1985 …2014

Research output per year

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Personal profile

Research interests

My principal research area is probability theory and its applications in combinatorics and computer science. In particular, I am interested in random combinatorial structures, random combinatorial optimisation problems, and the probabilistic analysis of algorithms. Recently, I have been working with Jerzy Jaworski (Adam Mickiewcz University, Poznan) on the development of a calculus for the distributions of various graphical properties of the directed graphs that represent random mappings with exchangeable in-degrees. Using this calculus, we can investigate, for example, epidemic thresholds on such graphs. This work was supported by Marie Curie Intra-European Fellowships under Framework 6 and 7. I have also worked on problems in random geometry the analysis of algorithms for random combinatorial optimization problems graph colouring algorithms the stability of processor sharing networks

Biography

I was an undergraduate at Carleton College (Minneosta), where I graduated Magna Cum Laude with Distinction in Mathematics. I then studied at Warwick University as a Marshall Scholar where I completed an M.Sc. in Pure Mathematics. I returned to the US and completed a PhD in probability theory at the University of Minnesota under Bert Fristedt’s supervision. Since completing my PhD, I have worked at Tufts University, Northeastern University, and Heriot-Watt (since 1992). I have collaborated on a number of research papers with Eric Schmutz (Drexel) and Jerzy Jaworski (Poznan). Thanks to my collaborator Eric Schmutz, my Erdos number is 2.

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