Claudia He Yun

012 Kassar House

Department of Mathematics
Brown University
Box 1917
151 Thayer St
Providence, RI 02912

he_yun at brown dot edu


Research
Teaching
CV
Personal


I am a second-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.

Research

  1. Rational homology of Delta_{2,n} as an S_n-representation. (2018-present)
    We study the rational homology of a certain cross-section of the tropical moduli space of n-marked curves. In particular, we try to understand the representation induced by the action of the symmetric group S_n on the space by permuting the marked points. With Melody Chan.
  2. Generalized Algebraic Splines. (2016-2017)
    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. With Julianna Tymoczko.
  3. Puzzling and apuzzling graphs, with D. Gold, J. Henle, C. Huang, T. Lyve, T. Marin, J.Osorio, M. Puligandla, B. Weick, J. Xia, and J. Zhang. AKCE InternationalJournal of Graphs and Combinatorics, vol. 13, no. 1 (2016): 1-10.

Teaching

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

Travel