hey there.



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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 William W. Elliott Assistant Research Professor of Mathematics at Duke University, where my postdoc mentors are Mark Stern and Robert Bryant.

I am a co-organizer of the Geometry & Topology Seminar at Duke.

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 am also a Research Collaborator at the Alfréd Rényi Institute of Mathematics, in Budapest.

curriculum vitæ



Click here to open my curriculum vitæ,

or

click here to download it.

research interests


past and current projects, and future plans

I am mainly interested in geometric analysis and its applications to gauge theory and mathematical physics. More concretely, I usually deal with elliptic PDE's coming from physics and/or gauge theories.

Currently I am working on the following projects:

  1. The geometric analysis of SU(N) monopoles with arbitrary symmetry breaking, their moduli spaces, and their the Nahm transform.
    This is a joint project with Benoit Charbonneau.
  2. The L2-geometry of moduli spaces in gauged non-linear sigma models (also referred to as 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 of these projects are coming "soon".

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

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

invited talks

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

teaching



In the Fall of 2018, I am teaching

multivariable calculus
math 212.06 & math 212.10


In the Spring of 2019, I will be teaching

differential geometry
math 421


contact



You can find my current contact info here.