Tamás Görbe

Research

Research Papers      arXiv     ResearchGate     ORCID     Google Scholar

  1. (with Jan Felipe van Diejen) Elliptic Ruijsenaars difference operators, symmetric polynomials, and Wess-Zumino-Witten fusion rings, Sel. Math. New Ser. 29: 80 (2023); doi:10.1007/s00029-023-00883-6; SharedIt:rdcu.be/dpuwe; arXiv:2106.14919 [math.QA]
  2. (with Jan Felipe van Diejen) Eigenfunctions of a discrete elliptic integrable particle model with hyperoctahedral symmetry, Commun. Math. Phys. 392 (2022) 279–305; doi:10.1007/s00220-022-04350-9; SharedIt:rdcu.be/cJQN9; arXiv:2108.00499 [math-ph]
  3. (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
  4. (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]
  5. (with Jan Felipe van Diejen) Elliptic Racah polynomials, Lett. Math. Phys. 112 (2022) 66; doi:10.1007/s11005-022-01555-w; SharedIt:rdcu.be/cQO9D; arXiv:2106.07394 [math.CA]
  6. (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]
  7. (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]
  8. (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]
  9. 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]
  10. (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]
  11. (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]
  12. (with László Fehér) The full phase space of a model in the Calogero-Ruijsenaars family, J. Geom. Phys. 115 (2017) 139-149; doi:10.1016/j.geomphys.2016.04.018; arXiv:1603.02877 [math-ph]
  13. 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]
  14. (with László Fehér) On a Poisson-Lie deformation of the BC$_n$ Sutherland system, Nucl. Phys. B 901 (2015) 85-114; doi:10.1016/j.nuclphysb.2015.10.008; arXiv:1508.04991 [math-ph]
  15. (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]
  16. 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]
  17. (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]
  18. (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]

Posters

  1. Compactified Ruijsenaars-Schneider systems, Quantum Integrability and Quantum Schubert Calculus; [PDF, 2.4 MB]
  2. Elliptic Ruijsenaars-Schneider models on the complex projective space, Elliptic Hypergeometric Functions in Combinatorics, Integrable Systems and Physics 2017; [PDF, 519 kB]
  3. Lax representation of the hyperbolic van Diejen system with two coupling parameters, Integrable Systems Conference at the CSF Ascona 2016; [PDF, 4.4 MB]
  4. The trigonometric BC$_n$ Sutherland system: action-angle duality and applications, Finite Dimensional Integrable Systems in Geometry and Mathematical Physics 2015; [PDF, 82 kB]

PhD Thesis

Integrable many-body systems of Calogero-Ruijsenaars type, 2017; doi:10.14232/phd.3595
arXiv:1705.01333 [math-ph]; url: http://doktori.bibl.u-szeged.hu/3595/

Bachelor & Master Theses (written in Hungarian)

Lie groups and related algebraic structures, 2010.

Group-theoretic treatment of integrable systems, 2013.

Scientific Students' Associations Essay (written in Hungarian)

The BC$_n$ Sutherland model of charged particles as the reduction of free particles on Lie group SU$(n+1,n)$, spring 2012.

Textbooks, Supplementary Material (published in Hungarian)

  1. (with I. Gyémánt) Linear Algebra for Physicists, Polygon Lecture Note Series 49, Szeged University Press, Szeged, 2011.
  2. Lineáris algebra fizikusoknak - Internetes melléklet, 2011.
  3. Lineáris algebra feladatgyűjtemény, 2011.

Teaching

AUTUMN, 2022

CALCULUS 1

CALCULUS 2

COMPLEX ANALYSIS

INTEGRABLE SYSTEMS


Events

(Conferences, Summer/Winter Schools, Seminars, Workshops)

Upcoming events

June, 2023Dualities and Symmetries in Integrable Systems
Workshop
Isle of Skye, UK
June, 2023Finite Dimensional Integrability in Mathematical Physics
Workshop
SwissMAP, Les Diablerets, CH
February, 2023UG Bachelor's Online Open Day
Public Lecture
University of Groningen, NL
January, 2023Integrable Systems Symposium
Symposium
University of Groningen, NL

Past events

November, 2022Integrable Systems Seminar
Seminar
University of Leeds, UK
October, 2022UG Bachelor's Open Day
Public Lecture
University of Groningen, NL
October, 2022FMF LES on Kepler's Laws
Public Lecture
University of Groningen, NL
June, 2022Modern Teaching in Physics
Education Seminar
University of Groningen, NL
June, 2022Floris Takens Seminar
Seminar
University of Groningen, NL
February, 2022PIE for lunch
Education Seminar
University of Groningen, NL
February, 2022WAYTA Seminar in Representation Theory and Mathematical Physics
Seminar
University of Amsterdam, NL
December, 2021Virtual Integrable Systems Seminars (VISS)
Online Seminar
UK
January, 2021Teaching and Learning Mathematics Online (TALMO)
Online Workshop
UK
December, 2020Share, Adopt, Adapt Workshop (SAAW)
Online Workshop (LITE), University of Leeds
UK
December, 2020An Elementary Derivation of Kepler's Laws of Planetary Motion
Live Public Lecture via YouTube
October, 2020LMS Introduction to Integrability Lecture Series
Online Lecture Series, London Mathematical Society
UK
July, 2020European Study Group with Industry (ESGI162)
Online Workshop, University of Leeds
UK
May, 2020Recent Developments in Integrable Many-Body Systems
Workshop, University of Leeds (Postponed due to COVID-19)
Leeds, England
May, 2020Lagrangian and Hamiltonian Structures in Integrable Systems
Workshop, University of Leeds (Postponed due to COVID-19)
Leeds, England
April, 2020Poisson Structures and Noncommutative Integrability
Workshop, University of Kent (Postponed due to COVID-19)
Canterbury, England
April, 202024th UK Meeting on Integrable Models, Conformal Field Theory and Related Topics (ICFT 2020)
Conference, ICMS (Postponed due to COVID-19)
Edinburgh, Scotland
March, 2020Leeds Festival of Science
Public lecture, University of Leeds (Postponed due to COVID-19)
Leeds, England
November, 2019Mathematical Physics and Integrable Systems Seminar
Seminar (talk), University of Kent
Canterbury, England
October, 2019Mathematical Physics Seminar
Seminar (talk), University of York
York, England
September, 2019Integrability Combinatorics And Representations (ICR 2019)
Conference
Giens Peninsula, France
August, 2019Talking Maths in Public
Conference, Isaac Newton Institute
Cambridge, England
June, 2019Integrable Systems, Special Functions and Combinatorics
Conference, Sabhal Mòr Ostaig
Isle of Skye, Scotland
June, 2019Elliptic Integrable Systems, Special Functions and Quantum Field Theory
Conference, Nordita
Stockholm, Sweden
June, 2019Mathematical Physics Colloquium
Colloquium, University of Talca
Talca, Chile
May, 2019Conference on Nonlinear Mathematical Physics (JNMP 2019)
Conference
Santiago, Chile
April, 2019Mathematical Physics Seminar
Seminar, ICMS
Edinburgh, Scotland
March, 2019Leeds Festival of Science
Public lecture, University of Leeds
Leeds, England
November, 2018Integrable Systems Seminar
Seminar (talk), School of Mathematics, University of Leeds
Leeds, England
October, 2018Integrable Systems and Mathematical Physics Seminar
Seminar (talk), School of Mathematics & Statistics, University of Glasgow
Glasgow, Scotland
September, 2018Heidelberg Laureate Forum (6th HLF)
Scientific Forum, Heidelberg University
Heidelberg, Germany
August, 2018Summer Academy of Subotica
Invited Talk, Association of Hungarian Teachers in North Bačka
Subotica, Serbia
July, 2018Summer Camp for Talented Highschoolers
Invited Talk, Association of Hungarian Talent Support Organizations (MATEHETSZ)
Izmény, Hungary
June, 2018Quantum Integrability and Quantum Schubert Calculus
Theo Murphy meeting (poster), Kavli Royal Society International Centre
Chicheley Hall, UK
June, 2018Representation Theory, Mathematical Physics and Integrable Systems
Conference, CIRM
Marseille, France
May, 2018Lie theory and applications to mathematical physics
Conference and Summer school, West University of Timisoara
Timisoara, Romania
May, 2018"Beszélő" public lecture series
Public lecture, Sándor Sík College
Szeged, Hungary
April, 2018Geometric aspects of momentum maps and integrability
Conference, Congressi Stefano Franscini (CSF), ETH Zürich
Ascona, Switzerland
April, 2018Polygon maths prize - award ceremony
Public lecture, Bolyai Institute
Szeged, Hungary
March, 2018"Szabadegyetem - Szeged" public lecture series
Public lecture, University of Szeged
Szeged, Hungary
December, 2017Theoretical Physics Seminar
Seminar (talk), Theoretical Physics Group, Wigner RCP
Budapest, Hungary
October, 2017Szeged Geometry Day 2017
Conference, Bolyai Institute
Szeged, Hungary
July, 2017Finite Dimensional Integrable Systems in Geometry and Mathematical Physics (FDIS 2017)
Conference (talk), Centre de Recerca Matematica (CRM)
Barcelona, Spain
June, 201721st UK Meeting on Integrable Models, Conformal Field Theory and Related Topics (ICFT 2017)
Conference, University of Leeds
Leeds, England
May, 2017Analysis and Probability Seminar
Seminar (talk), Division of Analysis and Probability Theory, Chalmers University of Technology
Gothenburg, Sweden
May, 2017PhD defense
Defense (talk), Doctoral School of Physics, University of Szeged
Szeged, Hungary
April, 2017Theoretical Physics Seminar
Seminar (talk), Department of Theoretical Physics, University of Szeged
Szeged, Hungary
March, 2017Elliptic Hypergeometric Functions in Combinatorics, Integrable Systems and Physics
Workshop (poster), Erwin Schrödinger Institute, University of Vienna
Vienna, Austria
November, 2016Kerékjártó Geometry Seminar
Seminar (talk), University of Szeged
Szeged, Hungary
October, 2016Integrable Systems Seminar
Seminar (talk), University of Leeds
Leeds, England
October, 2016Mathematical Physics Seminar
Seminar (talk), University of York
York, England
October, 2016Geometry and Mathematical Physics Seminar
Seminar (talk), Loughborough University
Loughborough, England
August, 2016Recent Advances in Quantum Integrable Systems (RAQIS'16)
Conference (poster), University of Geneva
Geneva, Switzerland
July, 2016Geometric and Algebraic Aspects of Integrability
Summer School & Conference (poster), London Mathematical Society
Durham, England
July, 2016Poisson Geometry in Mathematics and Physics (Poisson 2016)
Conference (poster), ETH Zurich
Zurich, Switzerland
June, 2016Poisson Geometry in Mathematics and Physics (Poisson 2016)
Summer School, University of Geneva
Geneva, Switzerland
June, 2016Integrable Systems
Conference (poster), Congressi Stefano Franscini (CSF), ETH Zürich
Ascona, Switzerland
April, 2016Vector Bundles Learning Seminar
Seminar (talk), Eotvos Lorand University
Budapest, Hungary
March, 2016Physics Workshop
Seminar (talk), Eotvos Lorand Kollegium, University of Szeged
Szeged, Hungary
March, 2016Mathematics PhD Seminar
Seminar (talk), Bolyai Institute, University of Szeged
Szeged, Hungary
November, 2015Mathematics Workshop
Seminar (talk), Eotvos Lorand Kollegium, University of Szeged
Szeged, Hungary
October, 2015Mathematics PhD Seminar
Seminar (talk), Bolyai Institute, University of Szeged
Szeged, Hungary
September, 2015Analysis Seminar
Seminar (talk), Institute of Mathematics, BME
Budapest, Hungary
July, 2015Finite Dimensional Integrable Systems in Geometry and Mathematical Physics (FDIS 2015)
Conference (poster), Stefan Banach International Mathematical Center
Bedlewo, Poland
June, 2015Integrable systems and Quantum Symmetries (ISQS-23)
Conference (contributed talk), Czech Technical University in Prague
Prague, Czech Republic
April, 2015Physics PhD Seminar
Seminar (talk), Institute of Physics, University of Szeged
Szeged, Hungary
April, 2015Representation Theory Seminar
Seminar (talk), KdV Institute for Mathematics, University of Amsterdam
Amsterdam, The Netherlands
January, 2015Vertex algebras, W-algebras, and applications (Part II)
Winter School, INdAM Intensive Period - "Perspectives in Lie Theory"
Scuola Normale Superiore, Pisa, Italy
December, 2014Vertex algebras, W-algebras, and applications (Part I)
Winter School, INdAM Intensive Period - "Perspectives in Lie Theory"
Scuola Normale Superiore, Pisa, Italy
October, 2014Mathematics PhD Seminar
Seminar (talk), Bolyai Institute, University of Szeged
Szeged, Hungary
September, 2014The 3rd summer school on geometry of differential equations (GDEQ-3)
Summer School, Silesian University in Opava
Opava, Czech Republic
June, 2014Integrable systems and Quantum Symmetries (ISQS-22)
Conference (contributed talk), Czech Technical University in Prague
Prague, Czech Republic
June, 2014Conference for PhD students in physics (DOFFI-3)
Conference (contributed talk), Roland Eotvos Physical Society
Balatonfenyves, Hungary
December, 2013Theoretical Physics Seminar
Seminar (talk), Department of Theoretical Physics, University of Szeged
Szeged, Hungary
September, 2013Advanced Course on Geometry and Dynamics of Integrable Systems
Summer School, Centre de Recerca Matematica (CRM)
Barcelona, Spain
April, 2013XXXI. National Scientific Students' Associations Conference (OTDK)
Conference (talk), Budapest University of Technology and Economics
Budapest, Hungary
August, 2012Quantum gravity
Summer School, University of Szeged
Szeged, Hungary
April, 2012Scientific Students' Associations Conference (TDK)
Conference (talk), University of Szeged
Szeged, Hungary

String art

A Kivételesen szép szimmetriák c. alkotások magyar nyelvű weboldala ide kattintva érthető el.

You can read more about these Exceptionally Beautiful Symmetries by clicking here.

Public lectures

Academic Genealogy

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