Education
PhD in Applied Mathematics, University of Arizona
BA in Mathematics & Physics, Willamette University
Research
Research interests include Algebraic Combinatorics, Algebraic Voting Theory, Graph Theory, Cryptography, Math & Art
Courses
Courses taught include Mathematics of Redistricting, Cryptography, Abstract Algebra I & II, History of Mathematics, Number Theory, Differential Equations, Linear Algebra, Foundations of Advanced Mathematics, Multivariable Calculus, Calculus I & II, Modeling with Calculus, and Statistics.
Books
Explorations in Number Theory: Commuting through the Numberverse, C. McLeman. E. McNicholas, and C. Starr, Springer 2022
Journal Articles and Book Chapters
"Homomesies on permutations: An analysis of maps and statistics in the FindStat database" (with J. Elder, N. Lafrenière, J. Striker, and A. Welch), Mathematics of
Computation (2023).
Contributing Artist, Association for Women in Mathematics *Notable Women in Math EvenQuads* playing cards, Deck 2, 2022
"Algebraic Voting Theory & Representations of $S_m\wr S_n$" (with H. Barcelo, M. Bernstein, S. Bockting-Conrad, K. Nyman, and S. Viel), Advances in Applied Mathematics, Volume 120, September 2020, 102077
"Base Size Sets and Determining Sets" (with J. Laison and N. Seaders), Discrete Mathematics, Vol. 342(11), (November 2019) pp. 2994-2999
"Unipancyclic Matroids" (with W. Agnew-Svoboda*, A. Huszar*, J. Schreiner-McGraw*, C. Starr, and C. Yap*), Discrete Mathematics, Vol. 342(8), (August 2019) pp. 2254-2269
"Matroids" (with C. Starr and N. Neudauer), chapter in A Primer for Undergraduate Research : From Groups and Tiles to Frames and Vaccines, Foundations for Undergraduate Research in Mathematics, Editors : C. Lee, V. Peterson, and A. Wootton, Birkhäuser (2018)
"Group Examinations in Introduction-to-Proof Courses" (with I. Johnson), chapter in Beyond Lecture: Techniques to Improve Student Proof-Writing Across the Curriculum, MAA Press, Editors: R. Schwell, A. Steurer, J. Vasquez (2016)
"Graph Invertibility" (with C. McLeman). Graphs and Combinatorics Vol 30(4), (2014) pp. 977-1002
"Eigenvalue Statistics of One-Face Maps" Congressus Numerantium, Vol. 207-211, (2011)
"Spectra of Coronae" (with C. McLeman). Linear Algebra and Its Applications Vol 435(5) (2011) pp. 998-1007
GrantsNational Science Foundation S-STEM Grant, $646,986 PI A Fisher, co-PIs D. Craig, S. Kirk, B. Row Lazzarini, E. McNicholas, G. Moon, and R. Dewey Thortsett, 2018-2022
National Science Foundation REU Grant #1460982, $267,000 PI J. Laison & E. McNicholas, 2015-2018