On some recent sections at Dulwich

Recent Progress on Vector Bundles with Sections

Higher-rank Brill-Noether, at its most basic, seeks to answer the following question: how many global sections can a (semistable) vector bundle of given rank and degree have on general curve of genus g? When there exist vector bundles with a k-dimensional space of sections, one then asks how many such bundles there are. The classical rank-1 version was settled completely in the 1970’s and 1980’...

I fell in love at the Dulwich golf club.

Some Recent KDD-Applications at DaimlerChrysler AG

The mission of the Information Mining department, DaimlerChrysler Research and Technology, is exploring, exploiting, and enriching data mining and text mining methods to provide complex decision and product support systems. A key requirement for being able to provide a complex system lies in the different core technologies used, such as symbolic machine learning, statistical learning procedures...

Some Recent Results on Feedback

In this paper we present several results from our recent work 1] concerning feedback control of the three-dimensional Navier-Stokes system on a bounded domain with non-slip boundary conditions. The feedback is introduced in the form of an additional nonlinear viscosity term which is nonvanishing only on a subdomain of the main domain and is proportional to the energy dissipation functional on t...

Some Recent Results on Random

We outline some recent developments in the theory of random operators concentrating on the spectral properties of additive and multiplicative random perturbations. These models describe the propagation of electrons and of classical waves in randomly perturbed media, respectively. The results presented concern the localization of states and the behavior of the integrated density of states at ene...