I am interested in growth and combinatorial problems in groups that involve the following ingredients: simple counting arguments; metric inequalities imposing non-positive curvature conditions such that Gromov’s inequality or Behrstock’s inequality; and geometric small cancellation theory. One of the goals of my research is to understand better some collections of exponential growth rates for groups acting properly with a contracting element and groups acting acylindrically on hyperbolic spaces. I am also interested in monster groups.
My CV can be found here. This year I am applying for positions.