# William A. Bogley

# William A. Bogley

## Biography

Bill joined the OSU faculty in 1990. He spent formative years as Associate Dean in the University Honors College, where his principal duty was to recruit coursework from every corner of campus. Bill has participated actively in shared governance with the Faculty Senate and served as Director of Academic Programs, Assessment & Accreditation in Academic Affairs. Bill has served as Lead Advisor, Associate Chair, and now Head of the Mathematics Department.

## Research

Structure and classification of groups given by generators and relations. Low dimensional topology and homotopy theory. Asphericity of cell complexes and equations over groups.

### Research Interests

- Topological Group Theory

## Background

### Education

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

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

A.B. in Mathematics, Dartmouth College, 1981

## Research areas

Geometry and Topology### Publications

- William A. Bogley, Martin Edjvet, and Gerald Williams, Aspherical relative presentations all over again, in: Proceedings of Groups St. Andrews in Birmingham 2017 London Math. Soc. Lect. Notes Series 455 (Cambridge University Press, 2019) 169-199. arXiv:1809.03460.

William A. Bogley and Forrest W. Parker, Cyclically presented groups with length four positive relators, J. Group Theory 21 (2018), 911-948, published online 6/15/2018. 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