Acting Assistant Professor, Department of Mathematics, University of Washington
nforman (at) uw [dot] edu
Spring 2018 - Math 426: Measure theory.
Fall 2017 - Math 394: Probability I.
Spring 2017 - Math 324: Advanced multivariable calculus.
Winter 2017 - Math 582G: Continuum random trees.
I study combinatorial stochastic processes: combinatorial topics and methods, within probability theory. In particular, I have worked on:
I have an ongoing project, in collaboration with Soumik Pal, Doug Rizzolo, and Matthias Winkel, to resolve a 1999 conjecture of David Aldous regarding the existence a continuum-tree-valued diffusion with certain properties. This project includes the following papers, preprints, and works in progress:
Here is a cool simulation of a process that I constructed in joint work with Soumik Pal, Douglas Rizzolo, and Matthias Winkel. The simulation was created by Rey Chou, Alex Forney, and Chengning Li, under the supervision of myself and Gerandy Brito.
- continuum random trees,
- path transformations and decompositions, and
- fluctuations and excursions of LÚvy processes.
I earned a B.A. in mathematics and physics from Oberlin College in May of 2008, with highest honors in mathematics. I completed a Ph.D. in mathematics at the UC Berkeley in December of 2013, supervised by Jim Pitman. My dissertation studied a path transformation and fluctuations of random walks and Brownian motion. From 2014-2016 I worked with Matthias Winkel at Oxford, studing stochastic processes on the space of real trees (or continuum random trees).
University of Washington
Department of Mathematics
Seattle, WA 98195-4350