My research focuses on Integrable Systems and their algebraic, geometric, and field-theoretic aspects. For more details, please see my publications and my short CV.
I help students learn mathematics by mixing interactive elements (live polls, group work, explorables) with traditional lecturing. The guiding principle in my approach to teaching is discovery-based learning.
I'm passionate about communicating my love of mathematics and science to the wider community. Below you can get glimpses of my outreach activities: public lectures, SciArt projects and social media (twitter, YouTube). Feel free to get in touch with me if you would like to collaborate with me or invite me to talk at your event/School.
(with Jan Felipe van Diejen)
Eigenfunctions of a discrete elliptic integrable particle model with hyperoctahedral symmetry,
preprint (2021);
arXiv:2108.00499 [math-ph]
(with Jan Felipe van Diejen)
Elliptic Ruijsenaars difference operators, symmetric polynomials, and Wess-Zumino-Witten fusion rings,
preprint (2021);
arXiv:2106.14919 [math.QA]
(with Jan Felipe van Diejen)
Elliptic Ruijsenaars difference operators on bounded partitions,
Int. Math. Res. Notices (2021) rnab251; doi:10.1093/imrn/rnab251;
arXiv:2106.06512 [math-ph]
(with Jan Felipe van Diejen)
Elliptic Racah polynomials,
preprint (2021);
arXiv:2106.07394 [math.CA]
(with Jan Felipe van Diejen)
Elliptic Kac–Sylvester matrix from difference Lamé equation,
Ann. Henri Poincaré 23 (2022) 49-65;
doi:10.1007/s00023-021-01063-y;
SharedIt:rdcu.be/clsVe;
WordPress:blogpost
(with Maxime Fairon)
Superintegrability of Calogero-Moser systems associated with the cyclic quiver,
Nonlinearity 34 (2021) 7662;
doi:10.1088/1361-6544/ac2674;
arXiv:2101.05520 [math-ph]
(with Ádám Gyenge)
Canonical spectral coordinates for the Calogero-Moser space associated with the cyclic quiver,
J. Nonlinear Math. Phy. 27 (2020) 243-266;
doi:10.1080/14029251.2020.1700634;
arXiv:1812.02544 [math-ph]
(with Martin 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]
Integrable many-body systems of Calogero-Ruijsenaars type,
PhD thesis, University of Szeged (2017) 1-218;
doi:10.14232/phd.3595;
arXiv:1705.01333 [math-ph]
(with László 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 Béla Gábor 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 László 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 László 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 Viktor Ayadi and László 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]
LMS Introduction to Integrability Lecture Series Online Lecture Series, London Mathematical Society UK
July, 2020
European Study Group with Industry (ESGI162) Online Workshop, University of Leeds UK
May, 2020
Recent Developments in Integrable Many-Body Systems Workshop, University of Leeds (Postponed due to COVID-19) Leeds, England
May, 2020
Lagrangian and Hamiltonian Structures in Integrable Systems Workshop, University of Leeds (Postponed due to COVID-19) Leeds, England
April, 2020
Poisson Structures and Noncommutative Integrability Workshop, University of Kent (Postponed due to COVID-19) Canterbury, England
April, 2020
24th UK Meeting on Integrable Models, Conformal Field Theory and Related Topics (ICFT 2020) Conference, ICMS (Postponed due to COVID-19) Edinburgh, Scotland
March, 2020
Leeds Festival of Science Public lecture, University of Leeds (Postponed due to COVID-19) Leeds, England
November, 2019
Mathematical Physics and Integrable Systems Seminar Seminar (talk), University of Kent Canterbury, England
October, 2019
Mathematical Physics Seminar Seminar (talk), University of York York, England
September, 2019
Integrability Combinatorics And Representations (ICR 2019) Conference Giens Peninsula, France
August, 2019
Talking Maths in Public Conference, Isaac Newton Institute Cambridge, England
June, 2019
Integrable Systems, Special Functions and Combinatorics Conference, Sabhal Mòr Ostaig Isle of Skye, Scotland
June, 2019
Elliptic Integrable Systems, Special Functions and Quantum Field Theory Conference, Nordita Stockholm, Sweden
June, 2019
Mathematical Physics Colloquium Colloquium, University of Talca Talca, Chile
May, 2019
Conference on Nonlinear Mathematical Physics (JNMP 2019) Conference Santiago, Chile
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, England
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, England
October, 2016
Mathematical Physics Seminar Seminar (talk), University of York York, England
October, 2016
Geometry and Mathematical Physics Seminar Seminar (talk), Loughborough University Loughborough, England
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, England
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.
Contact
Address
Bernoulli Institute for Mathematics, Computer Science and Artificial Intelligence
University of Groningen
PO Box 407
9700 AK Groningen
The Netherlands