Alexandr Buryak

Publications⁴⁴

• Article Buryak A. Extended $r$-spin theory and the mirror symmetry for the $A_{r-1}$-singularity // Moscow Mathematical Journal. 2020. Vol. 20. No. 3. P. 475-493. doi
• Preprint Buryak A., Netser Zernik A., Pandharipande R., Tessler R. J. Open $\CP^1$ descendent theory I: The stationary sector / Cornell University. Series arxive "math". 2020.
• Article Basalaev A., Buryak A. Open Saito theory for A and D singularities // International Mathematics Research Notices. 2020 doi (in press)
• Preprint Buryak A., Clader E., Tessler R. J. Open r-spin theory I: Foundations / Cornell University. Series arxive "math". 2020.
• Preprint Buryak A., Brauer Gomez O. Open topological recursion relations in genus 1 and integrable systems / Cornell University. Series arxive "math". 2020.
• Preprint Arsie A., Buryak A., Lorenzoni P., Rossi P. Semisimple flat F-manifolds in higher genus / Cornell University. Series arxive "math". 2020.
• Preprint Buryak A., Rossi P., Shadrin S. Towards a bihamiltonian structure for the double ramification hierarchy / Cornell University. Series arxive "math". 2020.
• Article Buryak A., Clader E., Tessler R. J. Closed extended r-spin theory and the Gelfand-Dickey wave function // Journal of Geometry and Physics. 2019. Vol. 137. P. 132-153. doi
• Article Guere J., Rossi P., Buryak A. DR/DZ equivalence conjecture and tautological relations // Geometry and Topology. 2019. Vol. 23. No. 7. P. 3537-3600. doi
• Article Buryak A., Dubrovin B., Guere J., Rossi P. Integrable systems of double ramification type // International Mathematics Research Notices. 2019 doi (in press)
• Article Basalaev A., Buryak A. Open WDVV equations and Virasoro constraints // Arnold Mathematical Journal. 2019. Vol. 5. No. 2-3. P. 145-186. doi
• Preprint Buryak A., Rossi P. Quadratic double ramification integrals and the noncommutative KdV hierarchy / Cornell University. Series arxive "math". 2019.
• Preprint Buryak A., Rossi P. Extended r-spin theory in all genera and the discrete KdV hierarchy / Cornell University. Series arxive "math". 2018.
• Preprint Buryak A., Clader E., Tessler R. J. Open r-spin theory II: The analogue of Witten's conjecture for r-spin disks / Cornell University. Series arxive "math". 2018.
• Article Buryak A., Rossi P. Simple Lax description of the ILW hierarchy // Symmetry, Integrability and Geometry: Methods and Applications (SIGMA). 2018. Vol. 14. No. 120. P. 1-7. doi
• Article Buryak A., Dubrovin B., Guere J., Rossi P. Tau-structure for the double ramification hierarchies // Communications in Mathematical Physics. 2018. Vol. 363. No. 1. P. 191-260. doi
• Article Buryak A. Double ramification cycles and the n-point function for the moduli space of curves // Moscow Mathematical Journal. 2017. Vol. 17. No. 1. P. 1-13. doi
• Article Buryak A., Tessler R. J. Matrix models and a proof of the open analog of Witten's conjecture // Communications in Mathematical Physics. 2017. Vol. 353. No. 3. P. 1299-1328. doi
• Article Alexandrov A., Buryak A., Tessler R. J. Refined open intersection numbers and the Kontsevich-Penner matrix model // Journal of High Energy Physics. 2017. Vol. 2017. No. 123. P. 123. doi
• Article Буряк А. Ю. Новые подходы к иерархиям топологического типа // Успехи математических наук. 2017. Т. 72. № 5(437). С. 63-112. doi
• Article Buryak A., Rossi P. Double ramification cycles and quantum integrable systems // Letters in Mathematical Physics. 2016. Vol. 106. No. 3. P. 289-317. doi
• Article Buryak A. ILW equation for the Hodge integrals revisited // Mathematical Research Letters. 2016. Vol. 23. No. 3. P. 675-683. doi
• Article Buryak A. Open intersection numbers and the wave function of the KdV hierarchy // Moscow Mathematical Journal. 2016. Vol. 16. No. 1. P. 27-44. doi
• Article Buryak A., Rossi P. Recursion relations for double ramification hierarchies // Communications in Mathematical Physics. 2016. Vol. 342. No. 2. P. 533-568. doi
• Article Buryak A., Shadrin S., Zvonkine D. Top tautological group of $M_{g,n}$ // Journal of the European Mathematical Society. 2016. Vol. 18. No. 12. P. 2925-2951. doi
• Article Buryak A., Guere J. Towards a description of the double ramification hierarchy for Witten's r-spin class // Journal de Mathématiques Pures et Appliquées. 2016. Vol. 106. No. 5. P. 837-865. doi
• Article Buryak A., Feigin B. L., Nakajima H. A simple proof of the formula for the Betti numbers of the quasihomogeneous Hilbert schemes // International Mathematical Research Notices. 2015. Vol. 2015. No. 13. P. 4708-4715. doi
• Article Buryak A. Double ramification cycles and integrable hierarchies // Communications in Mathematical Physics. 2015. Vol. 336. No. 3. P. 1085-1107. doi
• Article Buryak A. Dubrovin-Zhang hierarchy for the Hodge integrals // Communications in Number Theory and Physics. 2015. Vol. 9. No. 2. P. 239-271. doi
• Article Buryak A. Equivalence of the open KdV and the open Virasoro equations for the moduli space of Riemann surfaces with boundary // Letters in Mathematical Physics. 2015. Vol. 105. No. 10. P. 1427-1448. doi
• Article Buryak A., Shadrin S., Spitz L., Zvonkine D. Integrals of $\psi$-classes over double ramification cycles // American Journal of Mathematics. 2015. Vol. 137. No. 3. P. 699-737. doi
• Article Buryak A., Janda F., Pandharipande R. The hypergeometric functions of the Faber-Zagier and Pixton relations // Pure and Applied Mathematics Quarterly. 2015. Vol. 11. No. 4. P. 591-631. doi
• Chapter Buryak A., Feigin B. L. Generating series of the Poincare polynomials of quasihomogeneous Hilbert schemes, in: Symmetries, Integrable Systems and Representations Vol. 40: Symmetries, Integrable Systems and Representations. Springer, 2013. doi
• Article Буряк А. Ю. Пространство модулей пучков и обобщение формулы Мак-Магона // Функциональный анализ и его приложения. 2013. Т. 47. № 2. С. 18-26. doi
• Article Buryak A., Posthuma H., Shadrin S. A polynomial bracket for the Dubrovin-Zhang hierarchies // Journal of Differential Geometry. 2012. Vol. 92. No. 1. P. 153-185. doi
• Article Feigin B. L., Buryak A. Homogeneous components in the moduli space of sheaves and Virasoro characters // Journal of Geometry and Physics. 2012. Vol. 62. No. 7. P. 1652-1664. doi
• Article Buryak A., Posthuma H., Shadrin S. On deformations of quasi-Miura transformations and the Dubrovin-Zhang bracket // Journal of Geometry and Physics. 2012. Vol. 62. No. 7. P. 1639-1651. doi
• Article Buryak A. The classes of the quasihomogeneous Hilbert schemes of points on the plane // Moscow Mathematical Journal. 2012. Vol. 12. No. 1. P. 1-17. doi
• Article Buryak A., Shadrin S. A new proof of Faber's intersection number conjecture // Advances in Mathematics. 2011. Vol. 228. P. 22-42. doi
• Article Buryak A. Bott's residue formula for singular varieties // TWMS Journal of Pure and Applied Mathematics. 2011. Vol. 2. No. 1. P. 17-21.
• Article Буряк А. Ю. Первые ненулевые члены разложения Тейлора с центром в точке 1 потенциальной функции Конвея // Вестник Московского университета. Серия 1: Математика. Механика. 2011. № 1. С. 57-59. doi
• Article Buryak A., Shadrin S. A remark on deformations of Hurwitz Frobenius manifolds // Letters in Mathematical Physics. 2010. Vol. 93. No. 3. P. 243-252. doi
• Article Buryak A. Existence of a singular projective variety with an arbitrary set of characteristic numbers // Mathematical Research Letters. 2010. Vol. 17. No. 3. P. 395-400. doi
• Article Буряк А. Ю. Ряд Пуанкаре дивизориальной фильтрации, связанной с кривой с одной ветвью на бесконечности // Математические заметки. 2010. Т. 87. № 1. С. 60-68. doi