I am an instructor in mathematics at Princeton University. I received my PhD at UCLA in 2023 under the supervision of Burt Totaro. Here is my CV.

My research interests are in algebraic geometry. Specifically, I am interested in equivariant birational geometry and optimization problems in algebraic geometry. I am a co-organizer of the Princeton Algebraic Geometry Seminar.

- esserl [at] math [dot] princeton [dot] edu

- Publications and Preprints
- Symmetries of Fano varieties, by Louis Esser, Lena Ji, and Joaquin Moraga (arXiv)
- Log canonical pairs with conjecturally minimal volume, by Louis Esser and Burt Totaro (arXiv)
- Minimal log discrepancies and mirror symmetry, by Louis Esser (arXiv)
- Automorphisms of weighted projective space, by Louis Esser (arXiv, pdf, with extra notes)
- Calabi-Yau varieties of large index, by Louis Esser, Burt Totaro, and Chengxi Wang (arXiv)
- Quotient singularities in the Grothendieck ring of varieties, by Louis Esser and Federico Scavia (arXiv)
- On explicit birational geometry for minimal n-folds of canonical
dimension n-1, by Meng Chen, Louis Esser, and Chengxi Wang,
*Bull. Lond. Math. Soc., to appear*(arXiv) - Varieties of general type with doubly exponential asymptotics, by
Louis Esser, Burt Totaro, and Chengxi Wang,
*Trans. Amer. Math. Soc. Ser. B*10 (2023), 288-309. (arXiv) - Optimal sine and sawtooth inequalities, by Louis Esser, Terence Tao,
Burt Totaro, and Chengxi Wang,
*Journal of Fourier Analysis and Applications*28 (2022) no. 2, Paper No. 14, 21pp. (arXiv) - Non-torsion Brauer groups in positive characteristic, by Louis
Esser,
*Proc. Amer. Math. Soc.*151 (2023), no. 2, 527-531. (arXiv, pdf, with extra notes)

- Teaching
- Fall 2023: MAT202 Linear Algebra with Applications

- Miscellaneous Projects
- Random Kolam Generator (with Trisha Ramadoss)
- Early Calculus Supplement App (as a contributor; project by Nick Brady and Brett Schreiber)