HELLO! I’M JOSHUA MILLER
Georgia State University
25 Park Place
Summer 2023 Office Hours:
Current Courses: College Algebra, Linear Algebra
Curriculum Vitae: Updated 02/2023
August 2016- July 2021
PH. D MATHEMATICS, KANSAS STATE UNIVERSITY
Dissertation: Generalized Pak-Stanley labeling for Multigraphical Hyperplane Arrangements in n=3
August 2016 - December 2019
M.S. MATHEMATICS, KANSAS STATE UNIVERSITY
Research included work in multigraphical hyperplane arrangements and their Pak-Stanley labelings, and continued work on Whitney duals for graded posets.
August 2014- May 2016
M.S. MATHEMATICS, SAM HOUSTON STATE UNIVERSITY
Research included finding ways to explicitly calculate the invariant factors of the sandpile group for the class of graphs known as thick cycle graphs.
August 2012- May 2014
B.S. MATHEMATICS, SAM HOUSTON STATE UNIVERSITY
Research included creating models for ventricular septal defects in newborns.
Areas of Interest
GRAPH THEORY & COMBINATORICS
Current areas of focus include multigraphical hyperplane arrangements and their relation with Pak-Stanley labelings, the Whitney duals of graded posets, and applications of the Tutte polynomial or polynomials of a similar nature.
Current areas of interests are sandpile for different families of graphs, as well as chromatic symmetric function, and relations between the Laplacian matrix of a graph G and graphical properties.
Current areas of interest are geared towards combinatorial number theory problems like Singmaster's conjecture and Frobenius numbers for n larger than three.