Interests
Broadly speaking, I am interested in algebraic topology and homotopy theory.
I am currently working on configuration spaces and their homotopy type. This study is highly motivated by
molecular biology: the goal is to extend classical results from configuration spaces so that we can apply them
to our biological setting.
In the past, I have worked on the machinery behind homological stability, with a focus on symmetric groups and
mapping class groups of surfaces. I now study the harmonic compactification of the mapping class group of
Riemann surfaces via Sullivan diagrams.
ii.
Quantum Science & Engineering
I study the application of quantum algorithms to topological data analysis (TDA). Recent papers show
how quantum computers can be used to compute Betti numbers in persistent homology.
During my master's I focused on quantum algorithms, mainly Variational Quantum Eigensolvers. Using Riemannian
geometry and Lie group theory, I showed that many VQEs are derived from the same equation, just under a
different perspective.
The latest results in quantum computing have shifted my interests toward quantum error correction,
fault-tolerant quantum computers, and post-quantum cryptography.
