Email: lenaji [at] umich.edu
Office: 1855 East Hall
Hello! I am an Assistant Professor and Research Fellow at the University of Michigan. My mentor is Professor Mircea Mustaţă, and my research is supported by the Number Theory Research Training Grant (RTG). I am interested in algebraic geometry and commutative algebra, particularly in positive characteristic.
I obtained my PhD from Princeton University in 2021 under the supervision of Professor János Kollár. Before that, I was an undergraduate at Columbia University, where I graduated in 2016.
- Fall 2021: I am teaching two sections of Math 115; additional information is available on Canvas.
- The Noether–Lefschetz theorem in arbitrary characteristic. Preprint available at arXiv:2107.12962.
- Structure of geometrically non-reduced varieties, with Joe Waldron. Transactions of the American Mathematical Society, Volume 374, Number 12 (2021), 8333–8363.
- 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. Journal of Commutative Algebra, Volume 11, Number 3 (2019), 363–388.
- 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. Journal of Commutative Algebra, Volume 10, Number 4 (2018), 475–498.