| Publication | Date of Publication | Type |
|---|
| On the status of DELL systems | 2024-02-21 | Paper |
| 3-Schurs from explicit representation of Yangian \(Y(\hat{\mathfrak{gl}}_1)\). Levels 1--5 | 2024-01-26 | Paper |
| On factorization hierarchy of equations for banana Feynman amplitudes | 2023-11-22 | Paper |
| Commutative families in \(W_\infty\), integrable many-body systems and hypergeometric \(\tau\)-functions | 2023-10-25 | Paper |
| Super-Schur polynomials for affine super Yangian \(\mathsf{Y}(\widehat{\mathfrak{gl}}_{1|1})\) | 2023-10-12 | Paper |
| Commutative subalgebras from Serre relations | 2023-09-29 | Paper |
| On combinatorial generalization(s) of Borel transform: averaging method in combinatorics of symmetric polynomials | 2023-07-21 | Paper |
| \((q, t)\)-deformed (skew) Hurwitz \(\tau\)-functions | 2023-07-21 | Paper |
| Position space equations for banana Feynman diagrams | 2023-06-20 | Paper |
| Many-body integrable systems implied by WLZZ models | 2023-06-13 | Paper |
| Machine learning of the well-known things | 2023-06-02 | Paper |
| Spectral curves and \(\mathcal{W}\)-representations of matrix models | 2023-05-31 | Paper |
| On KP-integrable skew Hurwitz $\tau$-functions and their $\beta$-deformations | 2023-01-27 | Paper |
| Interpolating Matrix Models for WLZZ series | 2023-01-10 | Paper |
| Equating Schur Functions | 2022-12-09 | Paper |
| Integrability and Matrix Models | 2022-12-05 | Paper |
| Hunt for 3-Schur polynomials | 2022-11-27 | Paper |
| Defect and degree of the Alexander polynomial | 2022-08-02 | Paper |
| Superintegrability as the hidden origin of Nekrasov calculus | 2022-07-17 | Paper |
| Bilinear character correlators in superintegrable theory | 2022-06-04 | Paper |
| Differential Expansion for antiparallel triple pretzels: the way the factorization is deformed | 2022-05-24 | Paper |
| Evolution properties of the knot's defect | 2022-04-12 | Paper |
| Polynomial representations of classical Lie algebras and flag varieties | 2022-02-23 | Paper |
| Superintegrability summary | 2022-01-30 | Paper |
| Connection between cut-and-join and Casimir operators | 2021-11-01 | Paper |
| From superintegrability to tridiagonal representation of $\beta$-ensembles | 2021-10-26 | Paper |
| Irreducible representations of simple Lie algebras by differential operators | 2021-06-07 | Paper |
| Connection between cut-and-join and Casimir operators | 2021-05-23 | Paper |
| Matrix model partition function by a single constraint | 2021-05-20 | Paper |
| Khovanov polynomials for satellites and asymptotic adjoint polynomials | 2021-04-29 | Paper |
| Virasoro versus superintegrability. Gaussian Hermitian model | 2021-04-23 | Paper |
| Duality in elliptic Ruijsenaars system and elliptic symmetric functions | 2021-03-03 | Paper |
| Harer-Zagier formulas for knot matrix models | 2021-02-22 | Paper |
| Superintegrability and Kontsevich-Hermitian relation | 2021-02-02 | Paper |
| Superintegrability of Kontsevich matrix model | 2020-11-25 | Paper |
| Morse-Smale surfaced diffeomorphisms with orientable heteroclinic | 2020-09-10 | Paper |
| On a complete solution of the quantum Dell system | 2020-07-15 | Paper |
| Hook variables: cut-and-join operators and \(\tau \)-functions | 2020-06-23 | Paper |
| Can tangle calculus be applicable to hyperpolynomials? | 2020-06-09 | Paper |
| Extensions of the asymptotic symmetry algebra of general relativity | 2020-06-04 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5110525 | 2020-05-20 | Paper |
| Kerov functions revisited | 2020-04-17 | Paper |
| Entanglement content of quantum particle excitations. II: Disconnected regions and logarithmic negativity | 2020-03-02 | Paper |
| Shiraishi functor and non-Kerov deformation of Macdonald polynomials | 2020-02-28 | Paper |
| Kerov functions for composite representations and Macdonald ideal | 2020-02-13 | Paper |
| Entanglement content of quantum particle excitations. II: Disconnected regions and logarithmic negativity | 2020-02-03 | Paper |
| Discrete Painlevé equation, Miwa variables and string equation in 5D matrix models | 2020-01-02 | Paper |
| Cut-and-join operators and Macdonald polynomials from the 3-Schur functions | 2019-12-19 | Paper |
| Multi-colored links from 3-strand braids carrying arbitrary symmetric representations | 2019-11-01 | Paper |
| Tensorial generalization of characters | 2019-09-15 | Paper |
| On exclusive Racah matrices \(\overline{S}\) for rectangular representations | 2019-09-10 | Paper |
| Extension of KNTZ trick to non-rectangular representations | 2019-09-10 | Paper |
| On Hamiltonians for Kerov functions | 2019-08-14 | Paper |
| On \(W\)-representations of \(\beta\)- and \(q,t\)-deformed matrix models | 2019-07-26 | Paper |
| On generalized Macdonald polynomials | 2019-07-11 | Paper |
| Pentad and triangular structures behind the Racah matrices | 2019-06-24 | Paper |
| Cut-and-join structure and integrability for spin Hurwitz numbers | 2019-04-25 | Paper |
| Nimble evolution for pretzel Khovanov polynomials | 2019-04-23 | Paper |
| Knot polynomials for twist satellites | 2018-12-13 | Paper |
| Cauchy formula and the character ring | 2018-12-10 | Paper |
| Correlators in tensor models from character calculus | 2018-12-07 | Paper |
| On elementary proof of AGT relations from six dimensions | 2018-11-06 | Paper |
| An analogue of Schur functions for the plane partitions | 2018-10-29 | Paper |
| \(q\)-Painlevé equation from Virasoro constraints | 2018-10-29 | Paper |
| On moduli space of symmetric orthogonal matrices and exclusive Racah matrix \(\overline{S}\) for representation \(R=[3,1\) with multiplicities] | 2018-10-17 | Paper |
| HOMFLY and superpolynomials for figure eight knot in all symmetric and antisymmetric representations | 2018-10-16 | Paper |
| Sum rules for characters from character-preservation property of matrix models | 2018-09-21 | Paper |
| Are Khovanov-Rozansky polynomials consistent with evolution in the space of knots? | 2018-06-19 | Paper |
| Factorization of differential expansion for antiparallel double-braid knots | 2018-06-12 | Paper |
| Toric Calabi-Yau threefolds as quantum integrable systems. \(\mathcal R\)-matrix and \(\mathcal{RTT}\) relations | 2018-06-12 | Paper |
| Decomposing Nekrasov decomposition | 2018-06-12 | Paper |
| Spectral duality in elliptic systems, six-dimensional gauge theories and topological strings | 2018-06-12 | Paper |
| Explicit examples of DIM constraints for network matrix models | 2018-06-12 | Paper |
| Ding-Iohara-Miki symmetry of network matrix models | 2018-06-04 | Paper |
| A non-torus link from topological vertex | 2018-06-04 | Paper |
| Seiberg-Witten curves and double-elliptic integrable systems | 2018-05-31 | Paper |
| Colored HOMFLY and generalized Mandelbrot set | 2018-05-31 | Paper |
| \((q, t)\)-KZ equations for quantum toroidal algebra and Nekrasov partition functions on ALE spaces | 2018-05-23 | Paper |
| Factorization of differential expansion for non-rectangular representations | 2018-04-27 | Paper |
| On Hopf-induced deformation of topological locus | 2018-04-26 | Paper |
| Modular properties of 6d (DELL) systems | 2018-03-28 | Paper |
| HOMFLY for twist knots and exclusive Racah matrices in representation [333] | 2018-03-28 | Paper |
| Matrix model and dimensions at hypercube vertices | 2018-03-15 | Paper |
| Tri-trophic Plankton Models Revised: Importance of Space, Food Web Structure and Functional Response Parametrisation | 2018-03-14 | Paper |
| Generalized hypergeometric series for Racah matrices in rectangular representations | 2018-03-05 | Paper |
| Rectangular superpolynomials for the figure-eight knot \(4_1\) | 2018-03-01 | Paper |
| Ward identities and combinatorics of rainbow tensor models | 2018-02-05 | Paper |
| On $6j$-symbols for symmetric representations of $U_q(\mathfrak{su}_N)$ | 2017-09-07 | Paper |
| Check-operators and quantum spectral curves | 2017-07-03 | Paper |
| On matrix-model approach to simplified Khovanov-Rozansky calculus | 2017-06-08 | Paper |
| On ambiguity in knot polynomials for virtual knots | 2017-05-10 | Paper |
| (q,t)-KZ equation for Ding-Iohara-Miki algebra | 2017-03-17 | Paper |
| Integrable structure behind the generalized WDVV equations | 2017-02-14 | Paper |
| Eigenvalue conjecture and colored Alexander polynomials | 2016-10-10 | Paper |
| \(\mathrm{SU}(2)/\mathrm{SL}(2)\) knot invariants and Kontsevich-Soibelman monodromies | 2016-09-07 | Paper |
| Introduction to Khovanov homologies. I. Unreduced Jones superpolynomial | 2016-08-12 | Paper |
| Spectral dualities in XXZ spin chains and five dimensional gauge theories | 2016-08-12 | Paper |
| Are there \(p\)-adic knot invariants? | 2016-07-19 | Paper |
| On Factorization of Generalized Macdonald Polynomials | 2016-07-03 | Paper |
| Quantum Racah matrices and 3-strand braids in irreps R with |R|=4 | 2016-05-10 | Paper |
| Towards \(\mathcal{R}\)-matrix construction of Khovanov-Rozansky polynomials I. Primary \(T\)-deformation of HOMFLY | 2016-04-07 | Paper |
| Three-particle integrable systems with elliptic dependence on momenta and theta function identities | 2016-02-26 | Paper |
| Colored HOMFLY polynomials as multiple sums over paths or standard Young tableaux | 2016-01-15 | Paper |
| On genus expansion of superpolynomials | 2015-12-02 | Paper |
| Matching branches of a nonperturbative conformal block at its singularity divisor | 2015-10-22 | Paper |
| SU(2)/SL(2) knot invariants and KS monodromies | 2015-10-19 | Paper |
| Evolution method and HOMFLY polynomials for virtual knots | 2015-09-03 | Paper |
| On possible existence of HOMFLY polynomials for virtual knots | 2015-07-27 | Paper |
| On the defect and stability of differential expansion | 2015-04-27 | Paper |
| Differential hierarchy and additional grading of knot polynomials | 2015-03-16 | Paper |
| Integrability properties of Hurwitz partition functions. II. Multiplication of cut-and-join operators and WDVV equations | 2015-03-06 | Paper |
| On colored HOMFLY polynomials for twist knots | 2014-12-15 | Paper |
| Infinite-dimensional topological field theories from Hurwitz numbers | 2014-10-15 | Paper |
| Genus expansion of HOMFLY polynomials | 2014-10-13 | Paper |
| Towards the proof of AGT relations with the help of the generalized Jack polynomials | 2014-09-04 | Paper |
| Knot polynomials in the first non-symmetric representation | 2014-04-24 | Paper |
| Introduction to Khovanov homologies. III. A new and simple tensor-algebra construction of Khovanov-Rozansky invariants | 2014-03-27 | Paper |
| Three-dimensional extensions of the Alday-Gaiotto-Tachikawa relation | 2014-01-28 | Paper |
| Challenges of \(\beta\)-deformation | 2014-01-28 | Paper |
| Cardy-Frobenius extension of the algebra of cut-and-join operators | 2014-01-09 | Paper |
| Resolvents and Seiberg-Witten representation for a Gaussian \(\beta\)-ensemble | 2013-11-12 | Paper |
| Complete set of cut-and-join operators in the Hurwitz-Kontsevich theory | 2013-11-06 | Paper |
| Resultants and contour integrals | 2013-09-11 | Paper |
| Evolution method and "differential hierarchy" of colored knot polynomials | 2013-06-13 | Paper |
| Racah coefficients and extended HOMFLY polynomials for all 5-, 6- and 7-strand braids | 2013-05-13 | Paper |
| On genus expansion of knot polynomials and hidden structure of Hurwitz tau-functions | 2013-04-28 | Paper |
| Spectral duality between Heisenberg chain and Gaudin model | 2013-04-15 | Paper |
| CHARACTER EXPANSION FOR HOMFLY POLYNOMIALS III: ALL 3-STRAND BRAIDS IN THE FIRST SYMMETRIC REPRESENTATION | 2013-04-04 | Paper |
| Integrability in non-perturbative QFT | 2013-03-11 | Paper |
| New and old results in resultant theory | 2012-11-05 | Paper |
| Combinatorial expansions of conformal blocks | 2012-11-05 | Paper |
| Calculations in conformal theory needed for verifying the Alday-Gaiotto-Tachikawa hypothesis | 2012-11-05 | Paper |
| Higher nilpotent analogues of \(A_{\infty}\)-structure | 2012-10-18 | Paper |
| Introduction to Khovanov Homologies. II. Reduced Jones superpolynomials | 2012-09-23 | Paper |
| Some properties of the Alday-Maldacena minimum | 2012-09-08 | Paper |
| On \(n\)-point amplitudes in \(N = 4\) SYM | 2012-08-26 | Paper |
| Virasoro constraints for Kontsevich-Hurwitz partition function | 2012-08-18 | Paper |
| Faces of matrix models | 2012-04-17 | Paper |
| Spectral Duality in Integrable Systems from AGT Conjecture | 2012-04-04 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3105257 | 2012-01-05 | Paper |
| Character expansion for HOMFLY polynomials. I. Integrability and difference equations | 2011-12-24 | Paper |
| Integrability and matrix models | 2011-07-25 | Paper |
| On AGT relations with surface operator insertion and a stationary limit of beta-ensembles | 2011-05-23 | Paper |
| Conformal blocks and generalized Selberg integrals | 2011-03-14 | Paper |
| Analogue of the identity Log Det = Trace Log for resultants | 2011-02-21 | Paper |
| Chern-Simons theory in the temporal gauge and knot invariants through the universal quantum R-matrix | 2011-02-03 | Paper |
| Deviation from Alday-Maldacena duality for wavy circle | 2010-10-12 | Paper |
| Unitary integrals and related matrix models | 2010-09-24 | Paper |
| Resolving puzzles of massive gravity with and without violation of Lorentz symmetry | 2010-07-07 | Paper |
| Linearized Lorentz-violating gravity and discriminant locus in the moduli space of mass terms | 2010-03-22 | Paper |
| The resultant as the determinant of a Koszul complex | 2010-02-05 | Paper |
| Partition functions of matrix models as the first special functions of string theory: finite Hermitian one-matrix model | 2010-01-18 | Paper |
| Universal Algebras of Hurwitz Numbers | 2009-09-07 | Paper |
| Introduction to Integral Discriminants | 2009-03-16 | Paper |
| An \(A_{\infty}\) structure on simplicial complexes | 2009-03-02 | Paper |
| Hamiltonian formalism in the presence of higher derivatives | 2009-03-02 | Paper |
| ON THE SHAPES OF ELEMENTARY DOMAINS OR WHY MANDELBROT SET IS MADE FROM ALMOST IDEAL CIRCLES? | 2009-03-02 | Paper |
| Boundary Ring or a Way to Construct Approximate NG Solutions with Polygon Boundary Conditions. II | 2009-01-28 | Paper |
| Radiation beyond four space-time dimensions | 2008-11-10 | Paper |
| Nonlinear algebra and Bogoliubov's recursion | 2008-10-21 | Paper |
| Instantons and merons in matrix models | 2007-11-12 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5310050 | 2007-10-08 | Paper |
| M-theory of matrix models | 2007-08-20 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5394309 | 2006-10-26 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3372214 | 2006-02-20 | Paper |
| GLUINO-CONDENSATE (CIV-DV) PREPOTENTIAL FROM ITS WHITHAM–TIME DERIVATIVES | 2006-02-07 | Paper |
| Solving Virasoro constraints in matrix models | 2005-06-13 | Paper |
| Non-perturbative flow equations from continuous unitary transformations | 2005-03-07 | Paper |
| Calculating Gluino-Condensate Prepotential | 2003-10-09 | Paper |
| Can renormalization group flow end in a Big Mess? | 2003-08-24 | Paper |
| The Dijkgraaf-Vafa prepotential in the context of general Seiberg-Witten theory | 2003-04-09 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4781694 | 2003-02-06 | Paper |
| Experiments with the WDVV equations for the gluino-condensate prepotential: the cubic (two-cut) case | 2003-02-05 | Paper |
| Integrability and Seiberg-Witten exact solution | 2002-10-28 | Paper |
| QCD, Wick's theorem for KdV \(\tau\)-functions and the string equation | 2001-08-08 | Paper |
| WDVV Equations from Algebra of Forms | 2001-08-01 | Paper |
| INTEGRABLE SYSTEMS AND DOUBLE-LOOP ALGEBRAS IN STRING THEORY | 2001-07-31 | Paper |
| FROM VIRASORO CONSTRAINTS IN KONTSEVICH’S MODEL TO ${\mathcal W}$-CONSTRAINTS IN TWO-MATRIX MODELS | 2001-07-31 | Paper |
| PAIR CORRELATOR IN THE ITZYKSON-ZUBER INTEGRAL | 2001-07-31 | Paper |
| q-HYPERGEOMETRIC FUNCTIONS IN THE FORMALISM OF FREE FIELDS | 2001-07-31 | Paper |
| Seiberg-Witten theory for a non-trivial compactification from five to four dimensions. | 2001-05-07 | Paper |
| New matrix model solutions to the Kac-Schwarz problem | 2001-03-08 | Paper |
| The Ruijsenaars-Schneider model in the context of Seiberg-Witten theory. | 2000-07-12 | Paper |
| RG equations from Whitham hierarchy | 2000-07-11 | Paper |
| \(c=r_ G\) theories of \(W_ G\)-gravity: The set of observables as a model of simply laced \(G\). | 2000-03-05 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4263542 | 1999-09-22 | Paper |
| FREE-FIELD REPRESENTATION OF GROUP ELEMENT FOR SIMPLE QUANTUM GROUPS | 1999-09-05 | Paper |
| Prepotential and the Seiberg-Witten theory | 1997-04-16 | Paper |
| A matrix integral solution to \([P,Q=P\) and matrix Laplace transforms] | 1997-03-23 | Paper |
| Integrability and Seiberg-Witten theory -- curves and periods | 1996-10-01 | Paper |
| On a \(c\)-number quantum \(\tau\)-function | 1996-08-12 | Paper |
| \(q\)-hypergeometric functions quantum algebras and free fields | 1995-11-21 | Paper |
| GEOMETRIC APPROACH TO SUPERSYMMETRY | 1995-01-03 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4288963 | 1994-04-28 | Paper |
| SOME EXAMPLES OF INSTANTONS IN SIGMA MODELS | 1992-06-25 | Paper |
| SOME EXAMPLES OF INSTANTONS IN SIGMA MODELS II: K3 MANIFOLDS | 1992-06-25 | Paper |
| CONTINUOUS SUGAWARA-LIKE REALIZATION OF c=1 CONFORMAL MODELS | 1990-01-01 | Paper |
| QUASI-EXACTLY-SOLVABLE QUANTAL PROBLEMS: ONE-DIMENSIONAL ANALOGUE OF RATIONAL CONFORMAL FIELD THEORIES | 1990-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3199735 | 1989-01-01 | Paper |
