>>11413909The Department of Pure Mathematics and Mathematical Statistics (DPMMS) at Cambridge has a large number of faculty, postdocs and graduate students, with active research groups across the spectrum of mathematics. Strengths include:
algebra (group theory, representation theory);
algebraic geometry (higher-dimensional algebraic geometry, algebraic cycles, abelian varieties, mirror symmetry, geometric aspects of representation theory);
analysis (geometric analysis, PDEs, mathematical relativity, discrete analysis);
category theory (logic, proof theory, topos theory, higher-dimensional category theory)
combinatorics (random structures, combinatorial number theory, Ramsey theory, graph theory)
differential geometry (dynamics, low-dimensional topology and knot theory, gauge theory, Riemannian geometry, symplectic topology);
number theory (algebraic number theory, Iwasawa theory, computational number theory);
probability and statistics (including financial mathematics, operational research, stochastic methods, transport and networking problems).
only category theory seems interesting
which one will you orbit?
http://www.dpmms.cam.ac.uk/people/students 
