Joshua Roberts

Ph.D. Candidate

Mathematics Department

University of Kentucky

Profile on Dept’s Graduate Student Spotlight

Office:

Patterson Office Tower 718

Office Hours:

Tuesday, Wednesday, Thursday 1-2pm

Also by appointment

Phone:

859-257-6806

E-mail:

jroberts AT ms.uky.edu

Mailing Address:

Department of Mathematics

719 Patterson Office Tower

University of Kentucky

Lexington, KY  40506-0027

Research Interests

Algebraic topology,

Algebraic & topological K-theory,

Cohomology of linear groups,

Computational homology,

Experimental mathematics

Curriculum vitae, updated May 2009

An Algorithm for Low Dimensional Group Homology to appear in Homology, Homotopy, and Applications (arXiv.org link)

Slides of a presentation of the paper above at the Joint Mathematics Meetings, Jan 09 (pdf)

Error Function / Interesting Integral (pdf)

Frees in Algebra (pdf)

Bundles in Topology (pdf)

“Covering Spaces Done Right” (pdf)

De Rham Cohomology Calculation (pdf)

Master’s Talk Presentation (pdf)

Qualifying Talk Presentation (pdf)

Relative Group Homology (pdf)

Introduction to Cup Product in Cohomology (pdf)