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.

From July 2020, I will be a postdoc at the University of California, Santa Barbara, where my mentor will be Xianzhe Dai.

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 coorganize the Geometry & Topology Seminar at Duke (with Ziva Myer).

research interests


past work, current projects, and future plans


My main interests are geometric analysis, gauge theory, and mathematical physics. More concretely, I usually deal with elliptic partial differential equations coming from physics and 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 arbitrary symmetry breaking, in particular their moduli spaces and Nahm transforms.

    I am currently finishing a paper on harmonic spinors and the 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 and Haoyang Yu (Duke), and Christopher Lang (Cambridge).

  2. G2 monopoles and the Donaldson–Segal program.

    This is a joint project with Gonçalo Oliveira.

  3. Haydys and Kapustin–Witten equations in low dimensions.

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

  4. Majorana fermions in Jackiw–Rossi type theories.

I am also learning about Higgs bundles and spectral embeddings.



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 ]

accepted
  • Ákos Nagy and Gonçalo Oliveira: From vortices to instantons on the Euclidean Schwarzschild manifold
    To appear in Communications in Analysis and Geometry
    [ arXiv | abstract ]
  • Ákos Nagy and Gonçalo Oliveira: The Haydys monopole equation
    To appear in Selecta Mathematica
    [ arXiv | abstract ]

submitted
  • Ákos Nagy and Gonçalo Oliveira: The Kapustin–Witten equations on ALE and ALF Gravitational Instantons
    [ arXiv | abstract ]

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

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

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

invited talks

    future

  1. University of Saskatchewan, PIMS Applied Mathematics Seminar, 2021
  2. "Vortex Moduli" Program (conference), International Centre for Theoretical Sciences of the Tata Institute of Fundamental Research, India, February, 2021
  3. past

  4. James Madison University, Colloquium, February 24, 2020
  5. Michigan State University, Geometry and Topology Seminar, February 13, 2020
  6. Rényi Institute of Mathematics, Hungarian Academy of Sciences, Algebraic Geometry and Differential Topology Seminar, December 20, 2019
  7. SIAM Conference on Analysis of Partial Differential Equations, Minisymposium on Gauge Theory and Partial Differential Equations (conference|slides), La Quinta, California, December 11–14, 2019
  8. Universidade Federal Fluminense, Mathematical Physics Day, November 27, 2019
  9. Novel Vistas on Vortices (conference|video), Simons Center for Geometry and Physics, November 11–15, 2019
  10. North Carolina State University, Geometry and Topology Seminar, October 22, 2019
  11. Duke University, Geometry & Topology Seminar, September 9, 2019
  12. Geometric and analytic aspects of moduli spaces (conference), Leibniz University, Hannover, July 22–26, 2019
  13. 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
  14. Mini-conference on Monopoles (conference), Tuscon, Arizona, February 17–21, 2019
  15. University of Maryland, Geometry and Topology Seminar, February 11, 2019
  16. Geometry and Physics of Gauge Theories at Infinity (conference), Saskatoon, Saskatchewan, August 3–6, 2018
  17. SIAM Conference on Mathematical Aspects of Materials Science, Quantum Dynamics Minisymposium (conference), Portland, Oregon, July 9–13, 2018
  18. Duke University, Geometry & Topology Seminar, February 26, 2018
  19. Rényi Institute of Mathematics, Hungarian Academy of Sciences, Algebraic Geometry and Differential Topology Seminar, December 15, 2017
  20. CMS Winter Meeting (conference), University of Waterloo, December 8–11, 2017
  21. Perimeter Institute, Mathematical Physics Seminar (video), December 4, 2017
  22. University of Waterloo, Geometry and Topology Seminar, December 1, 2017
  23. Michigan State University, Institute for Mathematical and Theoretical Physics, Mathematical Physics and Gauge Theory Seminar, October 3, 2017
  24. Postdoctoral Seminar of the Thematic Program on Geometric Analysis, Fields Institute, August 17, 2017
  25. Mathematical Congress of the Americas (conference), Montréal, Quebec, July 24–28, 2017
  26. The Sen Conjecture and Beyond (conference), University College London, June 19–23, 2017
  27. Mathematics of topological phases of matter (thematic program|video), Simons Center for Geometry and Physics, May 23, 2017
  28. Caltech, Noncommutative Geometry Seminar, March 8, 2017
  29. UQAM, CIRGET Geometry and Topology Seminar, February 24, 2017
  30. University of Waterloo, Geometry and Topology Seminar, September 23, 2016
  31. McMaster University, Geometry and Topology Seminar, September 16, 2016
  32. AMS Fall Sectional Meeting (conference), Rutgers University, November 14–15, 2015
  33. Budapest University of Technology, Geometry Seminar, December 16, 2014
  34. Algebra, Geometry, and Mathematical Physics VI (conference), Tjärnö, October 25–30, 2010
  35. Institute for Particle and Nuclear Physics, Wigner Research Centre for Physics, Hungarian Academy of Sciences, Theoretical Physics Seminar, March 12, 2010

organization

    future

  1. Geometry and Physics of ALX Metrics in Gauge Theory (workshop), at the American Institute of Mathematics, August 16–20, 2021
    Coorganizing with Laura Fredrickson, Steve Rayan, and Hartmut Weiß.

  2. Geometry, Analysis, and Quantum Physics of Monopoles (workshop), at the Banff International Research Station, January 31–February 5, 2021
    Coorganizing with Benoit Charbonneau, Sergey Cherkis, and Jacques Hurtubise.

  3. AMS Fall 2020 Eastern Sectional Meeting, Pennsylvania State University, Special Session on “Recent Developments in Gauge Theory", October 3–4, 2020
    Coorganizing with Siqi He.
  4. past

  5. AMS Fall 2019 Southeastern Sectional Meeting, University of Florida, Special Session on “Geometry of Gauge Theoretic Moduli Spaces", November 2–3, 2019
    Coorganized with Chris Kottke.

curriculum vitæ



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contact



You can find my current contact info here.

teaching



In the Spring of 2020, I am teaching

Linear Algebra & Applications—math 221 (all sections)

Minicourse on Functional Analysis