*L*-functions, and have studied exponential sums related to cusp forms and

*ϑ*-functions of lattices.

I am also very interested in spectral theory in contexts such as analytic number theory, inverse spectral and scattering theory and arithmetic quantum chaos. In particular, I have studied non-scattering energies, transmission eigenvalues and shape identification.

Besides research, I have been involved a lot in the Finnish mathematical olympiad training, teaching problem solving to secondary and upper secondary school students and organizing competitions, among other activities. I am also proud to be a member of the editorial board of the mathematics magazine Solmu, to which I regularly contribute popular articles.