45 citations · 235 across the 29 of their papers we have counts for
32 papers
Segre surfaces and geometry of the Painlevé equations
Nalini Joshi, Marta Mazzocco, Pieter Roffelsen
In this paper, we consider a six parameter family of affine Segre surfaces embedded in . For generic values of the parameters, this family is associated to the -dif…
Generalized double affine Hecke algebras, their representations, and higher Teichmüller theory
Davide Dal Martello, Marta Mazzocco
Generalized double affine Hecke algebras (GDAHA) are flat deformations of the group algebras of -dimensional crystallographic groups associated to star-shaped simply laced affin…
Isomonodromic deformations: Confluence, Reduction Quantisation
Ilia Gaiur, Marta Mazzocco, Vladimir Rubtsov
In this paper we study the isomonodromic deformations of systems of differential equations with poles of any order on the Riemann sphere as Hamiltonian flows on the product of co-a…
The Sigma Form for the PII Hierarchy
Irina Bobrova, Marta Mazzocco
In this paper we study the so-called sigma form of the second Painlevé hierarchy. To obtain this form, we use some properties of the Hamiltonian structure of the second Painlevé hi…
Stokes phenomenon arising in the confluence of the Gauss hypergeometric equation
Calum Horrobin, Marta Mazzocco
In this paper we study the Gauss and Kummer hypergeometric equations in depth. In particular, we focus on the confluence of two regular singularities of the Gauss hypergeometric eq…
Quantised Painlevé monodromy manifolds, Sklyanin and Calabi-Yau algebras
Leonid Chekhov, Marta Mazzocco, Volodya Rubtsov
In this paper we study quantum del Pezzo surfaces belonging to a certain class. In particular we introduce the generalised Sklyanin-Painlevé algebra and characterise its PBW/PHS/Ko…