My name is Noah Hughes and I am an Assistant Professor of mathematics at Winston-Salem State University. You can download a pdf copy of my cv here and reach me by email at: hughesna[at]wssu[dot]edu
I work in mathematical logic and more specifically computability theory. A nice intuivitve description of mathematical logic (credit to Paul Shafer) is that it is the "mathematics of mathematics" in much the way calculus is the mathematics of change and geometry is the mathematics of shape. Using appropriate formilizations we take the theorems, constructions, and arguments in mathematics as our objects of study. I am particularly interested in understanding the foundational connections between mathemtical principles and the fundamental ingredients needed to prove them. Computability theory provides the robust framework needed to carry out this analysis.
I am originally from Linville, North Carolina, a rural town in the Appalachian Mountains. Here I developed a love of the outdoors, but outside of that I love good books, playing the drums, and learning about nearly anything.
The following picture was taken by Madelyn Hughes during an October snow in Hartford, CT.
Below you will find my scholarly work. Please note that all linked titles direct to unpublished drafts.
Reverse mathematics and marriage problems with finitely many solutions
with Jeffry L. Hirst.
Archive for Mathematical Logic, 55(7) (2016) 1015--1024.
Available online (DOI) 10.1007/s00153-016-0509-4 for subscribers.
This article can be viewed through the Springer Nature Content Sharing Intiative.
Reverse mathematics and marriage problems with unique solutions with Jeffry L. Hirst.
Archive for Mathematical Logic 54 (2015) 49-57.
Available online (DOI) 10.1007/s00153-014-0401-z for subscribers.
On the minuscule representation of type Bn. with William J. Cook.
Inolve 11 (2018), No. 5, 721-733.
Available online (DOI) 10.2140/involve.2018.11.721 for subscribers.
Applications of Computability Theory to Infinitary Combinatorics
Ph.D. thesis, University of Connecticut, 2021.
Reverse mathematics: Calibrating logical strength in mathematics
Honors undergraduate thesis, Appalachian State University, 2014.
Listed below are all presentations I have given at scholarly meetings in chronological order.
Department of Mathematical Sciences Colloquium Series
Appalachian State University, December (slides)
IMS Graduate Summer School in Logic
National University of Singapore, July (slides)
AMS Spring Eastern Sectional Meeting, Special Session on Computability Theory
University of Connecticut, April
New England Recursion and Definability Seminar
Springfield College, November (slides)
SIGMA Seminar
University of Connecticut, March (slides)
Association for Symbolic Logic 2016 North American Annual Meeting
University of Connecticut, May (slides)
Mathematical Sciences Colloquium Series
Appalachian State University, March (slides)
MAA-SE Spring Meeting
UNC Wilmington, March
S-STEM Seminar
Appalachian State University, January
Joint Mathematics Meetings
San Antonio TX, January
UNCG Regional Mathematics and Statistics Conference
UNC Greensboro, November
Award: Outstanding Graduate Student Presentation. (slides)
National Conference on Undergraduate Research
University of Kentucky, April (slides)
Mathematical Sciences Colloquium Series
Appalachian State University, March (slides)
Logic seminar
Ghent University, March
North Carolina Honors Association Conference
Appalachian State University, October (slides)
Mathematical Sciences Colloquium Series
Appalachian State University, April
MAA-SE Spring Meeting
Winthrop University, March
UNCG Regional Mathematics and Statistics Conference
UNC Greensboro, November
North Carolina Council of Teachers of Mathematics Annual Meeting
with Eric Marland, Gregory S. Rhoads and Faith Miller
Greensboro NC, October
I am currently teaching:
Algebraic Structures II
Elementary Statistics
Linear Algebra
I have previously taught the following courses.
At Winston-Salem State University
Algebraic Structures I, Fall 2022
Elementary Statistics, Fall 2022, Fall 2021, Summer 2022
Linear Algebra, Spring 2021
At University of Connecticut:
Applied Linear Algebra, Spring 2019, Fall 2019, Summer 2020
Calculus I, BRIDGE 2018, Fall 2020; (You can learn more about BRIDGE here.)
Calculus II, Spring 2016, Fall 2016
Elementary Differential Equations, Spring 2017, Spring 2018
Multivariable Calculus, Fall 2017, Fall 2018
Problem Solving, Fall 2015
At Appalachian State University
College Algebra with Applications, Fall 2014, Spring 2015