Algebra and Number Theory RTG
RTG Algebra and Number Theory at UCLA, 2009-2014
Algebra, algebraic geometry and number theory are central areas
of mathematics, based on the interplay between algebraic formulas and geometric intuition. Many of the most spectacular recent developments
in mathematics rely on unexpected combinations of algebraic
and geometric ideas. Examples include Kontsevich's proof
of Witten's conjecture on the moduli space of curves, Voevodsky's proof
of the Milnor conjecture relating K-theory and Galois cohomology,
and Khare-Wintenberger's proof of Serre's conjecture on modularity
of Galois representations.
The group at UCLA in algebra, algebraic geometry, number theory,
and related fields
includes many distinguished researchers. It was ranked #5 nationally
in 2014 in US News and World Report's Best Graduate Schools.
Its members have a broad range
of research interests including algebraic groups, algebraic cycles,
representation theory, modular and automorphic forms, Galois representations,
analytic number theory, string theory, model theory, combinatorics
and cryptography. In addition to the strength of its researchers,
the group has a long and successful history of training mathematicians.
The RTG grant (DMS-0838697) from the National Science Foundation
has as its main goal to increase the number of US citizens
and residents who study algebra, algebraic geometry, number theory,
and related fields. The grant funds graduate students and postdoctoral
scholars at UCLA, as well as workshops and other activities.
Please use the links at the top of this page to learn about our programs.