Nicolai Reshetikhin
Encyclopedia
Nicolai Yuryevich Reshetikhin ' onMouseout='HidePop("27327")' href="/topics/Leningrad">Leningrad
, USSR) is a mathematical physicist
, currently a professor of mathematics at the University of California, Berkeley
and a professor of mathematical physics at the University of Amsterdam. His research is in the fields of low-dimensional topology
, representation theory
, and quantum groups. His major contributions are in the theory of quantum integrable systems, in representation theory of quantum groups
and in quantum topology
. He and Vladimir Turaev constructed invariants of 3-manifolds
which are expected to describe quantum Chern-Simons field theory introduced by Edward Witten
.
He earned his bachelor's degree
and master's degree
from Leningrad University in 1982, and his Ph.D.
from the Steklov Mathematical Institute in 1984.
Leningrad
Leningrad is the former name of Saint Petersburg, Russia.Leningrad may also refer to:- Places :* Leningrad Oblast, a federal subject of Russia, around Saint Petersburg* Leningrad, Tajikistan, capital of Muminobod district in Khatlon Province...
, USSR) is a mathematical physicist
Mathematical physics
Mathematical physics refers to development of mathematical methods for application to problems in physics. The Journal of Mathematical Physics defines this area as: "the application of mathematics to problems in physics and the development of mathematical methods suitable for such applications and...
, currently a professor of mathematics at the University of California, Berkeley
University of California, Berkeley
The University of California, Berkeley , is a teaching and research university established in 1868 and located in Berkeley, California, USA...
and a professor of mathematical physics at the University of Amsterdam. His research is in the fields of low-dimensional topology
Low-dimensional topology
In mathematics, low-dimensional topology is the branch of topology that studies manifolds of four or fewer dimensions. Representative topics are the structure theory of 3-manifolds and 4-manifolds, knot theory, and braid groups. It can be regarded as a part of geometric topology.A number of...
, representation theory
Representation theory
Representation theory is a branch of mathematics that studies abstract algebraic structures by representing their elements as linear transformations of vector spaces, and studiesmodules over these abstract algebraic structures...
, and quantum groups. His major contributions are in the theory of quantum integrable systems, in representation theory of quantum groups
and in quantum topology
Quantum topology
Quantum topology is a branch of mathematics that connects quantum mechanics with low-dimensional topology.Dirac notation provides a viewpoint of quantum mechanics which becomes amplified into a framework that can embrace the amplitudes associated with topological spaces and the related embedding of...
. He and Vladimir Turaev constructed invariants of 3-manifolds
which are expected to describe quantum Chern-Simons field theory introduced by Edward Witten
Edward Witten
Edward Witten is an American theoretical physicist with a focus on mathematical physics who is currently a professor of Mathematical Physics at the Institute for Advanced Study....
.
He earned his bachelor's degree
Bachelor's degree
A bachelor's degree is usually an academic degree awarded for an undergraduate course or major that generally lasts for three or four years, but can range anywhere from two to six years depending on the region of the world...
and master's degree
Master's degree
A master's is an academic degree granted to individuals who have undergone study demonstrating a mastery or high-order overview of a specific field of study or area of professional practice...
from Leningrad University in 1982, and his Ph.D.
Doctor of Philosophy
Doctor of Philosophy, abbreviated as Ph.D., PhD, D.Phil., or DPhil , in English-speaking countries, is a postgraduate academic degree awarded by universities...
from the Steklov Mathematical Institute in 1984.