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
- Exceptional Fano varieties with small minimal log discrepancy, by Louis Esser, Jihao Liu, and Chengxi Wang (arXiv)
- Hypersurfaces with large automorphism groups, by Louis Esser and Jennifer Li (arXiv)
- The dual complex of a G-variety, by Louis Esser (arXiv, pdf, with extra notes)
- 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 of hypersurface mirrors, by Louis Esser,
*Forum Math. Sigma***12**(2024), e23. (arXiv, pdf) - Automorphisms of weighted projective space, by Louis Esser,
*J. Pure Appl. Algebra***228**(2024), no. 6, 107628. (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,
*J. Algebraic Geom., to appear.*(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.***56**(2024), no. 1, 319-337. (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,
*J. Fourier Anal. Appl.***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
- Spring 2024: 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)