Research Interests

Exponential asymptotics for linear and nonlinear ordinary and partial differential equations, difference equations and integrals with saddles. Uniform asymptotic expansions. The computation of special functions.

Research Groups

• Applied and Computational Mathematics

Current and Recent PhD Students

Cristopher Foley started his PhD research in September 2009, and Sarah Khwaja started her PhD research in Uniform Asymptotics in September 2010.

Elinborg Olafsdottir has finished her PhD on Exponential asymptotics for two-time-scale problems in August 2006.

Recent Conference and Workshop Involvement

I was one of the organisers of Maths 2010: The Joint BMC/BAMC Meeting of 2010.

At ICMS (Edinburgh): In June 2006 Chris Howls and I organised an international workshop on Applied Asymptotics and Modelling. The number of participants was 42 and it was funded by an EPSRC grant.

At University of Cantabria (Santander, Spain): In July 2005 I was one of the organisers of a conference with the title Special functions: asymptotic analysis and computation. This conference attracted 35 participants, and was in honour of the 65th birthday of Nico Temme, who was my PhD supervisor.

Professional Activities

The DLMF project

I am the author of three chapters for the Digital Library of Mathematical Functions, which will be the successor to Abramowitz and Stegun's Handbook of Mathematical Functions. The chapters are: hypergeometric functions, confluent hypergeometric functions, and generalized hypergeometric functions.

Education Background

1983-1989: Mathematics at the Katholieke Universiteit Nijmegen, The Netherlands.

1989-1994: I did my PhD research at CWI in Amsterdam, under the supervision of Dr N. M. Temme. I got my PhD degree from the University of Amsterdam in 1993.

Previous Employment

Since September 1995: Lecturer in the School of Mathematics at the University of Edinburgh.

1995 January-June: Participant in the international workshop in exponential asymptotics at the Isaac Newton Institute for Mathematical Sciences at Cambridge University

1994-1995: Post-Doc at the University of Maryland.

1993-1994: Post-Doc at the University of Oxford.