I am a fifth-year graduate student in the Department of Mathematics at the University of Chicago, advised by Benson Farb. Most recently, I've been thinking about the mapping class groups of certain 4-manifolds. Previously, I was an undergraduate at Cornell University.
Here is my CV.
Here is my CV.
Contact:
Email: seraphinalee at uchicago dot edu
Office: Eckhart 127
Office: Eckhart 127
Publications and preprints:
-
Mapping classes fixing an isotropic homology class of minimal genus 0 in rational 4-manifolds, [arXiv] [pdf]
preprint, 2023. -
Isotopy classes of involutions of del Pezzo surfaces, [arXiv] [pdf]
Adv. Math., 426 (0001-8708) (2023): 109086. -
The Nielsen realization problem for high degree del Pezzo surfaces, [arXiv] [pdf]
Geom. Dedicata, to appear. -
Cohomology of the Universal Abelian Surface with Applications to Arithmetic Statistics, [arXiv] [pdf]
Q. J. Math., 73 (4) (2022): 1227–1278. -
Spectral Decimation for Families of Self-Similar Symmetric Laplacians on the Sierpinski Gasket, [arXiv] [pdf] [code] [data]
with Sizhen Fang, Dylan A. King, and Robert S. Strichartz. J. Fractal Geom., 7 (1) (2020): 1-62.
Teaching:
- Winter and Spring 2023: None.
- Past teaching
Upcoming and selected past talks:
- Brown University Geometry/Topology Seminar, April 24, 2024.
- Nielsen realization problem for del Pezzo surfaces, Gauge Theory Virtual, March 6, 2024.
- Mapping class groups of rational 4-manifolds and isotropic homology classes, JMM 2024, January 3-5, 2024.
- Nielsen realization problem for del Pezzo surfaces, Princeton Topology Seminar, November 30, 2023.
- Isotopy classes of involutions of del Pezzo surfaces, Seminario de topología algebraica y geométrica (SeTAGe), March 29, 2023.
- Mapping class groups of rational 4-manifolds and isotropic homology classes, 2023 AMS Spring Southeastern Sectional Meeting, March 18-19, 2023.
- Mapping class groups of del Pezzo surfaces, I and II, Taubes' Secret Seminar, October 26 and November 2, 2022
- Isotopy classes of involutions del Pezzo surfaces, UMass Amherst Geometry and Topology Seminar, October 18, 2022.
- Mapping class groups of del Pezzo surfaces, Low-Dimensional Topology and Homeomorphism Groups Workshop, September 6-10, 2022. [slides]
- Mapping class groups of del Pezzo manifolds, Mod(M^4) minicourse, August 6, 2022. [notes]
- Finite-order mapping classes of del Pezzo surfaces, 55th Spring Topology and Dynamical Systems Conference, March 9-12, 2022. [slides]
- Finite-order mapping classes of del Pezzo surfaces, Georgia Tech Geometry Topology Seminar, February 28, 2022. [slides]
Other links
(last updated Mar 8, 2024.)