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My research interests lie primarily in geometric measure theory and geometric combinatorics. I am particularly interested in problems related to the Erdos and Falconer distance problems and generalizations to point configurations. For a more detailed description, see my research statement.
My publications and preprints (listed most recent to oldest)
Volumes spanned by -point configurations in (with Belmiro Galo), submitted.
Areas spanned by point configurations in the plane. Accepted, Proceedings of the AMS.
Distinct distances from points on a circle to a generic set (with Brian McDonald, Jonathan Passant, and Anurag Sahay). Accepted, INTEGERS.
Areas of triangles and SL_2 actions in finite rings. BULLETIN of the L.N. Gumilyov Eurasian National University Mathematics Series, Computer science, Mechanics, No.2 (127) / 2019
Congruence classes of large configurations in vector spaces over finite fields. Funct. Approx. Comment. Math., Volume 62, Number 1 (2020), 131-141.