Dr. Azat Gaynutdinov

Profile

Academic positionLecturer, Assistant Professor, Researcher
Research fieldsAlgebra, Theory of Numbers, Algebraic Geometry,Theoretical Physics
KeywordsHopf algebras, Tensor categories, Mathematical physics, Representation Theory, Vertex-operator algebras

Current contact address

CountryFrance
CityTours
InstitutionUniversite de Tours (Francois Rabelais)
InstituteFaculte des Sciences et Techniques

Host during sponsorship

Prof. Dr. Christoph SchweigertDepartment Mathematik, Universität Hamburg, Hamburg
Prof. Dr. Christoph SchweigertFachbereich Mathematik, Universität Hamburg, Hamburg
Start of initial sponsorship01/10/2013

Programme(s)

2013Humboldt Research Fellowship Programme for Postdocs

Publications (partial selection)

2019Vanda Farsad, Azat M. Gainutdinov, Ingo Runkel: SL(2,Z)-action for ribbon quasi-Hopf algebras. In: Journal of Algebra, 2019, 243-308
2019A.M. Gainutdinov, I. Runkel: The non-semisimple Verlinde formula and pseudo-trace functions. In: J. of Pure and Applied Algebra, 2019, 660-690
2018Azat M. Gainutdinov, Jesper L. Jacobsen, Hubert Saleur: A fusion for the periodic Temperley-Lieb algebra and its continuum limit. In: Journal of High Energy Physics, 2018, 1-40
2017P. Baseilhac, A.M. Gainutdinov, T.T. Vu: Cyclic tridiagonal pairs, higher order Onsager algebras and orthogonal polynomials. In: Linear Algebra and its Applications, 2017, 71-110
2017Jonathan Belletete, Azat M. Gainutdinov, Jesper L. Jacobsen, Hubert Saleur, Romain Vasseur: On the correspondence between boundary and bulk lattice models and (logarithmic) conformal field theories. In: J. Phys A: Math. Theor., 2017, 484002
2017A.M. Gainutdinov, I. Runkel: Symplectic fermions and a quasi-Hopf algebra structure on the small quantum group U_i sl(2). In: J. of Algebra, 2017, 415-458
2016A.M. Gainutdinov, R.I. Nepomechie: Algebraic Bethe ansatz for the quantum group invariant open XXZ chain at roots of unity. In: Nucl. Phys. B, 2016, 796-839
2016Azat M. Gainutdinov, Nick Read, Hubert Saleur: Associative algebraic approach to logarithmic CFT in the bulk: the continuum limit of the gl(1|1) periodic spin chain, Howe duality and the interchiral algebra. In: Commun. Math. Phys., 2016, 35-103
2015A.M. Gainutdinov, N. Read, and H. Saleur, R. Vasseur: The periodic sl(2|1) alternating spin chain and its continuum limit as a bulk Logarithmic Conformal Field Theory at c=0. In: J. of High Energy Physics, 2015, 114
2013A.M. Gainutdinov, J.L. Jacobsen, H. Saleur, R. Vasseur: A physical approach to the classification of indecomposable Virasoro representations from the Blob algebra. In: Nucl. Phys. B, 2013, 614-681