47 citations · 55 across the 6 of their papers we have counts for
6 papers
Cores of partitions in rectangles
Arvind Ayyer, Shubham Sinha
For a positive integer , the -core of a partition plays an important role in modular representation theory and combinatorics. We initiate the study of -cores of par…
Bergman-Einstein metrics on two-dimensional Stein spaces
Soumya Ganguly, Shubham Sinha
We show that the Bergman metric of the ball quotients , where is a finite and fixed point free group, is Kähler-Einstein if and only if is trivial. As a con…
Euler characteristics of tautological bundles over Quot schemes of curves
Dragos Oprea, Shubham Sinha
We compute the Euler characteristics of tautological vector bundles and their exterior powers over the Quot schemes of curves. We give closed-form expressions over punctual Quot sc…
The virtual intersection theory of isotropic Quot Schemes
Shubham Sinha
Isotropic Quot schemes parameterize rank isotropic subsheaves of a vector bundle equipped with symplectic or symmetric quadratic form. We define a virtual fundamental class for…
Driving chemical reactions with polariton condensates
Sindhana Pannir-Sivajothi, Jorge A. Campos-Gonzalez-Angulo, Luis A. Martínez-Martínez +2
When molecular transitions strongly couple to photon modes, they form hybrid light-matter modes called polaritons. Collective vibrational strong coupling is a promising avenue for…
The size of -cores and hook lengths of random cells in random partitions
Arvind Ayyer, Shubham Sinha
Fix . We first give an asymptotic formula for certain sums of the number of -cores. We then use this result to compute the distribution of the size of the -core of…