IMI Prize Fellow at the University of Bath, UK.

**Research:** My work sits at the intersection of Tropical Mathematics, Numerical
Linear Algebra, Dynamical Systems, Statistics and Machine
Learning. Tropical mathematics was pioneered by the Brazilian
mathematician and computer scientist Imre Simon in connection
with certain cellular automaton problems in the 1980s. The
adjective tropical has been used historically in his honor. The
usefulness of tropical mathematics arises from the observations
that many mathematical objects that are highly non-linear and
therefore intractable to conventional mathematical approaches
simplify greatly, even becoming linear when viewed through the
lens of tropical mathematics.

Tropical mathematics in general deals with a class of algebraic structures, the canonical example of which is the "max-plus" semiring. Roughly speaking max-plus algebra is the study of equations that are structured around the binary operations of "taking the maximum" and "addition".
Tropical mathematics is a fairly young field with enormous potential
for applications in practical data analysis problems. Much of
the existing theory for tropical mathematics is concerned with pure
mathematics questions arising from the study of algebraic
geometry and ergodic theory. In my work I exploit and expand
the suite of mathematical tools used in these areas to develop
exciting new techniques for solving practical data analysis
problems, reveling tropical structure in datasets from
applications including infrastructure networks, social
networks, distributed computing systems and large scale
numerical linear algebra problems.

During my fellowship at Bath I aim to advance both the theory and
applications of tropical mathematics, in three directions:
tropical methods for conventional numerical linear algebra, time
series analysis for discrete event systems and network structure
analysis via min-plus low rank approximation.

**Bio:** In 2012 I completed my PhD, titled "Topics in Dynamical
Systems", supervised by Professor David Broomhead, at the University
of Manchester, UK.

Following my PhD I held a one year EPSRC Doctoral Prize Fellowship,
"Smoothing non-smooth systems", at
the University of Manchester, with project sponsor Professor Paul
Glendining.

From 2013-2016 I was a PDRA with Professor Francoise Tisseur at the
University of Manchester on the EPSRC grant EP/I005293 "Nonlinear
Eigenvalue Problems: Theory and Numerics".

In 2016 I took up my current post as the Institute for Mathematical
Innovation (IMI) Prize Fellow at the University of Bath, UK.