Email: lenaji [at] umich.edu
Office: 1855 East Hall
Hello! I am a Postdoctoral 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 in positive characteristic and over non-closed fields.
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.
Outside of math, I like baking sourdough bread, trying various pastries, and occasionally drawing.
- 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.
- Fall 2021: Two sections of Math 115 (Calculus I)
Here is my advice for undergraduates on how to apply to REUs.
Here is a drawing of me by Emily Ji
Here is a younger me at the National Museum of Mathematics
Last updated: May 2022.