Diophantine equations via the circle method
Theme: Number Theory Supervisor: Tim Browning |
The Manin conjecture in dimension 2
Theme: Number Theory Supervisor: Tim Browning |
Rigidity phenomena in dynamical systems
Theme: Ergodic Theory and Dynamical Systems Supervisor: Alexander Gorodnik |
Ergodic theorems for actions of large groups
Theme: Ergodic Theory and Dynamical Systems Supervisor: Alexander Gorodnik |
Dynamical systems and Diophantine geometry
Theme: Ergodic Theory and Dynamical Systems Supervisor: Alexander Gorodnik |
Properties of self-similar sets
Theme: Ergodic Theory and Dynamical Systems Supervisor: Thomas Jordan |
Almost modular functions and distribution modulo one
Theme: Number Theory Supervisor: Jens Marklof |
Function spaces, spectral theory and exceptional sets
Theme: Analysis and Partial Differential Equations Supervisor: Yuri Netrusov |
Modular representation theory of finite groups
Theme: Representation Theory Supervisor: Jeremy Rickard |
Discrete geometry and geometric measure theory
Theme: Number Theory Supervisor: Misha Rudnev |
Representation of quivers
Theme: Representation Theory Supervisor: Aidan Schofield |
Logic, set theory, and foundations of mathematics
Theme: Logic and Set Theory Supervisor: Philip Welch |
Geometric properties of Wiener sausages
Theme: Analysis and Partial Differential Equations Supervisor: Michiel van den Berg |