Gregory J. Parker

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Szego Assistant Professor of Mathematics,

Stanford University

CV

gjparker — at — stanford — dot — edu

About Me

I am a Szego Assistant Professor of Mathematics at Stanford. I received my Ph.D. from MIT in 2022 where my advisors were Tomasz Mrowka and Clifford Taubes (Harvard University).

My research interests are in global analysis and differential geometry, specifically on the analytic and geometric aspects of mathematical gauge theory.

Education

Massachusetts Institute of Technology
PhD, Mathematics
Advisors: Tomasz Mrowka and Clifford Taubes
2017 — 2022.

Harvard University.
A.B. in Mathematics and Physics, summa cum laude, with highest honors
2013 — 2017.

Publications

Concentrating Local Solutions of the Two-Spinor Seiberg-Witten Equations on 3-Manifolds
Gregory J. Parker
Preprint:
arXiv: 2210.08148 | October, 2022. Submitted to Communications in Analysis and Geometry.

Deformations of Z_2-Harmonic Spinors on 3-Manifolds
Gregory J. Parker
Preprint:
arXiv: 2301.06245 | January, 2023. To be submitted to Geometric and Functional Analysis.

Concentrating Dirac Operators and Generalized Seiberg-Witten Equations
Gregory J. Parker
Coming Jan. 2022.

In Preparation

Gluing Z_2-Harmonic Spinors on 3-Manifolds
Gregory J. Parker
Expected Mar. 2022.

Talks and Conferences

Concentrating Local Solutions of the Two-Spinor Seiberg-Witten Equations
Seminar
New Four-dimensional Gauge Theories
MSRI, October 2022.

Gluing Z_2-Harmonic Spinors
Seminar
Simons Collaboration on Special Holonomy: Open Problems Session
SCGP, September 2022.