Research
Refereed Publications

(with Stephen Gagola III) Strong complete mappings for 3groups. Discrete Math. 21 (2022), Paper no. 112643. pdf.
 Linear operator identities in quasigroups. To appear in Comm. Math. Univ. Carolinae. pdf.

(with Roy Joshua) Explicit ChowLefschetz decompositions of Kummer manifolds. Ktheory: Proceedings of the International Colloquium, Mumbai, 2016, 155194. pdf.
 Symmetric Linear Operator Identities in Quasigroups. Comment. Math. Univ. Carolinae 58 (2017), no.4, 401417. pdf.
 On Generalized Associativity in Groupoids. Quasigroups and
Related Systems 24 (2016), no. 1, 16. pdf

(with Lucas Lee) Connectivity of the zerodivisor graph for finite
rings. Involve 9 (2016), no. 3, 415422. pdf

(with B. Burns, H. Dohrmann, H. Hoganson, O. Sobieska, and Z. Woods)
Splitting techniques and Betti numbers of secant powers.
Involve 9 (2016), no. 5, 737750. pdf

(with Max Forlini) The Linear Chromatic Number of a Sperner Family, Discrete Applied Mathematics 171 (2014), 18. pdf

The Representation Number of Some Sparse Graphs, Discrete Mathematics
312 (2012), no. 22, 34173423.
pdf

(with A. Arp, M. Kaminski, D. Vernon, J. VanExel, and
C. Washington) The varieties of BolMoufang quasigroups defined by a
single operation, Quasigroups and Related Systems 20 (2012), 110.
pdf

(with Tony Evans and Dan Pritikin) Representation Numbers of Complete
Multipartite Graphs, Discrete Mathematics 312 (2012),
no. 6, 11581165.
pdf

(with Roy Joshua) Toric Residue Codes: I. Finite Fields and
Their Applications 17, no. 1 (2011), 1550. pdf

(with Paul Larson) Smallsum pairs in abelian groups. J. de Th. de Nombres
de Bordeaux 22, no. 3 (2010), 525535.
pdf

(with Tony Evans and Dan Pritikin) Representation Numbers of
Stars. Integers 10 (2010), 733745.
pdf

(with M. Boggess, T. JacksonHenderson, I. Jimenez, R. Karpman, A. Kinzel,
D. Pritikin) On the unitary Cayley graph of a finite ring.
Electronic Journal of Combinatorics 16 (2009), no. 1,
Research Paper 117, 13 pp.
pdf.
Erratum.

(with Roy Joshua) Lefschetz Decompositions for Quotient Varieties.
Journal of Ktheory 3 (2009), no. 3, 547560.
pdf

(with Tao Jiang and Zevi Miller) Asymptotic determination of
edgebandwidth of multidimensional grids
and Hamming graphs.
SIAM Journal on Discrete Mathematics 22 (2008), no. 2,
425449.
pdf

(with Tao Jiang and Dan Pritikin) Edgebandwidth of the triangular grid.
Electronic Journal of Combinatorics 14 (2007), no. 1,
Research Paper 67, 11 pp.
pdf

A modl vanishing theorem of BeilinsonSoule type.
Journal of Pure and Applied Algebra 208 (2007), no. 2,
555560.
pdf

(with Lucas Lee) Homology of zerodivisors.
Rocky Mountain Journal of Mathematics 37 (2007), no. 4,
11051126.
pdf.
Erratum.

(with Roy Joshua) Kunneth decompositions for quotient varieties.
Indagationes Mathematicae 17 (2006), no. 3, 319344.
pdf
 Adequate equivalence relations and Pontryagin Products.
Journal of Pure and Applied Algebra 196 (2005), 2137.
pdf
 Cycles on curves over global fields of positive characteristic.
Transactions of the American Mathematical Society 357
(2005), 25572569.
pdf
 Torsion in mixed Kgroups.
Communications in Algebra 32 (2004), 295314.
pdf
 Zerocycles on varieties over finite fields.
Communications in Algebra 32 (2004), 279294.
pdf
 Milnor Ktheory of smooth varieties.
Ktheory 32 (2004), 269291.
pdf
 (with Alistair Lachlan) On countable homogeneous 3hypergraphs.
Archive for Mathematical Logic 34 (1995), 331344.
Preprints / Work in Progress

(with Stephen Gagola III) Strong complete mappings for 2groups.

(with S. Ram Arvind) On the distribution of the greatest common divisor for number fields.
Conference Volume

(with P. Brosnan, R. Joshua, eds.) The Geometry of Algebraic Cycles.
Papers from the 2nd Conference on
Algebraic Cycles held at the Ohio State University, Columbus, OH, March 25–29,
2008. Clay Mathematics Proceedings 9.
Theses

Milnor Ktheory and zerocycles on algebraic varieties.
Ph.D. dissertation, Brown University (2000).
pdf

Cyclotomic Euclidean Number Fields.
Senior thesis, Harvard University (1995).
pdf
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