Analysis of PDEs

• Mathematical aspects of general relativity
• Geometric analysis of PDEs
• Stochastic partial differential equations

Related academics: 

• Prof. Martin Hairer
• Dr Gustav Holzegel

Complex Analysis

• Moduli spaces and rigidity
• Small-divisors and linearisation in low dimensions

Related academics:

• Dr Fabrizio Bianchi
• Dr Davoud Cheraghi
• Dr Alexandre de Zotti
• Prof. Walter Hayman

Functional Analysis

• Spectral properties, random matrix theory
• Special functions, orthogonal polynomials
• Coercive inequalities and isoperimetry

Related academics:

• Dr Igor Krasovsky
• Prof. Ari Laptev
• Prof. Boguslaw Zegarlinski

Harmonic Analysis

• Pseudo-differential and fourier integral operators
• Harmonic analysis on lie groups

Related academics:

• Dr Julio Delgado
• Prof. Ari Laptev