Claudia He Yun

About Me

I am a fourth-year graduate student at Brown University under the supervision of Melody Chan. I did my undergraduate studies at Smith College. My research interests include algebraic geometry and combinatorics.

Here is my CV.


Contact Me

Email: he_yun at brown dot edu

Office: 012 Kassar House

Research

Published papers and preprints

  1. Topology of tropical moduli spaces of weighted stable curves in higher genus,
    with Siddarth Kannan, Shiyue Li, and Stefano Serpente.
    Preprint.

  2. The S_n equivariant homology of the tropical moduli spaces Delta_{2,n}.
    To appear in Experimental Mathematics.
    Supplementary Sage code.

  3. Puzzling and apuzzling graph,
    with D. Gold, J. Henle, C. Huang, T. Lyve, T. Marin, J.Osorio, M. Puligandla, B. Weick, J. Xia, and J. Zhang. AKCE International Journal of Graphs and Combinatorics, vol. 13, no. 1 (2016): 1-10.

In preparation

  • Calculating H_*(Delta_{2,n}) through configuration spaces of graphs,
    with Christin Bibby, Melody Chan, and Nir Gadish.
    Interactive data powered by SageMathCells.

  • Splines on lattices and the equivariant cohomology of homogenous affine springer fibers of weight 1,
    with Julianna Tymoczko.
    Given some ring R and a graph G whose edges are labelled with ring elements, a generalized algebraic spline on the graph is a labelling of the vertices by elements in R such that the difference between two adjacent vertices lies in the ideal generated by the label of the edge between them. Goresky-Kottwitz-MacPherson proved that for a compact complex manifold with a torus action that satisfies certain hypotheses, we can define an edge-labelled graph, called the moment graph of the manifold, and that the T-equivarient cohomology ring of the manifold is exactly isomorphic to the ring of splines on its moment graph. In this project, we study splines on certain types of infinite graphs.


Teaching

Brown University

Smith College

  • Tutor. All math courses below multivariable calculus and linear algebra, Fall 2016, Spring 2017.

  • Instructor. Introductory Java Programming, Winter 2016.

  • Tutor. CSC 212 Data Structures with Java, Fall 2016.

  • Tutor. PHY 215 Introductory Physics III; PHY 210 Math Methods for Physicists and Engineers, Spring 2015, Fall 2015, Spring 2016.

  • Grader. AST 111 Introductory Astronomy; PHY 117 Introductory Physics I; PHY 215 Introductory Physics III, Fall 2014, Spring 2015.

  • Learning Assistant. PHY 117 Introductory Physics I, Fall 2014.

Others

  • GirlsGetMath @ ICERM . Teaching Assistant. Apportionment.

  • Summer Science Program. Teaching Assistant and Residential Assistant. Multivariable calculus, Introductory Physics, Introductory Astronomomy, and Python Programming, Summer 2018.


Expository Writings & Slides

  • Stagosaur group E2: Exponential growth of H^{4g-6}(M_g;Q).
    Part I by Brian Hwang. Part II by me. Part III by Shiyue Li.

Outreach

  • I am on the organizing committee of the Brown Math Circle. We organize weekly trips to a local middle school and a local high school to teach math through activities and games.

Travel