Data driven nonlinear expectations for statistical robustness
Abstract
In practice, stochastic decision problems are often based on statistical estimates of probabilities. We all know that statistical error may be significant, but it is often not so clear how to incorporate it into our decision making. In this informal talk, we will look at one approach to this problem, based on the theory of nonlinear expectations. We will consider the large-sample theory of these estimators, and also connections to `robust statistics' in the sense of Huber.
Knotted DNA: mathematical models and biological consequences
Oxford Mathematician Dominic Joyce FRS has won the 2016 LMS (London Mathematical Society) Fröhlich Prize "for his profound and wide-ranging contributions to differential and algebraic geometry." Dominic is Professor of Mathematics and Senior Research Fellow at Lincoln College. His research is, in his own words, "mostly in Differential Geometry, with occasional forays into some more esoteric areas of Theoretical Physics."
Oxford Mathematician James Maynard has been awarded a European Mathematical Society Prize at the 7th European Congress of Mathematics in Berlin. The prizes are awarded every four years in recognition of excellence in mathematics to ten individuals under the age of 35 living or working in Europe.