I co-organize the UVa Probability seminar.

I am founder of and coordinate activities for Women in Probability.

I am faculty coordinator for the UVa Math Ambassadors.

All course materials for classes I am teaching may be found on the UVa Collab course page.

My research interests intersect probability, geometry, and analysis. More particularly, they include infinite-dimensional analysis, Gaussian measures and processes, stochastic differential equations on Lie groups (and sometimes more general manifolds), Markov processes and semigroups, differential operators and hypoellipticity theory. My articles on arXiv.

Associate Professor

Department of Mathematics

University of Virginia

Charlottesville, VA 22903 USA

Tel: (434) 982-2782

Fax: (434) 982-3084

Office: 205 Kerchof

E-mail: melcher "at" virginia.edu