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.

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

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.

     I am currently finishing a paper on harmonic spinors and the direct Nahm transform of BPS monopoles (which is a novel result even in the maximal symmetry case), and another one constructing explicit examples. The first project is a joint project with Benoit Charbonneau, while the second is join work with Benoit Charbonneau together with our undergraduate students, Anuk Dayaprema (Duke), Christopher Lang (UWaterloo), and Haoyang Yu (Duke).

  2. Haydys and Kapustin–Witten equations in 3 and 4 dimensions.

     This is a joint project with Steve Rayan and Gonçalo Oliveira.

  3. Majorana fermions in Jackiw–Rossi type theories.

  4. Does anyone know whether vortex moduli spaces, associated to Hermitian line bundles over Kähler manifolds, are always smooth or not?
Preprints are coming "soon".

I am also learning about Higgs bundles, gauge theory on G2 and Spin(7) manifolds, and spectral embeddings.

invited talks


  1. Budapest University of Technology, Geometry Seminar, December 17, 2019
  2. SIAM Conference on Analysis of Partial Differential Equations, Minisymposium on Gauge Theory and Partial Differential Equations (conference), La Quinta, California, December 11-14, 2019
  3. Novel Vistas on Vortices (conference), Simons Center for Geometry and Physics, November 11-15, 2019
  4. past

  5. Duke University, Geometry & Topology Seminar, September 9, 2019
  6. Geometric and analytic aspects of moduli spaces (conference), Leibniz University, Hannover, July 22-26, 2019
  7. 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
  8. Mini-conference on Monopoles (conference), Tuscon, Arizona, February 17-21, 2019
  9. University of Maryland, Geometry and Topology Seminar, February 11, 2019
  10. Geometry and Physics of Gauge Theories at Infinity (conference), Saskatoon, Saskatchewan, August 3-6, 2018
  11. SIAM Conference on Mathematical Aspects of Materials Science, Quantum Dynamics Minisymposium (conference), Portland, Oregon, July 9-13, 2018
  12. Duke University, Geometry & Topology Seminar, February 26, 2018
  13. Rényi Institute of Mathematics, Hungarian Academy of Sciences, Algebraic Geometry and Differential Topology Seminar, December 15, 2017
  14. CMS Winter Meeting (conference), University of Waterloo, December 8-11, 2017
  15. Perimeter Institute, Mathematical Physics Seminar (video), December 4, 2017
  16. University of Waterloo, Geometry and Topology Seminar, December 1, 2017
  17. Michigan State University, Institute for Mathematical and Theoretical Physics, Mathematical Physics and Gauge Theory Seminar, October 3, 2017
  18. Postdoctoral Seminar of the Thematic Program on Geometric Analysis, Fields Institute, August 17, 2017
  19. Mathematical Congress of the Americas (conference), Montréal, Quebec, July 24-28, 2017
  20. The Sen Conjecture and Beyond (conference), University College London, June 19-23, 2017
  21. Mathematics of topological phases of matter (thematic program) (video), Simons Center for Geometry and Physics, May 23, 2017
  22. Caltech, Noncommutative Geometry Seminar, March 8, 2017
  23. UQAM, CIRGET Geometry and Topology Seminar, February 24, 2017
  24. University of Waterloo, Geometry and Topology Seminar, September 23, 2016
  25. McMaster University, Geometry and Topology Seminar, September 16, 2016
  26. AMS Fall Sectional Meeting (conference), Rutgers University, November 14-15, 2015
  27. Budapest University of Technology, Geometry Seminar, December 16, 2014
  28. Algebra, Geometry, and Mathematical Physics VI (conference), Tjärnö, October 25-30, 2010
  29. Institute for Particle and Nuclear Physics, Wigner Research Centre for Physics, Hungarian Academy of Sciences, Theoretical Physics Seminar, March 12, 2010



  1. AMS Fall 2019 Southeastern Sectional Meeting, University of Florida, Special Session on “Geometry of Gauge Theoretic Moduli Spaces", November 2-3, 2019
    Co-organizing with Chris Kottke.


  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 ]

  • Ákos Nagy and Gonçalo Oliveira: From vortices to instantons on the Euclidean Schwarzschild manifold (2017)
    Accepted in Communications in Analysis and Geometry
    [ arXiv | abstract ]

  • Ákos Nagy and Gonçalo Oliveira: Complex monopoles I: The Haydys monopole equation (2019)
    [ arXiv | abstract ]
  • Ákos Nagy and Gonçalo Oliveira: Complex monopoles II: The Kapustin–Witten monopole equation (2019)
    [ arXiv | abstract ]

in preparation
  • Benoit Charbonneau and Ákos Nagy: The Nahm transform of BPS monopoles with nonmaximal symmetry breaking

  • Ákos Nagy: Concentration properties of Majorana Spinors in Jackiw–Rossi type theories

  • Anuk Dayaprema, Benoit Charbonneau, Christopher Lang, Ákos Nagy, and Haoyang Yu: Construction of new axially and spherically symmetric BPS monopoles using the Nahm transform

curriculum vitæ

Click here to open my curriculum vitæ,


click here to download it.


You can find my current contact info here.


In the Fall of 2019, I am teaching

functional analysis—math 635