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Current Research Interests

My research lies at the boundary of probability theory and partial differential equations, in the area of heat kernel analysis. I am particularly interested in the study of heat kernels, elliptic and parabolic PDE, and corresponding stochastic processes, in "unusual" settings such as sub-Riemannian manifolds, infinite dimensional spaces, and abstract structures such as Dirichlet spaces.

I have written a research statement (PDF) with a more detailed description.


My papers are published under my full name, Nathaniel Eldredge.

Ph.D. Dissertation

Other writings


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