| Publication | Date of Publication | Type |
|---|
| Torus links $T_{2s,2t}$ and $(s,t)$-log VOA | 2023-06-05 | Paper |
| Non-semisimple invariants and Habiro's series | 2021-12-03 | Paper |
| DAHA and skein algebra of surfaces: double-torus knots | 2019-10-17 | Paper |
| Note on character varieties and cluster algebras | 2019-05-08 | Paper |
| Hecke-type formulas for families of unified Witten-Reshetikhin-Turaev invariants | 2018-05-15 | Paper |
| Torus knots and quantum modular forms | 2016-05-31 | Paper |
| Braids, complex volume and cluster algebras | 2015-09-29 | Paper |
| Braiding operator via quantum cluster algebra | 2014-12-17 | Paper |
| CLUSTER ALGEBRA AND COMPLEX VOLUME OF ONCE-PUNCTURED TORUS BUNDLES AND 2-BRIDGE LINKS | 2014-04-17 | Paper |
| Enriques moonshine | 2013-09-25 | Paper |
| \( \mathcal{N} = 4 \) superconformal algebra and the entropy of hyperkähler manifolds | 2013-08-27 | Paper |
| Twisted elliptic genus for \(K3\) and Borcherds product | 2013-01-04 | Paper |
| N=2 Moonshine | 2012-09-04 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3108671 | 2012-01-05 | Paper |
| Representations and the colored Jones polynomial of a torus knot | 2012-01-05 | Paper |
| One-dimensional vertex models associated with a class of Yangian invariant Haldane-Shastry like spin chains | 2011-06-17 | Paper |
| On the modularity of the unified WRT invariants of certain Seifert manifolds | 2011-05-17 | Paper |
| \({\mathcal N}=2\) superconformal algebra and the entropy of Calabi-Yau manifolds | 2010-09-16 | Paper |
| Superconformal algebras and mock theta functions. II: Rademacher expansion for \(K3\) surface | 2010-02-08 | Paper |
| Superconformal algebras and mock theta functions | 2009-12-01 | Paper |
| COLORED JONES POLYNOMIALS WITH POLYNOMIAL GROWTH | 2009-03-02 | Paper |
| Duality of linking pairing in Arnold's singularities | 2009-01-13 | Paper |
| Skein theory and topological quantum registers: Braiding matrices and topological entanglement entropy of non-Abelian quantum Hall states | 2008-07-31 | Paper |
| Mock (false) theta functions as quantum invariants | 2008-05-05 | Paper |
| Hecke Type Formula for Unified Witten–Reshetikhin–Turaev Invariants as Higher-Order Mock Theta Functions | 2007-11-28 | Paper |
| Boson-fermion duality in \(\text{SU}(m|n)\) supersymmetric Haldane-Shastry spin chain | 2007-09-17 | Paper |
| On the quantum invariants for the spherical Seifert manifolds | 2007-09-11 | Paper |
| Generalized volume conjecture and the \(A\)-polynomials: The Neumann-Zagier potential function as a classical limit of the partition function | 2007-08-10 | Paper |
| Asymptotics of the colored Jones polynomial and the A-polynomial | 2007-06-21 | Paper |
| Quantum invariants, modular forms, and lattice points II | 2007-05-16 | Paper |
| \(q\)-series and \(L\)-functions related to half-derivatives of the Andrews-Gordon identity | 2006-11-03 | Paper |
| Transformation formula of the ``second order mock theta function | 2006-10-27 | Paper |
| Hypergeometric generating function of $L$-function, Slater’s identities, and quantum invariant | 2006-08-09 | Paper |
| The \(\text{SU}(\nu)\) Calogero spin system. | 2006-02-16 | Paper |
| Volume Conjecture and Asymptotic Expansion ofq-Series | 2005-09-16 | Paper |
| ON THE QUANTUM INVARIANT FOR THE BRIESKORN HOMOLOGY SPHERES | 2005-09-12 | Paper |
| HYPERBOLIC STRUCTURE ARISING FROM A KNOT INVARIANT II: COMPLETENESS | 2005-08-30 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4673256 | 2005-04-29 | Paper |
| DIFFERENCE EQUATION OF THE COLORED JONES POLYNOMIAL FOR TORUS KNOT | 2005-02-28 | Paper |
| Topics in quantum integrable systems | 2004-12-14 | Paper |
| Quantum invariant for torus link and modular forms | 2004-12-13 | Paper |
| Vicious walkers and hook Young tableaux | 2004-01-19 | Paper |
| Torus knot and minimal model | 2003-11-02 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4793222 | 2003-10-27 | Paper |
| Integrable spin-boson interaction in the Tavis-Cummings model from a generic boundary twist | 2003-09-29 | Paper |
| Quasi-classical descendants of disordered vertex models with boundaries | 2002-10-23 | Paper |
| Symmetry of integrable cellular automaton | 2002-09-16 | Paper |
| https://portal.mardi4nfdi.de/entity/Q2751972 | 2002-05-11 | Paper |
| HYPERBOLIC STRUCTURE ARISING FROM A KNOT INVARIANT | 2002-04-19 | Paper |
| Notes on the structure of the -function interacting gas. Intertwining operator in the degenerate affine Hecke algebra | 2002-01-22 | Paper |
| Hyperbolicity of partition function and quantum gravity | 2001-11-04 | Paper |
| https://portal.mardi4nfdi.de/entity/Q2751087 | 2001-10-21 | Paper |
| https://portal.mardi4nfdi.de/entity/Q2742652 | 2001-09-23 | Paper |
| Integrable structure of the classical lattice \(W_n\) algebra | 2001-08-21 | Paper |
| Construction of the Quantum Integrable Equations on Space-Time Lattice Based on the LatticeWAlgebra | 2001-08-13 | Paper |
| Discrete Time Bogoyavlensky Lattice and Lattice W Currents | 2001-08-06 | Paper |
| Integrability, Fusion, and Duality in the Elliptic Ruijsenaars Model | 2001-08-01 | Paper |
| NOTES ON OPERATOR-VALUED SOLUTIONS OF THE YANG-BAXTER EQUATION AND THE REFLECTION EQUATION | 2001-07-31 | Paper |
| The Baxter equation for quantum discrete Boussinesq equation | 2001-07-08 | Paper |
| The lattice Toda field theory for simple Lie algebras: Hamiltonian structure and \(\tau\)-function | 2001-05-14 | Paper |
| Supersymmetric extension of the integrable box-ball system | 2000-10-08 | Paper |
| Representation of the Yangian invariant motif and the Macdonald polynomial | 2000-08-22 | Paper |
| Crystallization of the Bogoyavlensky Lattice | 2000-07-26 | Paper |
| Quantum Integrable Model on (2+1)-D Lattice | 2000-07-26 | Paper |
| Generalized Lattice KdV Type Equation – Reduction of the LatticeW3Algebra | 2000-07-26 | Paper |
| The Hamiltonian Structure of the Bogoyavlensky Lattice | 2000-07-26 | Paper |
| The \({\rbb Z}_{\mibs N}\) Symmetric Quantum Lattice Field Theory The Quantum Group Symmetry, the Yang–Baxter Equation, and the Integrals of Motion | 2000-07-26 | Paper |
| LatticeWCurrents with Discrete Time | 2000-07-26 | Paper |
| The Quantum Volterra Model and the Lattice Sine–Gordon System. – Construction of the BaxterQOperator and the Integrals of Motion | 2000-07-26 | Paper |
| Diagonalization of the Elliptic Ruijsenaars Model of Type-BC | 2000-07-26 | Paper |
| The Hungry-Volterra Model – The Classical and Quantum Integrable Structures | 2000-07-26 | Paper |
| Boundary Boltzmann Weight for the Eight-Vertex SOS Model: Vertex-IRF Correspondence | 2000-07-26 | Paper |
| New Approach to the LatticeWNAlgebra and the Exchange Algebra | 2000-07-26 | Paper |
| Separation of Variable for Quantum Open Toda Lattice | 2000-07-26 | Paper |
| Dunkl Operator Formalism for Quantum Many-Body Problems Associated with Classical Root Systems | 2000-07-26 | Paper |
| Notes on the Dunkl Operator | 2000-07-26 | Paper |
| Representation of Motifs New Aspect of the Rogers-Szegö Polynomial | 2000-07-26 | Paper |
| Integral Solution of Trigonometric Knizhnik-Zamolodchikov Equation; Off-Shell Bethe Ansatz Method | 2000-07-26 | Paper |
| Classical Calogero Model and Matrix Model | 2000-07-26 | Paper |
| Infinite Symmetry of the Spin Systems with Inverse Square Interactions | 2000-07-26 | Paper |
| Conserved Operators in Calogero-Moser Spin System | 2000-07-26 | Paper |
| The Quantum Calogero-Moser Model: Algebraic Structures | 2000-07-26 | Paper |
| Integrability of Calogero-Moser Spin System | 2000-07-26 | Paper |
| Integrable Systems with Long-Range Interactions,<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi>W</mml:mi></mml:mrow><mml:mrow><mml:mi>∞</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math>Algebra, and Energy Spectrum | 2000-07-16 | Paper |
| Supersymmetric Polychronakos spin chain: motif, distribution function, and character | 2000-07-12 | Paper |
| Yangian symmetry and Virasoro character in a lattice spin system with long-range interactions | 2000-07-10 | Paper |
| Affine \(R\)-matrix and the generalized elliptic Ruijsenaars models | 2000-06-05 | Paper |
| Construction of soliton cellular automaton from the vertex model - the discrete 2D Toda equation and the Bogoyavlensky lattice | 2000-04-25 | Paper |
| Classical \(r\)-matrix structure for the generalized Gaudin magnet | 2000-03-07 | Paper |
| Integrability of a Hubbard-like model: lattice analogue of the \(\delta\)-function interacting gas | 2000-03-07 | Paper |
| The Euler-Calogero-Moser model in an external potential---Yangian and loop algebra | 2000-02-08 | Paper |
| Simple construction of the elliptic boundary \(K\)-matrix | 2000-02-08 | Paper |
| Character and TBA for an ideal \(g\)-on gas | 2000-02-08 | Paper |
| On additional symmetry: The many-body problem related to the KP hierarchy | 2000-02-06 | Paper |
| Conserved operators of the generalized elliptic Ruijsenaars models | 1999-11-21 | Paper |
| Quantum integrability of the generalized elliptic Ruijsenaars models | 1999-10-31 | Paper |
| Integrable three-body problems with two- and three-body interactions | 1999-06-10 | Paper |
| Nonlinear Schrödinger Model with Boundary, Integrability and Scattering Matrix Based on the Degenerate Affine Hecke Algebra | 1998-10-20 | Paper |
| Affine Hecke algebra, Macdonald polynomials, and quantum many-body systems | 1998-10-11 | Paper |
| BoundaryK-matrix, elliptic Dunkl operator and quantum many-body systems | 1998-08-20 | Paper |
| On the fundamental \(L\) operator for the quantum lattice \(W\) algebra. | 1998-01-01 | Paper |
| Lattice \(W_N\) algebra and its quantization | 1997-10-29 | Paper |
| Elliptic K-matrix associated with Belavin's symmetric R-matrix | 1997-06-01 | Paper |
| Gaudin magnet with boundary and generalized Knizhnik-Zamolodchikov equation | 1997-04-10 | Paper |
| Symmetry of the Calogero model confined in the harmonic potential-Yangian and W algebra | 1997-02-11 | Paper |
| Classical latticeWalgebras and integrable systems | 1997-01-01 | Paper |
| Separation of variables in the BC-type Gaudin magnet | 1996-11-26 | Paper |
| Integral representation for the eigenstates of the spin system with inverse square interactions | 1996-03-17 | Paper |
| Integrability and algebraic structure of the quantum Calogero-Moser model | 1994-05-08 | Paper |
| Quantum integrable systems | 1994-02-07 | Paper |
| Integrable spin systems with long-range interactions | 1993-01-18 | Paper |