9 papers
Zero Knowledge Proofs in Quantum Networks
Tuhin Paul, Srijani Das, Manasi Patra +1
Zero-knowledge proofs (ZKPs) enable the verification of a statement without revealing any information beyond its validity and constitute a fundamental primitive in cryptography and…
On the classification of small cyclotomic integers
Jitendra Bajpai, Srijan Das, Kiran S. Kedlaya +1
We give a general classification theorem for cyclotomic algebraic integers with all complex absolute values bounded by a fixed constant , modeled on the theorem of Cassels which…
Towards a generalized Maeda conjecture for modular forms with quadratic nebentypus
Debargha Banerjee, Dhrubajyoti Das, Srijan Das +2
We establish a lower bound for the number of non-CM Galois orbits of newforms in with non-trivial quadratic nebentypus for sufficiently large weights. Extending the…
A note on extensions of -adic representations of
Debargha Banerjee, Srijan Das
We compute extension groups in the category of duals of -adic Banach space representations of . Focusing on representations arising from the -adi…
Device-Independent Anonymous Communication in Quantum Networks
Srijani Das, Manasi Patra, Tuhin Paul +2
Anonymity is a fundamental cryptographic primitive that hides the identities of both senders and receivers during message transmission over a network. Classical protocols cannot pr…
Sublinear Sketches for Approximate Nearest Neighbor and Kernel Density Estimation
Ved Danait, Srijan Das, Sujoy Bhore
Approximate Nearest Neighbor (ANN) search and Approximate Kernel Density Estimation (A-KDE) are fundamental problems at the core of modern machine learning, with broad applications…
The exceptional set in Cassel's theorem on small cyclotomic integers
Jitendra Bajpai, Srijan Das, Kiran S. Kedlaya +4
In a 1965 paper, R. Robinson made five conjectures about the classification of cyclotomic algebraic integers for which the maximum absolute value in any complex embedding (the hous…
Measurement-Induced Local Dephasing Generates Symmetrically Located Entangled Sites in a Fermionic Tight-Binding Lattice
Aitijhya Saha, Srijani Das, Debraj Rakshit
We investigate an odd-sized fermionic open tight-binding chain subjected to stochastic projective measurements at its central site, effectively inducing localized dephasing. Focusi…
Ordinary local representations and $\Ext$ groups
Debargha Banerjee, Srijan Das
We can associate an admissible unitary representation of $\GL_2(\Q_p)$ with every local Galois representation by the -adic local Langlands correspondence. If $ρ_p…