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 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.

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.

curriculum vitæ



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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 interested in/working on the following projects:

  1. The L2-geometry of moduli spaces in gauged non-linear σ models.
    This is a joint work with Nuno Romão.
  2. Construction of BPS monopoles with arbitrary symmetry breaking via the Nahm transform.
    This is a joint work with Benoit Charbonneau.
  3. Construction of SU(N) instantons on asymptotically locally flat (ALF) black hole metrics.
    This is a joint work with Gonçalo Oliveira and a continuation of a previous project.
Preprints of these projects are coming "soon".

I am also trying to learn 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

    future

  1. SIAM Conference on Mathematical Aspects of Materials Science 2018, Quantum Dynamics Minisymposium (conference), Portland, Oregon, July 9-13, 2018
  2. past

  3. Rényi Institute, Hungarian Academy of Sciences, Algebraic Geometry and Differential Topology Seminar, December 15, 2017
  4. CMS Winter Meeting (conference), University of Waterloo, December 8-11, 2017
  5. Perimeter Institute, Mathematical Physics Seminar — video, December 4, 2017
  6. University of Waterloo, Geometry and Topology Seminar, December 1, 2017
  7. Michigan State University, Institute for Mathematical and Theoretical Physics, Mathematical Physics and Gauge Theory Seminar, October 3, 2017
  8. The Fields Institute, Thematic Program on Geometric Analysis — Postdoctoral Seminar, August 17, 2017
  9. Mathematical Congress of the Americas (conference), Montréal, Quebec, July 24-28, 2017
  10. The Sen Conjecture and Beyond (conference), University College London, June 19-23, 2017
  11. Mathematics of topological phases of matter (thematic program) — video, Simons Center for Geometry and Physics, May 23, 2017
  12. Caltech, Noncommutative Geometry Seminar, March 8, 2017
  13. UQAM, CIRGET Geometry and Topology Seminar, February 24, 2017
  14. University of Waterloo, Geometry and Topology Seminar, September 23, 2016
  15. McMaster University, Geometry and Topology Seminar, September 16, 2016
  16. AMS Fall Sectional Meeting (conference), Rutgers University, November 14-15, 2015
  17. Budapest University of Technology, Geometry Seminar, December 16, 2014
  18. Algebra, Geometry, and Mathematical Physics VI (conference). Tjärnö, October 25-30, 2010
  19. 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 (2017)
    [ 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 ]
in preparation
  • Benoit Charbonneau and Ákos Nagy: Monopoles with non-maximal symmetry breaking
  • Ákos Nagy and Nuno Romão: The geometry of non-linear vortex moduli spaces
  • Ákos Nagy: Concentrating Majorana spinors on spinc manifolds

teaching



In the Spring semester of 2018 I am teaching MATH 221.01 and MATH 221.02 (Linear Algebra and Applications) at Duke University.

Details for my students can be found here.

contact



You can find current contact info here.