Ph.D. Candidate in Mathematics
Email: zselk at purdue dot edu
Office: MATH 1046
Ph.D in Mathematics, Purdue University, 2016 - Current. Advisers: Harsha Honnappa and Ben McReynolds.
B.S. in Mathematics with Minor in Physics, University of California at Davis, 2014.
My research interests are in probability theory and applied probability theory. In particular, I am interested in stochastic differential equations, rough paths theory, Malliavin calculus, large deviations theory, stochastic control and stochastic optimization. I am a member of Stochastic Systems Lab led by Harsha Honnappa.
Publications and Preprints
Yifei Zheng and Zachary Selk, submitted. arXiv:2107.09440
Zachary Selk and Harsha Honnappa, submitted. arXiv:2106.08525
Zachary Selk, submitted. arXiv:2103.04501
Zachary Selk, William Haskell and Harsha Honnappa. Appl. Math. Optim., 2021.
Yanghui Liu, Zachary Selk and Samy Tindel. Minor revision at Ann. Inst. Henri Poincaré Probab. Stat.
Zachary Selk. Undergraduate Thesis advised by Dirk Deckert.
Work in Progress
Effective Projections of Probability Measures to Convex Submanifolds
Zachary Selk, William Haskell and Harsha Honnappa
Connecting Freidlin-Wentzell and Onsager-Machlup functionals
Zachary Selk and Harsha Honnappa
Continuous Time Pathwise Control with Rough Paths
Harsha Honnappa, Zachary Selk and Zihe Zhou
Mean Curvature Flow and Stochastic Control
Hengrong Du and Zachary Selk