this should be a picture of me. if it's not here, then just know that 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 actively working on right now:

  1. BPS monopoles with arbitrary symmetry breaking and their moduli spaces and Nahm transforms.
    This is a joint project with Benoit Charbonneau.

  2. \( \mathrm{G}_2 \)-monopoles and the Donaldson–Segal program.
    This is a joint project with Gonçalo Oliveira, Daniel Fadel, Saman Habibi Esfahani, and Lorenzo Foscolo.

  3. Hyperbolic Bloch transformation.
    This is a joint project with Steve Rayan.

  4. Instantons on \( \mathbb{P}^1 \times \mathbb{C}^2 \).
    This is a joint project with Donghao Wang.

  5. Keller–Segel equations on curved planes.
    This is a joint project with Israel Michael Sigal.



papers
submitted
  1. Benoit Charbonneau and Ákos Nagy: On the construction of monopoles with arbitrary symmetry breaking
    [ arXiv | abstract ]
  2. Ákos Nagy: Conjugate linear perturbations of Dirac operators and Majorana fermions
    [ arXiv | abstract ]
  3. Ákos Nagy and Gonçalo Oliveira: Nonminimal solutions to the Ginzburg–Landau equations
    Revisions requested by the Journal of the London Mathematical Society
    [ arXiv | abstract ]
  4. published/accepted
  5. Daniel Fadel, Ákos Nagy, and Gonçalo Oliveira: The asymptotic geometry of \( \mathit{G_2} \)-monopoles
    To appear in the Memoirs of the American Mathematical Society
    [ reference | arXiv | abstract ]
  6. Ákos Nagy and Gonçalo Oliveira: From vortices to instantons on the Euclidean Schwarzschild manifold
    To appear in Communications in Analysis and Geometry
    [ reference | arXiv | abstract ]
  7. Ákos Nagy: Stationary solutions to the Keller–Segel equation on curved planes
    Proceedings of the Royal Society of Edinburgh Section A
    [ doi | arXiv | abstract ]
  8. Benoit Charbonneau, Anuk Dayaprema, C. J. Lang, Ákos Nagy, and Haoyang Yu: Construction of Nahm data and BPS monopoles with continuous symmetries
    Journal of Mathematical Physics, 63, Issue 1, 013507, Editor's Pick (2022)
    [ doi | arXiv | abstract ]
  9. Ákos Nagy and Gonçalo Oliveira: The Kapustin–Witten equations on ALE and ALF gravitational instantons
    Letters in Mathematical Physics, 111, Issue 4, Article: 87 (2021)
    [ doi | arXiv | abstract ]
  10. Ákos Nagy and Gonçalo Oliveira: The Haydys monopole equation
    Selecta Mathematica, 26, 58 (2020).
    [ doi | arXiv | abstract ]
  11. Ákos Nagy: Irreducible Ginzburg–Landau fields in dimension 2
    The Journal of Geometric Analysis, Volume 28, Issue 2, 1853–1868 (2018)
    [ doi | arXiv | abstract ]
  12. Ákos Nagy: The Berry connection of the Ginzburg–Landau vortices
    Communications in Mathematical Physics, 350(1), 105–128 (2017)
    [ doi | arXiv | abstract ]
  13. Gábor Etesi and Ákos Nagy: S-duality in Abelian gauge theory revisited
    Journal of Geometry and Physics, 61, 693–707 (2011)
    [ doi | arXiv | abstract ]
in preparation
  • Steve Rayan and Ákos Nagy: The hyperbolic Bloch transform

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

talks

    future

  1. Vortex Moduli (conference), International Centre for Theoretical Sciences (ICTS) of the Tata Institute of Fundamental Research, February 6–17, 2023
  2. New four-dimensional gauge theories (conference), Mathematical Sciences Research Institute, October 24–28, 2022
  3. past

  4. University of Oregon, Geometric Analysis Seminar (slides), April 19, 2022
  5. Louisiana State University, Mathematical Physics and Representation Theory Seminar, April 4, 2022
  6. Stony Brook University, Low Dimensional Topology and Gauge Theory Seminar (slides), March 22, 2022
  7. Vanderbilt University, PDE Seminar, December 3, 2021
  8. University of Waterloo, Geometry and Topology Seminar (slides), October 8, 2021
  9. University of California, Santa Barbara, Differential Geometry Seminar, October 1, 2021
  10. Instituto Superior Técnico, Universidade de Lisboa, Quantum Matter meets Maths (QM3) (slides|video), July 5, 2021
  11. University of Saskatchewan, PIMS Applied Mathematics Colloquium (slides), March 25, 2021
  12. Online North East PDE and Analysis Seminar (ONEPAS) (slides|video), March 11, 2021
  13. University of Waterloo, Geometry and Topology Seminar (slides), November 20, 2020
  14. University of California, Santa Barbara, Differential Geometry Seminar (slides), October 9, 2020
  15. Stanford University, Geometry Seminar, March 11, 2020 (Canceled due to the Covid-19 pandemic.)
  16. James Madison University, Colloquium, February 24, 2020
  17. Michigan State University, Geometry and Topology Seminar, February 13, 2020
  18. Alfréd Rényi Institute of Mathematics, Hungarian Academy of Sciences, Algebraic Geometry and Differential Topology Seminar, December 20, 2019
  19. 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
  20. Universidade Federal Fluminense, Mathematical Physics Day, November 27, 2019
  21. Novel Vistas on Vortices (conference|video), Simons Center for Geometry and Physics, November 11–15, 2019
  22. North Carolina State University, Geometry and Topology Seminar, October 22, 2019
  23. Duke University, Geometry & Topology Seminar, September 9, 2019
  24. Geometric and analytic aspects of moduli spaces (conference), Leibniz University, Hannover, July 22–26, 2019
  25. 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
  26. Mini-conference on Monopoles (conference), Tuscon, Arizona, February 17–21, 2019
  27. University of Maryland, Geometry and Topology Seminar, February 11, 2019
  28. Geometry and Physics of Gauge Theories at Infinity (conference), Saskatoon, Saskatchewan, August 3–6, 2018
  29. SIAM Conference on Mathematical Aspects of Materials Science, Quantum Dynamics Minisymposium (conference), Portland, Oregon, July 9–13, 2018
  30. Duke University, Geometry & Topology Seminar, February 26, 2018
  31. Alfréd Rényi Institute of Mathematics, Hungarian Academy of Sciences, Algebraic Geometry and Differential Topology Seminar, December 15, 2017
  32. CMS Winter Meeting (conference), University of Waterloo, December 8–11, 2017
  33. Perimeter Institute, Mathematical Physics Seminar (video), December 4, 2017
  34. University of Waterloo, Geometry and Topology Seminar, December 1, 2017
  35. Michigan State University, Institute for Mathematical and Theoretical Physics, Mathematical Physics and Gauge Theory Seminar, October 3, 2017
  36. Postdoctoral Seminar of the Thematic Program on Geometric Analysis, Fields Institute, August 17, 2017
  37. Mathematical Congress of the Americas (conference), Montréal, Quebec, July 24–28, 2017
  38. The Sen Conjecture and Beyond (conference), University College London, June 19–23, 2017
  39. Mathematics of topological phases of matter (thematic program|video), Simons Center for Geometry and Physics, May 23, 2017
  40. Caltech, Noncommutative Geometry Seminar, March 8, 2017
  41. UQAM, CIRGET Geometry and Topology Seminar, February 24, 2017
  42. University of Waterloo, Geometry and Topology Seminar, September 23, 2016
  43. McMaster University, Geometry and Topology Seminar, September 16, 2016
  44. AMS Fall Sectional Meeting (conference), Rutgers University, November 14–15, 2015
  45. Budapest University of Technology, Geometry Seminar, December 16, 2014
  46. Algebra, Geometry, and Mathematical Physics VI (conference), Tjärnö, October 25–30, 2010
  47. Institute for Particle and Nuclear Physics, Wigner Research Centre for Physics, Hungarian Academy of Sciences, Theoretical Physics Seminar, March 12, 2010


organization


I am coorganizing the UCSB Differential Geometry Seminar. You can find our schedule here.

conferences and workshops

    future

  1. Geometry and Physics of ALX Metrics in Gauge Theory (workshop), at the American Institute of Mathematics, July 25–29, 2022
    Coorganizing with Laura Fredrickson, Steve Rayan, and Hartmut Weiß.
  2. past

  3. Joint Mathematics Meeting, Seattle, Special Session on “Intersections of Geometric Analysis and Mathematical Physics", April 6–9, 2022
    Coorganizing with Xianzhe Dai.

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

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

  6. 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



Click here to open my curriculum vitæ,

or

click here to download it.

contact



You can find my current contact info here.