Undergraduate projects (articles indicated were the direct result from the work)
Miguel Gama,
Pólya's conjecture and Dirichlet and Neumann eigenvalues
(bii GFM 2024)
P. Freitas and M. Gama, On the (growing) gap between Dirichlet and Neumann eigenvalues.
Indiana Univ. Math. J.
to appear (2026)
arXiv preprint
Vasco Reigadas, The Gauss circle problem (pic 2023)
Bernardo Vaz Silva, The Borsuk-Ulam theorem and some of its applications (pic 2023)
Rui Zhu Wang,
Weyl’s law and Pólya’s conjecture
(novos talentos Gulbenkian 2022/23)
P. Freitas and R. Z. Wang, Pólya’s conjecture on S^1 x R.
arXiv preprint
José Cunha, On the determinant of the Laplacian on the n-sphere
(pic 2022)
J. Cunha and P. Freitas, Recurrence formulae for spectral determinants
J. Number Theory
267 (2025), 134-175
Nuno Carneiro, Mellin transforms and asymptotic expansions (novos talentos Gulbenkian 2021/22)
Alexandre Cabral, Rugby trajectories: the inverse problem (pic 2018)