Research

I love interesting mathematics in many areas, but my research focus is combinatorics. A common theme is applying algebraic or analytic methods to combinatorial problems, especially where extremal or balanced structures are involved.

Some publications:

Balancing permuted copies of multigraphs and integer matrices (with C. del Valle)

Number cubes with consecutive line sums (with J. Niezen)

Combinatorial properties of the enhanced principal rank characteristic sequence over finite fields (with X. Martínez-Rivera)

On the algebraic combinatorics of injections and its applications to injection codes (with F. Ihringer and N. Lindzey)

other articles on MathReviews (library credentials required)

my thesis, sort of; in this, a standalone chapter was deleted and some updates on the main theme were added

Code/data files:

Matrix balancing calculator

Triangle decomposition game (android): triangle-wiper.apk

Possibly complete list of facets of the cone of 9-vertex weighted graphs generated by triangles: facets-tri9.txt

Small latin square intersections: int-ls-data.gz

Destructing tight designs with small 'beta': tightsearch.c

Conferences/Workshops:

I am a co-organizer of Stinson 66, a conference on mathematics influenced by Doug Stinson.