Guy Boyde

I am a homotopy theorist, interested in everything unstable, but especially in the asymptotic behaviour of torsion in unstable homotopy groups.

I am currently a postdoc at Utrecht University, working with Gijs Heuts. I did my PhD at Southampton, under the supervision of Stephen Theriault. Here’s my CV.

I organised the Southampton Topology Seminar in 21/22. The list of talks can be found here.

Papers and preprints

Some Asymptotic Formulae for Homotopy Groups (jt. w/ Ruizhi Huang) In Preparation
January 2022 Growth of homotopy groups of spheres via the Goodwillie Tower arxiv:2201.08100 Submitted
July 2021 Z/p^r-hyperbolicity via homology arxiv:2106.03516 To appear in Isr. J. Math.
January 2021 p-hyperbolicity of homotopy groups via K-theory arxiv:2101.04591 Math. Z.
February 2020 Bounding size of homotopy groups of spheres arxiv:2001.11872 Proc. EMS

Talks

Feb 2022 Torsion growth in unstable homotopy groups Copenhagen Algebra and Topology Seminar
Apr 2022 Growth of homotopy groups BTM 2022, Durham
Feb 2022 Growth of homotopy groups of spheres with Goodwillie Calculus Warwick Algebraic Topology Seminar
Nov 2021 Short overview of my thesis work (video) Midwest Topology Seminar Networking Event
Oct 2021 Homotopy groups, and how they grow Hodge club, Edinburgh
Sep 2021 Exponential growth in homotopy groups Advances in homotopy theory (CGTA, Southampton/ BIMSA, Beijing)
Dec 2020 A K-theory criterion for p-hyperbolicity Steklov international seminar for young researchers “Algebraic, combinatorial and toric topology”
Dec 2020 A K-theory criterion for p-hyperbolicity Southampton-Kyoto Workshop II
July 2020 Bounding size of homotopy groups of spheres GROOT Summer Seminar
February 2019 A beginner’s guide to `Stable’ Homotopy Theory Bristol Junior Geometry Seminar

Conference attendance

September 2022 In honour of Ran Levi ICMS, Edinburgh
August 2022 Nordic 2022 NTNU, Trondheim
July 2022 YTM 2022 Copenhagen
April 2022 BTM 2022 Durham
Sep 2021 Advances in homotopy theory CGTA, Southampton/BIMSA, Beijing (online)
Dec 2020 Steklov international seminar for young researchers “Algebraic, combinatorial and toric topology” Steklov Institute, Moscow (online)
Dec 2020 Southampton-Kyoto Workshop II Southampton/Kyoto (online)
Summer 2020 GROOT Summer Seminar Notre Dame (online)
March 2020 TiCT 2020 (organiser) ICMS, Edinburgh
January 2020 Thematic Program on Toric Topology and Polyhedral Products Fields Institute, Toronto
September 2019 Southampton-Bielefeld Geometric Group Theory Meeting Southampton
September 2019 BTM 34 Warwick
June 2019 ECTR 2019 Sheffield
September 2018 CGTA Inaugural Event Southampton
July 2018 YRM 2018 Southampton