My research is in discrete mathematics, mainly extremal and probabilistic combinatorics as well as intersections of combinatorics and statistical physics.
People
My collaborators have included Bhargav Narayanan, Stijn Cambie, Bradley McCoy, Stephan Wagner, Charlie Carlson, Ewan Davies, Nicolas Fraiman, Alexandra Kolla, Aditya Potukuchi, Quentin Dubroff, António Girão, Eoin Hurley, Megan Owen, Ella Pavlechko, Katherine St. John, Alana Huszar, Erin McNicholas, and Colin Starr.
Preprints
- Fast and Slow Mixing of the Kawasaki Dynamics on Bounded-Degree Graphs, with Aiya Kuchukova, Marcus Pappik, and Will Perkins. Submitted.
- 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.
Publications
- Algorithms for the Ferromagnetic Potts Model on Expanders, with Charlie Carlson, Ewan Davies, Nicolas Fraiman, Alexandra Kolla, and Aditya Potukuchi. To appear in Combinatorics, Probability and Computing.
[doi][arXiv]
Extended abstract in Proceedings of 2022 IEEE 63rd Annual Symposium on Foundations of Computer Science (FOCS). - Bounding Mean Orders of Sub-k-Trees of k-Trees, with Stijn Cambie, Bradley McCoy, and Stephan Wagner. The Electronic Journal of Combinatorics, 31(1), P1.62 (2024). [doi] [arXiv]
- Tower Gaps in Multicolour Ramsey Numbers, with Quentin Dubroff, António Girão, and Eoin Hurley. Forum of Mathematics: Sigma, 11:E84 (2023).
[doi] [arXiv]
Extended abstract in Proceedings of European Conference on Combinatorics, Graph Theory, and Applications (EUROCOMB’23). - Simplicial Homeomorphs and Trace-Bounded Hypergraphs, with Jason Long and Bhargav Narayanan. Discrete Analysis, July 2022. [doi]
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, 120 (2020). [doi] [arXiv]
- Unipancyclic Matroids, with Alana Huszar, Erin McNicholas, Jeff Schreiner-McGraw, and Colin Starr. Discrete Mathematics, 342(8):2254–2269 (2019). [doi]
- 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, 78:961–969 (2016). [doi] [arXiv]
Expository Writing
- ISM Summer School, lecture notes on “Intersections of Statistical Physics and Combinatorics”
Recent Talks/Visits
- May 2024: Georgia Tech Summer School on Probability, Algorithms, and Inference (attendee)
- May 2024: AMS Western Sectional Meeting, San Francisco (special session on Extremal Combinatorics and Connections, speaker)
- Feb 2024: Auburn University, Discrete Math Seminar speaker
- Jan. 2024: Oberwolfach Workshop on Discrete Geometry
- Jan. 2024: JMM in San Francisco
- AMS Special Session on Extremal and Probabilistic Combinatorics (co-organizer with Sam Spiro)
- AMS Special Session on Thresholds in Random Structures (speaker)
- {MathILy, MathILy-Er, MathILy-EST} Yearly Gather (co-host with sarah-marie belcastro and Brian Freidin)
- Dec. 2023: Lehigh-Minnesota Joint Probability Seminar (speaker)
- Oct. 2023: Duke University, Joint Combinatorics and Probability Seminar
- Oct. 2023: AMS Southeastern Sectional in Mobile AL (Special Session on Extremal and Probabilistic Combinatorics)
- Oct. 2023: AMS Central Sectional in Omaha, NE (Special Session on Advances in Graph Theory and Combinatorics)
- Sept. 2023: AWM Research Symposium, Special Session on Extremal and Probabilistic Combinatorics (co-organizer with Jinyoung Park)
- Sept. 2023: 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 (Special 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 (Special 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 Tower Gaps in Multicolour Ramsey Numbers:
- 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