Toby Johnson

I am a graduate student in mathematics at the University of Washington. I'm originally from New York, and I also spent two years living in Hungary. Besides math, I love food and cooking, especially pickling.

Research

I'm interested in probability and combinatorics. My advisors are Ioana Dumitriu and Soumik Pal. Please see my CV for more information.

Papers

• Cycles and eigenvalues of sequentially growing random regular graphs (with Soumik Pal). Submitted.
• Exchangeable pairs, switchings, and random regular graphs. Submitted.
• Functional limit theorems for random regular graphs (with Ioana Dumitriu, Soumik Pal, and Elliot Paquette). To appear in Probability Theory and Related Fields.
• On universal cycles for multisets (with Glenn Hurlbert and Josh Zahl). Discrete Math., 309::5321-5327, 2009. (Written as an undergraduate.)
• Cache-Oblivious Traversals of an Array's Pairs. Unpublished. (This was my undergraduate senior project, done under the supervision of Dan Spielman.)

Some other things

I gave a talk on Latex at the Current Topics seminar. Here are examples from the talk, as well as the tex source for them.

Teaching