Status:
Personal website:
ORCID iD:
https://orcid.org/0000000194736542Research groups:
Address
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG
Recent Publications:
The impact of alphabet size on pattern complexity of maxmin$$\omega$$ω cellular automata
Natural Computing
(14 April 2020)
Complexity of Maxminω Cellular Automata
Springer Proceedings in Complexity
page 98107
(1 January 2018)
Phase locking to the ntorus
IMA Journal of Applied Mathematics
issue 1
volume 81
page 152164
(1 January 2016)
A maxplus model of asynchronous cellular automata
Complex Systems
issue 4
volume 23
page 313341
(1 January 2014)
On the need for a new playing die
Mathematical Scientist
issue 1
volume 39
page 6575
(1 January 2014)
Research interests:
Discrete dynamical systems, networks, cellular automata, asynchrony, maxplus algebra, Lsystems, complex systems.
February 2018Present:
PDRA with OxfordEmirates Data Science Lab
I am looking at using maxplus algebra to improve the scheduling of Dubai's airport activities.
Maxplus algebra forms the basis of "maxminomega", a model of discrete event systems that I developed for my PhD. Thus, I am also interested in developing ideas from this and Complex Systems, as in the following.

Discrete dynamical systems: cellular automata, Lsystems, and complex patterns

Industrial and biological applications of maxminplus algebra.
October 2013February 2016:
PDRA at the Mathematical Institute, Oxford
Constructed efficient energy distribution algorithms for the smart grid in collaboration with engineering partners in Oxford and Korean energy firm.
Teaching:
Michaelmas 2019:
 Prelim Probability
 Part A Probability.
Hilary 2020:
 Supervision of group project "Railway network timetabling using maxplus algebra", Case Studies in Mathematical Modelling and Scientific Computing (MSc)
 Supervision of four dissertations spanning Part C and OMMS.
Trinity 2020:
 Prelim Stats and Data
 Prelim Constructive Mathematics
 Part A Graph Theory.
Prizes, awards, and scholarships:
* Winner of the ECM Catherine Richards Prize 2015, Institute of Mathematics and its Applications, for "Mixing Motions", coauthored with A. D. Irving.
** Winner of the ECM Catherine Richards Prize 2014, Institute of Mathematics and its Applications, for "Pendulum Pattern Perception", coauthored with A. D. Irving.
Major / recent publications:
E. L. Patel, "The impact of alphabet size on pattern complexity of maxminomega cellular automata", Nat Comput (2020). https://doi.org/10.1007/s11047020097872
E. L. Patel, "Complexity of Maxminomega Cellular Automata", Unifying Themes in Complex Systems IX. ICCS 2018. Springer Proceedings in Complexity. Springer, Cham., 2018.
A. D. Irving and E. L. Patel, "Orbital Origins", Mathematics Today, June 2017.
E. L. Patel, "Maxminomega: A Simple Deterministic Asynchronous Cellular Automaton Scheme", Cellular Automata: 12th International Conference on Cellular Automata for Research and Industry, ACRI 2016, Fez, Morocco, September 5–8, 2016. Proceedings, 9863, p. 192. Springer, 2016.
A. D. Irving and E. L. Patel, "Mixing Motions"*, Mathematics Today, February 2016.
P. Grindrod and E. L. Patel, "Phase locking to the ntorus", IMA Journal of Applied Mathematics, 81(1), pp. 152–164, 2016.
E. L. Patel and D. Broomhead. "A MaxPlus Model of Asynchronous Cellular Automata", Complex Systems, 23(4), 2014.
A. D. Irving and E. L. Patel, "Pendulum Pattern Perception"**, Mathematics Today, December 2014.