Primary Title:

Professor

Email Contact:

Voice Contact:

(541) 737-5158

Fax Contact:

(541) 737-0517

Office:

Kidd 282A

Office Hours:

Fall 2017

- 20 Sep-8 Dec
- M 11-12, WF 3-4pm in Kidder 282A

Ph.D. in Mathematics, University of Oregon, 1987

M.S. in Mathematics, University of Oregon, 1983

A.B. in Mathematics, Dartmouth College, 1981

Research Field:

Topological Group Theory

Research Description:

Recent Papers:

- Willam A. Bogley and Forrest W. Parker, Cyclically presented groups with length four positive relators, arXiv:1611.05496
- W. A. Bogley and Gerald Williams, Coherence, subgroup separability, and metacyclic structures for a class of cyclically presented groups, J. Algebra 480 (2017) 266–297. arXiv:1606.00216
- W. A. Bogley and Gerald Williams, Efficient finite groups arising in the study of relative asphericity, Math. Z. (2016) 284:507–535. PDF arXiv:1607.01951
- W. A. Bogley, On shift dynamics for cyclically presented groups, J. Algebra 418 (2014), 154-173. PDF arXiv:1312.5382

Areas of interest and publication:

- Structure and shift dynamics for cyclically presented groups
- Asphericity of cell complexes and cohomology of groups
- Relative homotopy groups and equations over groups
- Actions on cell complexes and finiteness properties of groups
- Combinatorial geometry and algorithmic/decidability properties of groups
- Wild metric cell complexes and omega-group structures, in which certain infinite products can be formed subject to suitable generalizations of the associativity axiom.

Research Group:

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