Dr Philip Knight

Lecturer

Mathematics and Statistics

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.

Publications

Network models and biproportional rounding for fair seat allocations in the UK elections: Akartunali Kerem, Knight Philip A; Annals of Operations Research Vol 253, pp. 1-19 (2017); https://doi.org/10.1007/s10479-016-2323-0
A First Course in Network Theory: Estrada Ernesto, Knight Philip A; (2015)
A symmetry preserving algorithm for matrix scaling: Knight Philip, Ruiz Daniel, Ucar Bora; SIAM Journal on Matrix Analysis and Applications Vol 35, pp. 931–955 (2014); https://doi.org/10.1137/110825753
A fast algorithm for matrix balancing: Knight Philip, Ruiz Daniel; IMA Journal of Numerical Analysis Vol 33, pp. 1029-1047 (2013); https://doi.org/10.1093/imanum/drs019
Rank-driven Markov processes: Grinfeld Michael, Knight Philip, Wade Andrew; Journal of Statistical Physics Vol 146, pp. 378-407 (2012); https://doi.org/10.1007/s10955-011-0368-7
Bak-Sneppen-type models and rank-driven processes: Grinfeld Michael, Knight Philip A, Wade Andrew R; Physical Review E Vol 84 (2011); https://doi.org/10.1103/PhysRevE.84.041124

more publications

Professional activities

28th Biennial Conference on Numerical Analysis: Organiser; 25/6/2019
27th Biennial Conference on Numerical Analysis: Organiser; 27/6/2017
26th Biennial Conference on Numerical Analysis: Organiser; 23/6/2015
25th Biennial Conference on Numerical Analysis: Organiser; 25/6/2013
24th Biennial Conference on Numerical Analysis: Organiser; 28/6/2011
23rd Biennial Conference on Numerical Analysis: Organiser; 23/6/2009

more professional activities

Projects

Scalable partitioning of large complex networks: Knight, Philip (Principal Investigator); 01-Jan-2019 - 30-Jan-2021
EPSRC Doctoral Training Grant - DTA, University of Strathclyde | Sheerin, Matthew James: Estrada, Ernesto (Principal Investigator) Knight, Philip (Co-investigator) Sheerin, Matthew James (Research Co-investigator); 01-Jan-2013 - 25-Jan-2018
EPSRC Science and Innovation - Numerical Analysis | Yorston, Alison Heather: Barrenechea, Gabriel (Principal Investigator) Knight, Philip (Co-investigator) Yorston, Alison Heather (Research Co-investigator); 01-Jan-2012 - 14-Jan-2020
EPSRC DOCTORAL TRAINING GRANT | Brown, Kirsty Lynne: Ramage, Alison (Principal Investigator) Knight, Philip (Co-investigator) Brown, Kirsty Lynne (Research Co-investigator); 01-Jan-2011 - 25-Jan-2019

more projects

Address

Mathematics and Statistics
Livingstone Tower

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