Joshua Roberts

Ph.D. Candidate

Mathematics Department

University of Kentucky

Profile on Dept’s Graduate Student Spotlight

Office:

Patterson Office Tower 718

Office Hours:

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,

Applied algebraic topology,

Computational homology

Curriculum vitae, updated November 2009

Topological Data Analysis (pdf slides) (to view the movie file on slide 8, you’ll need to save this file in the same directory as the pdf file)

An Algorithm for Low Dimensional Group Homology (preprint), to appear in Homology, Homotopy, and Applications

Presentation of the paper above (pdf slides)

An Introduction to Applied Algebraic Topology: Persistent Homology (pdf slides)

A Gentle Introduction to Spectral Sequences (pdf)

A Homological Algebra Cheat Sheet (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)

Tips for Math Tutors (pdf) and the reference website