**Institutional email:** lenaji@umich.edu

**Permanent email:** lenaji.math@gmail.com

**Office:** 1855 East Hall

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.

I received 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.

**Research (arXiv page):**

- Symmetries of Fano varieties (with Louis Esser and Joaquín Moraga) (2023). (arXiv)
- The fibering genus of Fano hypersurfaces (with Nathan Chen, Benjamin Church, and David Stapleton) (2023). (arXiv)
- A threefold violating a local-to-global principle for rationality (with Sarah Frei) (2023). (arXiv)
- Rationality of real conic bundles with quartic discriminant curve (with Mattie Ji).
*Int. Math. Res. Not. IMRN*(2023). (journal) (arXiv) - Fano hypersurfaces with no finite order birational automorphisms (with Nathan Chen and David Stapleton) (2022). (arXiv)
- Curve classes on conic bundle threefolds and applications to rationality (with Sarah Frei, Soumya Sankar, Bianca Viray, and Isabel Vogt). Accepted by
*Algebraic Geom.*(arXiv) - 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)

**Teaching:**

- In Fall 2023, I am teaching two sections of Math 115 (Calculus I).

**Upcoming travel:**

- UT Austin, September 21, 2023
- K-stability and Birational Geometry, Clay Mathematics Institute, September 25–29, 2023
- AWM Research Symposium, Clark Atlanta University, September 30–October 1, 2023
- International Workshop on Birational Geometry, Nagoya University, October 10–13, 2023
- The University of Tokyo, October 16, 2023
- Fields Medal Symposium in Honor of Caucher Birkar, The Fields Institute, October 2023
- Tufts University, October 27, 2023
- University of Nottingham (Online), November 10, 2023
- Joint Mathematics Meetings, January 3–6, 2024
- Algebraic Geometry: Wall Crossing and Moduli Spaces, Varieties and Derived Categories, Oberwolfach, July 7–13, 2024

**REU advice:**
Here is my advice for undergraduates on how to apply to REUs.

*Last updated: September 2023.*