# Andrew Brooke-Taylor

I am a
University Academic Fellow
in the
School of Mathematics
of the University of Leeds.
I also hold an
EPSRC Early Career Fellowship, with the research project
*
Bringing set theory and algebraic topology together*.

I currently have 3 doctoral students,
John Howe
(co-supervised with John Truss),
Richard
Matthews (co-supervised with Michael Rathjen), and
Bea Adam-Day (co-supervised with Dugald Macpherson).
My former student
Stamatis Dimopoulos
graduated in 2018.

## Research

I mainly work in
set theory,
and am especially interested in
large cardinal
axioms.
These posit the existence of cardinals (infinities)
so large that they cannot be proven to
exist from the standard axioms (assumptions) for mathematics.
By assuming that such
large cardinals
do exist, we strengthen the theory, and so are able to draw more conclusions
and do more mathematics than we could otherise.

A big feature of my research is applictions of set theory to other areas of
mathematics, particularly
category theory and
algebraic topology. Indeed, this is the topic of
my EPSRC Early Career Fellowship.
I have also started to pursue connections with abstract
model theory, as the
same parts of category theory as arise in my previous work turn out to
be relevant in that context as well.

### Accessible categories and their connections workshop

From July 17 to 20 I hosted a workshop on accessible categories and
their connections - see the
workshop webpage.

### Publications

There is a fairly up-to-date **list** of my publications on my
standard School of Mathematics webpage.
They are **reviewed** on
MathSciNet (subscription required), and
here are the papers themselves on the arXiv.

Last updated: 2018-09-20