I work in finite and profinte group theory, with a focus on finite p-groups, their structure, geometry, and associated counting functions. I am extremely fascinated by isomorphism problems and inverse problems.
"Orders and Polytropes: Matrix Algebras from Valuations", with Y. El Maazouz, M. A. Hahn, G. Nebe, B. Sturmfels - submitted, preprint (2021).
"Valued rank-metric codes", with Y. El Maazouz, M. A. Hahn, A. Neri - submitted, preprint (2021)
"Orbits classifying extensions of prime power order groups", with O. Garaialde Ocaña - submitted, preprint (2020).
"Toric varieties from cyclic matrix groups", with F. Galuppi - submitted, preprint (2020).
"Cryptographic multilinear maps using pro-p groups", with D. Kahrobaei - to appear in Advances in Mathematics of Communications (2021+), preprint (2021).
"On the Modular Isomorphism Problem for groups of class 3 and obelisks", with L. Margolis - to appear in Journal of Group Theory (2021+), preprint (2020).
"Intense automorphisms of finite groups" - to appear in Memoirs of the American Mathematical Society (2021+), preprint (2017).
"Hessian matrices, automorphisms of p-groups, and torsion points of elliptic curves", with C. Voll - Math. Ann. (2021), preprint (2019).
- "Evolving groups" - Arch. Math. 111, 3–12 (2018), preprint (2017).
I am a postdoctoral researcher at RWTH Aachen University, in the group of Gabriele Nebe, and a guest at the Max Planck Institute for Mathematics in the Sciences Leipzig, in the Nonlinear Algebra group of Bernd Sturmfels. My position is funded by the SFB-TRR 195 Symbolic Tools in Mathematics and their Application.
I obtained my PhD from Leiden University in September 2017: my dissertation, with title "Intense automorphisms of finite groups", was supervised by Hendrik Lenstra. After my PhD, from 2017 to 2020, I have been a postdoctoral researcher in the group of Christopher Voll at Bielefeld University. In 2019, I have joined the group of Bernd Sturmfels at the MPI MiS Leipzig.