Contact Information
Email: zacharyselkmath at proton dot me
About Me
Dean's Postdoctoral Scholar, Florida State University. 2025-Present.
Coleman Assistant Professor, Queen's University, 2022-2025.
Ph.D in Mathematics, Purdue University, 2016 - 2022. Advisers: Ben McReynolds and Harsha Honnappa
I am a mathematician working on stochastic ordinary and partial differential equations, rough paths theory, Malliavin calculus, large deviations, applications of stochastic analysis to physics, Gaussian measure theory and analytic number theory.
Publications and Preprints
Onsager-Machlup for \Phi_d^4. With Ioannis Gasteratos. In preparation.
Stochastic Calculus for the Theta Process With Francesco Cellarosi.
Stochastic Solutions for Hyperbolic PDE [Journal] With Abdol-Reza Mansouri. J. Stoch. Anal. 2024.
Rough Paths above Weierstrass Functions [Journal] With Francesco Cellarosi. C. R. Math. Acad. Sci. Paris. 2024.
The Small-Noise Limit of the Most Likely Element is the Most Likely Element in the Small-Noise Limit [Journal] With Harsha Honnappa. ALEA Lat. Am. J. Probab. Math. Stat. 2024.
A Feynman-Kac Type Theorem for ODEs: Solutions of Second Order ODEs as Modes of Diffusions With Harsha Honnappa.
Large Deviations for High Minima of Gaussian Processes with Nonnegatively Correlated Increments [Journal] Statist. Probab. Letters, 2024.
Information Projection on Banach spaces with Applications to State Independent KL-Weighted Optimal Control [Journal]
With William Haskell and Harsha Honnappa. Appl. Math. Optim., 2021.
With Yanghui Liu and Samy Tindel. Ann. Inst. Henri Poincaré Probab. Stat., 2023.
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