I am an Assistant Professor at the Institute for Theoretical Physics of the University of Cologne. Information about my group can be found at the group webpage. My CV is available on request. My primary e-mail address is mkastoryano_at_gmail_dot_com.
My research lies somewhere at the intersection of quantum information theory, condensed matter physics and mathematical physics. During my PhD I studied on the one hand the problem of quantum Markov chain mixing (rigorously bounding how fast a quantum channel converges to stationarity), and on the other, protocols of dissipative state preparation. Since then my interests have shifted a bit more towards condensed matter physics and fault-tolerance. In particular I have worked a lot on designing and analyzing quantum Gibbs sampling algorithms and on various problems in quantum error correction and fault-tolerance theory. Recently, I have been getting very interested in the the phenomenon of bulk-boundary correspondence (and Holography) using tools from the theory of tensor networks. I also dabble with problems relating to machine learning.
I was born in Paris (France), but grew up in Geneva (Switzerland). I hold a Swiss, French and American passport, and speak 5 languages fluently (English, French, Danish, German and Spanish). Since graduating from High School (Matu), I have been incessantly moving around, spending five years in the US (Boston & New Haven), 6 years in Denmark (Copenhagen) and 3 years in Germany (Berlin).