# Collin Bleak's Homepage

## Teaching

For Spring 2006, I am teaching Math 323 (Calculus III) and Math 108
(Pre-Calculus). Below, find links with some descriptive information
for these courses. Note that the link to Math 108 corresponds to Dick
Sileo's notes for the course.

## Research Description

My current research is primarily focussed on classifying the structures of
subgroups of the group PLo(I) of piecewise linear homeomorphisms of
the unit interval with finitely many breaks in slope, under the
operation of composition. I consider this to be one part of a
larger project building a theory of groups modelled in PLo(I). Note
that PLo(I) contains R. Thompson's group F as a subgroup, so my
research impacts the theory of F as well.
Here is my
Research Statement, as of
Fall 2005.

## Papers and Talks and Such ...

Here is a copy of my
dissertation,
and here is an informal
description
of the algebraic results there.

Here is an outdated description of my
papers. Two are submitted, and one is
about to be submitted.

I post to the
Arxives, and old
versions of papers/and or preprints can be found there.

Here is a slide version of the
talk: ``Solvability in Groups of
Piecewise-linear Homeomorphisms of the Unit Interval." Which I gave at
Bard for the AMS and also at Binghamton University and Cornell
University in Fall 2005.