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Combinatorial and Geometric Group Theory, Combinatorial Game Theory,AbstractAlgebra, Topology, Cryptography, Game Theory, Graph Theory, Scholarship of Teaching andLearning, Inquiry-Based Learning Pedagogies.

• Math 111, Calculus and Analytic Geometry I
• Math 112, Calculus and Analytic Geometry II
• Math 120, Applied Integral Calculus
• Math 215, Transition to Advanced Mathematics
• Math 299, Special Topics: Intro to Complex Variables
• Math 330, Topology
• Math 332, Real Analysis
• Math 334, Abstract Algebra
• Math 335, Abstract Algebra II (Geometric Group Theory)
• Math 400, Tutorials in Geometric Group Theory, Lie Theory, and Modern Algebra for MathEducation
• Math 451 & 452, Independent Study Theses

• The Planar Rook Algebra (Henry Potts-Rubin, Mathematics, 2020)
• Watching Sunsets in Exoplanet Skies (Hwan Bae, Mathematics and Physics, 2019)
• Exploring Topics of the Art Gallery Problem (Megan Voice, Mathematics, 2019)
• A Behavioral Approach to CAPM (Ethan Myers, Math and Business Economics, 2018)
• Analyzing and Solving the Nurse Scheduling Problem (Nichoals Hagopian-Zirkel, Math and Computer Science, 2018)
• Connecting Five Stones: Artificial Intelligence Implementation for Go-moku in Unity (Jianqiu Bai, Math and Computer Science, 2018)
• Logic –> Proof –> REST (Maxwell Taylor, Math and Computer Science, 2018)
• Consumer Decision in the Digital Audio Market: Using Behavioral Game Theory (Max Mindlin, 2017)
• Recession Analysis: Understanding Rather than Assuming (Jonathan Ledesma Chavez, 2017)
• Building a Course Recommender System for ºÚÁÏÀÏ˾»ú (Nan Jiang, Math and Computer Science, 2017)
• Conservation of Dynamic Modularity in Biological Network Modeling: Modular Boolean Model of Cell Cycle Regulation in Saccharomyces cerevisiae (Caitlin Strassburg, 2023, Biochemistry & Molecular Biology & Mathematics) /2023/04/12/caitlin-strassburg/
• Object Detection and Application in Autonomous Vehicle (Minh Duc Dao, 2023, Computer Science & Mathematics) /2023/04/14/minh-duc-dao/
• Knots, Nots, and Loops (Leah Willow, 2022, Mathematics) /2022/04/26/leah-wilcox/
• Elementary Geometry in Non-Elementary Spaces: Counting the Moduli Space of Pentagons on Finite Projective Planes (Maxwell Hosler, 2022, Mathematics) /2022/04/26/maxwell-hosler/

• Gates, Zachary and Kelvey, Robert. “Relator games on groups”.Combinatorial Game Theory: ASpecial Collection in Honor of Elwyn Berlekamp, John H. Conway and Richard K. Guy, edited byRichard J. Nowakowski, Bruce M. Landman, Florian Luca, Melvyn B. Nathanson, Jaroslav NeÅ¡etÅ™il andAaron Robertson, Berlin, Boston: De Gruyter, 2022, pp. 171-200.
• Kelvey, Kelvey, Robert.Properties of groups acting on Twin-Trees and Chabauty space.2016. Bowling Green State University, Doctoral dissertation.OhioLINK Electronic Theses and Dissertations Center.
• Robert Kelvey, Sara Miner More, Pavel Naumov, and Benjamin Sapp. Independence andfunctional dependence relations on secrets. InProceedings of the Twelfth InternationalConference on Principles of Knowledge Representation and Reasoning,KR™10, page 528-533 AAAI Press, 2010.

Graduate Excellence in Teaching Award, Bowling Green State University, 2015.