Teaching

Present:
Math 67 (Modern Linear Algebra)

Math 135 (Probability)

Past:
Math 146 (Algebraic Combinatorics)

Math 180 (Pursuit Games on Graphs)

Math 147 (Topology)

Math 125A (Real Analysis)

Math 21D (Vector Calculus)

Research Interests

Probabilistic Combinatorics
Pattern-Avoiding Permutations
Bootstrap Percolation
Jigsaw Percolation
Pursuit Games
Random Graphs
Random Combinatorial objects


Preprints

Pattern Avoiding Permutations and Brownian Excursion Part I: Shapes and Fluctuations [accepted, Random Structures and Algorithms]
(with Christopher Hoffman and Douglas Rizzolo)

Pattern Avoiding Permutations and Brownian Excursion Part II: Fixed Points [accepted, Probability Theory and Related Fields]
(with Christopher Hoffman and Douglas Rizzolo)


Neighborhood growth dynamics on the Hamming plane [submitted]
(with Janko Gravner and David Sivakoff)

Local limit of the fixed point forest [submitted]
(with Tobias Johnson and Anne Schilling)

The bullet problem with discrete speeds[submitted]
(with Brittany Dygert, Matthew Junge, Christoph Kinzel, Annie Raymond, and Jennifer Zhu)

Fixed points of 321-avoiding permutations [submitted]
(with Christopher Hoffman and Douglas Rizzolo)

Bootstrap percolation on the Hamming torus with threshold 2[submitted]

Threshold for jigsaw percolation on random graphs [submitted]
(with Bela Bollobas, Oliver Riordan, and Paul Smith)

CV

CV (PDF)

Selected Talks

Upcoming

Past

"The local limit of the fixed point forest"
World Congress in Probability and Statistics, Toronto July 2016

"Fixed points of 321-avoiding permutations and Galton-Watson trees"
Permutation Patterns, Howard University, June 2016

"Pattern Avoidance and Brownian Excursion"
USC Probability Seminar, March 2016

"Bootstrap Percolation on the Hamming Torus"
Penn/Temple Probability Seminar, January 2016

"Pattern Avoidance and Brownian Excursion"
Dartmouth Colloquium, January 2016

"Fixed Points of Pattern-avoiding permutations."
Lattice Path Combinatorics Conference, Cal State Polytechnic Pomona, August 2015

"Bootstrap Percolation on the Hamming Torus."
Stochastic Processes and Analysis, Oxford, July 2015

"Pattern-Avoiding Permutations and Brownian Excursion"
Permutation Patterns, London, June 2015

"Jigsaw Percolation on Erdos-Renyi Random Graphs"
AMS Sectional Meetings Special Session on Discrete Stochastic Processes, Michigan State University, March 2015

"Pattern-Avoiding Permutations and Brownian Excursion"
BAD Math Day, Stanford, September 2015

Organizational Activities and Outreach

Founded the Harmon Johnson Elementary Math Circle

BAD Math 33 Lead Organizer Fall 2016
Davis-Warwick Probability Workshop Co-Organizer Dec. 2015
UC Davis Mathematical Physics and Probability Seminar, Spring 2015

Currently Reading

Nothing...


Recent Movies (That I Enjoyed)

Adventures in Babysitting
Star Wars


Misc