I am a research fellow in pure mathematics at the University of Melbourne. My research interests are in algebraic topology, geometric representation theory and mathematical physics, and my work is centered on equivariant elliptic cohomology.

My supervisor is Dr. Nora Ganter


School of Mathematics and Statistics

The University of Melbourne

Parkville 3010 VIC, Australia

email: matthew.spong at unimelb.edu.au

Research statement 


Preprints and publications:

Comparison theorems for torus-equivariant elliptic cohomology theories (Ph.D. thesis)

A construction of complex analytic elliptic cohomology from double free loop spaces (submitted for publication)

(with Zhen Huan) Twisted quasi-elliptic cohomology and twisted equivariant elliptic cohomology (submitted for publication)


The MAA and AMS Joint Mathematics Meetings, Denver, Colorado, 16th January 2020 (slides)

Topology seminar, Ruhr Universit├Ąt, Bochum, Germany, 26th November 2019

Johns Hopkins Topology Seminar, Johns Hopkins University, Baltimore, USA, 18th November 2019 

Notre Dame Topology Seminar, University of Notre Dame, Notre Dame, USA, 12th November 2019 

UIUC Topology Seminar, University of Illinois at Urbana-Champaign, Urbana-Champaign, USA, 5th November 2019

Elliptic Cohomology Days, University of Illinois at Urbana-Champaign, Urbana, 2019

AMS Mathematics Research Community on Geometric Representation Theory and Equivariant Elliptic Cohomology at the Whispering Pines Conference Center, Rhode Island, June 2019

Annual meeting of the Australian Mathematical Society, in November 2018 at the University of Adelaide (slides), and in December 2017 at Macquarie University, in Sydney

MSRI Summer School on Derived Geometry and Higher Categorical Structures in Geometry and Physics, at the University of Toronto, June 2018

Matrix conference on Geometric R-Matrices: From Geometry to Probability, University of Melbourne, Creswick campus, December 2017

Conference in Honour of Michael Murray, University of Adelaide, Adelaide, November 2017


Pure mathematics seminar archive at the University of Melbourne

Australian mathematical society (AustMS) homepage