Research:
Publications:
(with L.
Traldi) "Tied Dice".
Journal of Combinatorial Mathematics and Combinatorial Computing,
68 (2009) 85-96.
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Entries in the Online Encyclopedia of Integer Sequences
"An Integer Sequence Motivated by Generalized Quadrangles". Journal of Integer Sequences, 18 (2015) no. 7, Article 15.7.8, 13 pp.
Article is freely available to anyone directly from the journal.
(with W.H.T. Wong) "Free Flow on a Torus." Math Horizons, 23 (2016), no. 3, 2.
(with F. Lazebnik) "On the uniqueness of some girth eight algebraically defined graphs." Discrete Applied Mathematics 206 (2016), 188-194.
Directly from the journal
(with W.H.T. Wong) "Paired many-to-many disjoint path covers of hypertori.'' Discrete Applied Mathematics 218 (2017), 14-20.
Directly from the journal
(with F. Lazebnik and J. Williford) "On the uniqueness of some girth eight algebraically defined graphs, Part II." Discrete Applied Mathematics 254 (2019) 161-170.
Directly from the journal
(with S. Molitoris Miller and J. Austin) "The Settlers of Catanbinatorics." Mathematics Magazine 92 (2019), issue 3, 187-198.
Directly from the journal
(with A.J. Ganger, S.N. Golden, and C.A. Lyons) "On the girth of two-dimensional real algebraically defined graphs." Discrete Mathematics 342 (2019) 2834--2842.
Directly from the journal
This project was supported by NSF #1560222, REU Site: Undergraduate Research in Mathematics, Applied Mathematics, and Statistics at Lafayette College.
(with A. Kodess, D. Manzano-Ruiz, and E. Noe) "Classification by girth of three-dimensional algebraically defined monomial graphs over the real numbers.'' Discrete Mathematics 344 (2021).
Directly from the journal
(with S. Molitoris Miller and J. Austin) "Off to a good start: Using mathematics to evaluate settlement locations in Catan." Book Chapter in Teaching Mathematics Through Games, edited by M. Capaldi. MAA Press: An Imprint of the American Mathematical Society, 2021.
From the publisher
Directly from the journal
Doctoral Dissertation:
"On Polynomial Graphs and Generalized Quadrangles". University of Delaware. May 2013.
Other Documents:
Some notes on properties
of arcs and ovals in the classical projective plane, culminating with a
proof of Segre’s Theorem.
(Last updated October 2012)