Research visits of at least 1 month duration

• Laboratoire de Physique Th´eorique, ENS Lyon, 1 month, 2000
• Institute for Theoretical Physics, University of Amsterdam, 1 month, 2002
• Department of Mathematics, EPFL, Lausanne, 1 month, 2003
• IPNS, KEK, Tsukuba, 3 months in 2004, 1 month in 2007 and 1 month in 2012
• Institute de Math´ematiques de Luminy, Marseille, 1 month, 2008
• Yukawa Institute for Theoretical Physics, Kyoto, 1 month, 2009
• Department of Mathematics, EPFL, Lausanne, 1 month, 2012

General research background and teaching experience

My area of interest is mathematical physics in general, especially the theory of integrable Hamiltonian systems. I often apply Lie group theoretic methods in my investigations. After studies of Kepler-like systems and Berry’s phase, my research focused on models of conformal field theory and their symmetry algebras, then on soliton equations, dynamical Yang-Baxter structures and action–angle dualities of Calogero–Moser type many-body models. With collab- orators, up to now I published around 90 research papers in refereed journals and around 20 papers in refereed conference proceedings. I presented talks on my results at about 75 inter- national conferences. My papers received nearly 2000 independent citations. A list of selected publications can be found here.

I have considerable experience in teaching theoretical physics and mathematical methods for physicists. For example, I have been lecturing on linear algebra, theoretical and analyti- cal mechanics, group theoretic methods and particle physics for BSc and MSc students, and delivered PhD courses on Lie algebras, differential geometric methods and integrable systems; typically giving 2 courses each semester. Four of my PhD students (A. G´abor, B.G. Pusztai, V. Ayadi and T.F. G¨orbe) obtained degrees in mathematical physics, at the University of Szeged in 2003, 2004, 2013 and 2017, respectively.

Recent research

During the past few years I focused on integrable systems of point particles moving in one dimension. Due to their rich mathematics and diverse applications, such models have been under intense scrutiny for several decades, but still offer many surprises. For example, in the paper [81] (the numbers refer to the this list of my publications) we provided a detailed analysis of a dual pair of relativistic integrable systems associated with the BCn root system, and in [85] we clarified the group theoretic interpretation of spin Ruijsenaars–Schneider models that have close links to soliton theory. In [82], I discovered a new family of deformations of the trigonometric spin Sutherland models, in association with all compact simple Lie groups. In a recent series of papers [83,84,87,88,89], I uncovered bi-Hamiltonian structures for integrable many-body models coupled to spin degrees of freedom. Presently, I continue my studies in these directions.