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Nov 5, 2005, 5:52:39 AM11/5/05

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Quantum Mathematics at UCR

The Department of Mathematics at the University of California,

Riverside is seeking qualified students interested in a graduate

degree - especially in the subject of "quantum mathematics".

"Quantum mathematics" is shorthand for math that arises from work

on quantum mechanics, quantum field theory, quantum gravity and

string theory. This work connects traditionally distinct branches

of mathematics in new and interesting ways. Areas within quantum

mathematics include quantum groups, affine Lie algebras, vertex

operator algebras, higher categories, quantum invariants of knots

and manifolds, and the relation between number theory and quantum

mechanics. Some knowledge of physics is a plus for students working

in these areas.

Faculty working on quantum mathematics at UCR include:

Marta Asaeda - operator algebras and low-dimensional topology

John Baez - mathematical physics, especially quantum gravity and n-categories

Vyjayanthi Chari - Lie theory, especially affine Lie algebras and

quantum groups

Jacob Greenstein - representation theory, especially affine Lie algebras

and quantum groups

Michel Lapidus - fractals, especially their relation to number theory

via zeta functions

Xiao-Song Lin - topology, especially quantum invariants of knots and

3-manifolds

Feng Xu - operator algebras, especially vertex operator algebras

If you're interested, you can learn more here:

Check out the faculty and their research areas, and see how to apply.

Applications are due by January 5th.

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