Hello! I am an NSF Postdoctoral Fellow at the University of Michigan, mentored by Professor Mircea Mustaţă. I am interested in algebraic geometry and its connections to arithmetic geometry and commutative algebra; in particular, I am interested in Fano varieties, non-algebraically-closed fields, positive characteristic, and rationality.
The Noether–Lefschetz theorem in arbitrary characteristic. Accepted by J. Algebraic Geom. (arXiv)
Structure of geometrically non-reduced varieties (with Joe Waldron). Trans. Am. Math. Soc. 374 (2021), no. 12, 8333–8363. (journal) (arXiv)
Completely controlling the dimensions of formal fiber rings at prime ideals of small height (with Sarah Fleming, S. Loepp, Peter McDonald, Nina Pande, and David Schwein). J. Commut. Algebra 11 (2019) no. 3, 363–388. (journal) (arXiv)
Controlling the dimensions of formal fibers of a unique factorization domain at the height one prime ideals (with Sarah Fleming, S. Loepp, Peter McDonald, Nina Pande, and David Schwein). J. Commut. Algebra 10 (2018), no. 4, 475–498. (journal) (arXiv)
In Fall 2023, I am teaching two sections of Math 115 (Calculus I).