Currently teaching:
MATH-1040 Introduction to Probability
MATH-1050 Introduction to Mathematical Ideas (more aptly titled Intro to Social Decision-Making)
Current research: How offering “Math Support” can improve learning outcomes for undergraduate students in their first year of university maths courses; classification of universal partial cycles and restricted universal partial cycles; existence or nonexistence of higher diamond density universal partial cycles; generating algorithms for perfect necklaces; looking for a generalized method for drawing “nice” De Bruijn graphs; dabbling with flexagons and origami polyhedra.
Past research: Off-diagonal generalized Schur numbers; the uncertainty principle and applications to sparse data recovery; twisted generalized Weyl algebras; minimal tilings of rectangles with squares; odd-path coverings of graphs.
Generally interested in: Algebraic and geometric applications of graph theory and combinatorics; classification of families of sequences and cycles; combinatorial games; graph drawings; teaching undergraduate mathematics (especially proofs, combinatorics, set theory, graph theory, and developmental courses); diversity/equity/inclusion efforts in mathematics and in higher education as a whole.