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My name is Ákos Nagy, I am a mathematician, and I was born and raised in Hungary.

I received my Ph.D. from Michigan State University in 2016. My advisor was Tom Parker.

I am a Fields Postdoctoral Fellow in the Fields Institute for the Geometric Analysis Thematic Program working with Spiro Karigiannis. My my sponsor university is the University of Waterloo, where my postdoc mentor is Benoit Charbonneau.

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.



Geometry at UWaterloo arXiv Google Scholar MathSciNet

curriculum vitæ



Click here to open my curriculum vitæ,
or
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research interests


past and current projects, and future plans

I am mainly interested in geometric analysis and its applications to gauge theory and mathematical physics. More concretely, I usually deal with elliptic PDE's arising from physical gauge theories.

Currently I am working on 4 main projects:

  1. 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.
  2. The geometric-analytic properties of Majorana spinors on closed spinc manifolds.
  3. The constraction of instantons on the Euclidean Schwarzschild manifold. This is a joint work with Gonçalo Oliveira.
  4. The geometry of the moduli spaces of gauge non-linear sigma models. This is a joint work with Nuno Romão.
Preprints of these projects are coming "soon"!

I am also trying to learn about Higgs bundles, gauge theory on G2 and Spin(7) manifolds, and supersymmetry. If you know a good project in these fields (or in any other fields really) that involves (elliptic) geometric PDE's, shoot me an email!

You can find out more about my research on arXiv, on Google Scholar, or on ORCID.

invited talks

    future

  1. CMS Winter Meeting (conference), University of Waterloo, December 8-11, 2017
  2. Michigan State University, Institute for Mathematical and Theoretical Physics, Mathematical Physics and Gauge Theory Seminar, October 3, 2017
  3. past

  4. Mathematical Congress of the Americas (conference), Montréal, July 24-28, 2017
  5. The Sen Conjecture and Beyond (conference), University College London, June 19-23, 2017
  6. Mathematics of topological phases of matter (thematic program – video), Simons Center for Geometry and Physics, May 23, 2017
  7. Caltech, Noncommutative Geometry Seminar, March 8, 2017
  8. UQAM, CIRGET Geometry and Topology Seminar, February 24, 2017
  9. University of Waterloo, Geometry and Topology Seminar, September 23, 2016
  10. McMaster University, Geometry and Topology Seminar, September 16, 2016
  11. AMS Fall Sectional Meeting (conference), Rutgers University, November 14-15, 2015
  12. Budapest University of Technology, Geometry Seminar, December 16, 2014
  13. Algebra, Geometry, and Mathematical Physics VI (conference), Tjärnö, October 25-30, 2010
  14. Institute for Particle and Nuclear Physics, Wigner Research Centre for Physics, Theoretical Physics Seminar, March 12, 2010


papers

published
  1. Ákos Nagy: Irreducible Ginzburg–Landau fields in dimension 2, The Journal of Geometric Analysis (2017)
    [ arXiv | doi | abstract ]
  2. Ákos Nagy: The Berry connection of the Ginzburg–Landau vortices, Communications in Mathematical Physics, 350(1), 105-128 (2017)
    [ arXiv | doi | abstract ]
  3. Gábor Etesi and Ákos Nagy: S-duality in Abelian gauge theory revisited, Journal of Geometry and Physics 61, 693-707 (2011)
    [ arXiv | doi | abstract ]
in preparation
  • Benoit Charbonneau and Ákos Nagy: Monopoles with non-maximal symmetry breaking,
  • Ákos Nagy: Concentrating Majorana spinors on Riemannian manifolds.

teaching



No teaching for the rest of 2017.

Yaaaaaay!!! ☻

contact



You can find current contact info here.