Hunter Rehm
Graduate Student and Teaching Assistant
University of Vermont (UVM)
Deparment of Mathematics and Statistics

Name, Email, Office
Hunter Rehm
hunter.rehm@uvm.edu
Innovation Hall E324
CV/Resume

About
Doctoral student in pure mathematics looking for an internship to expand my experience with applications.
Graduate Advisor: Puck Rombach
Undergraduate advisor: Nathan Warnberg

Education
University of WisconsinLa Crosse, Bachelors of Science
Major: Mathematics
Minor: Computer Science
GPA: 3.55
University of Vermont, PhD
Field of Study: Mathematics
Funding: Teaching Assistantship
GPA: 3.95 
Publications

Presentations

Antivan der Waerden numbers on Graphs Products (April 2019)
Discrete Math Days of the NorthEast, Amherst, MA
Poster Presentation 
Antivan der Waerden numbers on Graphs Products (March 2019)
50th Southeastern International Conference on Combinatorics, Graph Theory & Computing
Oral Presentation, 15 minutes 
Rainbows in Graphs (January 2018)
Joint Mathematics Meeting (JMM) 2018, San Diego, CA
Oral Presentation, 10 minutes 
Rainbows in Graphs (November 2017)
Seven Rivers Symposium 2018
Oral Presentation, 20 minutes 
Rainbows in Graphs (October 2017)
UWL Math and Stats Club
Oral Presentation, 1 hour 
Antivan der Waerden numbers on Graphs (June 2017)
Deans Distinguished Fellowship Meeting
Oral Presentation, 20 minutes 
Antivan der Waerden numbers on an m x n Grid Graphs (April 2017)
Research at the Rotunda Event in Madison, Wisconsin
Poster Presentation 
Antivan der Waerden numbers on an m x n Grid Graphs (April 2017)
National Conferences on Undergraduate Research 2017, Memphis, TN
Oral Presentation, 15 minutes 
A Bayesian Approach to Predicting the Outcome of Endovenous Laser Ablation (January 2017)
Joint Mathematics Meeting (JMM) 2017, Atlanta, GA
Oral Presentation, 10 minutes 
A Bayesian Approach to Predicting the Outcome of Endovenous Laser Ablation (October 2016)
The UWL Mathematics Colloquium
Oral Presentation, 30 minutes

Videos
An Introduction to Ramsey Theory
What is a Graph?
Adjacency Matrix
Incidence Matrix
Coin Flipping Paradox
Breadth first search algorithm

Antivan der Waerden numbers of graph products (pdf)
by Hunter Rehm, Alex Shulte, and Nathan Warnberg
In this paper, antivan der Waerden numbers on Cartesian products of graphs are investigated and a conjecture made by Schulte, et al. is answered. In particular, the antivan der Waerden number of the Cartesian product of two graphs has an upper bound of four. This result is then used to determine the antivan der Waerden number for any Cartesian product of two paths. 
Rainbow numbers of [n] for Σx_{i} = x_{k} (pdf)
by K. Fallon, C. Giles, H. Rehm, S. Wagner, and N. Warnberg
Consider the set {1, 2,..., n} = [n] and an equation eq. The rainbow number of [n] for eq, denoted rb([n], eq), is the smallest number of colors such that for every exact rb([n], eq)coloring of [n], there exists a solution to eq with every member of the solution set assigned a distinct color. This paper focuses on linear equations and, in particular, establishes the rainbow number for the equations Σx_{i} = x_{k} for k ≥ 3.

2018 Fall Semester UVM: College Algebra
Sets, relations, functions with particular attention to properties of algebraic, exponential, logarithmic functions, their graphs and applications in preparation for MATH 019. May not be taken for credit concurrently with, or following receipt of, credit for any mathematics course numbered MATH 019 or above. Pre/corequisites: Two years of secondary school algebra; one year of secondary school geometry. 
2019 Spring Semester UVM: College Algebra
Sets, relations, functions with particular attention to properties of algebraic, exponential, logarithmic functions, their graphs and applications in preparation for MATH 019. May not be taken for credit concurrently with, or following receipt of, credit for any mathematics course numbered MATH 019 or above. Pre/corequisites: Two years of secondary school algebra; one year of secondary school geometry. 
2019 Fall Semester UVM: Fundamentals of Calculus
Introduction to limits and differential calculus with a wide variety of applications. Students interested in intensive use of mathematics should take MATH 021. Credit not given for more than one of the courses MATH 019, MATH 021 unless followed by MATH 022. See MATH 023. Prerequisite: MATH 009 or MATH 010, or sufficiently strong background in secondary school algebra and geometry. 
2020 Spring Semester UVM: Fundamentals of Calculus
Introduction to limits and differential calculus with a wide variety of applications. Students interested in intensive use of mathematics should take MATH 021. Credit not given for more than one of the courses MATH 019, MATH 021 unless followed by MATH 022. See MATH 023. Prerequisite: MATH 009 or MATH 010, or sufficiently strong background in secondary school algebra and geometry.