Henry Wilton

Dept of Mathematics, 1 University Station C1200, Austin, TX 78712

(512) 471-8143

henry.wilton@math.utexas.edu

I am an R. H. Bing Instructor at the University of Texas at Austin. You can find me in room RLM 10.140. My principal areas of research include

limit groups and the logic of free and hyperbolic groups,
separability and profinite completions,
the fundamental groups of 3-manifolds

and other areas of geometric group theory.

All my articles, notes and slides are in pdf format, so you can view them using Acrobat Reader.

Teaching

In the Spring 2009 semester, I will be teaching a graduate course in Geometric Group Theory. The syllabus is somewhat idiosyncratic. The notes will be appear on this blog. Material from courses that I have taught before is available here.

Papers

Here is a list of my publications on MathSciNet.

Residually free 3-manifolds. Algebraic and Geometric Topology 8 (2008), pp. 2031-2047.

Enumerating limit groups (with Daniel Groves). To appear in Groups, Geometry and Dynamics.

Subgroup separability in residually free groups (with Martin R. Bridson), Math. Z. 260(1) (2008), pp. 25-30.

Hall's Theorem for limit groups, Geom. Funct. Anal., 18(1) (2008), pp. 271--303.

Elementarily free groups are subgroup separable, Proc. London Math. Soc., 95(2) (2007), pp. 473-496.

Limit groups, positive-genus towers and measure equivalence
(with Martin R. Bridson and Michael Tweedale), Ergod. Th. Dynam. Sys. 27 (2007), pp. 703-712.

Subgroup separability of limit groups. PhD thesis, University of London (2006).

Solutions to Bestvina & Feighn's exercises on limit groups. To appear in Geometry and Cohomology in Group Theory (Durham, 2003).

Preprints

Here is an ArXiv search for me.

Conjugacy classes of solutions to equations and inequations over hyperbolic groups (with Daniel Groves). Preprint (2007).
Profinite properties of graph manifolds (with Pavel Zalesskii). Preprint (2008).
Virtual retractions, conjugacy separability and omnipotence. Preprint (2008).
On surface subgroups of doubles of free groups (with Cameron Gordon). Preprint (2009).

Notes

My Part III essay on The Geometrization Conjecture
The Rips Machine
In the autumn of 2007 I visited the MSRI for their Geometric Group Theory programme. Lars Louder and I took notes on Zlil Sela's course on definable sets in free groups. In their current, incomplete state they can be found here.

Talks

This is a list of some talks that I've given. Some of them have accompanying notes or slides, of variable quality. E-mails pointing out typos and other errors are appreciated.

A topological approach to conjugacy separability (Topology Seminar, UT Austin, September 2008)
Enumerating limit groups (Non-positive curvature and the elementary theory of free groups, Anogia, Greece, June 2008)
A structure theory for limit groups and Positive-genus towers (Geometry, Topology and Dynamics Seminar, UIC, April 2008)
Computing solutions to systems of equations over free and hyperbolic groups (Groups and Dynamics Seminar, Texas A&M, March 2008)
Computing solutions to systems of equations over free and hyperbolic groups (AMS Sectional Meeting, Baton Rouge, March 2008)
Residually free 3-manifolds (Topology Seminar, Rice, March 2008)
Residually free 3-manifolds (Topology Seminar, UT Austin, February 2008)
Enumerating limit groups (Post-doc seminar, MSRI, Berkeley, September 2008)
Subgroup separability in residually free groups (Introduction to Geometric Group Theory, MSRI, Berkeley, August 2008), visible online here
Hall's Theorem for limit groups (Caen, July 2007)
Hall's Theorem for limit groups (Paris-Sud 11, Orsay, July 2007)
Limit groups, LERF and local retractions (Geometry & Topology Seminar, Caltech, February 2007)
Limit groups are LERF (Topology Seminar, UT Austin, October 2006)
Some residual properties of groups (AMS Sectional Meeting, University of Utah, October 2006)
Some residual properties of groups (Amitsur Algebra Colloquium, Hebrew University of Jerusalem, April 2006)
Limit groups, measure equivalence and subgroup separability (Geometry, Integrable Systems and Topology, University of Glasgow, January 2006)
Subgroup separability and limit groups (London Algebra Colloquium, November 2005)
At the Geometric Topology conference at Będlewo in July 2005, Lars Louder and I gave a series of recitations to accompany Mladen Bestvina's workshop on limit groups. Here are the slightly illegible handwritten notes from recitations I and III. (Będlewo, July 2005)
An Introduction to Limit Groups (Series for Telgiggy, Imperial College, London, January 2005)

I also have notes/slides for graduate talks on An Introduction to Geometrization, Group actions on trees, Algebraic geometry over groups, Bass-Serre theory and Hyperbolic spaces, R-trees and outer automorphisms.

Conferences

Non-positive curvature and the elementary theory of free groups (Anogia, Greece, June 2008)
AMS Sectional Meeting (Baton Rouge, March 2008)
Topics in Geometric Group Theory (MSRI, Berkeley, November 2007)
Introduction to Geometric Group Theory (MSRI, Berkeley, August 2007)
AMS Sectional Meeting (Salt Lake City, October 2006)
Asymptotic Group Theory (Jerusalem, May 2006)
Geometric and Topological Methods in Group Theory (Oberwolfach, April 2006)
Geometric topology (Będlewo, July 2005)
Geometric group theory (Będlewo, April 2004)
Hodge theory in a new century (Edinburgh, July 2003)
Geometry and cohomology in group theory (LMS colloquium, Durham, July 2003)

Other mathematicians etc.

These are links to the web pages of some other mathematicians: my mathematical family, colleagues, collaborators, housemates etc.

My thesis supervisor, Martin Bridson, University of Oxford
My doctorbruder, Michael Tweedale, University of Bristol
Alan Reid, UT Austin
Daniel "Danny" Groves, UIC
Ben Klaff, UT Austin
David "Ben" McReynolds, Chicago
Claire Postlethwaite is an applied mathematician in Auckland.
Tim Storer is a philosopher.

This page was last updated on the 9th of March, 2009