I am a third 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 topology of 4-manifolds and their mapping class groups. Previously, I was an undergraduate at Cornell University.
You can contact me at seraphina at math dot uchicago dot edu. Here is my CV.
Research:
- Cohomology of the Universal Abelian Surface with Applications to Arithmetic Statistics, 2020. [arXiv] [pdf]
- Spectral Decimation for Families of Self-Similar Symmetric Laplacians on the Sierpinski Gasket, with Sizhen Fang, Dylan A. King, and Robert S. Strichartz. J. Fractal Geom., 7 (1) (2020): 1-62. [arXiv] [pdf] [code] [data]
Teaching:
- Autumn 2021: Math 13100/40: Elementary Functions and Calculus I
- Past teaching
Exposition:
- Topology of Moduli Spaces with Applications to Arithmetic Statistics: my topic proposal advised by Benson Farb, November 2020, [pdf]
- Mostow Rigidity: a final project for a Riemannian geometry class taught by Amie Wilkinson, June 2020, [pdf]
- sgn(a_p) and Isogeny Classes of Elliptic Curves: my undergraduate senior thesis advised by Ravi Ramakrishna, April 2019, [pdf]
Notes/slides from talks:
- Finite Group Actions on 4-Manifolds: Farb and Friends, March 2021, [notes].
- Knots Which Behave Like the Prime Numbers: June 2020, [slides].
- Spectral Decimation for Families of Self-Similar Symmetric Laplacians on the Sierpinski Gasket: JMM, January 2019, [slides].
- Rational Points on Elliptic Curves: Cornell Undergraduate Math Club, November 2018, [notes].
- Spectral Decimation for Families of Laplacians on the Sierpinski Gasket: Cornell Undergraduate Math Club, November 2017, [slides].
Other links
(last updated September 10, 2021.)