mathematics from Moscow State
University. In 1974 he completed his Ph.D. at The Keldysh Institute of Applied
Mathematics of the USSR Academy of Sciences under the direction of Prof. Yakov
Sinai (now at Princeton), studying the "Renormalization group and critical
phenomena in the Dyson hierarchical models of statistical mechanics." In 1984 he
completed his habilitation at Vilnius State University in Lithuania, defending his
dissertation titled "Limit theorems for sums of strongly dependent random variables."
(The habilitation is earned after the Ph.D. and requires the candidate to write a
second dissertation, reviewed by and defended before an academic committee. In the
United States there is no precise equivalent for this award.)
Current Research:
Prof. Bleher's current research falls in the areas of mathematical physics,
probability theory, and dynamical systems. In general, he is interested in
mathematical problems which have physical background. Of this class of problems,
he is most interested in mathematical problems originating in statistical mechanics,
quantum mechanics, quantum gravity, and classical and quantum chaos. Recently he
has been working on the theory of random matrix models, which are directly related
to exactly solvable models of statistical mechanics and quantum gravity, and
random polynomials, which are related to the physical theory of quantum chaos.
The Making of a Mathematician:
Clearly, Prof. Bleher knew from a very early age that he liked solving difficult
mathematical problems (and was good at it!). He's continued to do so throughout
his career and still finds his work extremely enjoyable.
The Most Rewarding Career Experience:
Some of Prof. Bleher's most rewarding experiences occurred in 1992-1993, when he
resided at the Institute for Advance Study in Princeton, and in 1999 when he
organized a Special Program, together with Alexander Its (also of IUPUI), on
"Random Matrices and Their Applications" at the Mathematical Sciences Research
Institute (MSRI) in Berkeley, California. He's also looking forward to the
year-long Special Program on "Probabilistic Methods in Mathematical Physics" in
Montreal, from June 2008 through June 2009, which he is currently organizing
together with his colleagues John Harnad (Concordia University and CRM, Montreal)
and Steve Zelditch (Johns Hopkins University).
Advice for Math Majors:
Prof. Bleher's advice for math students includes "Solve difficult mathematical
problems!" and "Work on your own mathematical research projects." A great way to
start solving more difficult problems is to compete in math competitions, including
local competitions like the Indiana College Mathematics Contest (ICMC) and national
competitions like the Putnam.
Working with Students:
Interacting with students is a very important part of Prof. Bleher's work and he
truly enjoys it. For him, the most interesting and rewarding work is supervising
mathematical research projects. He also wishes for all our undergraduate and
graduate students to be successful in mathematics because it can be a very rewarding
and enjoyable career.
Surprises About Being a Mathematician:
Prof. Bleher is continually surprised by how much his work is both interesting and
enjoyable.
The Mathematical Community:
When Prof. Bleher moved to the United States in the early nineties, he met several
people who had also participated in the International Mathematical Olympiad in Berlin
in 1965. Among them was another esteemed IUPUI math Professor, Michal Misiurewicz,
who won First prize a year later and was a member of the Polish national team. Later
he met Luchko Avramov, a member of the Bulgarian team, who was formerly a Professor
at Purdue University, and now is a Distinguished Professor at the University of
Nebraska. He also encountered Dan Voiculescu, a renowned mathematician from UC
Berkeley, who was a member of the Romanian team, Henryk Iwaniec (Rutgers
University), a member of the Polish team, and a few others. The math world is
really quite small!
Courses Frequently Taught:
MATH 544/545 Real Analysis I, II
MATH 163/164/261/262 Calculus/Differential Equations
MATH 598 Advanced Course in Probability and Statistical Mechanics
MATH 491 Competitive Mathematical Solving
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Indianapolis)
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