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Three viewpoints on semi-abelian homology
(University of CambridgeDepartment of Pure Mathematics and Mathematical StatisticisEmmanuel College, 2009-11-17)
The main theme of the thesis is to present and compare three different viewpoints on semi-abelian homology, resulting in three ways of defining and calculating homology objects. Any two of these three homology theories ...
Autonomous Pseudomonoids
(University of CambridgeDepartment of Pure Mathematics and Mathematical Statistics, 2009-04-25)
In this dissertation we generalise the basic theory of Hopf algebras to the context of autonomous pseudomonoids in monoidal bicategories.
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Comparing Grothendieck-Witt Groups of a Complex Variety to its Real Topological K-Groups
(Department of Pure Mathematics and Mathematical Statistics, University of Cambridge, 2009-01)
On a complex variety X, two different approaches to K-theory are available: the
algebraic K-theory of the variety, and the topological K-theory of the underlying
topological space. In this context, the algebraic variant ...
Computational modeling of the EGFR network elucidates control mechanisms regulating signal dynamics
(2009-12-22)
Abstract Background The epidermal growth factor receptor (EGFR) signaling pathway plays a key role in regulation of cellular growth and development. While highly studied, it is still not fully understood how the signal is ...