hey there!

picture of Ákos
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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.



upcoming agenda

  • From May 11, 2017 to June 11, 2017: I will be a visitor in the Simons Center for Geometry and Physics for the Mathematics of topological phases of matter program.

  • Fall of 2017: I will be in the Fields Institute as a Fields Postdoc for the Thematic Program on Geometric Analysis working with Spiro Karigiannis.

  • From January, 2018: I will be a William W. Elliott Assistant Research Professor of Mathematics at Duke University where Mark Stern and Robert Bryant will be my postdoc mentors.


  • research interests


    past and current projects, and future plans

    I am mainly interested in gauge theory and its applications to mathematical physics.

    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, G2 instantons, and supersymmetry.

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

    invited talks

    upcoming

    The Sen Conjecture and Beyond (conference), University College London, June 19-23, 2017
    Mathematical Congress of the Americas (conference), Montréal, July 24-28, 2017
    CMS Winter Meeting (conference), University of Waterloo, December 8-11, 2017

    past

    Caltech, Noncommutative Geometry Seminar, March 8, 2017
    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 (conference), Rutgers University, November 14-15, 2015
    Budapest University of Technology, Geometry Seminar, December 16, 2014
    Algebra, Geometry, and Mathematical Physics VI (conference), Tjärnö, October 25-30, 2010


    papers

    published
    2. Ákos Nagy:   The Berry connection of the Ginzburg–Landau vortices, Communications in Mathematical Physics, 350(1), 105-128 (2017)
    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. Gábor Etesi and Ákos Nagy:   S-duality in Abelian gauge theory revisited, Journal of Geometry and Physics 61, 693-707 (2011)
    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
    Ákos Nagy:   Irreducible Ginzburg–Landau fields in dimension 2, (2016)
    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 ℝ2, 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
    Benoit Charbonneau and Ákos Nagy:   Monopoles with non-maximal symmetry breaking,

    Manousos Maridakis and Ákos Nagy:   The Łojasiewicz–Simon inequality in gauge theories on non-compact manifolds,

    Ákos Nagy:   Majorana spinors on Kähler manifolds.

    contact



    email

    akos [dot] nagy [at] uwaterloo [dot] com
    and
    contact [at] akosnagy [dot] com

    office location

    MC 6467
    (Office phone#: 519-888-4567 ext. 37428, but I do not answer the phone on general principle.)

    professional mailing address

    Department of Pure Mathematics
    University of Waterloo
    200 University Avenue West
    Waterloo, Ontario, Canada N2L 3G1