6 papers
Classifying Groups of Certain Orders
Shihan Kanungo
We will first discuss the question of which integers have exactly one group of order , namely the cyclic group . We will see that these are the integ…
Upper Bounds for Sequence Saturation
Shihan Kanungo
In this paper, we study the saturation function for sequences. Saturation for sequences was introduced by Anand, Geneson, Kaustav, and Tsai (2021), who proved t…
Representation Theory of the Twisted Yangians in Complex Rank
Arun S. Kannan, Shihan Kanungo
In 2016, Etingof defined the notion of a Yangian in a symmetric tensor category and posed the problem to study them in the context of Deligne categories. This problem was studied b…
Space-Filling Curves
Shihan Kanungo
We examine space-filling curves, which are surjective continuous maps from to some higher-dimensional space, usually the unit square . In particular, we define Pea…
On Product Formulas of Guillera and Sondow
Shihan Kanungo, Jordan Schettler
In this note, we evaluate a multivariable family of infinite products which generalize Guillera's infinite product for , and Ser's formula (rediscovered by Sondow) for . We…
Mixed Tensor Products, Capelli Berezinians, and Newton's Formula for
Sidarth Erat, Arun S. Kannan, Shihan Kanungo
In this paper, we extend the results of Grantcharov and Robitaille in 2021 on mixed tensor products and Capelli determinants to the superalgebra setting. Specifically, we construct…