Spectral theory provides a rigorous framework for analysing the eigenvalues and eigenfunctions of differential operators that play an essential role in mathematical physics. In particular, ...

Kolla’s research interests include spectral graph theory, algorithms, complexity, convex programming, statistical physics and quantum computing. Kolla is particularly interested in the use of spectral ...

Coxeter theory investigates groups generated by reflections and the geometric structures arising from their actions, such as root systems and Dynkin diagrams. This body of work underpins vast areas of ...

The notion of spectral invariance of a locally convex *-algebra is defined by constructing the enveloping C*-algebra and is characterized. It is shown that the spectral invariance induces K-theory ...

This course is available on the BSc in Mathematics and Economics and BSc in Mathematics with Economics. This course is available as an outside option to students on other programmes where regulations ...

The Annals of Applied Probability, Vol. 16, No. 1 (Feb., 2006), pp. 295-309 (15 pages) We consider the discrete Laplace operator $\Delta ^{(N)}$ on Erdős-Rényi random graphs with N vertices and edge ...