Charles Ouyang
Assistant Professor
Department of Mathematics
Washington University
Contact Information
Office: Cupples I 204B
E-mail: ouyang (at) math (dot) wustl (dot) edu
Mailing address: Department of Mathematics, One Brookings Dr, St. Louis, MO, 63130.
Curriculum Vitae
I am currently an assistant professor at Washington University in St. Louis. Previously, I was
an NSF postdoctoral fellow at the University of Massachusetts Amherst, where my mentor was Franz Pedit. I received my PhD from Rice University in May 2020 under the supervision of Michael Wolf.
Research Interests
(Higher) Teichmüller theory, Riemann surfaces, harmonic maps and minimal surfaces
Papers
High energy harmonic maps and degeneration of minimal surfaces, Geometry & Topology 27 (2023), no. 5, pp. 1691-1746. arXiv:1910.06999 Published version
Limits of Blaschke metrics (with A. Tamburelli), Duke Math. J. 170 (2021), no. 8, pp. 1683-1722. arXiv:1911.02119, Published version
Length spectrum compactification of the SO(2,3) Hitchin component (with A. Tamburelli), Advances in Mathematics 420 (2023), pp. 1-37 arXiv:2010.03499, Published version
Boundary of the Gothen components (with A. Tamburelli), Topology and its Applications 326 (2023), pp. 1-11. arXiv:2105.01779, Published version
A closed ball compactification of a maximal component via cores of trees (with G. Martone and A. Tamburelli), to appear in Algebraic & Geometric Topology arXiv:2110.06106
Higgs bundles and SYZ geometry (with S. Heller and F. Pedit), to appear in Journal of Differential Geometry arXiv:2203.04224
New higher genus minimal Lagrangians in CP^2 (with S. Heller and F. Pedit), in preparation.
Metric degeneration of almost-complex curves in S^{2,4} (with P. Evans and A. Tamburelli), in preparation.
Teaching
Math 429 - Linear Algebra - Fall 2023 - WashU
Math 132 - Calculus II - Spring 2022 - UMass
Math 132 - Calculus II - Fall 2021 - UMass
Math 233 - Multivariable Calculus - Spring 2021 - UMass
Math 131H - Honors Calculus I - Fall 2020 - UMass
Math 335 - Linear Algebra - Summer 2020 - Rice
Math 102 - Single Variable Calculus II - Fall 2017 - Rice
Math 101 - Single Variable Calculus I - Summer 2017 - Rice
Service
Co-organizer, "Minimal surfaces in symmetric spaces", BIRS-IMAG, Granada, May 21-26, 2023.
Co-founder, UMass Directed Reading Program, Spring 2023
Co-organizer, "Special Session on Non-Abelian Hodge Theory and Minimal Surfaces", AMS Fall Eastern Sectional Meeting, October 1-2, 2022.
Co-organizer, "UMass Geometry and Analysis Seminar", Spring 2021-2023
Co-organizer, RTG Log Cabin Workshop "Geometric aspects of Higgs bundles" Sunriver, OR. May 11-18, 2019.
Some Useful Links
WashU Math Department Home Page
UMass Math Department Home Page
Rice Math Department Home Page
GEAR - Geometric Structures and Representation Varieties
Princeton Math Department Home Page
