Microsoft Research

Theory Group

One Microsoft Way

Redmond, WA 98052

jmiller@microsoft.com

I am a post-doctoral researcher in the Theory Group at Microsoft Research; my mentor is Yuval Peres.  During the summer of 2010, I was an intern at D.E. Shaw & Co in New York City working in the convertible arbitrage group.  I was a research intern with the Theory Group at Microsoft Research working with Yuval Peres in the summer of 2009.  My thesis advisor in the math department at Stanford University was Amir Dembo.  My research interests are in probability, in particular stochastic interface models (random surfaces and SLE), random walk, mixing times for Markov chains, and interacting particle systems.

Recent and Upcoming Articles:

1. 1.Uniformity of the Uncovered Set of Random Walk and Cutoff for Lamplighter Chains (with Y. Peres)
   

2. 2.Fluctuations for the Ginzburg-Landau Model on a Bounded Domain
   

3. 3.Universality for SLE(4)
   

4. 4.Painting a Graph with Competing Random Walks
   

5. 5.Uniform Mixing Time for Random Walk on Lamplighter Graphs (with J. Komjathy and Y. Peres)
   

6. 6.Imaginary Geometry I: Interacting SLEs (with S. Sheffield)
   

7. 7.Imaginary geometry II: reversibility of SLE_kappa(rho_1;rho_2) for kappa in (0,4) (with S. Sheffield)
   

8. 8.Imaginary geometry III: reversibility of SLE_kappa for kappa in (4,8) (with S. Sheffield)
   

9. 9.CLE(4) and the Gaussian Free Field (with S. Sheffield)
   

Last Updated: 1-10-2012

An SLE(128) process from the top to the bottom of the square generated using the Gaussian free field