Contacting Members

Dr Thomas E. Woolley

Dr Thomas E. Woolley

Dr Thomas E. Woolley

DPhil, MMATH, AHEA

Personal Web Page

eMail: Thomas [dot] Woolley [-at-] maths [dot] ox [dot] ac [dot] uk
Contact Form

Phone Number(s):

Reception/Secretary: +44 1865 273525
Direct: +44 1865 615136

Office: RI.2.27

Preferred Address:

Pidge me at St. John's College

Departmental Address:

Mathematical Institute
24-29 St Giles'
Oxford
OX1 3LB
England

Research Interests: 

 

With Rafael Barrio, Jose Luis Aragon and my supervisors Ruth Baker and Philip Maini, I am looking into the existence of solitons in the a reaction-diffusion model with respect to patterning on stingrays. The case of symmetric stationary states has been completed so I have been looking into the case of asymmetric stationary states due to a small constant term.

Parallel to this I have been researching the effect of stochasticity on a Turing instability in a reaction diffusion model on a growing domain. The aim of this is to produce a consistent theory of peak splitting and insertion which can be compared to the deterministic case. I will also be intending to expand on the analysis done by Edmund Crampin by moving into higher dimensions.

I am also interested in the physical applications of my maths and so hope to produce Turing patterns through CIMA experiments on a growing domain and compare these with the mathematical analysis.

Prizes, Awards and Scholarships: 

Richard Southern award 2004

Casbard Scholarship for getting a first in mods 2005

Gibbs Mathematics award 2007

Junior Mathematics prize 2008

IMA Prize 2008

SIAM travel award 2009

St John's College travel award 2009

MPLS division prize speaker 2009

St John's College Non-stipendary Lectureship, Trinity term 2010

Major/Recent Publications: 

  1. Stochastic reaction and diffusion on growing domains: Understanding the breakdown of robust pattern formation. T. E. Woolley, R. E. Baker, E. A. Gaffney and P. K. Maini. 2011. Phys. Rev. E, 84, 046216.

  2. Influence of stochastic domain growth on pattern nucleation for diffusive systems with internal noise. T. E. Woolley, R. E. Baker, E. A. Gaffney and P. K. Maini. 2011. Phys. Rev. E, 84, 041905.

  3. The Secret of the Winning Streak. T. E. Woolley and M. P. F. du Sautoy. 2011. School Sci. Rev., 93(342), pages 93-99.

  4. Power spectra methods for a stochastic description of diffusion on deterministically growing domains. T. E. Woolley, R. E. Baker, E. A. Gaffney and P. K. Maini. 2011. Phys. Rev. E, 84, 021915.

  5. Interactions between Shh, Sostdc1 and Wnt signaling and a new feedback loop for spatial patterning of the teeth. S. W. Cho, S. Kwak, T. E. Woolley, M. J. Lee, E. J. Kim, R. E. Baker, H. J. Kim, J. S. Shin, P. K. Tickle, C. Maini and H. S. Jung. 2011. Development, 138, 1807–1816.

  6. Analysis of stationary droplets in a generic Turing reaction-diffusion system. T. E. Woolley, R. E. Baker, P. K. Maini, J. L. Aragón and R. A. Barrio. 2010. Phys. Rev. E, 82, 051929.
Teaching: 

I am currently a TA for perturbation methods, Maple and B5a.

Further Details: 

My personal website
Ruth Baker's website
Philip Maini's website
Aaron Smith's website
Kit Yates' website
Last updated by on Wed, 28/11/2012 - 5:39pm.
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