Currently teaching:
MATH-1040 Introduction to Probability (MWF, 8:50–9:40, Carver 305)
MATH-1050 Introduction to Mathematical Ideas (MWF, 1:10–2:00, Carver 305)
Currently interested in: Existence/nonexistence of higher diamond density universal partial cycles; generating methods for perfect necklaces; classification of universal partial cycles and restricted universal partial cycles; finding a generalized method for drawing De Bruijn graphs “nicely”; fiddling with hexaflexagons and constructing 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.
Future areas of interest: 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.