[Dissertation] Combinatorics of vexillary Grothendieck polynomials

Biographical Sketch
Dedication
Acknowledgements
Table of Contents
List of Figures
General Background
	Note on Source Material
	Permutations
	Diagrams
	Schubert and Grothendieck Polynomials
		Definitions of Schubert and Grothendieck Polynomials
		Degree Formulas for Grothendieck Polynomials
	Polytopes
		Supports of Polynomials and Newton Polytopes
		M-Convex Sets and Generalized Permutahedra
		Schubert Matroid Polytopes
	Lorentzian Polynomials
Grothendieck Polynomials via Bumpless Pipe Dreams
	Basic Definitions and Construction
	Maximal Degree Bumpless Pipe Dreams
	Supports of Grothendieck Polynomials
	Leading Terms of Homogeneous Components
Grothendieck Polynomials via Bubbling
	Dual Characters of Flagged Weyl Modules
	Bubbling Diagrams and Supports of Grothendieck Polynomials
	Top Degree Components of Grothendieck Polynomials
	M-Convexity of Grothendieck Polynomials