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. I am also a Research Collaborator in the Alfréd Rényi Institute of Mathematics of the Hungarian Academy of Science.
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.
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:
BPS monopoles with arbitrary symmetry breaking, in particular their moduli spaces and Nahm transforms.
I am currently finishing a paper on harmonic spinors and the Nahm transform of BPS monopoles (which is a novel result even in the maximal symmetry case), and another one constructing explicit examples. The first project is a joint project with Benoit Charbonneau, while the second is join work with Benoit Charbonneau together with our undergraduate students, Anuk Dayaprema and Haoyang Yu (Duke), and Christopher Lang (Waterloo).
G2 monopoles and the Donaldson–Segal program.
This is a joint project with Gonçalo Oliveira and Daniel Fadel.
The Keller–Segel equations on curved surfaces.
Haydys and Kapustin–Witten equations in low dimensions.
This is a joint project with Gonçalo Oliveira and Steve Rayan.
Majorana fermions in Jackiw–Rossi type theories.
I am also learning about Higgs bundles and spectral embeddings.
Ákos Nagy and Gonçalo Oliveira: The Haydys monopole equation
To appear in Selecta Mathematica (2020)
Ákos Nagy and Gonçalo Oliveira: From vortices to instantons on the Euclidean Schwarzschild manifold
To appear in Communications in Analysis and Geometry (2020)
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: The Kapustin–Witten equations on ALE and ALF Gravitational Instantons
Ákos Nagy: Conjugate linear deformations of Dirac operators and concentrating Majorana spinors in Jackiw–Rossi type theories
Anuk Dayaprema, Benoit Charbonneau, Christopher Lang, Ákos Nagy, and Haoyang Yu: Construction of new axially and spherically symmetric BPS monopoles using the Nahm transform
Daniel Fadel, Ákos Nagy, and Gonçalo Oliveira: The asymptotic geometry of G2 monopoles
Benoit Charbonneau and Ákos Nagy: The Nahm transform of BPS monopoles with arbitrary symmetry breaking
- University of Saskatchewan, PIMS Applied Mathematics Seminar, 2021
- "Vortex Moduli" Program (conference), International Centre for Theoretical Sciences of the Tata Institute of Fundamental Research, India, February, 2021
- James Madison University, Colloquium, February 24, 2020
- Michigan State University, Geometry and Topology Seminar, February 13, 2020
- Rényi Institute of Mathematics, Hungarian Academy of Sciences, Algebraic Geometry and Differential Topology Seminar, December 20, 2019
- 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
- Universidade Federal Fluminense, Mathematical Physics Day, November 27, 2019
- Novel Vistas on Vortices (conference|video), Simons Center for Geometry and Physics, November 11–15, 2019
- North Carolina State University, Geometry and Topology Seminar, October 22, 2019
- Duke University, Geometry & Topology Seminar, September 9, 2019
- Geometric and analytic aspects of moduli spaces (conference), Leibniz University, Hannover, July 22–26, 2019
- 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
- Mini-conference on Monopoles (conference), Tuscon, Arizona, February 17–21, 2019
- University of Maryland, Geometry and Topology Seminar, February 11, 2019
- Geometry and Physics of Gauge Theories at Infinity (conference), Saskatoon, Saskatchewan, August 3–6, 2018
- SIAM Conference on Mathematical Aspects of Materials Science, Quantum Dynamics Minisymposium (conference), Portland, Oregon, July 9–13, 2018
- Duke University, Geometry & Topology Seminar, February 26, 2018
- Rényi Institute of Mathematics, 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 Particle and Nuclear Physics, Wigner Research Centre for Physics, Hungarian Academy of Sciences, Theoretical Physics Seminar, March 12, 2010
- Geometry and Physics of ALX Metrics in Gauge Theory (workshop), at the American Institute of Mathematics, August 16–20, 2021
Coorganizing with Laura Fredrickson, Steve Rayan, and Hartmut Weiß.
- Geometry, Analysis, and Quantum Physics of Monopoles (workshop), at the Banff International Research Station, January 31–February 5, 2021
Coorganizing with Benoit Charbonneau, Sergey Cherkis, and Jacques Hurtubise.
- AMS Fall 2020 Eastern Sectional Meeting, Pennsylvania State University, Special Session on “Recent Developments in Gauge Theory", October 3–4, 2020
Coorganizing with Siqi He.
- AMS Fall 2019 Southeastern Sectional Meeting, University of Florida, Special Session on “Geometry of Gauge Theoretic Moduli Spaces", November 2–3, 2019
Coorganized with Chris Kottke.