Giles Gardam

Photo of Giles Gardam

I am a postdoc in geometric group theory currently participating in the Hausdorff Trimester Program Logic and Algorithms in Group Theory in Bonn (September to December 2018), and from January 2019 I will be working in the Topology Group at the WWU Münster as a Research Associate (Akademischer Rat auf Zeit). My graduate studies were supervised by Martin Bridson in Oxford and afterwards I was a postdoc for a year at the Technion. I did my undergraduate studies at the University of Sydney and wrote my honours thesis under the supervision of Anne Thomas.

I successfully defended my DPhil thesis on 1 September 2017.

You can contact me at Address is <firstname><surname>@gmail.com

Research interests

I'm interested in obstructions to negative and non-positive curvature (for instance, in what settings are subgroups like Baumslag-Solitar groups the only obstruction?), one-relator groups, finiteness properties, profinite rigidity, minimal presentations (e.g. deficiency), group laws, algorithms and compexity in group theory. My interest in computational group theory is not purely theoretical: I code as appropriate.

Papers

I have an arXiv page.

Recent talks

Other writing

Teaching

I had no teaching duties at the Technion.

University of Oxford

University of Sydney

Posters

I made a poster titled The word problem and one-relator groups (NB: 2.5 MB TIFF file, or click thumbnail below for 740 KB JPEG). It outlines a project in which I verified that a problem suggested by Myasnikov, Ushakov and Won has a positive answer for many small cases. My paper with Daniel Woodhouse shows that the answer is false in general.

There's also a poster corresponding to an old version of the paper Finite groups of arbitrary deficiency (a 3.0 MB PDF file, or 700 KB JPEG linked from thumbnail). The new version avoids the spectral sequence computation.

Preview of poster Preview of poster

Where you might meet me

Where you might have met me