Select Publications and Other Work

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Published work

An Inquiry-Based Introduction to Linear Algebra and Applications, open access linear algebra textbook, web version, joint with Steve Schlicker, 2023. (A newer version of the 2019 textbook listed below. Source files are available on GitHub.)
Edge Covers of Caterpillars, Cycles with Pendants, and Spider Graphs, joint with Evan Henning, in Journal of Integer Sequences, 2023. (Open access)
Analysis of Calculus Textbook Problems via Bloom's Taxonomy, joint with Gizem Karaali and Lerna Pehlivan, in PRIMUS: Problems, Resources, and Issues in Mathematics Undergraduate Studies, 2023. (Not open access)
A Case for Ethics in the Mathematics Major Curriculum, in Journal of Humanistic Mathematics, Vol. 12, No. 2, 2022. (Part of the special issue on Ethics in Mathematics) (Open access)
An Amends Letter From a Recovering Mean Professor, in Journal of Humanistic Mathematics, Vol. 12, No. 1, 2022. (Open access)
Learning Graph Theory by Designing Games, joint with David Clark, book chapter in Teaching Mathematics Through Games, AMS/MAA Classroom Resource Materials, 2021.
Advising Lessons Learned and Analyzed through a Physician-Patient Relationship Lens, in MAA Focus, Vol. 40, No. 6, 2020. (Open access)
Linear Algebra and Applications: An Inquiry-Based Approach, open access Linear Algebra textbook, joint with Steve Schlicker, 2019.(Source available; contact me if interested. A newer version is available; accessible PDF and HTML versions are in the works.)
Challenges in Promoting Undergraduate Research in Mathematical Sciences, joint with Yuliya Babenko, Craig Jackson, Zsuzsanna Szaniszlo, in Proceedings of the Trends in Undergraduate Research in Mathematical Sciences conference, published as a special issue of Involve: A mathematics journal, Vol. 7, No. 3, 2014. (Open access)
Using Problem-based Pre-class Activities to Prepare Students for In-class Learning, in PRIMUS: Problems, Resources, and Issues in Mathematics Undergraduate Studies, Vol. 24, No. 2, 2014. (Not open access)
Rook Polynomials in Three and Higher Dimensions, joint with Nicholas Krzywonos, published version in Involve: a journal of mathematics, Vol. 6 No. 1, 2013.

Unpublished work

Another Recurrence Relations for Genocchi Numbers, joint with Nicholas Krzywonos, unpublished manuscript, 2016.
Rook Number Interpretations of Generalized Central Factorial and Genocchi Numbers, joint with Rachel Moger-Reischer and Ruth Swift, unpublished manuscript, 2012.
Factorizations of Infinitely Differentiable Functions and Smooth Vectors, Translation of the paper 'Factorisations de fonctions et de vecteurs indefiniment differentiable' by J. Dixmier and P. Malliavin.
Residues of Eisenstein Series via Maass-Selberg Relations, part of my Ph.D. thesis, 2011.
Meromorphic Continuation of Minimal Parabolic Eisenstein Series in GLn and Spn, proof of meromorphic continuation of minimal parabolic Eisenstein series for GLn and Spn based on Langlands' proof using modern language, 2011.
Adelic Approach to Dirichlet L-functions, my undergraduate senior thesis, 1997.