Department of Pure Mathematics and Mathematical Statistics (DPMMS)
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Diophantine Approximation as Cosmic Censor for AdS Black Holes
(2020-07-18)The present thesis reveals a novel connection of Diophantine approximation arising from small divisors to general relativity, more precisely, the Strong Cosmic Censorship conjecture. The main results provide theorems which ... -
ON ASAI’S FUNCTION ANALOGOUS TO log |η(z)|
(2015)Kronecker’s first limit formula describes the constant term in the Laurent expansion of a non-holomorphic Eisenstein series at one of its poles. Asai generalised the limit formula to Eisenstein series of level one defined ... -
The Cotype of Operators from C(K)
(1988)In 1987, Jameson [J1] studied the relationship between the (2, 1)-summing norm and the 2-summing norm for operators from l N ∞. He showed that, in general, these norms are not equivalent. At the end of his paper, he ... -
Relating Thompson's group V to graphs of groups and Hecke algebras
This thesis is in two main sections, both of which feature Thompson's group $V$, relating it to classical constructions involving automorphism groups on trees or to representations of symmetric groups. In the first section, ...
