Education

Degree:  Ph.D. in Mathematics, from Iowa State University (2024)

Primary advisor:  Steve Butler

Current position:  Mathematics Teaching Assistant at Iowa State University

Prior education:  M.S. in Mathematics, from University of South Dakota (2019); 
B.S. in Mathematics, from South Dakota State University (2015)

(also studied at South Dakota State University, 2015–2016, and Texas A&M University, 2016–2017)

Research Interests

Currently working on:  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 interests:  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.