Graduate Students

Here is a partial list of my graduate students:

Justin A. Stevenson (Ph.D. "Character Quasigroups: A Generalization of Pontryagin Duality," 2024)
Connor M. Depies (Ph.D. "New Approaches to the Octonions and Their Maximal Orders," 2024)
Mitchell D. Ashburn (Ph.D. "Vector-matrix Algebras and Formed Monotopies of Formed Lie Algebras," 2024)
Caroline Bang (Ph.D. "Embedded Graph 3-coloring and Flows on Orientable Surfaces," 2023)
Alex W. Nowak (Ph.D. "Linear Aspects of Equational Triality in Quasigroups," 2020)
Stefanie G. Wang (Ph.D. "On Free Quasigroups and Quasigroup Representations," 2017)
Eli Stines (Ph.D. "Abelian qo-Groups and Atomic Pseudo-Valuation Domains," 2012)
Andrew T. Wells (Ph.D. "Zorn Vector Matrices over Commutative Rings and the Loops Arising From Their Construction," 2010)
Jan Martin Raasch (M.S. "Commutators and Associators in Catalan Loops," 2009)
Mehmet Dağlı (Ph.D. "Lie Algebra Decompositions with Applications to Quantum Dynamics," 2008)
James Fiedler (Ph.D. "Greco-Latin Squares as Bijections," 2007)
Key One Chung (Ph.D. "Weak Homomorphisms of Coalgebras," 2007)
Ruben Aydinyan (Ph.D. "Loop Transversal Codes over Finite Rings," 2004)
Patrick Mutungi (Ph.D. "Simple Ternary Complex Grassmann Algebras," 2004)
Ted A. Rice (M.S. "Greedy Quasigroups and Combinatorial Games," 2004; Ph.D. "Greedy Quasigroups and Greedy Algebras with Applications to Combinatorial Games," 2007)
Benard Kivunge (Ph.D. "Sedenion Extension Loops and Frames of Hypercomplex 2ⁿ-ons," 2004)
Ji Young Choi (Ph.D. "Multi-Restricted Numbers and Powers of Permutation Representations," 2002)
Petr Vojtĕchovský (Ph.D. "Finite Simple Moufang Loops," 2001)
Dug-Hwan Choi (Ph.D. "Support Functions of Convex Subsets of a Finite-Dimensional Real Space," 1998)
Jurek Wojdylo (Ph.D. "Relation Algebras and Vertex Conditions in Graph Theory," 1998)
Feng-Luan "Cindy" Hsu (Ph.D. "Coding Theory and Discrete Transforms," 1996)
Ashay Dharwadker (M.S. "Representations of Moufang Loops," 1994)
Richard Rossmanith (M.S. "Ternary Commutator Algebras," 1994)
Lois G. Thur (Ph.D. "Subgradients of Algebraically Convex Functions," 1993)
M.F. "Hoby" Hobart (Ph.D. "Vector Lattices," 1993)
T.S.R. "Monthy" Fuad (Ph.D. "Quasigroups, Right Quasigroups, Coverings and Representations," 1993)
Frank A. Hummer (Ph.D. "Loop Transversal Codes," 1992)
J.D. Phillips (Ph.D. "Combinatorial Triality and Representation Theory," 1992)
Xiaorong Shen (Ph.D. "Comtrans Algebras," 1991)

Genealogy:

J.D.H. Smith		(Ph.D. "Centrality," 1975.)
\|
J.H. Conway	<	R.E. Borcherds (Fields Medal 1998), R.T. Curtis, C. Ferenbaugh, T. Hsu, R. Margolin, W. Schneeburger, C. Simons, D. Smith
\|
H. Davenport	<	A. Baker (Fields Medal 1970), T. Cusick, A. Jones, H. Montgomery
\|
J.E. Littlewood	<	A.O. Atkin, P. Bullen, S. Chowla, Sir E. Collingwood, D. Spencer
\|
E. Barnes
\|
W.W. Rouse Ball

Back to the Mathematics Institute

Back to Main Street