Publications

36. "On orthogonal projections related to representations of the Hecke algebra on a tensor space",
Journal of Mathematical Physics 63 (2022) 081701

35. "Two relations for the antisymmetrizer in the Hecke algebra", [arXiv:2203.08664 ]
Zapiski Nauchnykh Seminarov POMI 509 (2021) 89-98 (in Russian)

34. "A relation for the Jones-Wenzl projector and tensor space
representations of the Temperley-Lieb algebra", [arXiv:1805.00466]
Linear and Multilinear Algebra 68 (2020) 2239-2253

33. "Totally positive matrices and dilogarithm identities"
(with A. Volkov), [arXiv:1708.08445]
Linear Algebra and Its Applications 547 (2018) 148-167

32. "Tensor space representations of Temperley-Lieb algebra
and generalized permutation matrices", [arXiv:1505.02703]
Journal of Mathematical Physics 56 (2015) 083503

31. "Tensor space representations of Temperley-Lieb algebra
via orthogonal projections of rank $r \geq 1$", [arXiv:1503.06461]
Journal of Mathematical Physics 56 (2015) 083502

30. "Tetrahedron equation, Weyl group, and quantum dilogarithm"
(with A. Volkov), [arXiv:1407.5658], Letters in Mathematical Physics 105 (2015) 45-61

29. "Tetrahedron equation and cyclic quantum dilogarithm identities"
(with A. Volkov), [arXiv:1304.1641],
International Mathematics Research Notices, 2015 (2015) 1075-1100

28. "On quantum L-operator for two-dimensional lattice Toda model"
(with I. Davydenkova), [arXiv:1111.4865],
Zapiski Nauchnykh Seminarov POMI 398 (2012) 87-99 (in Russian)
J. Math. Sciences 192 (2013) 50-59 (Engl. transl.)

27. "On SLE martingales in boundary WZW models"
(with A.Alekseev and K.Izyurov),
[arXiv:1012.3113], Letters in Mathematical Physics 97 (2011) 243-261

26. "On constant U_q(sl_2)-invariant R-matrices",
[arXiv:1003.2128], Zapiski Nauchnykh Seminarov POMI 374 (2010) 82-91 (in Russian)
J. Math. Sciences 168 (2010) 805-810 (Engl. transl.) [pdf]

25. "Non-Hermitian spin chains with inhomogeneous coupling",
[arXiv:0911.4476], Algebra i Analiz 22 (2010), No.3, 80-106.
St. Petersburg Math. J. 22 (2011) 393-410 (Engl. transl.)

24. "The integrable structure of nonrational conformal field theory"
(with J.Teschner), [arXiv:0902.4825],
Advances in Theoretical and Mathematical Physics 17 (2013), no.4, 701-740

23. "Baxterization of GL_q(2) and its application to the Liouville model
and some other models on a lattice"
[arxiv:0712.3301], J. Phys. A41 (2008) 194003 (29pp) [pdf]

22. "On string solutions of Bethe equations in the N=4 supersymmetric Yang-Mills theory"
(with I.Shenderovich), [arxiv:0712.0950],
Zapiski Nauchnykh Seminarov POMI 347 (2007) 75-87 (in Russian)
J. Math. Sciences 151 (2008) 2840-2847 (Engl. transl.) [pdf]

21. "On one ansatz for sl_2-invariant R-matrices",
[math.QA/0609519], Zapiski Nauchnykh Seminarov POMI 335 (2006) 100-118 (in Russian)
J. Math. Sciences 143 (2007) 2754-2764 (Engl. transl.) [pdf]

20."Quantization of models with non-compact quantum group symmetry:
modular XXZ magnet and lattice sinh-Gordon model"
(with J.Teschner), [hep-th/0602093], J. Phys. A39 (2006) 12927-12981 [pdf]

19. "On higher spin Uq(sl_2)-invariant R-matrices"
[math.QA/0412482], Algebra i Analiz 17 (2005) No.3, 23-46 (in Russian) [pdf]
St. Petersburg Math. J. 17 (2006) 393-408 (Engl. transl.)

18."Thermodynamics and conformal properties of XXZ chains with alternating spins"
(with A.Doikou) [hep-th/0312012] J. Phys. A37 (2004) 4465-4492 [pdf]

17."Haldane-Wu statistics and Rogers dilogarithm"
[math-ph/0211026], Zapiski Nauchnykh Seminarov POMI 291 (2002) 64-77 (in Russian)
J. Math. Sciences 125 (2005) 136-143 (Engl. transl.) [pdf]

16."R-operator, co-product and Haar-measure for the modular double of U_q(sl(2,R))"
(with J.Teschner) [math.QA/0208191], Commun. Math. Phys. 240 (2003) 171-196 [pdf]

15."On integrable Hamiltonians for higher spin XXZ chain"
[hep-th/0112163], J. Math. Phys. 44 (2003) 3698-3717

14. "Singularities of the Seiberg-Witten map"
[hep-th/0012018], JHEP 01 (2001) 020 [pdf]

13. "Thermodynamic Bethe ansatz for generalized extensive statistics"
[hep-th/0011004], Nucl.Phys. B604 (2001) 455-478

12. "Wilson lines on noncommutative tori"
(with A.Yu.Alekseev) [hep-th/0002101], Phys. Lett. B482 (2000) 271-275

11. "Two-term dilogarithm identities related to conformal field theory"
[math-ph/9911012], Lett. Math. Phys. 50 (1999) 213-228 [pdf]

10. "Fermionic representations for characters of some minimal conformal models
and related Rogers-Ramanujan type formulae and dilogarithm identities"
[hep-th/9904059], J. Phys. A32 (1999) 8045-8058 [pdf]

9. "A note on ADE-spectra in conformal field theory"
(with A.Fring) [hep-th/9812115], Phys. Lett. B454 (1999) 59-69

8. "Factorized combinations of Virasoro characters"
(with A.Fring) [hep-th/9809001], Commun. Math. Phys. 209 (2000) 179-205 [pdf]

7. "Thermodynamic Bethe ansatz with Haldane statistics"
(with A.Fring) [hep-th/9803005], Nucl. Phys. B532 (1998) 588-608

6. "Anyonic interpretation of Virasoro characters and the thermodynamic Bethe ansatz"
(with A.Fring) [hep-th/9711113], Nucl. Phys. B521 (1998) 573-591

5. "Vertex operators - from toy model to lattice algebras"
(with V.Schomerus) [q-alg/9611010], Commun. Math. Phys. 191 (1998) 87-136 [pdf]

4. "Fusion of q-tensor operators: quasi-Hopf algebraic point of view"
[q-alg/9609007], Zapiski Nauchnykh Seminarov POMI 245 (1997) 107-129
J. Math. Sciences 100 (2000) 2077-2091 (Engl. transl.) [pdf]

3. "Tensor operators in R-matrix approach"
[q-alg/9512030 ], DESY preprint 95-254 (1995) 20 pp.

2. "(T*B)_q, q-analogue of model space and the Clebsch-Gordan coefficients generating matrices"
(with L.D.Faddeev) [q-alg/9508022], J. Math. Phys. 37 (1996) 6324-6348 [pdf]

1. "The zero-curvature representation for nonlinear O(3) sigma model"
[hep-th/9403101], Zapiski Nauchnykh Seminarov POMI 215 (1994) 100-114 (in Russian)
J. Math. Sciences 85 (1997) 1619-1628 (Engl. transl.) [pdf]


Proceedings

3. "Hamiltonians for higher spin XXZ chains" (abstract)
In: Proc. Int. Conf. Theor. Phys. (Paris, 2002) (Eds.: D.Iagolnitzer, P.Ribeca, J.Zinn-Justin), p.211

2. "Thermodynamic Bethe ansatz and exotic statistics"
In: Low dimensional integrable models and their applications in field theory and statistical physics
(Annecy-Le-Vieux, 2001) (Eds.: A.G.Bytsko, M.Karowski), SFB-288 preprint 515 (2001) 25-30

1. "On factorized Virasoro characters" (abstract)
In: Proc. Int. Congr. Math. (Berlin, 1998). Abstracts of short communications, p.230