If you made any changes in Pure these will be visible here soon.

Personal profile

Research Interests

Homotopy theory, functor calculus, and related fields. 


My personal webpage with more information may be found here: https://sites.google.com/view/nialltaggartmath

Research Focus

My research interests lie in algebraic topology, where one uses tools from algebra to study properties (invariants) of topological spaces. I am particularly interested in stable homotopy theory with an equivariant flavour, and the applications of such to functor calculus. 

Functor calculus may be thought of as a version of Taylor's Theorem from differential calculus applied to functors satisfying particular properties. Current projects include constructing a variant of functor calculus from functors from the category of complex vector spaces to the category of topological spaces and analysing the homotopy theory of such a calculus. I am also interested in how the various versions of functor calculi relate to each other. 

I am also interested in more general questions. For example, the Blakers-Massey Theorem for cubes is a well-established result relating the connectivity of homotopy limits and colimits. Together with collaborators, I am trying to extend this result to diagrams indexed on the poset of subspaces of the n-plane. This project is interesting in its own right but should also give valuable insight into analytic functors in orthogonal calculus, a rather unexplored class of functors, despite their important role in Goodwillie calculus.


I am currently a teaching assistant on PMA3017 Metric and Normed Spaces.

In previous years I have been a teaching assistant on PMA1020 Numbers, Vector and Matrices, PMA2002 Analysis, and PMA2008 Group Theory. 

Fingerprint Dive into the research topics where Niall Taggart is active. These topic labels come from the works of this person. Together they form a unique fingerprint.

  • 1 Similar Profiles


Burgess Prize

Niall Taggart (Recipient), Jul 2017

Prize: Prize (including medals and awards)