The main interests of my research are
Integrable Systems
and their algebraic, geometric, and field-theoretic aspects.
For more, see my publications and my CV.
(with Á. Gyenge)
Canonical spectral coordinates for the Calogero-Moser space associated with the cyclic quiver,
preprint (2018) 1-20;
arXiv:1812.02544 [math-ph]
(with M.A. Hallnäs)
Quantization and explicit diagonalization of new compactified trigonometric Ruijsenaars-Schneider systems,
J. Int. Sys. 3 (2018) xyy015;
doi:10.1093/integr/xyy015;
arXiv:1707.08483 [math-ph]
(with L. Fehér)
Trigonometric and elliptic Ruijsenaars-Schneider systems on the complex projective space,
Lett. Math. Phys. 106 (2016) 1429-1449;
doi:10.1007/s11005-016-0877-z;
arXiv:1605.09736 [math-ph]
(with B.G. Pusztai)
Lax representation of the hyperbolic van Diejen dynamics with two coupling parameters,
Commun. Math. Phys. 354 (2017) 829-864;
doi:10.1007/s00220-017-2935-5;
arXiv:1603.06710 [math-ph]
A simple proof of Sklyanin's formula for canonical spectral coordinates of the rational Calogero-Moser system,
SIGMA 12 (2016) 027;
doi:10.3842/SIGMA.2016.027;
arXiv:1601.01181 [math-ph]
(with L. Fehér)
Equivalence of two sets of Hamiltonians associated with the rational BC$_n$ Ruijsenaars-Schneider-van Diejen system,
Phys. Lett. A 379 (2015) 2685-2689;
doi:10.1016/j.physleta.2015.08.014;
arXiv:1503.01303 [math-ph]
On the derivation of Darboux form for the action-angle dual of trigonometric BC$_n$ Sutherland system,
J. Phys.: Conf. Ser. 563 (2014) 012012;
doi:10.1088/1742-6596/563/1/012012;
arXiv:1410.0301 [math-ph]
(with L. Fehér)
Duality between the trigonometric BC$_n$ Sutherland system and a completed rational Ruijsenaars-Schneider-van Diejen system,
J. Math. Phys. 55 (2014) 102704;
doi:10.1063/1.4898077;
arXiv:1407.2057 [math-ph]
(with V. Ayadi and L. Fehér)
Superintegrability of rational Ruijsenaars-Schneider systems and their action-angle duals, J. Geom. Symmetry Phys. 27 (2012) 27-44;
doi:10.7546/jgsp-27-2012-27-44;
arXiv:1209.1314 [nlin.SI]
Szeged Geometry Day 2017 Conference, Bolyai Institute Szeged, Hungary
July, 2017
Finite Dimensional Integrable Systems in Geometry and Mathematical Physics (FDIS 2017) Conference (talk), Centre de Recerca Matematica (CRM) Barcelona, Spain
June, 2017
21st UK Meeting on Integrable Models, Conformal Field Theory and Related Topics (ICFT 2017) Conference, University of Leeds Leeds, UK
May, 2017
Analysis and Probability Seminar Seminar (talk), Division of Analysis and Probability Theory, Chalmers University of Technology Gothenburg, Sweden
May, 2017
PhD defense Defense (talk), Doctoral School of Physics, University of Szeged Szeged, Hungary
April, 2017
Theoretical Physics Seminar Seminar (talk), Department of Theoretical Physics, University of Szeged Szeged, Hungary
March, 2017
Elliptic Hypergeometric Functions in Combinatorics, Integrable Systems and Physics Workshop (poster), Erwin Schrödinger Institute, University of Vienna Vienna, Austria
November, 2016
Kerékjártó Geometry Seminar Seminar (talk), University of Szeged Szeged, Hungary
October, 2016
Integrable Systems Seminar Seminar (talk), University of Leeds Leeds, UK
October, 2016
Mathematical Physics Seminar Seminar (talk), University of York York, UK
October, 2016
Geometry and Mathematical Physics Seminar Seminar (talk), Loughborough University Loughborough, UK
August, 2016
Recent Advances in Quantum Integrable Systems (RAQIS'16) Conference (poster), University of Geneva Geneva, Switzerland
July, 2016
Geometric and Algebraic Aspects of Integrability Summer School & Conference (poster), London Mathematical Society Durham, UK
July, 2016
Poisson Geometry in Mathematics and Physics (Poisson 2016) Conference (poster), ETH Zurich Zurich, Switzerland
June, 2016
Poisson Geometry in Mathematics and Physics (Poisson 2016) Summer School, University of Geneva Geneva, Switzerland
June, 2016
Integrable Systems Conference (poster), Congressi Stefano Franscini (CSF), ETH Zürich Ascona, Switzerland
April, 2016
Vector Bundles Learning Seminar Seminar (talk), Eotvos Lorand University Budapest, Hungary
March, 2016
Physics Workshop Seminar (talk), Eotvos Lorand Kollegium, University of Szeged Szeged, Hungary
March, 2016
Mathematics PhD Seminar Seminar (talk), Bolyai Institute, University of Szeged Szeged, Hungary
November, 2015
Mathematics Workshop Seminar (talk), Eotvos Lorand Kollegium, University of Szeged Szeged, Hungary
October, 2015
Mathematics PhD Seminar Seminar (talk), Bolyai Institute, University of Szeged Szeged, Hungary
September, 2015
Analysis Seminar Seminar (talk), Institute of Mathematics, BME Budapest, Hungary
July, 2015
Finite Dimensional Integrable Systems in Geometry and Mathematical Physics (FDIS 2015) Conference (poster), Stefan Banach International Mathematical Center Bedlewo, Poland
June, 2015
Integrable systems and Quantum Symmetries (ISQS-23) Conference (contributed talk), Czech Technical University in Prague Prague, Czech Republic
April, 2015
Physics PhD Seminar Seminar (talk), Institute of Physics, University of Szeged Szeged, Hungary
April, 2015
Representation Theory Seminar Seminar (talk), KdV Institute for Mathematics, University of Amsterdam Amsterdam, The Netherlands
January, 2015
Vertex algebras, W-algebras, and applications (Part II) Winter School, INdAM Intensive Period - "Perspectives in Lie Theory" Scuola Normale Superiore, Pisa, Italy
December, 2014
Vertex algebras, W-algebras, and applications (Part I) Winter School, INdAM Intensive Period - "Perspectives in Lie Theory" Scuola Normale Superiore, Pisa, Italy
October, 2014
Mathematics PhD Seminar Seminar (talk), Bolyai Institute, University of Szeged Szeged, Hungary
September, 2014
The 3rd summer school on geometry of differential equations (GDEQ-3) Summer School, Silesian University in Opava Opava, Czech Republic
June, 2014
Integrable systems and Quantum Symmetries (ISQS-22) Conference (contributed talk), Czech Technical University in Prague Prague, Czech Republic
June, 2014
Conference for PhD students in physics (DOFFI-3) Conference (contributed talk), Roland Eotvos Physical Society Balatonfenyves, Hungary
December, 2013
Theoretical Physics Seminar Seminar (talk), Department of Theoretical Physics, University of Szeged Szeged, Hungary
September, 2013
Advanced Course on Geometry and Dynamics of Integrable Systems Summer School, Centre de Recerca Matematica (CRM) Barcelona, Spain
April, 2013
XXXI. National Scientific Students' Associations Conference (OTDK) Conference (talk), Budapest University of Technology and Economics Budapest, Hungary
August, 2012
Quantum gravity Summer School, University of Szeged Szeged, Hungary
April, 2012
Scientific Students' Associations Conference (TDK) Conference (talk), University of Szeged Szeged, Hungary
If you are a history of science nerd like me, you might enjoy browsing my academic family tree.
I made (a variant of) it as a gift for my advisor's birthday.