Biography

• Senior Lecturer in Mathematics (Lecturer since September 2006).
• Fixed-term and Visiting Lectureships at Oxford, Bath and Warwick (2002-2006).
• PDRF at Courant Institute, Oxford, Max-Planck-Institute and Heriot-Watt (1997-2002).
• PhD in Mathematics (1998): Heriot-Watt (1994-1996), Oxford (1996-1997). Thesis Advisor: Prof Sir J.M. Ball FRS.

Personal webpage

Role

• Chair of Postgraduate Exam Board
• Research Committee (Representative of Analysis & PDEs)

Research Interests:

• Nonlinear Partial Differential Equations.
• Multi-dimensional Calculus of Variations.
• Harmonic Analysis on Euclidean Spaces.
• Geometric Function Theory.
• Geometric Analysis and Riemannian Geometry.
• Real Analysis and Topology.
  

PhD Supervision 

• Current PhD Students:

1. Abimbola Abolarinwa (2009-): Geometric Analysis, Uniformization, Ricci-Hamilton Flow.
2. Joe Gavin (2011-): Strichartz estimates, Fourier restriction, Multi-linear estimates, Dispersive PDEs.
3. Leyla Farsani (2010-) Quasiconvexity, Projection onto Gradients, Subspaces with no rank-one directions.
4. Richard Awoluniska (2013-): Generalised Littlewood-Paley theory, Laplace-Beltrami on Hyperbolic spaces, Selberg Formula.

•  Past PhD Students:

1. Mohammad Sadegh Shahrokhi-Dehkordi (2011): Topological Methods for Extremals and Strong Local Minimizers in the Calculus of Variations.

MSc Supervision

• Current MSc Students:
  

1. Victor Summers: Galois theory, Cyclotomic Polynomials and Solvability.
2. Mary Cassels: Representations of Finite and Compact Lie groups.
3. Harry Williams: Spectral theory, Spectral measures and Weyl's formula.
4. Harriet Couchman: Mathematical Logic, First and Second Order Languages.

•  Past MSc Students:
  

1. Richard Awoluniska: Operator Semigroups and Function Spaces.
2. Gary Poole: Galois theory, Soluble groups and Field Extensions.
3. Xiao Zhang: Godel's First and Second Incompleteness Theorems.
4. Joe Gavin: Fibre Bundles, Characteristic Classes and Whitney Embeddings.
5. Jacob Cook: Foundations of Mathematical Logic and Set Theory.
6. Max Huberman: Serre Fibrations, Stable homotopy of the Orthogonal and Unitary groups.

• Algebraic Topology (2008 - 2012)
• Complex Analysis (2007 - 2009)
• Differential Geometry (2012 -)
• Linear Algebra (2006 -)
• Topology and Advanced Analysis (2010 -)

Student Consultation

Monday 10-11, Tuesday 9-10.