My name is Ákos Nagy, and I consider myself a mathematical physicist and a gauge theorist.
I received my Ph.D. from Michigan State University in 2016. My advisor was Tom Parker.

I am a Postdoctoral Fellow in the Department of Pure Mathematics of the University of Waterloo, working with Benoit Charbonneau. I am also an Associate Postdoc in the Perimeter Institute.

If you are interested, you can see my curriculum vitæ, read about my research, or find my contact info.

Currently I am working on two projects: The first originates from my Ph.D. research, and concerns the geometric-analytic properties of Majorana spinors on Kähler manifolds. The second project is about the construction and the moduli space of BPS monopoles with arbitrary symmetry breaking for the classical (compact) Lie groups. This is a joint work with Benoit Charbonneau. Preprints of both projects are coming soon!

Nowadays I am also learning about Higgs bundles, G

You can find out more about my research on arXiv and on ResearchGate.

Mathematical Congress of the Americas

CMS Winter Meeting

UQAM, CIRGET Geometry and Topology Seminar, February 24, 2017

University of Waterloo, Geometry and Topology Seminar, September 23, 2016

McMaster University, Geometry and Topology Seminar, September 16, 2016

AMS Fall Sectional Meeting

Budapest University of Technology, Geometry Seminar, December 16, 2014

Algebra, Geometry, and Mathematical Physics VI

published

2. ** Ákos Nagy:**
*The Berry connection of the Ginzburg–Landau vortices*, Communications in Mathematical Physics, 350(1), 105-128 (2017)

1.**Gábor Etesi and Ákos Nagy:**
*S-duality in Abelian gauge theory revisited*, Journal of Geometry and Physics 61, 693-707 (2011)

Abstract: We analyze 2-dimensional Ginzburg–Landau vortices at critical coupling, and establish asymptotic formulas for the tangent vectors of the vortex moduli space using theorems of Taubes and Bradlow. We then compute the corresponding Berry curvature and holonomy in the large volume limit.

1.

Abstract: Definition of the partition function of U(1) gauge theory is extended to a class of four-manifolds containing all compact spaces and certain asymptotically locally flat (ALF) ones including the multi-Taub–NUT spaces. The partition function is calculated via zeta-function regularization with special attention to its modular properties. In the compact case, compared with the purely topological result of Witten, we find a non-trivial curvature correction to the modular weights of the partition function. But S-duality can be restored by adding gravitational counter terms to the Lagrangian in the usual way. In the ALF case however we encounter non-trivial difficulties stemming from original non-compact ALF phenomena. Fortunately our careful definition of the partition function makes it possible to circumnavigate them and conclude that the partition function has the same modular properties as in the compact case.

submitted

[ arXiv:1607.00232 ]

Abstract: Ginzburg–Landau fields are the solutions of the Ginzburg–Landau equations which depend on two positive parameters, α and β. We give conditions on α and β for the existence of irreducible solutions of these equations. Our results hold for arbitrary compact, oriented, Riemannian 2-manifolds (for example, bounded domains in ℝ^{2}, spheres, tori, etc.) with de Gennes–Neumann boundary conditions. We also prove that, for each such manifold and all positive α and β, Ginzburg–Landau fields exist for only a finite set of energy values and the Ginzburg–Landau free energy is a Palais–Smale function on the space of gauge equivalence classes.

in preparation

akos [dot] nagy [at] uwaterloo [dot] com

and

contact [at] akosnagy [dot] com

MC 6467

(Office phone#: 519-888-4567 ext. 37428, but I do not answer the phone on general principle.)

Department of Pure Mathematics

University of Waterloo

200 University Avenue West

Waterloo, Ontario, Canada N2L 3G1