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Coupling Geometric PDEs with Physics for Cell Morphology, Motility and Pattern Formation

13th July 2015 to 18th December 2015

The aim of this six-month research programme is to create a unique forum to strengthen and develop research links between state-of-the-art experimental "wet" sciences (biology, medicine, bio-physics) and theoretical "dry" sciences (pure, applied and computational mathematics, theoretical physics, statistics). In this programme we will discuss and present in a hands-on format current experimental methodology for cell motility and pattern formation. We will emphasise interactions between experimentalists and theoreticians, with the dual goals of understanding how current mathematical techniques from physics, differential geometry, mathematical modelling and numerical analysis can help to understand current problems in the areas of cell motility and pattern formation, and what new mathematical techniques may emerge in the process.

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Mathematical, Foundational and Computational Aspects of the Higher Infinite

19th August 2015 to 18th December 2015

The goals of set theory are the analysis of the structure of the Higher Infinite, i.e. Cantor's set-theoretic universe and the elucidation of the nature of infinite mathematical objects and their role in foundational issues underlying mathematics. Moreover, the current standard system of set theory, the Zermelo-Fraenkel axioms with the Axiom of Choice (ZFC), is the usual framework for a large part of mathematics.

Current set-theoretic research on infinity focuses on the following three broad areas: large Cardinals and inner model theory, descriptive set-theoretic methods and classification problems, and infinite combinatorics.

The programme HIF will connect these three main strands of set-theoretic research and other fields of set theory to the wider scope of mathematics, to research in the foundations of mathematics, including some philosophical issues, and to research on computational issues of infinity, e.g. in theoretical computer science and constructive mathematics.

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Stimulating the interchange of knowledge and ideas between academics from different disciplines and users of modern mathematics such as industry and policy makers, the Turing Gateway facilitates access to experts with highly specialist mathematical knowledge.

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The Isaac Newton Institute is a singularity in the research landscape - scientists from the whole world meet and push the frontiers of science.

Stephanie Widder

Stefanie Widder, University of Vienna

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    Clay Mathematics Institute The Leverhulme Trust London Mathematical Society Microsoft Research NM Rothschild and Sons