cv

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General Information

Full Name Ruoxi Li
Email ruoxi_li@berkeley.edu
Phone +1 605-940-3262
Affiliation Department of Mathematics, University of California, Berkeley

Education

  • 2022 - present
    Doctoral Program in Mathematics
    University of California, Berkeley, California, United States
    • Research Interests: Algebraic Geometry
  • 2020 - 2022
    BS in Applied Mathematics
    Columbia University, New York, United States
    • Graduated Summa cum Laude
  • 2017 - 2020
    BA in Mathematics
    Augustana University, South Dakota, United States

Publications and Preprints

  • Symplectic Biextensions, Twisted Lagrangian Pairs, and Twisted Derived Torelli of Abelian Varieties
    • in preparation
  • Point Objects and Fourier-Mukai Partners of Projective Bundles over Abelian Varieties
    • with F. Lin; in preparation
  • Aug 2026
    GIT for Root Stacks and 3D Mirror Symmetry
    • with Swapnil Garg, Yuji Okitani; preprint
    arXiv
  • May 2026
    Minimal Trivializing Isogenies of G_m-Gerbes over Abelian Varieties and Period-Index Problem
    • submitted
    arXiv
  • Nov 2025
    Point Objects and Derived Equivalences of Twisted Derived Categories of Abelian Varieties
    • submitted
    arXiv
  • Oct 2025
    Weyl-invariant subspaces are not (usually) generic
    • with Riku Kurama, Henry Talbott, Rachel Webb; submitted
    arXiv

Work Experience

  • 2023 - present
    Graduate Student Instructor
    University of California, Berkeley, California, United States
    • Math 16A, Analytic Geometry and Calculus, Fall 2026
    • Math 51, Calculus I, Summer 2026
    • Math 55, Discrete Mathematics, Fall 2025
    • Math 33, Precalculus, Fall 2024
    • Math 53, Multivariable Calculus, Summer 2024
    • Math 1A (51), Calculus, Fall 2023
    • Math 16B, Analytic Geometry and Calculus, Spring 2023
  • Jan 2022 - May 2022
    Teaching Assistant
    Columbia University, New York, United States
    • Math GU4041, Introduction to Analysis, Spring 2022
  • 2018 - 2020
    Tutor
    Augustana University, South Dakota, United States
    • One-on-one calculus tutoring and calculus review sessions.
    • Drop-in math and physics tutor covering calculus, linear algebra, mathematical logic, real analysis, and abstract algebra.

Talks and Presentations

  • Nov 2026
    • Point Objects and Twisted Fourier-Mukai Partners of Abelian Varieties, Algebra and Algebraic Geometry Seminar, University of Washington.
  • May 2026
    • Point Objects and Twisted Fourier-Mukai Partners of Abelian Varieties, Algebra Seminar, University of Oregon.
  • Mar 2026
    • Ranks of Twisted Semi-homogeneous Vector Bundles and their Moduli Stacks, Student Arithmetic Geometry Seminar, UC Berkeley.
  • Nov 2025
    • Point Objects on Projective Bundles over Abelian Varieties, Student Arithmetic Geometry Seminar, UC Berkeley.
  • Nov 2025
    • Point Objects and Fourier-Mukai Partners of Twisted Derived Categories of Abelian Varieties, University of Oregon, flash talk at WAGS 2025.
  • Apr 2025
    • Point Objects in the Twisted Derived Categories of Abelian Varieties, Student Arithmetic Geometry Seminar, UC Berkeley.
  • Oct 2024
    • Ample Vector Bundles on Tame Stacks, Student Arithmetic Geometry Seminar, UC Berkeley.
  • Mar 2024
    • The Fourier-Mukai Equivalences between a K3 Surface and its Moduli Space of Semistable Sheaves, Student Arithmetic Geometry Seminar, UC Berkeley.
  • Apr 2023
    • Db(X) determines X when KX is ample or anti-ample, Student Arithmetic Geometry Seminar, UC Berkeley.
  • Jul 2022
    • Final Presentation on GIT project, Michigan Research Experience for Graduates Symposium.
  • Oct 2021
    • Poster presentation on Thick Points in a Random Square Subdivision Model Generated by Bernoulli Trials, Columbia University Undergraduate Research Symposium.
    • Seminar Presentation on Foundations of Probability Theory, Columbia Undergraduate Seminar in Applied Mathematics.
  • Aug 2021
    • Final presentation on Thick Points in a Random Square Subdivision Model Generated by Bernoulli Trials, Columbia University.