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Personal profile

Personal Statement

I obtained my PhD in Mathematics from the University of Manchester in 1993 and have spent most of my career carrying out research into matrix algebra. My interest in applications drew me inexorably towards network theory and my research interests now centre on the algebraic structure of networks as well as on the use of networks to represent other mathematical structures.

Personal webpage here.

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

Bak-Sneppen Model Mathematics
Balancing Mathematics
Mixed Complementarity Problem Mathematics
Markov processes Physics & Astronomy
Markov Process Mathematics
Scaling Mathematics
Network Flow Problem Mathematics
Linear Complementarity Problem Mathematics

Projects 2011 2019

EPSRC Doctoral Training Grant - DTA, University of Strathclyde | Sheerin, Matthew James

Estrada, E., Knight, P. & Sheerin, M. J.

EPSRC (Engineering and Physical Sciences Research Council)

1/10/1325/05/18

Project: Research Studentship - Internally AllocatedResearch Studentship (Internally Allocated)

Research Output 2007 2017

Network models and biproportional rounding for fair seat allocations in the UK elections

Akartunali, K. & Knight, P. A., 30 Jun 2017, In : Annals of Operations Research. 253, 1, p. 1-19 19 p.

Research output: Contribution to journalArticle

Open Access
File
Network Flow Problem
Rounding
Elections
Seats
Network Model

A First Course in Network Theory

Estrada, E. & Knight, P. A., 26 Mar 2015, Oxford. 272 p.

Research output: Book/ReportBook

Balancing
Complex Networks
Biology
Physics
Background

Thesis

A multilevel approach for approximating the inverse Hessian in four-dimensional variational data assimilation

Author: Brown, K. L., 1 Apr 2015

Supervisor: Ramage, A. (Supervisor) & Knight, P. (Supervisor)

Student thesis: Doctoral Thesis

Random rectangular networks : theory and applications

Author: Sheerin, M. J., 1 Apr 2017

Supervisor: Knight, P. (Supervisor) & (Supervisor)

Student thesis: Doctoral Thesis

Activities 2009 2019

  • 5 Participation in conference
  • 1 Organiser of major conference

28th Biennial Conference on Numerical Analysis

Alison Ramage (Organiser), Philip Knight (Organiser), John Mackenzie (Organiser)
25 Jun 201928 Jun 2019

Activity: Participating in or organising an event typesParticipation in conference

27th Biennial Conference on Numerical Analysis

Alison Ramage (Organiser), Philip Knight (Organiser), John MacKenzie (Organiser)
27 Jun 201730 Jun 2017

Activity: Participating in or organising an event typesOrganiser of major conference