My research is on the birational classification of algebraic varieties, in particular in unusual sitations such as positive and mixed characteristic. The basis of this classification is a partly conjectural algorithm called the log minimal model program. I am interested in proving the exitence of the program in these situations, and also in investigating how the varieties it produces differ from those in characteristic zero.
I am co-organiser of Princeton algebraic geometry seminar
In Fall 2018 I will be teaching Multivariable Calculus MAT201.