Edit Profile (opens in new tab) Buryak, Alexandr Y. Co-Author Distance Author ID: buryak.alexandr-y Published as: Buryak, Alexandr; Buryak, A.; Buryak, A. Yu.; Buryak, Alexandr Y.; Buryak, A. Y. more...less Homepage: https://sites.google.com/site/alexandrburyakhomepage/ External Links: MGP · ORCID · Google Scholar · Math-Net.Ru Documents Indexed: 59 Publications since 2010, including 7 Additional arXiv Preprints Co-Authors: 24 Co-Authors with 44 Joint Publications 428 Co-Co-Authors all top 5 Co-Authors 15 single-authored 16 Rossi, Paolo 9 Shadrin, Sergey V. 7 Tessler, Ran J. 4 Clader, Emily 4 Guéré, Jérémy 3 Arsie, Alessandro 3 Basalaev, Alexey 3 Feĭgin, Boris L’vovich 3 Lorenzoni, Paolo 3 Zvonkine, Dimitri 2 Alexandrov, Alexander Sergeevich 2 Dubrovin, Boris Anatol’evich 2 Pandharipande, Rahul 2 Posthuma, Hessel Bouke 1 Blot, Xavier 1 Brauer, O. 1 Gomez, Oscar Brauer 1 Gubarevich, Danil 1 Hernández Iglesias, Francisco 1 Janda, Felix 1 Nakajima, Hiraku 1 Spitz, Loek 1 Troshkin, Mikhail 1 Zernik, Amitai Netser all top 5 Serials 6 Communications in Mathematical Physics 6 IMRN. International Mathematics Research Notices 5 Moscow Mathematical Journal 4 Letters in Mathematical Physics 4 Journal of Geometry and Physics 3 Advances in Mathematics 2 Functional Analysis and its Applications 2 Mathematical Research Letters 2 Journal of High Energy Physics 1 Mathematical Notes 1 Moscow University Mathematics Bulletin 1 Russian Mathematical Surveys 1 American Journal of Mathematics 1 Bulletin of the London Mathematical Society 1 Journal of Differential Geometry 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Mathematical Physics, Analysis and Geometry 1 Geometry & Topology 1 Journal of the European Mathematical Society (JEMS) 1 Journal of the Institute of Mathematics of Jussieu 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Pure and Applied Mathematics Quarterly 1 Communications in Number Theory and Physics 1 TWMS Journal of Pure and Applied Mathematics 1 Arnold Mathematical Journal 1 Épijournal de Géométrie Algébrique. EPIGA all top 5 Fields 40 Algebraic geometry (14-XX) 23 Dynamical systems and ergodic theory (37-XX) 15 Differential geometry (53-XX) 7 Quantum theory (81-XX) 6 Partial differential equations (35-XX) 4 Combinatorics (05-XX) 2 Nonassociative rings and algebras (17-XX) 2 Manifolds and cell complexes (57-XX) 2 Relativity and gravitational theory (83-XX) 1 Commutative algebra (13-XX) 1 Associative rings and algebras (16-XX) 1 Functions of a complex variable (30-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Algebraic topology (55-XX) 1 Global analysis, analysis on manifolds (58-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 43 Publications have been cited 384 times in 136 Documents Cited by ▼ Year ▼ A polynomial bracket for the Dubrovin-Zhang hierarchies. Zbl 1259.53079 Buryak, Alexandr; Posthuma, Hessel; Shadrin, Sergey 38 2012 On deformations of quasi-Miura transformations and the Dubrovin-Zhang bracket. Zbl 1242.53113 Buryak, A.; Posthuma, H.; Shadrin, S. 26 2012 Open intersection numbers and the wave function of the KdV hierarchy. Zbl 1339.35265 Buryak, A. 26 2016 Double ramification cycles and integrable hierarchies. Zbl 1329.14103 Buryak, A. 25 2015 Integrals of \(\psi\)-classes over double ramification cycles. Zbl 1342.14054 Buryak, A.; Shadrin, S.; Spitz, L.; Zvonkine, D. 22 2015 Recursion relations for double ramification hierarchies. Zbl 1343.37062 Buryak, Alexandr; Rossi, Paolo 19 2016 Closed extended \(r\)-spin theory and the Gelfand-Dickey wave function. Zbl 1415.37091 Buryak, Alexandr; Clader, Emily; Tessler, Ran J. 19 2019 Equivalence of the open KdV and the open Virasoro equations for the moduli space of Riemann surfaces with boundary. Zbl 1323.35158 Buryak, Alexandr 18 2015 Tau-structure for the double ramification hierarchies. Zbl 1431.53095 Buryak, Alexandr; Dubrovin, Boris; Guéré, Jérémy; Rossi, Paolo 17 2018 Double ramification cycles and quantum integrable systems. Zbl 1338.14030 Buryak, Alexandr; Rossi, Paolo 14 2016 Matrix models and a proof of the open analog of Witten’s conjecture. Zbl 1372.14004 Buryak, Alexandr; Tessler, Ran J. 14 2017 Refined open intersection numbers and the Kontsevich-Penner matrix model. Zbl 1377.83107 Alexandrov, Alexander; Buryak, Alexandr; Tessler, Ran J. 13 2017 Dubrovin-Zhang hierarchy for the Hodge integrals. Zbl 1326.37041 Buryak, A. 13 2015 Towards a description of the double ramification hierarchy for Witten’s \(r\)-spin class. Zbl 1352.37176 Buryak, Alexandr; Guéré, Jérémy 9 2016 Integrable systems of double ramification type. Zbl 1464.37071 Buryak, Alexandr; Dubrovin, Boris; Guéré, Jérémy; Rossi, Paolo 9 2020 DR/DZ equivalence conjecture and tautological relations. Zbl 1469.14065 Buryak, Alexandr; Guéré, Jérémy; Rossi, Paolo 8 2019 Open WDVV equations and Virasoro constraints. Zbl 1437.37088 Basalaev, Alexey; Buryak, Alexandr 8 2019 Extended \(r\)-spin theory in all genera and the discrete KdV hierarchy. Zbl 1473.14048 Buryak, Alexandr; Rossi, Paolo 8 2021 Extended \(r\)-spin theory and the mirror symmetry for the \(A_{r-1}\)-singularity. Zbl 1462.14042 Buryak, Alexandr 7 2020 The hypergeometric functions of the Faber-Zagier and Pixton relations. Zbl 1366.14026 Buryak, A.; Janda, F.; Pandharipande, R. 6 2015 A simple proof of the formula for the Betti numbers of the quasihomogeneous Hilbert schemes. Zbl 1353.14007 Buryak, Alexandr; Feigin, Boris Lvovich; Nakajima, Hiraku 6 2015 Flat F-manifolds, F-CohFTs, and integrable hierarchies. Zbl 1489.37083 Arsie, Alessandro; Buryak, Alexandr; Lorenzoni, Paolo; Rossi, Paolo 6 2021 Open Saito theory for \(A\) and \(D\) singularities. Zbl 1491.53092 Basalaev, Alexey; Buryak, Alexandr 5 2021 A new proof of Faber’s intersection number conjecture. Zbl 1234.14023 Buryak, A.; Shadrin, S. 4 2011 Double ramification cycles and the \(n\)-point function for the moduli space of curves. Zbl 1387.14078 Buryak, Alexandr 4 2017 Generating series of the Poincaré polynomials of quasihomogeneous Hilbert schemes. Zbl 1307.14007 Buryak, A.; Feigin, B. L. 4 2013 Quadratic double ramification integrals and the noncommutative KdV hierarchy. Zbl 1469.14066 Buryak, Alexandr; Rossi, Paolo 4 2021 The classes of the quasihomogeneous Hilbert schemes of points on the plane. Zbl 1262.14005 Buryak, A. 4 2012 ILW equation for the Hodge integrals revisited. Zbl 1367.14013 Buryak, Alexandr 3 2016 A remark on deformations of Hurwitz Frobenius manifolds. Zbl 1204.37070 Buryak, Alexandr; Shadrin, Sergey 3 2010 Towards a bihamiltonian structure for the double ramification hierarchy. Zbl 1461.14034 Buryak, Alexandr; Rossi, Paolo; Shadrin, Sergey 3 2021 Open \(r\)-spin theory. I: Foundations. Zbl 1504.14078 Buryak, Alexandr; Clader, Emily; Tessler, Ran J. 3 2022 Semisimple flat F-manifolds in higher genus. Zbl 1517.53078 Arsie, Alessandro; Buryak, Alexandr; Lorenzoni, Paolo; Rossi, Paolo 3 2023 Simple Lax description of the ILW hierarchy. Zbl 1407.37101 Buryak, Alexandr; Rossi, Paolo 3 2018 Existence of a singular projective variety with an arbitrary set of characteristic numbers. Zbl 1226.57039 Buryak, A. Y. 2 2010 Bott’s residue formula for singular varieties. Zbl 1229.14017 Buryak, A. 1 2011 Top tautological group of \(\mathcal{M}_{g,n}\). Zbl 1374.14024 Buryak, Alexandr; Shadrin, Sergey; Zvonkine, Dimitri 1 2016 A generalisation of Witten’s conjecture for the Pixton class and the noncommutative KdV hierarchy. Zbl 1523.14052 Buryak, Alexandr; Rossi, Paolo 1 2023 Open \(\mathbb{CP}^1\) descendent theory. I: The stationary sector. Zbl 1499.14020 Buryak, Alexandr; Netser Zernik, Amitai; Pandharipande, Rahul; Tessler, Ran J. 1 2022 The moduli space of sheaves and a generalization of MacMahon’s formula. Zbl 1295.05259 Buryak, A. Yu. 1 2013 Open topological recursion relations in genus 1 and integrable systems. Zbl 1459.81104 Gomez, Oscar Brauer; Buryak, Alexandr 1 2021 New approaches to integrable hierarchies of topological type. Zbl 1400.14073 Buryak, Alexandr Y. 1 2017 Riemannian F-manifolds, bi-flat F-manifolds, and flat pencils of metrics. Zbl 1509.37098 Arsie, Alessandro; Buryak, Alexandr; Lorenzoni, Paolo; Rossi, Paolo 1 2022 Semisimple flat F-manifolds in higher genus. Zbl 1517.53078 Arsie, Alessandro; Buryak, Alexandr; Lorenzoni, Paolo; Rossi, Paolo 3 2023 A generalisation of Witten’s conjecture for the Pixton class and the noncommutative KdV hierarchy. Zbl 1523.14052 Buryak, Alexandr; Rossi, Paolo 1 2023 Open \(r\)-spin theory. I: Foundations. Zbl 1504.14078 Buryak, Alexandr; Clader, Emily; Tessler, Ran J. 3 2022 Open \(\mathbb{CP}^1\) descendent theory. I: The stationary sector. Zbl 1499.14020 Buryak, Alexandr; Netser Zernik, Amitai; Pandharipande, Rahul; Tessler, Ran J. 1 2022 Riemannian F-manifolds, bi-flat F-manifolds, and flat pencils of metrics. Zbl 1509.37098 Arsie, Alessandro; Buryak, Alexandr; Lorenzoni, Paolo; Rossi, Paolo 1 2022 Extended \(r\)-spin theory in all genera and the discrete KdV hierarchy. Zbl 1473.14048 Buryak, Alexandr; Rossi, Paolo 8 2021 Flat F-manifolds, F-CohFTs, and integrable hierarchies. Zbl 1489.37083 Arsie, Alessandro; Buryak, Alexandr; Lorenzoni, Paolo; Rossi, Paolo 6 2021 Open Saito theory for \(A\) and \(D\) singularities. Zbl 1491.53092 Basalaev, Alexey; Buryak, Alexandr 5 2021 Quadratic double ramification integrals and the noncommutative KdV hierarchy. Zbl 1469.14066 Buryak, Alexandr; Rossi, Paolo 4 2021 Towards a bihamiltonian structure for the double ramification hierarchy. Zbl 1461.14034 Buryak, Alexandr; Rossi, Paolo; Shadrin, Sergey 3 2021 Open topological recursion relations in genus 1 and integrable systems. Zbl 1459.81104 Gomez, Oscar Brauer; Buryak, Alexandr 1 2021 Integrable systems of double ramification type. Zbl 1464.37071 Buryak, Alexandr; Dubrovin, Boris; Guéré, Jérémy; Rossi, Paolo 9 2020 Extended \(r\)-spin theory and the mirror symmetry for the \(A_{r-1}\)-singularity. Zbl 1462.14042 Buryak, Alexandr 7 2020 Closed extended \(r\)-spin theory and the Gelfand-Dickey wave function. Zbl 1415.37091 Buryak, Alexandr; Clader, Emily; Tessler, Ran J. 19 2019 DR/DZ equivalence conjecture and tautological relations. Zbl 1469.14065 Buryak, Alexandr; Guéré, Jérémy; Rossi, Paolo 8 2019 Open WDVV equations and Virasoro constraints. Zbl 1437.37088 Basalaev, Alexey; Buryak, Alexandr 8 2019 Tau-structure for the double ramification hierarchies. Zbl 1431.53095 Buryak, Alexandr; Dubrovin, Boris; Guéré, Jérémy; Rossi, Paolo 17 2018 Simple Lax description of the ILW hierarchy. Zbl 1407.37101 Buryak, Alexandr; Rossi, Paolo 3 2018 Matrix models and a proof of the open analog of Witten’s conjecture. Zbl 1372.14004 Buryak, Alexandr; Tessler, Ran J. 14 2017 Refined open intersection numbers and the Kontsevich-Penner matrix model. Zbl 1377.83107 Alexandrov, Alexander; Buryak, Alexandr; Tessler, Ran J. 13 2017 Double ramification cycles and the \(n\)-point function for the moduli space of curves. Zbl 1387.14078 Buryak, Alexandr 4 2017 New approaches to integrable hierarchies of topological type. Zbl 1400.14073 Buryak, Alexandr Y. 1 2017 Open intersection numbers and the wave function of the KdV hierarchy. Zbl 1339.35265 Buryak, A. 26 2016 Recursion relations for double ramification hierarchies. Zbl 1343.37062 Buryak, Alexandr; Rossi, Paolo 19 2016 Double ramification cycles and quantum integrable systems. Zbl 1338.14030 Buryak, Alexandr; Rossi, Paolo 14 2016 Towards a description of the double ramification hierarchy for Witten’s \(r\)-spin class. Zbl 1352.37176 Buryak, Alexandr; Guéré, Jérémy 9 2016 ILW equation for the Hodge integrals revisited. Zbl 1367.14013 Buryak, Alexandr 3 2016 Top tautological group of \(\mathcal{M}_{g,n}\). Zbl 1374.14024 Buryak, Alexandr; Shadrin, Sergey; Zvonkine, Dimitri 1 2016 Double ramification cycles and integrable hierarchies. Zbl 1329.14103 Buryak, A. 25 2015 Integrals of \(\psi\)-classes over double ramification cycles. Zbl 1342.14054 Buryak, A.; Shadrin, S.; Spitz, L.; Zvonkine, D. 22 2015 Equivalence of the open KdV and the open Virasoro equations for the moduli space of Riemann surfaces with boundary. Zbl 1323.35158 Buryak, Alexandr 18 2015 Dubrovin-Zhang hierarchy for the Hodge integrals. Zbl 1326.37041 Buryak, A. 13 2015 The hypergeometric functions of the Faber-Zagier and Pixton relations. Zbl 1366.14026 Buryak, A.; Janda, F.; Pandharipande, R. 6 2015 A simple proof of the formula for the Betti numbers of the quasihomogeneous Hilbert schemes. Zbl 1353.14007 Buryak, Alexandr; Feigin, Boris Lvovich; Nakajima, Hiraku 6 2015 Generating series of the Poincaré polynomials of quasihomogeneous Hilbert schemes. Zbl 1307.14007 Buryak, A.; Feigin, B. L. 4 2013 The moduli space of sheaves and a generalization of MacMahon’s formula. Zbl 1295.05259 Buryak, A. Yu. 1 2013 A polynomial bracket for the Dubrovin-Zhang hierarchies. Zbl 1259.53079 Buryak, Alexandr; Posthuma, Hessel; Shadrin, Sergey 38 2012 On deformations of quasi-Miura transformations and the Dubrovin-Zhang bracket. Zbl 1242.53113 Buryak, A.; Posthuma, H.; Shadrin, S. 26 2012 The classes of the quasihomogeneous Hilbert schemes of points on the plane. Zbl 1262.14005 Buryak, A. 4 2012 A new proof of Faber’s intersection number conjecture. Zbl 1234.14023 Buryak, A.; Shadrin, S. 4 2011 Bott’s residue formula for singular varieties. Zbl 1229.14017 Buryak, A. 1 2011 A remark on deformations of Hurwitz Frobenius manifolds. Zbl 1204.37070 Buryak, Alexandr; Shadrin, Sergey 3 2010 Existence of a singular projective variety with an arbitrary set of characteristic numbers. Zbl 1226.57039 Buryak, A. Y. 2 2010 all cited Publications top 5 cited Publications all top 5 Cited by 143 Authors 29 Buryak, Alexandr Y. 14 Rossi, Paolo 14 Yang, Di 11 Zhang, Youjin 10 Liu, Siqi 9 Shadrin, Sergey V. 7 Dubrovin, Boris Anatol’evich 6 Alexandrov, Alexander Sergeevich 6 Lorenzoni, Paolo 6 Tessler, Ran J. 5 Zhou, Chunhui 4 Guéré, Jérémy 4 Zagier, Don Bernard 3 Arsie, Alessandro 3 Basalaev, Alexey 3 Carlet, Guido 3 Dunin-Barkovskiĭ, Petr Igorevich 3 Garcia-Failde, Elba 3 Hikami, Shinobu 3 Milanov, Todor E. 3 Posthuma, Hessel Bouke 3 Rim, Chaiho 3 Ruzza, Giulio 3 Vitolo, Raffaele F. 3 Wang, Zhe 2 Alëshkin, Konstantin Romanovich 2 Belavin, Vladimir A. 2 Bertola, Marco 2 Borot, Gaëtan 2 Brini, Andrea 2 Clader, Emily 2 Cotti, Giordano 2 Feĭgin, Boris L’vovich 2 Kramer, Reinier 2 Muraki, Hisayoshi 2 Okuyama, Kazumi 2 Ono, Ken 2 Pandharipande, Rahul 2 Pixton, Aaron 2 Popolitov, Aleksandr 2 Sakai, Kazuhiro 2 Takasaki, Kanehisa 2 Troost, Jan 2 van de Leur, Johan W. 2 Vašíček, Jakub 2 Zvonkine, Dimitri 1 Aluffi, Paolo 1 Ashok, Sujay K. 1 Bae, Younghan 1 Bakalov, Bojko 1 Bawane, Aditya 1 Bejleri, Dori 1 Blot, Xavier 1 Brauer, O. 1 Brézin, Edouard 1 Bringmann, Kathrin 1 Bülles, Tim-Henrik 1 Cavalieri, Renzo 1 Chai, Lin 1 Charbonnier, Séverin 1 Chekhov, Leonid O. 1 Chidambaram, Nitin Kumar 1 Craig, William 1 Delecroix, Vincent 1 Dijkgraaf, Robbert H. 1 du Crest de Villeneuve, Ann 1 Ebeling, Wolfgang 1 Falqui, Gregorio 1 Fei, Shumin 1 Ferapontov, Evgeny Vladimirovich 1 Francis, Amanda E. 1 Fu, Ang 1 Giacchetto, Alessandro 1 Gisonni, Massimo 1 Gomez, Oscar Brauer 1 Goresky, Robert Mark 1 Gormley, B. 1 Grava, Tamara 1 Griffin, Michael J. 1 Grushevsky, Samuel 1 Gubarevich, Danil 1 Guo, Jindong 1 Gusein-Zade, Sabir M. 1 Hernández Iglesias, Francisco 1 Hertling, Claus 1 Igonin, Sergeĭ Aleksandrovich 1 Janda, Felix 1 Jarvis, Tyler J. 1 Kazaryan, Maxim Eduardovich 1 Koroteev, Peter 1 Lee, Kyungyong 1 Lewanski, Danilo 1 Li, Chuanzhong 1 Li, Ji 1 Li, Li 1 Liu, Jiefeng 1 Liu, Kefeng 1 Loehr, Nicholas A. 1 Males, Joshua 1 Malham, Simon J. A. ...and 43 more Authors all top 5 Cited in 52 Serials 13 Communications in Mathematical Physics 12 Letters in Mathematical Physics 11 Journal of Geometry and Physics 11 Journal of High Energy Physics 6 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 5 Advances in Mathematics 5 Journal of Physics A: Mathematical and Theoretical 4 Physica D 4 Geometry & Topology 3 Nonlinearity 3 Nuclear Physics. B 3 Physics Letters. B 3 Acta Mathematica Sinica. English Series 2 Journal of Statistical Physics 2 Bulletin of the London Mathematical Society 2 Functional Analysis and its Applications 2 Inventiones Mathematicae 2 The Electronic Journal of Combinatorics 2 Mathematical Physics, Analysis and Geometry 2 Journal of the European Mathematical Society (JEMS) 2 Annales Henri Poincaré 2 Moscow Mathematical Journal 2 Journal of the Institute of Mathematics of Jussieu 2 Forum of Mathematics, Sigma 1 International Journal of Modern Physics A 1 Russian Mathematical Surveys 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Canadian Mathematical Bulletin 1 Compositio Mathematica 1 Publications Mathématiques 1 Journal of Differential Geometry 1 Journal of the London Mathematical Society. Second Series 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Annalen 1 Mathematische Zeitschrift 1 Pacific Journal of Mathematics 1 Proceedings of the American Mathematical Society 1 Transactions of the American Mathematical Society 1 Transactions of the Moscow Mathematical Society 1 Topology and its Applications 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Applicable Algebra in Engineering, Communication and Computing 1 International Journal of Robust and Nonlinear Control 1 Selecta Mathematica. New Series 1 Séminaire Lotharingien de Combinatoire 1 Journal of Systems Science and Complexity 1 Oberwolfach Reports 1 Japanese Journal of Mathematics. 3rd Series 1 The Journal of Software for Algebra and Geometry 1 Annales de l’Institut Henri Poincaré D. Combinatorics, Physics and their Interactions 1 Research in the Mathematical Sciences 1 Arnold Mathematical Journal all top 5 Cited in 33 Fields 75 Algebraic geometry (14-XX) 64 Dynamical systems and ergodic theory (37-XX) 47 Differential geometry (53-XX) 31 Quantum theory (81-XX) 18 Partial differential equations (35-XX) 13 Combinatorics (05-XX) 13 Nonassociative rings and algebras (17-XX) 12 Several complex variables and analytic spaces (32-XX) 11 Relativity and gravitational theory (83-XX) 6 Number theory (11-XX) 6 Global analysis, analysis on manifolds (58-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 4 Ordinary differential equations (34-XX) 4 Manifolds and cell complexes (57-XX) 3 Functions of a complex variable (30-XX) 3 Probability theory and stochastic processes (60-XX) 2 Special functions (33-XX) 2 Difference and functional equations (39-XX) 2 Mechanics of particles and systems (70-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Systems theory; control (93-XX) 1 General and overarching topics; collections (00-XX) 1 Mathematical logic and foundations (03-XX) 1 Commutative algebra (13-XX) 1 Associative rings and algebras (16-XX) 1 Group theory and generalizations (20-XX) 1 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-XX) 1 Geometry (51-XX) 1 Algebraic topology (55-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) 1 Fluid mechanics (76-XX) Citations by Year