Admissions
I am open in general to advising graduate students, but all prospective students must first be admitted by the department. I am unable to respond individually to all of the admissions-related inquiries I receive. However, if you are interested in algebraic combinatorics, I encourage you to mention my name in your application.
Advising philosophy and expectations
After admission, we can discuss whether we would be a good fit.
(under construction)
Advisees at Berkeley
(under construction)
I have mentored five high school students on year-long research projects.
2021: Ram Goel, Products of reflections in smooth Bruhat intervals
2020: Katherine Tung, The Sperner property for 132-avoiding intervals in the weak order
2019: Benjamin Wright, Maximal extensions of differential posets
2018: Nathan Ramesh, Maximal difference avoiding subsets of the integers
2017: Ayush Agarwal, Differential posets and restriction in critical groups, Regeneron STS Scholar
I mentored undergraduates during MIT's Independent Activities Period.
2021: Vanshika Jain & Elisabeth Bullock, representation theory and symmetric functions
2020: Kaarel Haenni & Nelson Niu, Coxeter groups
2019: Julian Wellman & Marisa Gaetz, Lie algebras
2018: Timothy Leplae-Arthur, combinatorial commutative algebra
2017: Uma Roy, representation theory of the symmetric group
I volunteered as a facilitator for this diversionary program for criminal justice system-involved youth during summers 2019 & 2020.
2020-21: Alesandre Santos
2022 (informal): Laura Pierson Positivity of permutation pattern character polynomials
2017: Zachary Farr, Investigating determinants of some combinatorial hard Lefschetz isomorphisms