Emma Pollard

Publications

1. Matrix inequalities indexed by chordal graphs (with Mokshay Madiman), in preparation, 15 pages. 

2. Entropic symmetrization resistance (with Mokshay Madiman), in preparation, 34 pages.

3. Submodular function inequalities indexed by chordal graphs (with Mokshay Madiman), In proceedings of the 2023 IEEE International Symposium on Information Theory (ISIT), pages 2756–2761. IEEE, 2023. 

4. A Study of Some Entropy Inequalities. PhD thesis, University of Delaware, 2023.

my CV. 

Talks

Title:
Circularly Symmetric Complex Gaussian Random Vectors, Entropy, and Determinants

Abstract:
Circularly symmetric complex Gaussian (CSCG) random vectors are an elegant generalization of jointly Gaussian random vectors which have found use in communications engineering but seem to be little known to mathematicians. In this talk we will introduce jointly Gaussian and CSCG random vectors and cover some useful facts from the theory of CSCG random vectors. We will then briefly demonstrate two applications which link determinant inequalities for positive definite Hermitian matrices with information theory. This talk is intended to be accessible to first-year graduate students or advanced undergraduates, and is based on joint work with Mokshay Madiman (University of Delaware).

Teaching

Single-Variable Calculus (Playlist)

Vector Calculus (Playlist)