Background

I am a mathematician working as a postdoctoral researcher in the Department of Mathematics at Michigan State University, where my mentor is Professor Jeffrey Schenker. I recently completed my Ph.D. in Mathematics at UC Davis where my advisor was Professor Bruno Nachtergaele.

Research Interest

My research field is mathematical physics and I am interested in problems at the interface of quantum statistical mechanics and quantum information science. Connections between these fields often arise in the context of quantum spin systems. Currently, my research focuses on the analysis of stability properties of topologically ordered states.


Publications and preprints

1. On the stability of charges in infinite quantum spin systems. (with P. Naaijkens and B. Nachtergaele) submitted (2018) [arXiv]
2. Topologically ordered state in infinite quantum spin systems. Ph. D. thesis (2017) [arXiv]
3. The complete set of infinite volume ground states for Kitaev's abelian quantum double models. (with P. Naaijkens and B. Nachtergaele) Commun. Math. Phys. 357, 125-157 (2018) [publisher] [arXiv]

Teaching

Current

Past

  • MTH 310 - Abstract Algebra I and Number Theory, Summer Session I 2018
  • MTH 132 - Calculus I, Fall 2017
  • MAT 22B - Differential Equations, Summer Session I 2017 (Associate Instructor at UC Davis)
  • MAT 22B - Differential Equations, Summer Session I 2016 (Associate Instructor at UC Davis)
  • Teaching Assistant for many courses at UC Davis including lower division courses of Calculus, Linear Algebra, Differential Equations and upper division courses of Ordinary Differential Equations and Real Analysis.

Recent presentations

  • GLaMP18: Great Lakes Mathematical Physics Meeting, Michigan State University, Lansing, MI, Jun 22-24, 2018. (Contributed)
  • Analysis and Math Physics Seminar, Virginia Tech, Blacksburg, VA, April 11, 2018.
  • Mathematical Physics and Gauge Theory Seminar, Michigan State University, Lansing, MI, Sep 14, 2017.
  • GLaMP17: Great Lakes Mathematical Physics Meeting, Michigan State University, Lansing, MI, Jun 23-25, 2017. (Contributed)
  • QMath13: Mathematical Results in Quantum Physics, Georgia Technical Institute, Atlanta, GA, Oct 8-11, 2016. (Contributed-short talk)
  • Operator Algebra Seminar, The University of Tokyo, Japan, June 24, 2015.
Last modified: 24 Aug 2018.