Ryan Kirk

kirkr19@ecu.edu

Department of Mathematics \(\bullet\) Office: Austin 228

East Carolina University \(\bullet\) Greenville, NC 27858

Education

University of Maryland, College Park
PhD, Mathematics 2012-2019
Advisor: Christian Zickert
Thesis: “Positive tuples of flags, piecewise circular wavefronts,
              and the 3-dimensional Einstein universe"
MA, Mathematics May 2016
Scholarly Paper: “Volume invariant of \(\text{SL}(n,\mathbb{C})\)-representations of \(3\)-manifolds"

University of North Carolina, Chapel Hill 2008-2012
BSc, Mathematics with Honors and Highest Distinction (summa cum laude)
Honors Thesis: “Examination of the product field of values"

Employment

East Carolina University August 2019-present
Teaching Associate Professor 2025 - present
Teaching Assistant Professor 2019 - 2025

Research Interests

Geometric structures and representation varieties of surface and 3-manifold groups  

Papers and Preprints

“Piecewise circular curves and positivity", with Jean-Philippe Burelle. Annales de l’Institut Fourier, Online first, 44 p. 

“Continuity properties of vectors realizing points in the classical field of values", with Daniel Corey, Charles Johnson, Brian Lins, and Ilya Spitkovsky. Linear Multilinear Algebra 61 (2013), no. 10, 1329–1338. 

“The product field of values", with Daniel Corey, Charles Johnson, Brian Lins, and Ilya Spitkovsky. Linear Algebra Appl. 438 (2013), no. 5, 2155–2173. 

Awards and Scholarships

ECU Excels Success Partner 2026
ECU Connect Super Pirate 2025
Honored Instructor, ECU Fall ’20
Graduate Research Assistantship, UMD Spring ’17, Spring ’19
Summer Teaching Buyout Award, UMD Summer ’16
Aziz-Osborn Gold Medal in Teaching Excellence Award, UMD 2013 - 2014
Dean’s Fellowship, UMD 2012 - 2014
Alfred T. Brauer Prize in Mathematics, UNC Chapel Hill Spring ’12

Talks and
Posters Given


Coadjoint orbits Spring ’17
A preliminary look at \(\text{SL}(n,\mathbb{C})\)-representations of \(3\)-manifolds Fall ’15
Shape coordinates for \(\text{PSL}(2,\mathbb{C})\)-representations of 3-manifolds Fall ’15


Hyperbolic \(3\)-manifolds and scissors congruence Fall ’17, Spring ’16


The product field of values (Poster) Spring ’12

Teaching Experience

East Carolina University 2019 - present
Greenville, NC

University of Maryland, College Park 2012 - 2019
College Park, MD

Sole Contact Instructor:

Teaching Assistant:

Grader:

University of North Carolina, Chapel Hill 2008 - 2012
Chapel Hill, NC

Grader:

Service
and
Outreach

Service to the Department (ECU)
College Algebra Redesign Committee 2026
Panel Member for Advancement in Title Workshop Fall 2025
Learning Assistant Mentor Fall 2025
Mathematics Undergraduate Curriculum Committee 2023 - present
Zero-Cost Textbook Ad-Hoc Subcommittee of UCC 2023-2024
Calculus Textbook Committee 2023 - present
Curriculog Advisory Committee 2023
Director of College Algebra Search Committee 2023, 2025
Visiting Faculty Search Committee 2023
University Undergraduate Curriculum Committee 2022 - 2025
Peer Reviewer Fall ’22, ’24, ’25, Spring ’23
Diversity, Equity, and Inclusion Ad-Hoc Subcommittee of UCC 2022
University Committee on Academic Integrity 2022 - 2025
Organizer of Math New Faculty Mentor Program 2022 - present
New Faculty Mentor ’22 - ’23, ’23 - ’24, ’24 - ’25
Chair of Fixed-Term Faculty Search Committee 2022
Academic Advising of Math Majors 2022 - present
Fixed-Term Faculty Search Committee ’21, ’22, ’23, ’24, ’25
Director of NCEMPT Search Committee 2021
Reviewer of Honors College Applications ’20, ’21, ’22, ’23
Ad-Hoc Subcommittee of Personnel Committee 2020
Learning Assistant Supervisor Fall 2020

Directed Reading Program, University of Maryland
Graduate Student Mentor
Daniel Sun, Cayley’s Theorem: An Invitation to Group Theory Fall ’13
Hasan Touma, The Mathematics of the Rubik’s Cube Spring ’14
Victor Gonzalez, Hyperbolic Geometry Spring ’16
Victor Gonzalez, Fractals and Möbius Transformations Summer ’16
Ajeet Gary, Applications of Differential Forms Fall ’17

Service to the Department (UMD)
Graduate Student Representative 2016 - 2018
Organizer of the Student Geometry and Topolgy Seminar 2017 - 2018
Organizer and Judge of the Spotlight Talks in Graduate Research 2017, 2018
Graduate Student Council Representative 2016 - 2017

Service in the Community
Community Outreach on Behalf of the Mathematics Department, Maryland Day 2015, 2017, and 2018

Faculty
Training

“Cornerstone Distance Education Training Module" Spring 2026
“Introduction to Quality Matters (QM)" Spring 2025
“Master Canvas Pages" Spring 2025
“How to Speak" - MIT OpenCourseWare Fall 2024
“Inclusive Teaching in STEM Panel" Spring 2024
“Diversity, Inclusion, and Belonging" Spring 2024
“ECU Teaching Toolkit: Universal Design for Online Learning" Spring 2024
“How Bias Impacts Belonging" Spring 2023
“Teaching with Video" Spring 2023
“Keep it Short! Using Short Topical Videos to Engage Students" Spring 2022
Safe Zone Training Fall 2019

Workshops and
Conferences
Attended

Curve 2015, Institut de Mathématiques de Jussieu, Paris, France, June 22-26, 2015  

Geometries, surfaces and representations of fundamental groups, University of Maryland, June 22-24 2016  

GEAR Junior Retreat, Stanford University, July 31-August 4 2017  

Ventotene International Workshops on Moduli Spaces, Ventotene, Italy,
September 11-16 2017  

Virginia Topology Conference 2017: Hyperbolic 3-Manifolds and Beyond,
University of Virginia, November 10-12 2017

Invited Researcher

Institut des Hautes Études Scientifiques, Bures-sur-Yvette, France,
October 23 - November 5 2017

Other
Experience

Tutor, University of Maryland Math Tutoring Room Fall ’12 - Summer ’19
REU in Matrix Analysis, The College of William and Mary Summer ’11
Tutor, University of North Carolina Math Help Center Spring ’09

Memberships

American Mathematical Society

References

Christian Zickert, University of Maryland, College Park
(301) 405-5072, zickert@math.umd.edu
William Schildknecht, University of Maryland, College Park
(301) 405-5055, wrs@math.umd.edu
Lawrence Washington, University of Maryland, College Park
(301) 405-5116, lcw@math.umd.edu