Interests
Mathematics
Broadly speaking I am interested in algebraic topology. I have done some projects to understand the machinery behind on homological stability, where I focused on symmetric groups and mapping class groups of surfaces. Now I work on the harmonic campactification of the mapping class group of Riemann surfaces via Sullivan diagrams.
Quantum Science and Engineering
During my master I focused on quantum algorithms, mainly on Variational Quantum Eigensolvers. I used Riemannian geometry and Lie group theory to see that many VQEs are derived from the same equation, just under a different perspective.
The latest results in quantum computing shifted my interests to quantum error correction, fault-tolerant quantum computers and post-quantum cryptography.
Research
Publications
- Finite groups as homotopy self-equivalences of finite spaces, GJM, Volume 9, Issue 2 (2024), 15-21 (Journal link).
Projects
Talks
- Riemannian Geometry of VQA, QIC Group Meeting EPFL, January 9th 2025
- Homological stability of mapping class groups, Topology Workshop EPFL, January 7th 2025
- Spectral sequences for homological stability, Topology Reading Group EPFL, November 27th 2024
- Quillen's small object argument, Topology Reading Group, October 30th 2024