Alexandr Buryak

Available identifiers

zbMath Open buryak.alexandr-yMaRDI QIDQ259997

List of research outcomes

Publication	Date of Publication	Type
A Construction of Open Descendant Potentials in All Genera	2024-01-25	Paper
A GENERALISATION OF WITTEN’S CONJECTURE FOR THE PIXTON CLASS AND THE NONCOMMUTATIVE KDV HIERARCHY	2023-10-17	Paper
An application of the nonlinear reciprocal transformations in the theory of DR hierarchies	2023-10-16	Paper
Integrable systems of finite type from F-cohomological field theories without unit	2023-10-13	Paper
https://portal.mardi4nfdi.de/entity/Q6055181	2023-09-28	Paper
Open \(r\)-spin theory. III: A prediction for higher genus	2023-09-04	Paper
Intersection numbers with Pixton's class and the noncommutative KdV hierarchy	2023-08-25	Paper
Semisimple flat F-manifolds in higher genus	2023-04-19	Paper
Counting meromorphic differentials on $\mathbb{CP}^1$	2023-04-19	Paper
Riemannian F-Manifolds, Bi-Flat F-Manifolds, and Flat Pencils of Metrics	2022-11-09	Paper
Tautological relations and integrable systems	2022-10-14	Paper
Open 𝑟-Spin Theory I: Foundations	2022-08-10	Paper
A conjectural formula for $DR_g(a,-a) \lambda_g$	2022-05-13	Paper
Open \(\mathbb{CP}^1\) descendent theory. I: The stationary sector	2022-04-27	Paper
Flat F-manifolds, F-CohFTs, and integrable hierarchies	2021-11-11	Paper
Moduli spaces of residueless meromorphic differentials and the KP hierarchy	2021-10-04	Paper
Open Saito Theory for A and D Singularities	2021-08-13	Paper
Quadratic double ramification integrals and the noncommutative KdV hierarchy	2021-08-13	Paper
Extended \(r\)-spin theory in all genera and the discrete KdV hierarchy	2021-07-05	Paper
Towards a bihamiltonian structure for the double ramification hierarchy	2021-05-07	Paper
Open topological recursion relations in genus 1 and integrable systems	2021-05-03	Paper
Riemannian F-manifolds, bi-flat F-manifolds, and flat pencils of metrics	2021-04-19	Paper
Extended $r$-spin theory and the mirror symmetry for the $A_{r-1}$-singularity	2021-03-30	Paper
Integrable Systems of Double Ramification Type	2021-03-16	Paper
Open WDVV equations and Virasoro constraints	2020-02-26	Paper
DR/DZ equivalence conjecture and tautological relations	2020-01-16	Paper
Semisimple flat F-manifolds in higher genus	2020-01-15	Paper
Closed extended \(r\)-spin theory and the Gelfand-Dickey wave function	2019-05-08	Paper
Simple Lax description of the ILW hierarchy	2019-01-11	Paper
Tau-structure for the double ramification hierarchies	2018-10-29	Paper
Open $r$-spin theory II: The analogue of Witten's conjecture for $r$-spin disks	2018-09-07	Paper
New approaches to integrable hierarchies of topological type	2018-08-20	Paper
Double ramification cycles and the $n$-point function for the moduli space of curves	2017-09-29	Paper
Matrix models and a proof of the open analog of Witten's conjecture	2017-07-14	Paper
The hypergeometric functions of the Faber-Zagier and Pixton relations	2017-05-05	Paper
Top tautological group of \(\mathcal{M}_{g,n}\)	2016-12-30	Paper
ILW equation for the Hodge integrals revisited	2016-12-20	Paper
Towards a description of the double ramification hierarchy for Witten's \(r\)-spin class	2016-09-29	Paper
Recursion relations for double ramification hierarchies	2016-03-24	Paper
Double ramification cycles and quantum integrable systems	2016-03-18	Paper
Equivalence of the open KdV and the open Virasoro equations for the moduli space of Riemann surfaces with boundary	2015-10-21	Paper
A Simple Proof of the Formula for the Betti Numbers of the Quasihomogeneous Hilbert Schemes: Fig. 1.	2015-07-27	Paper
Integrals of $\psi$-classes over double ramification cycles	2015-07-13	Paper
Generating Series of the Poincaré Polynomials of Quasihomogeneous Hilbert Schemes	2013-07-31	Paper
A polynomial bracket for the Dubrovin-Zhang hierarchies	2013-01-25	Paper
On deformations of quasi-Miura transformations and the Dubrovin-Zhang bracket	2012-06-04	Paper
Homogeneous components in the moduli space of sheaves and Virasoro characters	2012-06-04	Paper
A new proof of Faber's intersection number conjecture	2011-08-19	Paper
A remark on deformations of Hurwitz Frobenius manifolds	2010-10-08	Paper

Research outcomes over time

Doctoral students

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