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Radically filtered quasi-hereditary algebras and rigidity of tilting modules
(Cambridge University PressMathematical Proceedings of the Cambridge Philosophical Society, 2017-09)
Let $\textit{A}$ be a quasi-hereditary algebra. We prove that in many cases, a tilting module is rigid (i.e. has identical radical and socle series) if it does not have certain subquotients whose composition factors extend ...
Teichmüller spaces and bounded symmetric domains do not mix isometrically
(SpringerGeometric and Functional Analysis, 2017-06-01)
This paper shows that, in dimensions two or more, there are no holomorphic isometries between Teichüller spaces and bounded symmetric domains in their intrinsic Kobayashi metric.
Homological stability for automorphism groups
(Academic PressAdvances in Mathematics, 2017-10-01)
Given a family of groups admitting a braided monoidal structure (satisfying mild assumptions) we construct a family of spaces on which the groups act and whose connectivity yields, via a classical argument of Quillen, ...
The Calderón problem for connections
(University of CambridgeDepartment of Pure Mathematics and Mathematical StatisticsTrinity College, 2017-10-03)
This thesis is concerned with the inverse problem of determining a
unitary connection $A$ on a Hermitian vector bundle $E$ of rank $m$ over
a compact Riemannian manifold $(M, g)$ from the Dirichlet-to-Neumann
(DN) ...
Symmetry in monotone Lagrangian Floer theory
(University of CambridgeDepartment of Pure Mathematics and Mathematical StatisticsTrinity College, 2017-10-01)
In this thesis we study the self-Floer theory of a monotone Lagrangian submanifold $L$ of a closed symplectic manifold $X$ in the presence of various kinds of symmetry. First we consider the group $\mathrm{Symp}(X, L)$ ...
Brownian motion correlation in the peanosphere for κ >8
(ElsevierAnnales de l'institut Henri Poincare (B) Probability and Statistics, 2017-11-01)
The peanosphere (or "mating of trees") construction of Duplantier, Miller, and Sheffield encodes certain types of $\gamma$-Liouville quantum gravity (LQG) surfaces ($\gamma \in (0,2)$) decorated with an independent ...
Bounded Height in Families of Dynamical Systems
(Oxford University PressInternational Mathematics Research Notices, 2017-08-29)
Let a, b ∈ $\bar{\mathbb{Q}}$ be such that exactly one of a and b is an algebraic integer, and let f$_{t}$(z) := z$^{2}$ + t be a family of polynomials parameterized by t ∈ $\bar{\mathbb{Q}}$. We prove that the set of all ...
Fano Varieties in Mori Fibre Spaces
(International Mathematics Research Notices, 2016-01-01)
Simplified models for multi-criteria decision analysis under uncertainty
(2010)
When facilitating decisions in which some performance evaluations are uncertain, a decision must be taken about how this uncertainty is to be modelled. This involves, in part, choosing an uncertainty format {a way of ...
Software Support for Podcasting Mobile Lecture Content for Education in Sub-Sahara African Universities
(2013-11)
Podcasting is fast gaining traction in developing regions as a means to augment classroom instruction. Commercial podcasting tools such as Apple’s Leopard Server, Tele-task and OpenEya, despite being successfully used in ...