I am a mathematician, with broad interests in geometry and analysis.
So far I have mainly worked on L2 Lefschetz fixed point theorems and Morse inequalities for Hilbert complexes associated to Dirac type operators on stratified pseudomanifolds, working out applications in mathematics and mathematical physics, and have several projects extending this work further. 

I am also working on other topics related to gauge theory, and the analysis of Schrodinger operators in various settings.

More on my research. zbmath. https://orcid.org/0009-0004-2642-8600