Prof. Mason Porter

BS Caltech, MS Cornell, PhD Cornell

Status

Visiting Professor, Research Fellow, Lecturer

Professor of Nonlinear and Complex Systems

Tutor in Applied Mathematics, Somerville College

Contact form

http://people.maths.ox.ac.uk/porterm/

+44 1865 615137

Address
Mathematical Institute
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG

Highlighted publications

Comparing community structure to characteristics in online collegiate social networks

Traud, A Kelsic, E Mucha, P Porter, M SIAM Review volume 53 issue 3 526-543 (1 December 2011)

A mathematical model for the dynamics and synchronization of cows

Sun, J Bollt, E Porter, M Dawkins, M Physica D: Nonlinear Phenomena volume 240 issue 19 1497-1509 (15 September 2011)

Dynamic reconfiguration of human brain networks during learning.

Bassett, D Wymbs, N Porter, M Mucha, P Carlson, J Grafton, S Proc Natl Acad Sci U S A volume 108 issue 18 7641-7646 (3 May 2011) https://www.ncbi.nlm.nih.gov/pubmed/21502525

Discrete breathers in one-dimensional diatomic granular crystals.

Boechler, N Theocharis, G Job, S Kevrekidis, P Porter, M Daraio, C Phys Rev Lett volume 104 issue 24 244302- (18 June 2010) https://www.ncbi.nlm.nih.gov/pubmed/20867305

Community structure in time-dependent, multiscale, and multiplex networks

Mucha, P Richardson, T Macon, K Porter, M Onnela, J Science volume 328 issue 5980 876-878 (14 May 2010)

Teaching

In 2014–2015, I am teaching Networks (C5.4).

Further details

For a lot more information, please see http://people.maths.ox.ac.uk/porterm/.

Research interests

My research interests lie in statistical and nonlinear physics and in the application of such techniques to the physical, engineering, social, and biological sciences. Topics on which I have written research papers include nonlinear waves (such as solitary waves), nonlinear oscillators, classical and quantum chaos, network science (including applications to social and biological networks), billiard systems, granular materials, and nonlinear optics. I am interested in many other applications as well.

I am also interested in mathematics exposition and have made a point to write several articles for venues such as Notices of the American Mathematical Society and American Scientist.

In addition to my MI affiliations, I am also a member of the Complex Agent-Based Dynamical Networks (CABDyN) Complexity Centre [yes, the word 'complex' does appear twice in the name].

Recent publications

Topological data analysis of task-based fMRI data from experiments on schizophrenia

Stolz-Pretzer, B Emerson, T Nahkuri, S Porter, M Harrington, H Journal of Physics: Complexity volume 2 issue 3 (19 May 2021)

Pull out all the stops: Textual analysis via punctuation sequences

Darmon, A Bazzi, M Howison, S Porter, M European Journal of Applied Mathematics volume 32 issue 6 1069-1105 (21 Sep 2020)

Detection of core-periphery structure in networks using spectral methods and geodesic paths

Cucuringu, M Rombach, P Lee, S Porter, M European Journal of Applied Mathematics volume 27 issue 6 846-887 (3 August 2016)

Heterogeneous, weakly coupled map lattices

Sotelo Herrera, M San Martin, J Porter, M COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION volume 36 549-563 (July 2016) http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000370005100040&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=4fd6f7d59a501f9b8bac2be37914c43e

Scattering of waves by impurities in precompressed granular chains

Martínez, A Yasuda, H Kim, E Porter, M Kevrekidis, P Yang, J Physical Review E volume 93 issue 5 052224- (25 May 2016)

Prizes, awards, and scholarships

See my CV for these items.

Major / recent publications

See the publications page on my website: http://people.maths.ox.ac.uk/~porterm/papers.html