Complex hyperbolic geometry investigates spaces that combine the subtleties of complex structures with non‐Euclidean, negatively curved metrics, offering rich terrain for both theoretical exploration ...

Arithmetic geometry, at its core, investigates the rich interplay between number theory and geometry. In the context of unitary groups—algebraic groups defined as the symmetries of Hermitian forms—the ...

George Daniel Mostow, a Yale professor emeritus renowned for his contributions in geometry, has been awarded a 2013 Wolf Foundation Prize, one of the top international awards for mathematicians.

In mathematics, ubiquitous objects called groups display nearly magical powers. Though they’re defined by just a few rules, groups help illuminate an astonishing range of mysteries. They can tell you ...

Vol. 358, No. 1765, Science into the Next Millenium: Young Scientists Give Their Visions of the Future: II. Mathematics, Physics and Engineering (Jan., 2000), pp. 89-109 (21 pages) A search for the ...

Current areas of research in Bristol include finite and algebraic groups, simple groups and geometric group theory. Representation theory, in its broadest sense, is the art of relating the symmetries ...