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 Unpublished.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
Spring 2013
Instructor for Math 308J/K, Matrix Algebra.
Fall 2012, Winter 2013
Lead TA
Winter 2012
Tutor in the Math Study Center.
Supervisor: Patrick Perkins
Fall 2011
TA Mentor
TA for Math 124, Calculus I.
Instructor: Ken Bube.
Summer 2011
Instructor for Math 308F, Matrix Algebra.
Winter 2011
Instructor for Math 308H, Matrix Algebra.
Fall 2010
TA Mentor
TA for Math 124, Calculus I.
Instructor: Dave Collingwood.
Summer 2010
Instructor for Math 124, Calculus I.
Spring 2010
TA for Math 124, Calculus I.
Instructor: Alexandra Nichifor.
Fall 2009-Winter 2010
TA for Math 544-545, Topology and Geometry of Manifolds.
Instructor: Ethan Devinatz.
Fall 2008
TA for Math 124, Calculus I.
Instructor: Soumik Pal.