I am currently
Chairman
of the Department of Mathematics at the New Mexico Institute of Mining
and Technology, where my primary responsibilities include managing
department resources, serving as a liaison between the department and
the executive administrators and representing the department and the
institution to external bodies.
I am a tenured
full
Professor of Mathematics. I have received my PhD from Moscow State
University in 1987 in Theoretical and Mathematical Physics and began my
academic career as a Research Scientist at the Research Institute for
Physics of Rostov State University. I have also been awarded a Russian
academic degree of the Senior Research Scientist in 1993, which is
roughly equivalent to the rank of the Associate Professor.
In 1989 in a
national
competition I have won a DAAD (German Academic Exchange Program)
Research Scholarship and spent one year (19891990) at the University
of Karlsruhe and the MaxPlanck Institute for Physics in Germany. I was
one of the first few people to receive the DAAD Scholarschip in Russia.
Also, in 1991, I was one of the first academics in Russia who got a
research Grant from the Russian government for the next three years.
In 1993 in a
worldwide
competition I have won the prestigious AlexandervonHumboldt Research
Fellowship (Germany) and spent the next three years working at the
University of Greifswald in Germany. In 1995 I was invited by the
National Institute for Nuclear Physics and the University of Naples in
Italy to spend a semester presenting a series of advanced lectures and
collaborating on a research project. My lectures were so popular among
students that my lecture notes were stolen from the institute library.
In 1996, together with my German collaborator, I secured a Grant of the
Deutsche Forschungsgemeinschaft (German Science Foundation) to continue
working at the University of Greifswald for another two years.
In 1997 I came to
the
US, first, as a Visiting Assistant Professor at the University of Iowa,
and since 1999 as an Associate Professor of Mathematics at the New
Mexico Institute of Mining and Technology with an early tenure in 2002;
I became Full Professor in 2005 and Chairman in 2013. Also, I should
mention that I became a naturalized US citizen in 2005 as an Alien of
Extraordinary Abilities.
I am an
accomplished
researcher with more than 20 years of research experience in physics
and mathematics and a research program that spans such areas as global
analysis, geometric analysis, mathematical physics, spectral geometry,
differential geometry, quantum field theory, quantum gravity and
financial mathematics. My publication record is extensive: I have more
than 60 publications, among others, two books and more than 50 refereed
papers. My papers are cited more than 1439 times in Google Scholar with
one paper cited more than 208 times. I was an invited keynote and
plenary speaker at several conferences. I organized Special Sessions of
the American Mathematical Society; I was an Adviser of a summer school
and a member of scientific and program committees of several
international conferences.
I am a leading
world
expert in so called heat kernel methods with an established
international reputation. This is evidenced, in particular, by the fact
that in 2007 I was invited by the Head of Research and Development of
the NATIXIS Corporate and Investment Bank in Paris, France, to present
a series of lectures for their quantitative analysts on the application
of analyticand geometric methods for modeling various derivative
products in finance. Currently, an expanded version of these lectures
``Heat Kernel Method and Its Applications in Finance'' is under review
with the Cambridge University Press.
I am an Associate
Editor of eight journals and a referee for more than 20 journals. I
reviewed grant proposals for funding agencies, such as National Science
Foundation, U.S. Civilian Research & Development Foundation and
foreign governments as well as book proposals for publishing companies.
I have extensive
teaching experience at various schools from a small public engineering
school to a large public research university. I have taught a wide
range of courses at both undergraduate and graduate level. I am
constantly improving my teaching, developing new courses, trying new
textbooks, new methods, new formats, new technology and innovative
styles of teaching to create a strong learning environment for students
that stresses academic excellence. In particular, I always implement my
own cuttingedge research into my graduate classes. The success of
these projects is evidenced by my teaching evaluations. I have been the
adviser of graduate students, at both PhD and MS level, in mathematical
physics and mathematics.
I organized a
number of
new seminars, which became very popular, and encouraged students to
form the collaborative graduatelevel study group. Also, I was the lead
person on the new graduatestudent collaborative learning space of the
Mathematics Department equipped with the cuttingedge modern
communication and presentation technology. I am committed to the
education and wellbeing of students in and out of classroom. For
example, I have scheduled an evening class to avoid scheduling
conflicts of the students and to include as many students as possible.
I understand very
well
the magnitude of challenges the higher education faces today. My
teaching, research and administrative experience has given me a broad
view of education and I believe that I could contribute to the solution
of these challenges. As far as I remember myself, I always liked facing
and overcoming challenges by identifying resources available, building
up an appropriate infrastructure and creating new opportunities. As you
can see from my career, I am that kind of an ambitious person who sets
challenging goals by "raising the bar" and actually performs better
under pressure.
