HELLO! I’M JOSHUA MILLER

Visiting Lecturer
Georgia State University

25 Park Place

Office:  1427

Email: jmiller208@gsu.edu

Fall 2022 Office Hours: TBD,

Current Courses: Calculus II, Honors Calculus II, Discrete Math

Curriculum Vitae: Updated 05/2022

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ACADEMICS

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.

 

RESEARCH

Areas of Interest

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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.

ALGEBRA

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 and graphical properties.

NUMBER THEORY

Current areas of interest are geared towards combinatorial number theory problems like Singmaster's conjecture and Frobenius numbers for n larger than three.