|Present||Professor of Mathematics, Cedarville University ‐ Department of Science and Mathematics|
Honors and Awards
- Faculty Summer Grant, Cedarville University - 1999
- Rackham Dissertation Fellow, University of Michigan - 1995
- Phi Beta Kappa, University of Nebraska - 1989
- Abstract Algebra
- Beautiful Math Structures and Thinking
- Discrete Math: Combinatorics
- Euclidean and Non-Euclidean Geometry
- Discrete Mathematics: Graph Theory
|Ph.D., The University Of Michigan|
|B.S., University of Nebraska - Lincoln|
Department of Science and Mathematics
Conjugacy of Alt5 and SL(2,5) Subgroups of E8(C) Faculty Books (1998)
Exceptional complex Lie groups have become increasingly important in various fields of mathematics and physics. As a result, there has been interest in expanding the representation theory of finite groups to include embeddings into the ...
Refereed Journal Articles (11)
Conjugacy of Embeddings of Alternating Groups in Exceptional Lie Groups Bulletin of the Institute of Mathematics (2018)
We discuss conjugacy classes of embeddings of Alternating groups in Exceptional Lie groups. We settle the count of classes of embeddings in E8 of a subgroup Alt10 and its double cover. This involves computation and ...
Embeddings of Altn and Its Perfect Covers for ≥6 in Exceptional Complex Lie Groups Journal of Algebra (2016)
We classify Formula Not Shown and its perfect covers for Formula Not Shown up to conjugacy as subgroups of the exceptional complex Lie groups (with some exceptions where we give lower bounds and discuss the ...
On Powers of 2 Dividing the Values of Certain Plane Partition Functions Journal of Integer Sequences (2001)
We consider two families of plane partitions: totally symmetric self-complementary plane partitions (TSSCPPs) and cyclically symmetric transpose complement plane partitions (CSTCPPs). If T(n) and C(n) are the numbers of such plane partitions in a 2n ...
Conjugacy of Alt_5 and SL(2, 5) Subgroups of E_6(C), F_4(C) and a Subgroup of E_8(C) of Type A_2E_6 Journal of Algebra (1998)
We classify Alt5 and SL2; 5 subgroups of E6 and F4 up to conjugacy. We then use our results to answer conjugacy questions about ALT5 and SL2; 5 subgroups of E8 which were not resolved ...