Alvin MoonPhD Candidate Department of Mathematics University of California, Davis Email: asmoon(at)math(dot)ucdavis(dot)eduOffice: 2141 MSB |

**Course information**

I am not teaching at the moment. However, you can find an old course website from when I taught multivariate real analysis, here: MAT 127C, Summer 2019

**Articles**

*Automorphic equivalence within gapped phases in the bulk,***with Y. Ogata**.

J. Funct. Anal. 278.8 (2020) (arXiv preprint)*Automorphic equivalence preserves the split property.*

J. Funct. Anal. 277.10 (2019). (arXiv preprint)*Stability of gapped ground state phases of spins and fermions in one dimension*,**with B. Nachtergaele**.

J. Math. Phys. 59, 091415 (2018). (arXiv preprint)

**Conferences and Workshops Attended (a.k.a. "Have we met before?")**

- 37th (Almost) Annual Western States Mathematical Physics Meeting , at UC Irvine. 7-8 March 2020.
- AMS Special Session on Spectral and Transport Properties of Disordered Systems, at the Joint Math Meeting. 15-18 January 2020.
- Great Lakes Mathematical Physics Meeting, at Oberlin College. 28-30 June 2019.
- Fall Central Sectional Meeting, AMS, Special Session on Ergodic and Topological Quantum Systems, at University of Michigan, Ann Arbor. 20-21 October 2018.
- Thematic semester on Mathematical challenges in many-body physics and quantum information, at the Centre de recherches mathematiques. Fall semester, 2018.
- XIX International Congress on Mathematical Physics, 23-28 July 2018.
- Arizona School of Analysis and Mathematical Physics, at University of Arizona, 5-9 March 2018.
- Joint Math Meeting Special Session on Research in Mathematics by Early Career Graduate Students. 13 January 2018
- Current topics in mathematical physics, at University of Zurich. 17-21 July 2017
- Subfactors: planar algebras, quantum symmetries, and random matrices, at the Mathematical Sciences Research Institute. 12-23 June 2017
- Ergodic theory and operator algebras workshop, at Texas A&M University. 5-9 June 2017.
- QMath 13: Mathematical Results in Quantum Physics, at Georgia Institute of Technology. 8-11 October 2016.
- Frontiers in Mathematical Physics, at the Centre de recherches mathematiques. 1 Sept - 28 August 2016.
- Conference on Methods of Modern Mathematical Physics, A Young Researcher Symposium, at the Fields Institute. 22-26 August 2016.

**About me**

I am a PhD candidate in the Department of Mathematics. Currently, I am interested in quantum many-body problems related to quantum spin systems. I am also interested in operator algebras, particularly C*-dynamical systems. My adviser is Bruno Nachtergaele.

I entered the program in fall 2015. Prior, I completed my BA in Mathematics at the University of California, Berkeley.