Professor Neil O'Connell
Neil O'Connell Professor of Mathematics Office: C2.19 Phone: +44 (0) 24 7652 8337 Email: N dot M dot O-Connell at warwick dot ac dot uk |
Teaching Responsibilities 2014/15:
Term 1: MA138 Sets and Numbers (for Maths/Physics, MORSE, Discrete Maths students)
Term 2: MA448 Hyperbolic Geometry
Research Interests:
Probability, mathematical physics, algebraic combinatorics, representation theory, integrable systems.
Selected recent publications:
O'Connell, N, Seppalainen, T and Zygouras, N, Geometric RSK correspondence, Whittaker functions and symmetrized random polymers, Inventiones Mathematicae 197 (2014) 361-416.
O'Connell, N, Directed polymers and the quantum Toda lattice, Annals of Probability 40 (2012) 437-458.
Biane, P, Bougerol, P and O'Connell, N, Continuous crystals and Duistermaat-Heckman measure for Coxeter groups, Advances in Mathematics 221 (2009) 1522-1583.
Biane, P, Bougerol, P and O'Connell, N, Littelmann paths and Brownian paths, Duke Mathematical Journal 130, (2005) 127-167.
Doumerc, Y and O'Connell, N, Exit problems associated with finite reflection groups, Probability Theory and Related Fields 132, (2005) 501-538.
O'Connell, N and Yor, M, A representation for non-colliding random walks, Electronic Communications in Probability 7, (2002) 1-12.
Most relevant research grant:
European Research Council Advanced Grant “Integrable random structures".
Links:
Les Houches Summer school: Stochastic processes and random matrices, July 2015