Mathematics and Computer Studies (Theses)

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Classification of affine and projective conics
(2025-06) Sciascia, Danielle
Algebraic geometry is an area of Mathematics that looks at solving geometric problems using algebraic methods. We can do this by looking at the zeros of polynomials in different spaces. The aim of this dissertation is to construct morphisms into affine and projective spaces and classify conics in A2 and P2.
The stability space of the derived category of holomorphic triples and further investigations
(2021-04-14) Rüffer, Arne
In this thesis we give a complete description of the Bridgeland stability space for the bounded derived category of holomorphic triples over a smooth projective curve of genus one as a connected, four dimensional complex manifold. We will then prove a number of helpful facts that characterise the bounded derived category of holomorphic triples and will subsequently generalise some of the results on the stability space of the bounded derived category of holomorphic triples to that of holomorphic chains.