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Louis Esser

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
  • 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)
  • Spring 2024: MAT202 Linear Algebra with Applications
Miscellaneous Projects