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.
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:
Preprints of these projects are coming "soon".
The L2-geometry of moduli spaces in gauged non-linear sigma models (also referred to as Hamiltonian Gromov–Witten theory).
This is a joint work with Nuno Romão.
Construction of SU(N) monopoles with arbitrary symmetry breaking via the Nahm transform.
This is a joint work with Benoit Charbonneau.
Construction of SU(N) instantons on asymptotically locally flat (ALF) black hole metrics via solving Kazdan–Warner type equations.
This is a joint work with Gonçalo Oliveira and a continuation of a previous project.
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.
- Geometry and Physics of Gauge Theories at Infinity (conference), Saskatoon, Saskatchewan, August 3-6, 2018
- SIAM Annual Meeting 2018, Quantum Dynamics Minisymposium (conference), Portland, Oregon, July 9-13, 2018
- Duke University, Geometry & Topology Seminar, February 26, 2018
- Rényi Institute, Hungarian Academy of Sciences, Algebraic Geometry and Differential Topology Seminar, December 15, 2017
- CMS Winter Meeting (conference), University of Waterloo, December 8-11, 2017
- Perimeter Institute, Mathematical Physics Seminar — video, December 4, 2017
- University of Waterloo, Geometry and Topology Seminar, December 1, 2017
- Michigan State University, Institute for Mathematical and Theoretical Physics, Mathematical Physics and Gauge Theory Seminar, October 3, 2017
- Postdoctoral Seminar of the Thematic Program on Geometric Analysis, Fields Institute, August 17, 2017
- Mathematical Congress of the Americas (conference), Montréal, Quebec, July 24-28, 2017
- The Sen Conjecture and Beyond (conference), University College London, June 19-23, 2017
- Mathematics of topological phases of matter (thematic program) — video, Simons Center for Geometry and Physics, May 23, 2017
- Caltech, Noncommutative Geometry Seminar, March 8, 2017
- UQAM, CIRGET Geometry and Topology Seminar, February 24, 2017
- University of Waterloo, Geometry and Topology Seminar, September 23, 2016
- McMaster University, Geometry and Topology Seminar, September 16, 2016
- AMS Fall Sectional Meeting (conference), Rutgers University, November 14-15, 2015
- Budapest University of Technology, Geometry Seminar, December 16, 2014
- Algebra, Geometry, and Mathematical Physics VI (conference). Tjärnö, October 25-30, 2010
- Institute for Psection and Nuclear Physics, Wigner Research Centre for Physics, Hungarian Academy of Sciences, Theoretical Physics Seminar, March 12, 2010
Ákos Nagy: Irreducible Ginzburg–Landau fields in dimension 2
The Journal of Geometric Analysis, Volume 28, Issue 2, 1853–1868 (2018)
Ákos Nagy: The Berry connection of the Ginzburg–Landau vortices
Communications in Mathematical Physics, 350(1), 105-128 (2017)
Gábor Etesi and Ákos Nagy: S-duality in Abelian gauge theory revisited
Journal of Geometry and Physics 61, 693-707 (2011)
Ákos Nagy and Gonçalo Oliveira: From vortices to instantons on the Euclidean Schwarzschild manifold