there should be a picture of me here

hey there.


My name is Ákos Nagy, I am a mathematician, and I was born and raised in Szekszárd, Hungary. I received my Ph.D. from Michigan State University in May, 2016. My advisor was Tom Parker.

Currently I am a William W. Elliott Assistant Research Professor of Mathematics at Duke University, where my mentors are Mark Stern and Robert Bryant. I am also a Research Collaborator in the Alfréd Rényi Institute of Mathematics of the Hungarian Academy of Science.

Before coming to North Carolina, I was a postdoc at the University of Waterloo and the Fields Institute, where my mentors were Benoit Charbonneau and Spiro Karigiannis, respectively.

I co-organize the Geometry & Topology Seminar at Duke (with Ziva Myer).

research interests


past and current projects, and future plans

My main interests are geometric analysis, gauge theory, and mathematical physics. More concretely, I usually deal with elliptic PDE's coming from physics and/or gauge theories.

Here are the projects that I am currently working on:

  1. BPS monopoles with nonmaximal symmetry breaking, in particular their moduli spaces and Nahm transforms.
     This is a joint project with Benoit Charbonneau.
  2. The L2-geometry of moduli spaces in gauged nonlinear sigma models (Hamiltonian Gromov–Witten theory).
     This is a joint project with Nuno Romão.
  3. Kapustin–Witten equations on ALF manifolds, and Kapustin–Witten monopoles on ℝ3.
     This is a joint project with Steve Rayan and Gonçalo Oliveira.
Preprints are coming "soon".

I am also learning about Higgs bundles, gauge theory on G2 and Spin(7) manifolds, supersymmetry, and noncommutative instantons.

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

invited talks

    future

  1. The 11th IMACS International Conference on Nonlinear Evolution Equations and Wave Phenomena, "Mathematical perspectives in Quantum Mechanics and Quantum Chemistry" Session (conference), Athens, Georgia, April 17-19, 2019
  2. Mini-conference on Monopoles (conference), Tuscon, Arizona, February 17-21, 2018
  3. University of Maryland, Geometry and Topology Seminar, February 11, 2019
  4. past

  5. Geometry and Physics of Gauge Theories at Infinity (conference), Saskatoon, Saskatchewan, August 3-6, 2018
  6. SIAM Annual Meeting 2018, Quantum Dynamics Minisymposium (conference), Portland, Oregon, July 9-13, 2018
  7. Duke University, Geometry & Topology Seminar, February 26, 2018
  8. Rényi Institute of Mathematics, Hungarian Academy of Sciences, Algebraic Geometry and Differential Topology Seminar, December 15, 2017
  9. CMS Winter Meeting (conference), University of Waterloo, December 8-11, 2017
  10. Perimeter Institute, Mathematical Physics Seminar (video), December 4, 2017
  11. University of Waterloo, Geometry and Topology Seminar, December 1, 2017
  12. Michigan State University, Institute for Mathematical and Theoretical Physics, Mathematical Physics and Gauge Theory Seminar, October 3, 2017
  13. Postdoctoral Seminar of the Thematic Program on Geometric Analysis, Fields Institute, August 17, 2017
  14. Mathematical Congress of the Americas (conference), Montréal, Quebec, July 24-28, 2017
  15. The Sen Conjecture and Beyond (conference), University College London, June 19-23, 2017
  16. Mathematics of topological phases of matter (thematic program) (video), Simons Center for Geometry and Physics, May 23, 2017
  17. Caltech, Noncommutative Geometry Seminar, March 8, 2017
  18. UQAM, CIRGET Geometry and Topology Seminar, February 24, 2017
  19. University of Waterloo, Geometry and Topology Seminar, September 23, 2016
  20. McMaster University, Geometry and Topology Seminar, September 16, 2016
  21. AMS Fall Sectional Meeting (conference), Rutgers University, November 14-15, 2015
  22. Budapest University of Technology, Geometry Seminar, December 16, 2014
  23. Algebra, Geometry, and Mathematical Physics VI (conference), Tjärnö, October 25-30, 2010
  24. Institute for Particle and Nuclear Physics, Wigner Research Centre for Physics, Hungarian Academy of Sciences, Theoretical Physics Seminar, March 12, 2010


papers

published
  1. Ákos Nagy: Irreducible Ginzburg–Landau fields in dimension 2
    The Journal of Geometric Analysis, Volume 28, Issue 2, 1853–1868 (2018)
    [ 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 ]
preprints
  • Ákos Nagy and Gonçalo Oliveira: From vortices to instantons on the Euclidean Schwarzschild manifold
    submitted (2017)
    [ arXiv | abstract ]

curriculum vitæ



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contact



You can find my current contact info here.

teaching



In the Spring of 2019, I am teaching

differential geometry — math 421