My research is in discrete mathematics, mainly extremal and probabilistic combinatorics as well as intersections of combinatorics and statistical physics.
People
My co-authors include Bhargav Narayanan, Stijn Cambie, Bradley McCoy, Gunjan Sharma, Stephan Wagner, Quentin Dubroff, António Girão, Eoin Hurley, Charlie Carlson, Ewan Davies, Nicolas Fraiman, Alexandra Kolla, Aditya Potukuchi, Maria Anaya, Olga Anipchenko-Ulaj, Aisha Ashfaq, Joyce Chiu, Mahedi Kaiser, Max Ohsawa, Megan Owen, Ella Pavlechko, Katherine St. John, Shivam Suleria, Keith Thompson, Alana Huszar, Erin McNicholas, Jeff Schreiner-McGraw, and Colin Starr.
Papers
- Reconstructing Random Pictures, with Bhargav Narayanan. Submitted.
- Trees Maximizing the Number of Almost-Perfect Matchings, with Stijn Cambie, Bradley McCoy, Gunjan Sharma, and Stephan Wagner. Submitted.
- Tower Gaps in Multicolour Ramsey Numbers, with Quentin Dubroff, António Girão, and Eoin Hurley.
– Forum of Mathematics: Sigma, 11 (2023): E84. [doi] [arXiv]
– Extended abstract in Proceedings of European Conference on Combinatorics, Graph Theory, and Applications (EUROCOMB’23). - Algorithms for the Ferromagnetic Potts Model on Expanders, with Charlie Carlson, Ewan Davies, Nicolas Fraiman, Alexandra Kolla, and Aditya Potukuchi. Extended abstract in Proceedings of 2022 IEEE 63rd Annual Symposium on Foundations of Computer Science (FOCS).
- Simplicial Homeomorphs and Trace-Bounded Hypergraphs, with Jason Long and Bhargav Narayanan. Discrete Analysis, July 2022.
Here’s a short blog post by Gil Kalai about this paper. - Properties for the Frechet Mean in Billera-Holmes-Vogtmann Treespace, with Maria Anaya, Olga Anipchenko-Ulaj, Aisha Ashfaq, Joyce Chiu, Mahedi Kaiser, Max Ohsawa, Megan Owen, Ella Pavlechko, Katherine St. John, Shivam Suleria, and Keith Thompson. Advances in Applied Mathematics, Vol. 120, Sept 2020. [doi] [arXiv]
- Unipancyclic Matroids, with Alana Huszar, Erin McNicholas, Jeff Schreiner-McGraw, and Colin Starr. Discrete Mathematics, Vol. 342(8) August 2019, p. 2254-2269.
- On Determining if Tree-Based Networks Contain Fixed Trees, with Maria Anaya, Olga Anipchenko-Ulaj, Aisha Ashfaq, Joyce Chiu, Mahedi Kaiser, Max Ohsawa, Megan Owen, Ella Pavlechko, Katherine St. John, Shivam Suleria, and Keith Thompson. Bulletin of Mathematical Biology, Vol. 78(5) May 2016 p. 961–969. [doi] [arXiv]
Expository Writing
- ISM Summer School, lecture notes on “Intersections of Statistical Physics and Combinatorics”
Recent Talks/Visits
- Sept 9-10: TetFest60 (attendee)
- Aug 2023: Emory University Discrete Math Seminar (speaker)
- June 2023: ISM Summer School for undergraduates, Montreal (lecturer)
- May 2023: 8th Lake Michigan Workshop on Combinatorics and Graph Theory (speaker)
- May 2023: University of Delaware Discrete Math Seminar
- April 2023: AMS Central Sectional Meeting, Cincinnati (session on Extremal Graph Theory)
- Feb. 2023: CRM-ISM Montreal Probability Seminar
- Jan. 2023: JMM in Boston
- Dec. 2022: Carnegie Mellon ACO Seminar
- Oct. 2022: Georgia Tech Combinatorics Seminar
- Oct. 2022: AMS Western Sectional Meeting, Salt Lake City (session on Topics in Graphs, Hypergraphs, and Set Systems)
- July/Aug 2022: Cornell Probability Summer School (TA)
- June 2022: AMS MRC on Trees in Many Contexts
- May 2022: BIRS Cross-Community Collaborations in Combinatorics workshop
- May 2022: Student Symposium in Combinatorics (online)
- Apr. 2022: Iowa State University Discrete Math Seminar
- Apr. 2022: New York Combinatorics Seminar (online)
- Mar. 2022: Graduate Student Combinatorics Conference (online)
- Feb. 2022: Rutgers Discrete Math Seminar
- Oct. 2021: Rutgers Discrete Math Seminar
- Sept. 2021: UIC Combinatorics and Probability Seminar
- Sept. 2021: AWM We Speak Series, 7-minute Lightning Talks
- Apr. 2021: Graduate Student Combinatorics Conference (20-minute talk)
- Mar. 2021: UIC Combinatorics and Probability Seminar
- Mar. 2021: Webinar in Additive Combinatorics
- Mar. 2021: Oxford Discrete Math and Probability Seminar
- Jan. 2021: Extremal and Probabilistic Combinatorics Webinar
Bonus: here are some pictures from places I’ve been
Videos of Talks
On Algorithms for the Ferromagnetic Potts Model on Expanders:
- an hour-long plenary talk for the Student Symposium in Combinatorics, aimed at a general audience
Youtube link
On New Stepping-Up Lemmas for Multicolored Hypergraphs:
- a 50-minute talk for the Iowa State University Discrete Math Seminar
Youtube link
On Reconstructing Random Pictures:
- a 20-minute talk for the Graduate Student Combinatorics Conference, aimed at a general audience.
Youtube link
On Simplicial Homeomorphs and Trace-Bounded Hypergraphs:
- a 7-minute talk for the AWM We Speak Series, aimed at a general audience
Youtube link - a 50-minute talk for the Oxford Discrete Math and Probability Seminar
Youtube link
Bonus: slides from my dissertation defense