11 citations · 16 across the 12 of their papers we have counts for
14 papers
Strongly Pseudoconvex Domains with Finite Dimensional -Bergman Spaces
Shreedhar Bhat, Soumya Ganguly, Achinta Kumar Nandi
We show that for every , , and positive integer , there exists a finite-volume pseudoconvex domain with real-analytic strongly pseudoconvex bou…
Rigidity of Extremal and cscK Bergman Metrics on Pseudoconvex Domains
Peter Ebenfelt, Soumya Ganguly
Let , , be a bounded connected pseudoconvex domain whose boundary contains a smooth strongly pseudoconvex point. We prove that if the Bergman metric of…
On the Classification of Stein spaces with Bergman-Einstein metrics
Soumya Ganguly, Siddhartha Sahi
For every , we prove that the Bergman metric on the regular locus of a finite ball quotient , where is finite and fixed-point-free,…
Cohomology of complex supertori
Hargun Bhatia, Soumya Ganguly, Zhiyuan Jiang +2
We consider supertori which are quotients of affine superspace by translations by algebraically independent odd parameters. Specifically, we describe the ring structure of its spac…
Attention as In-Context Empirical Bayes: A Two-Stage View via Particle Dynamics
Matthew Smart, Soumya Ganguly, Nilava Metya +2
We study minimal attention-only transformers under all-token corruption and show they admit a two-stage empirical Bayes interpretation. A single attention step computes a kernel-we…
Abundance of Bergman metrics with constant positive holomorphic sectional curvature
Shreedhar Bhat, Soumya Ganguly, Achinta Kumar Nandi +1
An outstanding open question, which has attracted renewed attention following the pioneering work of Huang--Li--Treuer, is whether, for a given positive integer , there exists a…
On Laplacian and Distance Laplacian Spectra of Generalized Fan Graph & a New Graph Class
Subarsha Banerjee, Soumya Ganguly
Given a graph , the Laplacian matrix of , is the difference of the adjacency matrix and , where is the diagonal matrix of vertex…
Rotational symmetries of domains and orthogonality relations
Soumya Ganguly, John N. Treuer
Let be a domain whose Bergman space contains all holomorphic monomials. We derive sufficient conditions for to be Reinhardt, complete Reinhardt, circula…
Local algebraicity and localization of the Bergman kernel on Stein spaces with finite type boundaries
Peter Ebenfelt, Soumya Ganguly, Ming Xiao
On a two dimensional Stein space with isolated, normal singularities, smooth finite type boundary, and locally algebraic Bergman kernel, we establish an estimate on the type of the…
Uniform Approximation of -Invariant and Antisymmetric Functions, Embedding Dimensions, and Polynomial Representations
Soumya Ganguly, Khoa Tran, Rahul Sarkar
For any subgroup of the symmetric group on symbols, we present results for the uniform approximation of -invariant functions by -invar…
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…
Gravitational geometric phase
Banibrata Mukhopadhyay, Tanuman Ghosh, Soumya Kanti Ganguly
We show that spinors propagating in curved gravitational background acquire an interaction with spacetime curvature, which leads to a quantum mechanical geometric effect. This is s…
Gravity-Induced Geometric Phases and Entanglement in Spinors and Neutrinos: Gravitational Zeeman Effect
Banibrata Mukhopadhyay, Soumya Kanti Ganguly
We show Zeeman-like splitting in the energy of spinors propagating in a background gravitational field, analogous to the spinors in an electromagnetic field, otherwise termed the G…
Optimal linear Glauber model
Shaon Sahoo, Soumya Kanti Ganguly
Contrary to the actual nonlinear Glauber model (NLGM), the linear Glauber model (LGM) is exactly solvable, although the detailed balance condition is not generally satisfied. This…