Some Results in Higher Weight Hodge Theory

Author

Ryan Keast, Washington University in St. LouisFollow

Abstract

We present a number of novel results for Hodge theory of higher weight. These include a generalization of Ribet's Theorem, a representational constraint on normal functions, and a counting argument with possible applications to a generalization of Andre-Oort.

Committee Chair

Matthew Kerr

Committee Members

Roya Beheshti, Victor Wickerhauser, John Shareshian, Adrian Clingher,

Comments

Permanent URL: https://doi.org/10.7936/K7N8782R

Degree

Doctor of Philosophy (PhD)

Author's Department

Mathematics

Author's School

Graduate School of Arts and Sciences

Document Type

Dissertation

Date of Award

Spring 5-15-2016

Language

English (en)

DOI

https://doi.org/10.7936/K7N8782R

Recommended Citation

Keast, Ryan, "Some Results in Higher Weight Hodge Theory" (2016). Arts & Sciences Theses and Dissertations. 731.

The definitive version is available at https://doi.org/10.7936/K7N8782R