I have a wide range of interests. In undergrad I worked stochastic simulation of jump processes with applications to mathematical biology. Then I spent three years learning algebra, algebraic topology, and category theory in grad school. When I switched to applied mathematics, I got interested in using interacting particle systems to numerically solve kinetic equations such as Fokker-Planck and Landau equations. In 2024 I got interested in mathematical underpinnings of deep learning, as well as its applications to practical problems such as sampling. Additionally, I have been working with the interactive proof assistant Lean, leading undergraduent research projects and a special topic course on Lean.
2025 | Community and Mentorship Through the Experimental Lean Lab (talk at JMM) | abstract We share lessons we've learned in building community and mentoring undergraduate research projects in Lean.
2025 | RealEdit: Reddit Edits As a Large-scale Empirical Dataset for Image Transformations (submitted to CVPR) A dataset and diffusion generative model to perform arbitrary image edits. The first global edit model trained on real data.
2025 | Deterministic sampling with adaptive score based transport modeling (first author, talk at JMM) | abstract An algorithm for deterministic sampling by integrating the Fokker-Planck equation using particles.
2024 | Transport based particle methods for the Fokker-Planck-Landau equation (first author, submitted to CMS) | pre-print An algorithm for simulation of plasma using a neural network, inspired by score-based generative modeling.
2024 | Extending JumpProcesses.jl
for fast point process simulation with time-varying intensities | paper An algorithm to efficiently simulate any point process on the real line with a continuous intensity rate.
2023 | Catalyst: fast biochemical modeling with Julia (PLOS Comp Bio) | paper Julia library for modeling and high-performance simulation of chemical reaction networks.
In my free time I do rock bouldering and calisthenics. I also like reading popular science books: some my favorites are "How to Hide an Empire" and "The Sixth Extinction."
email: vasilin97@gmail.com
Google Scholar: Vasily Ilin
Github: vilin97
CV: Resume