CV

Zachary Parker

z_parker@uncg.edu

https://sites.google.com/view/zacharyparker/welcome

Education

University of North Carolina at Greensboro

Greensboro, NC

Ph.D. in Computational Mathematics

anticipated May 2027

·    Thesis: “Computing Cohomology of Congruence Subgroups of GL_3(ZZ[i])”

·      Advisor: Dan Yasaki

University of Vermont

Burlington, VT

M.S. in Mathematical Sciences

May 2019

Northern Arizona University

Flagstaff, AZ

M.S. in Mathematics

August 2017

·      Thesis: “On the Maximum Cardinality of Braid Classes”

·      Advisor: Dana Ernst

Northern Arizona University

Flagstaff, AZ

B.S. in Mathematics

May 2015

Employment

University of North Carolina at Greensboro

Graduate Teaching Assistant

Fall 2023 – Present

BASIS Prescott

Subject Expert Teacher

Fall 2020 – Spring 2022

Northern Arizona University

Instructor

Fall 2019 – Summer 2020

University of Vermont

Graduate Teaching Assistant

Fall 2017 – Spring 2019

Northern Arizona University

Graduate Teaching Assistant

Fall 2015 – Spring 2017

Dorrance Scholarship Program

Instructor

Summer 2015, 2016, 2019

Teaching Experience

University of North Carolina at Greensboro

·      MAT 112 – Contemporary Topics in Math (seven sections total)

·      MAT 118 – Algebra with Business Applications (four sections total)

·      MAT 115 – College Algebra (two sections total)

·      MAT 296 – Calculus B (one section)

BASIS Prescott

·      AP Calculus AB (two sections total)

·      AP Calculus BC (two sections total)

·      History of Mathematics (two sections total)

·      Elementary Number Theory (one section)

Northern Arizona University

·      MAT 108 – College Algebra (two sections total)

·      MAT 121 – Calculus for Business (three sections total)

·      MAT 125 – Precalculus (two sections total)

·      MAT 136 – Calculus 1 (one section)

·      MAT 137 – Calculus 2 (two sections total)

·      MAT 238 – Calculus 3 (one section)

University of Vermont

·      MATH 1012 – College Algebra (two sections total)

Dorrance Scholarship Program

·      Prealgebra (one section)

·      College Algebra (one section)

·      Calculus (one section)

Other Teaching Experience

MHC (now STEM Learning Center) Tutor

·      Covers all 100 and 200 level mathematics courses at UNCG

LMC Tutor, NAU

·      Covers MAT 100 (prealgebra), MAT 108 (college algebra), MAT 114 (quantitative reasoning), and MAT 125 (precalculus) at NAU

Mentorship

·      Undergraduate honors project on modular forms, Fall 2026 (in progress)

·      Independent study on elementary number theory, Summer 2026

·      Independent study on p-adic numbers, Fall 2025

Research Interests

Galois representations, cohomology of arithmetic groups, modular/automorphic forms, computational number theory, arithmetic geometry

Publications and Preprints

1.           Modular Forms Over Gaussian Integers (with Kalani Thalagoda and Dan Yasaki), in preparation

2. Computing Cohomology of Congruence Subgroups of GL_3(ZZ[i]), in preparation

3.           Ternary Perfect Forms Over Imaginary Quadratic Fields (with Dan Yasaki), submitted

https://arxiv.org/abs/2609.31479

Talks

Cohomology of Arithmetic Groups and Reciprocity

                  Southeastern Regional Meeting on Numbers, High Point University

April 2026

Cohomology of  with Level

                  Palmetto Area Number Theory Series (PANTS) XL, Clemson University

December 2025

Cohomology of  with Level

                  Triangle Area Graduate Mathematics Conference, North Carolina State University

November 2025

Cohomology of  with Level

                  Graduate Research Presentations, UNCG

September 2025

Computations on Perfect Ternary Forms

                  Regional Mathematics and Statistics Conference, UNCG

November 2024

Computations on Perfect Ternary Forms

                  Graduate Research Presentations, UNCG

October 2024

Some Computations on Perfect Ternary Forms

                  PANTS XXXVIII, Wake Forest University

September 2024

Some Computations on Perfect Ternary Forms

                  Algebra, Combinatorics, Topology, Geometry, and Number Theory (ANTCOG), UNCG

September 2024

An Introduction to Modular Forms

                  ANTCOG, UNCG

November 2023

Famous Mathematical Mishaps

                  Arizona Mathematical Association of Two Year Colleges Fall Conference, NAU

October 2019

Proving a Claim: Mathematicians Who Were Too Persuasive

                  Friday Afternoon Undergraduate Mathematics Seminar (FAMUS), NAU

September 2019

Galois Groups Acting on Ideal Class Groups

                  Quebec-Vermont Number Theory Seminar, UVM

May 2019

On the Maximum Cardinality of Braid Classes

                  Mathematics and Statistics Department Colloquium, NAU

March 2018

A Special Case of Fermat’s Last Theorem: An Introduction to Algebraic Number Theory

                  FAMUS, NAU

March 2018

Awards and Scholarships

·      Helen Barton Scholarship (2024-25, 2025-26, 2026-27)

·      UNCG Graduate Assistant Teaching Award (2025-2026)

·      Munroe Student Research Fund (2025-26)

·      UNCG Summer Research Assistantship (2024, 2025, 2026)

·      Phi Kappa Phi Award (2015)

Service

·      Contest Committee (NAU)