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Research
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My current research is on dynamical systems with multiple time-scales. Here is a link to a non-technical (but dense!) expository article by John Guckenheimer that explains why such systems are of importance in Biology.
Papers
Singular Hopf bifurcation in a lactotroph model (with John Guckenheimer, in preparation) [program files supplementing the paper]
Rigorous Enclosures of Slow Manifolds (with John Guckenheimer and Tomas Johnson, accepted by the SIAM Journal on Applied Dynamical Systems in May 2012) [pdf]
Unfoldings of singular Hopf bifurcation (with John Guckenheimer, submitted) [pdf]
Hausdorff dimension and biaccessibility in polynomial Julia sets (with Dierk Schleicher, accepted at Proc. AMS in June 2011) [pdf]
Presentations and posters
Unfoldings of singular Hopf bifurcation, poster presentation at the Current Topics Workshop "New Developments in Dynamical Systems Arising from the Biosciences", Mathematical Biosciences Institute (Ohio), March 22-26, 2011
Unfoldings of singular Hopf bifurcation, invited talk in a minisymposium at the "Society of Industrial and Applied Mathematics (SIAM) Conference on Applications of Dynamical Systems", Snowbird (Utah), May 22-26, 2011
Workshop Proceedings
Bounded type Siegel disks and Lebesgue measure, talk in the Arbeitsgemeinschaft "Julia sets of positive measure", Oberwolfach Reports Vol. 5, Issue 2, 2008, pp. 891-892