Ilya Losev
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I am currently a PhD student in mathematics at the University of Cambridge,
where my supervisor is James Norris.
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Research Interests
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My research is mainly focused on problems related to probability theory, statistical physics and quantum field theories. I am studying probabilistic models that come from mathematical physics, and I am interested in questions related to the description of their large-scale or large-time (for stochastic processes) behaviour. |
Publications
- Large Deviations of the Schwarzian Field Theory;
- Probabilistic Correlation Functions of the Schwarzian Field Theory;
- Probabilistic Definition of the Schwarzian Field Theory (with R. Bauerschmidt and P. Wildemann);
- How long are the arms in DBM?
(with S. Smirnov);
Communications in Mathematical Physics, Volume 406, Issue 4, 2025. - Jacobi matrices with lacunary spectrum
Journal of Mathematical Analysis and Applications, Volume 503, Issue 1, 2021.
Talks
- Mathematical Physics Seminar, University of Sussex, February 2025.
- Probability and analysis informal seminar, Institut des Hautes Études Scientifiques, December 2024.
- Lie Groups and Moduli Spaces (Mini Course) , University of Geneva, December 2024.
- Stochastic Analysis Seminar, University of Oxford, November 2024.
- Sapienza Probability Seminar, Sapienza University of Rome, March 2024.
- Cambridge Probability Seminar, University of Cambridge, October 2023.
- Phase Transitions and Correlated Random Processes, Isaac Newton Institute, May 2023.
- Probability and Mathematical Physics Conference (poster), University of Helsinki, July 2022.
- 7th SwissMAP General Meeting (poster), SwissMAP, August 2020.
- SwissMAP Site Visit (poster), online, June 2020.
- Emergent Trends in Complex Function Theory Workshop, Centre de Recerca Mathemàtica, October 2019.
- Spectral Function Theory, St. Petersburg State University, April 2019.