Michelle Lee
Graduate Student
University of Michigan
Department of Mathematics
2074 East Hall
530 Church St
Ann Arbor, MI 48109-1043
USA
Office: 3072 East Hall
Phone: 734-763-0664
E-mail: michelle(dot)dongeun(dot)lee(at)gmail(dot)com
Research:
I am a graduate student at the University of Michigan working under
the supervision of Dick Canary. Broadly, my research interests
lie in studying character varieties and their relationship with
hyperbolic geometry. More specifically, my thesis work studies
the ergodic decomposition of PSL(2, C)-character varieties of some
hyperbolic 3-manifolds.
Preprints and Publications:
- "Dynamics on PSL(2,C)-character variety of a compression
body,'' in preparation
- "Dynamics on PSL(2,C)-character
variety of a twisted I-bundle,'' preprint, arXiv:1103.3479
- with J. Corneli, I. Corwin, S.
Hurder, V. Sesum, Y. Xu, E. Adams, D. Davis, R. Visocchi, N.
Hoffman, "Double bubbles in Gauss space and spheres'', Houston
Journal of Mathematics, 34 (2008), no. 1, 181–204.
- with E. Adams, I. Corwin, D. Davis,
R. Visocchi, "Isoperimetric Regions in Gauss Sectors,''
Rose-Hulman Undergraduate Math Journal, 8 (2007), no.1
- "Isoperimetric Regions in surfaces
and in surfaces with density,'' Rose-Hulman Undergraduate Math
Journal, 7 (2006) no. 2
My CV may be found here.
Teaching:
University of Michigan
- Fall 2010, Fall 2008, Winter 2008: Math 116 Calculus II
- Fall 2007, Winter 2007: Math 115 Calculus I
- Fall 2006: Math 105 Precalculus
Summer Programs