Tamás F. Görbe
The main interests of my research are Integrable Systems and their algebraic, geometric, and fieldtheoretic aspects. For more, see my publications and my CV.
Research
Research Papers
 (with M.A. Hallnäs) Quantisation of compact forms of the trigonometric RuijsenaarsSchneider system, preprint (2017); arXiv:1707.08483 [mathph]
 (with L. Fehér) Trigonometric and elliptic RuijsenaarsSchneider systems on the complex projective space, Lett. Math. Phys. 106 (2016) 14291449; doi:10.1007/s110050160877z; arXiv:1605.09736 [mathph]
 (with B.G. Pusztai) Lax representation of the hyperbolic van Diejen dynamics with two coupling parameters, Commun. Math. Phys. 354 (2017) 829864; doi:10.1007/s0022001729355; arXiv:1603.06710 [mathph]
 (with L. Fehér) The full phase space of a model in the CalogeroRuijsenaars family, J. Geom. Phys. 115 (2017) 139149; doi:10.1016/j.geomphys.2016.04.018; arXiv:1603.02877 [mathph]
 A simple proof of Sklyanin's formula for canonical spectral coordinates of the rational CalogeroMoser system, SIGMA 12 (2016) 027; doi:10.3842/SIGMA.2016.027; arXiv:1601.01181 [mathph]
 (with L. Fehér) On a PoissonLie deformation of the BC$_n$ Sutherland system, Nucl. Phys. B 901 (2015) 85114; doi:10.1016/j.nuclphysb.2015.10.008; arXiv:1508.04991 [mathph]
 (with L. Fehér) Equivalence of two sets of Hamiltonians associated with the rational BC$_n$ RuijsenaarsSchneidervan Diejen system, Phys. Lett. A 379 (2015) 26852689; doi:10.1016/j.physleta.2015.08.014; arXiv:1503.01303 [mathph]
 On the derivation of Darboux form for the actionangle dual of trigonometric BC$_n$ Sutherland system, J. Phys.: Conf. Ser. 563 (2014) 012012; doi:10.1088/17426596/563/1/012012; arXiv:1410.0301 [mathph]
 (with L. Fehér) Duality between the trigonometric BC$_n$ Sutherland system and a completed rational RuijsenaarsSchneidervan Diejen system, J. Math. Phys. 55 (2014) 102704; doi:10.1063/1.4898077; arXiv:1407.2057 [mathph]
 (with V. Ayadi and L. Fehér) Superintegrability of rational RuijsenaarsSchneider systems and their actionangle duals, J. Geom. Symmetry Phys. 27 (2012) 2744; doi:10.7546/jgsp2720122744; arXiv:1209.1314 [nlin.SI]
Posters
 Elliptic RuijsenaarsSchneider models on the complex projective space, Elliptic Hypergeometric Functions in Combinatorics, Integrable Systems and Physics 2017; [PDF, 519 kB]
 Lax representation of the hyperbolic van Diejen system with two coupling parameters, Integrable Systems Conference at the CSF Ascona 2016; [PDF, 4.4 MB]
 The trigonometric BC$_n$ Sutherland system: actionangle duality and applications, Finite Dimensional Integrable Systems in Geometry and Mathematical Physics 2015; [PDF, 82 kB]
PhD Thesis
Integrable manybody systems of CalogeroRuijsenaars type, 2017; doi:10.14232/phd.3595
arXiv:1705.01333 [mathph];
url: http://doktori.bibl.uszeged.hu/3595/
Bachelor & Master Theses
Lie groups and related algebraic structures, 2010.
Grouptheoretic treatment of integrable systems, 2013.
Scientific Students' Associations Essay
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)
 (with I. Gyémánt) Lineáris algebra fizikusoknak, Polygon Jegyzettár, 2011.
 Lineáris algebra fizikusoknak  Internetes melléklet, 2011.
 Lineáris algebra feladatgyűjtemény, 2011.
Courses
Events
(Conferences, Summer/Winter Schools, Seminars, Workshops)
Upcoming events
March, 2018  "Szabadegyetem  Szeged" public lecture series Public lecture, University of Szeged Szeged, Hungary 
April, 2018  Geometric aspects of momentum maps and integrability Conference, Congressi Stefano Franscini (CSF), ETH Zurich Ascona, Switzerland 
May, 2018  Lie theory and applications to mathematical physics Conference and Summer school, West University of Timisoara Timisoara, Romania 
June, 2018  Representation Theory, Mathematical Physics and Integrable Systems Conference, CIRM Marseille, France 
July, 2018  International Conference on Poisson Geometry (Poisson 2018) Conference, The Fields Institute Toronto, Canada 
July, 2018  Workshop on the Variations on the Theme of Integrability Workshop, The Fields Institute Toronto, Canada 
July, 2018  XIX International Congress on Mathematical Physics (ICMP 2018) Conference, Centre MontRoyal Montreal, Canada 
September, 2018  Recent Advances in Quantum Integrable Systems (RAQIS 2018) Conference, LAPTh Annecy, France 
September, 2018  INdAM workshop on Poisson Geometry and Higher Structures Workshop, La Sapienza Rome, Italy 
November, 2018  International Conference on Symmetries and Integrability of Difference Equations (SIDE 13) Conference Fukuoka, Japan 
May, 2019  Conference on Nonlinear Mathematical Physics (JNMP 2019) Conference Santiago, Chile 
Past events

String art
You can watch my talk Enchanting Symmetries, the Gems of Mathematics (with subtitles) about the mathematics of these string arts. It aired on a national channel (M5TV) as part of a series called Everyone's Academy (Mindenki Akadémiája).
A fonalgrafikák matematikájáról és kutatási témámról szól az Elbűvölő szimmetriák, a matematika drágakövei című ismeretterjesztő előadásom, amely a Mindenki Akadémiája sorozatban jelent meg.
A Kivételesen szép szimmetriák c. alkotások magyar nyelvű weboldala ide kattintva érthető el.
You can read about the mathematics of these string arts on my blog here and here.
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.