this should be a picture of me. if it's not here, then just know i'm pretty

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.

I am a Visiting Assistant Professor at the University of California, Santa Barbara, where my mentor is Xianzhe Dai.

Before moving to California, I was a William W. Elliott Assistant Research Professor of Mathematics at Duke University, a Fields Postdoctoral Fellow at the Fields Institute, and a Postdoctoral Fellow at the University of Waterloo.

research


past work, current projects, and future plans


My main interests are geometric analysis, gauge theory, and mathematical physics. More concretely, I usually deal with 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 and their moduli spaces and Nahm transforms.

    This consists of of two ongoing projects:
    The first project is a joint project with Benoit Charbonneau.
    The second is joint work with Benoit Charbonneau, Anuk Dayaprema, Christopher Lang, and Haoyang Yu.

  2. \( \mathrm{G}_2 \)-monopoles and the Donaldson–Segal program.

    This is a joint project with Gonçalo Oliveira and Daniel Fadel.

  3. Construction of unstable Ginzburg–Landau fields.

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

  4. Keller–Segel equations on curved planes.

    This is a joint project with Israel Michael Sigal.

  5. Majorana spinors in Jackiw–Rossi type theories.




papers


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

published
  1. Ákos Nagy and Gonçalo Oliveira: The Haydys monopole equation
    Selecta Mathematica 26, 58 (2020).
    [ arXiv | doi | abstract ]
  2. Ákos Nagy: Irreducible Ginzburg–Landau fields in dimension 2
    The Journal of Geometric Analysis, Volume 28, Issue 2, 1853–1868 (2018)
    [ arXiv | doi | abstract ]
  3. Ákos Nagy: The Berry connection of the Ginzburg–Landau vortices
    Communications in Mathematical Physics, 350(1), 105–128 (2017)
    [ arXiv | doi | abstract ]
  4. Gábor Etesi and Ákos Nagy: S-duality in Abelian gauge theory revisited
    Journal of Geometry and Physics 61, 693–707 (2011)
    [ arXiv | doi | abstract ]

submitted
  • Daniel Fadel, Ákos Nagy, and Gonçalo Oliveira: The asymptotic geometry of \( \mathit{G_2} \)-monopoles
    [ arXiv | abstract ]
  • 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 BPS monopoles with continuous symmetries via the Nahm transform

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

  • Ákos Nagy: Conjugate linear deformations of Dirac operators and concentrating Majorana spinors in Jackiw–Rossi type theories

talks

    future

  1. University of Saskatchewan, PIMS Applied Mathematics Seminar, March 25, 2021
  2. past

  3. University of Waterloo, Geometry and Topology Seminar (slides), November 20, 2020
  4. University of California, Santa Barbara, Differential Geometry Seminar (slides), October 9, 2020
  5. Stanford University, Geometry Seminar, March 11, 2020
    (Canceled due to the Covid-19 pandemic.)
  6. James Madison University, Colloquium, February 24, 2020
  7. Michigan State University, Geometry and Topology Seminar, February 13, 2020
  8. Alfréd Rényi Institute of Mathematics, Hungarian Academy of Sciences, Algebraic Geometry and Differential Topology Seminar, December 20, 2019
  9. 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
  10. Universidade Federal Fluminense, Mathematical Physics Day, November 27, 2019
  11. Novel Vistas on Vortices (conference|video), Simons Center for Geometry and Physics, November 11–15, 2019
  12. North Carolina State University, Geometry and Topology Seminar, October 22, 2019
  13. Duke University, Geometry & Topology Seminar, September 9, 2019
  14. Geometric and analytic aspects of moduli spaces (conference), Leibniz University, Hannover, July 22–26, 2019
  15. 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
  16. Mini-conference on Monopoles (conference), Tuscon, Arizona, February 17–21, 2019
  17. University of Maryland, Geometry and Topology Seminar, February 11, 2019
  18. Geometry and Physics of Gauge Theories at Infinity (conference), Saskatoon, Saskatchewan, August 3–6, 2018
  19. SIAM Conference on Mathematical Aspects of Materials Science, Quantum Dynamics Minisymposium (conference), Portland, Oregon, July 9–13, 2018
  20. Duke University, Geometry & Topology Seminar, February 26, 2018
  21. Alfréd Rényi Institute of Mathematics, Hungarian Academy of Sciences, Algebraic Geometry and Differential Topology Seminar, December 15, 2017
  22. CMS Winter Meeting (conference), University of Waterloo, December 8–11, 2017
  23. Perimeter Institute, Mathematical Physics Seminar (video), December 4, 2017
  24. University of Waterloo, Geometry and Topology Seminar, December 1, 2017
  25. Michigan State University, Institute for Mathematical and Theoretical Physics, Mathematical Physics and Gauge Theory Seminar, October 3, 2017
  26. Postdoctoral Seminar of the Thematic Program on Geometric Analysis, Fields Institute, August 17, 2017
  27. Mathematical Congress of the Americas (conference), Montréal, Quebec, July 24–28, 2017
  28. The Sen Conjecture and Beyond (conference), University College London, June 19–23, 2017
  29. Mathematics of topological phases of matter (thematic program|video), Simons Center for Geometry and Physics, May 23, 2017
  30. Caltech, Noncommutative Geometry Seminar, March 8, 2017
  31. UQAM, CIRGET Geometry and Topology Seminar, February 24, 2017
  32. University of Waterloo, Geometry and Topology Seminar, September 23, 2016
  33. McMaster University, Geometry and Topology Seminar, September 16, 2016
  34. AMS Fall Sectional Meeting (conference), Rutgers University, November 14–15, 2015
  35. Budapest University of Technology, Geometry Seminar, December 16, 2014
  36. Algebra, Geometry, and Mathematical Physics VI (conference), Tjärnö, October 25–30, 2010
  37. 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 29–September 2, 2022
    Coorganizing with Laura Fredrickson, Steve Rayan, and Hartmut Weiß.

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

  4. AMS Fall Eastern Sectional Meeting (online), Special Session on “Recent Developments in Gauge Theory", October 3–4, 2020
    Coorganized with Siqi He.

  5. AMS Fall 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



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