Primary Title:

Professor

Email Contact:

Voice Contact:

(541) 737-5158

Fax Contact:

(541) 737-0517

Office:

Kidd 282A

Office Hours:

Spring 2017

- Apr 3-Jun 9
- M 11-12, T 11:30-12:30, and T 9-10 in Kidder 282A
- F 3-4 in MLC (108 Kidder)

- Finals Week Jun 12-16
- MT 2-4pm in Kidder 282A
- WR 9-10am in Kidder 282A

You can contact me any time by email. For information about how to contact an academic advisor in the Mathematics Department, please visit this page.

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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