Research
Research Interests (Keywords):
Scaling limits of discrete random objects
Discrete stochastic processes
Random permutations, particularly pattern-avoiding permutations
Bootstrap percolation and related growth models arising from statistical mechanics
Asymptotic analysis of algorithms
Papers (with links to arxiv preprints)
Published:
Pattern-avoiding permutations and Brownian excursion, Part I: shapes and fluctuations (w/ Christopher Hoffman and Douglas Rizzolo in Random Structures and Algorithms, 2016)
Pattern-avoiding permutations and Brownian excursion, Part II: fixed points (w/ Christopher Hoffman and Douglas Rizzolo in Probability Theory and Related Fields, 2016)
Fixed points of 321-avoiding permutations (w/ Christopher Hoffman and Douglas Rizzolo in Proceedings of the American Mathematical Society, 2018)
Local limit of the fixed point forest (w/ Tobias Johnson and Anne Schilling in Electronic Journal of Probability, 2017)
The threshold for jigsaw percolation on random graphs (w/ Béla Bollobás, Oliver Riordan, and Paul Smith in Electronic Journal of Combinatorics, 2017)
Neighborhood growth dynamics on the Hamming plane (w/ Janko Gravner and David Sivakoff in Electronic Journal of Combinatorics, 2017)
Asymptotic distribution of fixed points of pattern-avoiding involutions (w/ Samuel Miner and Douglas Rizzolo in Discrete Mathematics & Theoretical Computer Science, 2017)
The bullet problem with discrete speeds (w/ Brittany Dygert, Matthew Junge, Christoph Kinzel, Annie Raymond, and Jennifer Zhu in Electronic Communications in Probability, 2019)
Maximal spanning time for neighborhood growth on the Hamming plane (w/ Janko Gravner and J.E. Paguyo in SIAM Journal on Discrete Mathematics, 2019)
Expected size of a tree in the fixed point forest (w/ Samuel Regan in Discrete Mathematics & Theoretical Computer Science, 2019)
Square permutations are typically rectangular (w/ Jacopo Borga in Annals of Applied Probability [accepted] 2020)
Submitted:
Time scales of Fredricks0n-Andersen model on polluted Z2 and Z3 (w/ Assaf Shapira, 2019)
Almost square permutations are typically square (w/ Jacopo Borga and Enrica Duchi, 2021)
Preprint:
Scaling limits of permutations avoiding long decreasing sequences (w/ Christopher Hoffman and Douglas Rizzolo 2020)
Selected Talks
Invited:
Amherst - January 2020
JMM Special Session on Analytic and Probabilistic Combinatorics - Jan 16, 2020
Dartmouth Math Society (Undergraduate) - October 2019
Dartmouth College Combinatorics Seminar - September 2019
University of Warwick - May 2019
Journeé Cartes at Paris XIII - April 2019
Iowa State University Colloquium - March 2019
CALIN University of Paris XIII Combinatorics Seminar - October 2018
IRIF University of Paris VII Probability Seminar - November 2018
Modal'X Probability Seminar - November 2019
ICJ/UMPA Probability Seminar - November 2018
American University of Paris (Undergraduate) - October 2018
CUNY Probability Seminar - October 2018
Duke University Probability Seminar - October 2018
AMS Sectional Meeting Delaware - September 29-30th, 2018
Howard Colloquium - September 2018
George Washington University Combinatorics Seminar - September 27th, 2018
International Vilnius Conference on Probability Theory, Lithuania - July 2018
LPSM University of Paris VII - October 2017
UC Davis probability seminar - February 2017
Institut Henri Poincaré - January 2017
USC Probability Seminar - March 2016
Penn/Temple Probability Seminar - January 2016
Dartmouth Colloquium - January 2016
AMS Sectional Meetings Special Session on Discrete Stochastic Processes, Michigan State University - March 2015
BAD Math Day, Stanford - September 2015
Contributed:
Permutation Patterns, Dartmouth - July 2018
Permutation patterns, Reykjavik University, - June 2017
World Congress in Probability and Statistics, Toronto - July 2016
Permutation Patterns, Howard University, - June 2016
JCDCGG 2015, University of Kyoto - September 2015
Lattice Path Combinatorics Conference, Cal State Polytechnic Pomona, - August 2015
Stochastic Processes and Analysis, Oxford, - July 2015
Permutation Patterns, London, - June 2015
Conference Organizing:
Seminar Organizing:
UC Davis Mathematical Physics and Probability Seminar- Spring 2015.