CV
Education
Ph.D. Mathematics, Expected 2025
Institution: Auburn University, Auburn, AL
Tentative Dissertation: Combinatorial Methods in Mathematics Education Research
Advisor: Dr. Melinda Lanius
M.S. Mathematical Sciences, May 2020
Institution: McNeese State University, Lake Charles, LA
Thesis: A Class of Bicyclic Antiautomorphisms of Mendelsohn Triple Systems
Advisor: Dr. Neil Carnes
B.S. Mathematical Sciences, May 2019
Institution: McNeese State University, Lake Charles, LA
Honors: Summa Cum Laude, Honors College
Publications
Peer-Reviewed Journal Articles
Bezdek, A., Gilroy, H., Henderschedt, O., & Lakhani, A. (2023). On Conway’s Brussels Sprouts. Studia Scientiarum Mathematicarum Hungarica: Combinatorics, Geometry, and Topology, 60(1), 76-90.
Peer-Reviewed Conference Proceedings
Gilroy, H. (in press). Predicting the Difficulty of Integration Tasks in Calculus Textbooks via Mapping. In Proceedings of the 15th International Congress on Mathematics Education.
Gilroy, H. (in press). The manifestation of graph-theoretic methods in mathematics education research: A metasummary of intercontinental conference proceedings. In Proceedings of the 26th Annual Conference on Research in Undergraduate Mathematics Education.
Gilroy, H. & Lanius, M. (2023). On motivation and narrative in discipline-specific calculus texts. In T. Dreyfus, A. S. González-Martín, E. Nardi, J. Monaghan & P. W. Thompson (Eds.), The Learning and Teaching of Calculus Across Disciplines – Proceedings of the Second Calculus Conference (pp. 105-108). MatRIC.
Abstracts & Posters
Gilroy, H. (2024). Using path and star decompositions to construct Derivative Computation task sets. The 55th Annual Southeastern International Conference in Combinatorics, Graph Theory, and Computing.
Carnes, N. P. & Gilroy, H. M. (2023). A Class of Bicyclic Antiautomorphisms of Mendelsohn Triple Systems. The 54th Annual Southeastern International Conference on Combinatorics, Graph Theory, and Computing.
Carnes, N. P. & Gilroy, H. M. (2020). A Class of Bicyclic Antiautomorphisms of Mendelsohn Triple Systems. The 51st Annual Southeastern International Conference on Combinatorics, Graph Theory, and Computing.
Preprints
Gilroy, H. (2024). Analysing derivative computation tasks using elementary function trees. Submitted to Proceedings of the 47th Conference of the International Group for the Psychology of Mathematics Education.
Carnes, N. P. & Gilroy, H. M. (2023). A Class of Bicyclic Antiautomorphisms of Mendelsohn Triple Systems. Submitted to Proceedings of the 54th Annual Southeastern International Conference on Combinatorics, Graph Theory, and Computing.
In Preparation
Gilroy, H., Lanius, M., & Grate, S. Suturing the Severed Didactic Tetrahedron: Graph Theoretic Reflection to Foster Alignment in Coordinated Courses. (Anticipated submission to International Journal of Mathematics Education, Science, and Technology)
Gilroy, H. Using path and star decompositions to construct skills-based task sets. (Anticipated submission to Proceedings of the 55th Annual Southeastern International Conference on Combinatorics, Graph Theory, and Computing)
Other Works
Gilroy, H. Solution to Problem #1349. Pi Mu Epsilon: Problems and Solutions: Fall 2018, 11-12.
Gilroy, H. (Mar 2, 2022). Photos from Southland Conference Indoor Championships. In “Wednesday” by Keith Zembower. Zem’s Gems. https://zemsgems.wordpress.com/2022/03/02/wednesday-70/
Gilroy, H. (Feb 28, 2021). Washington Leads Double Qualifier, Gebauer PV to New Heights, McNeese Sports. https://mcneesesports.com/news/2021/2/28/mens-track-and-field-washington-leads-double-qualifier-gebauer-pv-to-new-heights.aspx
Curriculum Development
Calculus I
Analyzed order of course topics using graph theoretic techniques.
Designed course learning objectives structured as a list of questions with required definition, relational, and procedural knowledge to answer each question.
Designed guided lecture notes, scaffolded pre-recitation assignments, and recitation activities for one large lecture section (~250 students) consisting of 8 recitations (~32 students each). Recitation activities incorporated a variety of pedagogical techniques including cross-curricular applications (problems incorporating knowledge from non-math subjects) and differentiated instruction (tailoring problem sets to students’ individual needs).
Incorporated universal design principles (making learning accessible to as many students as possible) by recording lectures (15-35 minutes each) and posting to the course Canvas page (21 lessons total).
Calculus III
Designed and built a working prototype of the R3 Graphing Box, a space-efficient, tactile set of manipulatives intended to help students’ understanding of 3D space and graphing concepts.
Designed and created additional tactile manipulatives: 3D models of conic sections and a helix curve.
Designed interactive digital Geogebra activities for visualizing concepts: Quadric Surfaces, Vectors, Vector Functions, Parametric Curves, Tangent Planes.
Precalculus
Designed guided lecture notes for two Precalculus courses: Precalculus II (Trigonometry) and Precalculus (Algebra & Trigonometry).
Created video recordings of lectures (30-60 minutes each, 26 videos total) publicly available on YouTube intended for use in an online Precalculus II (Trigonometry) course.
Created interactive digital Geogebra “Exploration” activities for specific Precalculus Topics: Trigonometric Functions.
College Algebra
Designed guided lecture notes intended for use in a College Algebra course with a Developmental Math Corequisite course.
Created interactive digital Geogebra “Exploration” activities for specific College Algebra Topics: Parabolas, Circles, Exponential Functions, Polynomials.
Contract Work
AP Precalculus Visiting Fellow, The College Board, 2023
Analyzed AP Precalculus Course Outline and Sample Exam, Provided Feedback to The College Board on Course and Exam Design.
Academic Computing & Learning Center, McNeese State University, 2020-2021
Transitioned the Math & Science Tutoring Center to fully online operations during the COVID-19 Pandemic/Hurricane Recovery. This included designing an appointment scheduling system using Microsoft Bookings and onboarding ~10 tutors to host tutoring appointments in Microsoft Teams.
Teaching Experience
Auburn University, Auburn, AL | Aug 2020 to Present
Graduate Teaching Assistant, Dept. of Mathematics & Statistics
(Spring 2024) Instructor of Record for 1 in-person section of Finite Mathematics and Applications, an undergraduate course averaging 45 students/section, covering the following topics: Graph Theory, Probability, Voting Theory.
(Fall 2023) Recitation Leader for 2 in-person recitation sections of Calculus I, an undergraduate course averaging 32 students/section, covering the following topics: Limits, Derivatives, Applications of Derivatives, Introduction to Integrals, Integration by Substitution.
(Fall 2022) Instructor of Record for 3 in-person sections of College Algebra using a flipped classroom style (students were required to watch short video lectures before coming to class). An undergraduate course averaging 25 students/section, covering the following topics: Exponents, Radicals, Polynomials, Rational Expressions, Linear Equations, Rational & Radical Equations, Functions.
(Fall 2021) Instructor of Record for 1 in-person section of Precalculus: Algebra & Trigonometry, an undergraduate course averaging 30 students per semester, covering the following topics: Functions, Logarithms & Exponentials, Trigonometric Functions and Equations, Right and Oblique Triangle Trigonometry, Vectors, and Complex Numbers.
Graded for online College Algebra (F ‘21), in-person Differential Equations (S ‘22), in-person Business Calculus I (S ‘23), in-person Math for Elementary School Preservice Teachers (S '24).
(Fall/Spring 2020) Tutored ~20 students weekly in the Mathematics Tutoring Center. Courses Tutored: Business Calculus I, Business Calculus II, Calculus II, and Honors Calculus II. In Fall 2020, all operations were fully online through Zoom and transitioned to hybrid Zoom/in-person format in Spring 2020.
Contract Work, Samuel Ginn College of Engineering
(Fall 2023) Instructor for the Calculus I Dine & Derive program. Led 3 weekly 2-hour Final Exam Review Sessions (each hosting 35-40 students), 1 80-minute mock Final Exam, and 1 Mock Final Exam Review Session (which hosted ~70 students). Students also enjoyed free dinner sponsored by the 100+ Women Strong organization and had the opportunity to hear from successful female Engineering alumni.
McNeese State University, Lake Charles, LA | Jan 2022 to Dec 2022
Visiting Lecturer, Dept. of Mathematical Sciences
(Spring 2022, Fall 2022) Instructor of Record for 1 online section of Precalculus II (Trigonometry), an undergraduate course averaging 30 students per semester, covering the following topics: trigonometric functions, equations, and identities, Right and Oblique Triangle Trigonometry, Vectors, Polar Coordinates and Equations, Complex Numbers, and Conic Sections.
(Summer 2022) Instructor of Record for 1 in-person section of Calculus III, an undergraduate course with ~15 students, covering the following topics: 3D Analytic Geometry, Vector Functions, Partial Derivatives and applications, Multiple Integrals and applications, and Spherical & Cylindrical coordinates.
(Summer 2022) Co-coordinated the ALEKS Math Round-up, a six-week program consisting of two three-week sessions, whose intent is to improve college mathematics readiness among freshmen entering without the required standardized test scores for placement into College Algebra.
McNeese State University, Lake Charles, LA | June 2019 to May 2020
Graduate Assistant, Dept. of Mathematical Sciences
(Spring 2020) Instructor of Record for 1 in-person/online hybrid section of Precalculus II (Trigonometry), an undergraduate course averaging 30 students per semester, covering the following topics: trigonometric functions, equations, and identities, Right and Oblique Triangle Trigonometry, Vectors, Polar Coordinates and Equations, Complex Numbers, and Conic Sections. The course transitioned to emergency remote instruction halfway through the semester due to the COVID-19 pandemic.
(Fall 2019) Instructor of Record for 1 in-person section of College Algebra with Developmental Math Corequisite, an undergraduate course averaging 30 students per semester, covering the following topics: equations, inequalities, polynomials and polynomial functions, exponential and logarithmic functions and equations, and systems of equations and inequalities.
(Summer 2019) Teaching Assistant for 1 in-person section of Calculus II, an undergraduate course with ~20 students, covering the following topics: Techniques of Integration, Applications of Integration, Sequences and Series.
Tutored in Academic Computing & Learning Center’s Math and Science Tutoring Center in a variety of math courses: College Algebra, Precalculus, Calculus Sequence, Differential Equations, Linear Algebra, Statistics, and Probability.
McNeese State University, Lake Charles, LA | Aug 2018 to May 2019
Undergraduate Teaching Assistant, Dept. of Mathematical Sciences
(Fall 2018, Spring 2019) Developed and graded homework for 1 in-person section of Calculus I, an undergraduate course averaging 30 students per semester, covering the following topics: limits, definition of derivative, derivative rules, derivative applications, antiderivatives, definite and indefinite integrals, and integration by substitution.
Tutored in Academic Computing & Learning Center’s Math and Science Tutoring Center in a variety of math courses: College Algebra, Precalculus, Calculus Sequence, Differential Equations, Linear Algebra, Statistics, and Probability.
Presentations
Upcoming
Speaker, Predicting the Difficulty of Integration Tasks in Calculus Textbooks via Mapping, 15th International Congress on Mathematics Education, Sydney, Australia.
Speaker, Using path and star decompositions to construct Derivative Computation task sets, 55th Annual Southeastern International Conference on Combinatorics, Graph Theory, and Computing, Boca Raton, Florida.
Poster Presentation, The manifestation of graph-theoretic methods in mathematics education research: A metasummary of intercontinental conference proceedings, 26th Annual Conference on Research in Undergraduate Mathematics Education, Omaha, Nebraska.
2024
Speaker, Using path and star decompositions to design Derivative Computation task sets, Auburn University Dept. of Curriculum & Teaching Math/Math Education Seminar, Auburn, Alabama (remote).
Speaker, Suturing the Severed Didactic Tetrahedron, College of Science & Mathematics Discipline-Based Education Research Seminar, Auburn University, Auburn, Alabama.
Invited Speaker, Using path and star decompositions to design Derivative Computation task sets, Dept. of Mathematical Sciences Seminar, McNeese State University, Lake Charles, Louisiana (remote).
2023
Invited Speaker, On motivation and narrative in discipline-specific calculus texts, Dept. of Mathematical Sciences Seminar, McNeese State University, Lake Charles, Louisiana (remote).
Panelist, From Merely Surviving to Beginning to Thrive: GTAs and First-year Faculty Reflect on a Multifaceted GTA Training Program, MAA Mathfest, Tampa, Florida.
Speaker, On motivation and narrative in discipline-specific calculus texts, Conference on the Learning and Teaching of Calculus Across Disciplines – The Second Calculus Conference, Bergen, Norway.
Speaker, On motivation and narrative in discipline-specific calculus texts, Auburn University Dept. of Curriculum & Teaching Math/Math Education Seminar, Auburn, Alabama (remote).
Speaker, Visual Analysis of Calculus Homework, 47th Annual Southern Regional Faculty & Instructional Development Consortium Conference, Auburn, Alabama.
Speaker, Visual Analysis of Calculus Homework, Auburn University Dept. of Mathematics & Statistics Graduate Student Research Seminar, Auburn, Alabama.
Invited Speaker, On Conway’s Brussels Sprouts, Dept. of Mathematical Sciences Seminar, McNeese State University, Lake Charles, Louisiana (remote).
Speaker, A Class of Bicyclic Antiautomorphisms of Mendelsohn Triple Systems, 54th Annual Southeastern International Conference on Combinatorics, Graph Theory, and Computing, Boca Raton, Florida.
2022
Speaker, A Class of Bicyclic Antiautomorphisms of Mendelsohn Triple Systems, Auburn University Dept. of Mathematics & Statistics Graduate Student Research Seminar, Auburn, Alabama.
Speaker, On Conway’s Brussels Sprouts, Mathematics Club at Auburn University, Auburn, Alabama.
2020
Speaker, A Class of Bicyclic Antiautomorphisms of Mendelsohn Triple Systems, 51st Annual Southeastern International Conference on Combinatorics, Graph Theory, and Computing, Boca Raton, Florida.
Speaker, A Class of Bicyclic Antiautomorphisms of Mendelsohn Triple Systems, Louisiana/Mississippi MAA Section Meeting, New Orleans, Louisiana.
2019
Speaker, Constructing Steiner Triple Systems, MAA Mathfest/Pi Mu Epsilon Conference, Cincinnati, Ohio.
Professional Development
Mathematics Education
Northeast (Online) RUME Conference, remote, 2023
Mathematics
(Upcoming) Mathematics Communication Workshop, London Mathematical Society, remote, 2024
Workshop to Forge the Yellowhammer Network of Women in the Mathematical Sciences, Tuscaloosa, AL, 2024
Discrete and Convex Geometry Summer School, Alfred Rényi Institute of Mathematics, Budapest, Hungary, 2023.
Teaching/Pedagogy
Modern Math Classrooms, Modern Classrooms Project, 2024
Developing a National Geographic Explorer Mindset with Your Learners, National Geographic Society, 2023.
Modern Classrooms Project Essentials, Modern Classrooms Project, 2023.
Level 1 Certified Course, Kami, 2023.
Edpuzzle Intermediate, Edpuzzle, 2023.
Edpuzzle Flipped, Edpuzzle, 2023.
Project-Based Learning, Edpuzzle, 2023.
EASL Classroom Training, Biggio Center at Auburn University, 2022.
Miscellaneous
7 Steps to Writing a Winning Grant, LearnGrantWriting.org, 2024.
Service
Leadership
President, Association for Women in Math at Auburn University, 2022-2024
Founder and Editor of AWM at Auburn’s Monthly Newsletter, which is distributed by email to club members and posted on AU Involve.
Coordinated Annual Teacher Appreciation Cards Project for Women Faculty & Staff, Department of Mathematics & Statistics, Auburn University, 2023
Secretary, Mathematics & Statistics Graduate Student Council, 2023-2024
Director of Programming, Mathematics Club at Auburn University, 2023-2024
President, McNeese Chapter of MAA, 2017-2018
Mentorship
Graduate Student Mentorship Program, Department of Mathematics & Statistics, Auburn University
(2023-2024) Senior Mentor, responsible for mentoring two junior graduate student mentors and two first-year graduate students.
(2022-2023) Mentor, responsible for mentoring one first-year graduate student.
(2021-2022) Mentee, responsible for meeting regularly with assigned senior graduate student mentor.
Outreach
Mathematics
Destination STEM, COSAM Outreach, Auburn University.
(2023) Co-designed and presented an exhibit “Fun with Fractals”. 1000+ Middle and High School students were introduced to fractal geometry through various tactile models of real-life and abstract mathematical examples of self-symmetry.
(2022) Designed and presented an exhibit “The Origami Funhouse”. 800+ Middle and High School students explored geometry through various origami models and learned how to construct the cube root of 2 using origami folds.
EmpowHER, COSAM Outreach, Auburn University.
(Fall 2023) Designed and presented an exhibit “Delightful Designs”. 130+ Middle and High School girls were introduced to Combinatorial Design Theory through tactile interactive models of Mutually Orthogonal Latin squares (Whac-a-MOLS), Steiner Triple Systems (Mary, Mary, quite contrary, How does your garden grow?), and cube decomposition puzzles.
(Spring 2023) Designed and presented an exhibit “The Bridges of Konigsberg: a lesson in revising conjectures”. 130+ Middle School girls were introduced to the problem of the Konigsberg Bridges from Graph Theory through a tactile interactive model. After playing with the model, the students were invited to revise their initial conjectures and discussed the impossibility of a solution.
AMP’d, COSAM Outreach, Auburn University. (2022)
Advised Middle School students in their solutions to mathematical puzzles, Graded students’ solutions to mathematical puzzles. ~150 students competed.
Jr. Mad Scientist Expo, Graduate Women in Science, Auburn University. 200+ students attending annually. (2021)
Presented an activity “The One-Cut Theorem” to Elementary School Students. Students were led in cutting out a star from a piece of paper using only one straight-line cut.
MathCounts, McNeese State University. (2017, 2020)
Graded 150+ Middle School students’ Math Counts competition exams, Assisted in leading the final round of competition by timing students in solving open-ended problems and keeping team scores.
Miscellaneous
Painted Murals, Academic Computing & Learning Center and Dept. of Mathematical Sciences, McNeese State University, 2023
Aided in Post-Disaster Cleanup Efforts, Department of Mathematical Sciences, McNeese State University, 2021
Painted Murals, Math & Science Tutoring Center, Academic Computing & Learning Center, McNeese State University, 2019
Various Volunteer Positions, McNeese Track & Field/Cross Country, 2006-present
Meet Announcer – Responsibilities included ensuring smooth flow of event schedule through verbal announcements including coordinating relay exchange zones, announcing event reminders and results, and commentating races.
Timing/Data Entry Assistant – Entered results from Field Event Record Sheets into Meet Management Software.
Meet Official – Coordinated NCAA Division I High Jump competitions, Started running events.
Cross Country and Track & Field Meets typically hosted ~300 athletes (College), ~1000 athletes/1000 spectators (High School/Middle School)
Fundraising
September 2023 Travel Fellowship, Graduate Student Council, Auburn University.
Stipend worth $400 for travel to the Discrete and Convex Geometry Summer School in Budapest, Hungary.
Awards
2023-2024 Excellence in Teaching Award, Department of Mathematics & Statistics, Auburn University
2023-2024 Excellence in Research Award, Department of Mathematics & Statistics, Auburn University
2021 Research Citation Award, Department of Mathematics & Statistics, Auburn University
For joint work with A. Bezdek, O. Henderschedt, and A. Lakhani titled On Conway’s Brussels Sprouts.
2020 F.L. McDonald Award, Southland Conference
The league's ultimate academic honor for graduating student-athletes. The award is presented annually to one female and one male student-athlete and is selected by the Southland Conference Faculty Athletic Representative Committee.