Academic/Research Units within this Academic/Research Unit

Recent Submissions

  • Homotopical and effective methods for associative algebras 

    Tamaroff, Pedro Nicolas (Trinity College Dublin. School of Mathematics. Discipline of Pure & Applied Mathematics, 2021)
    This thesis contains four main chapters based on four different papers. In the third chapter, we solve the problem of computing the minimal model of an arbitrary associative monomial algebra. Our methods are combinatorial ...
  • THE CATLIN MULTITYPE OF SUMS OF SQUARES DOMAINS 

    AIDOO, NICHOLAS (Trinity College Dublin. School of Mathematics. Discipline of Pure & Applied Mathematics, 2021)
    Given a sum of squares domain of finite D'
  • Computational and mathematical aspects of Feynman integrals 

    HIDDING, MARTIJN (Trinity College Dublin. School of Mathematics. Discipline of Pure & Applied Mathematics, 2021)
    This thesis covers a number of different research projects which are all connected to the central topic of computing Feynman integrals efficiently through analytic methods. Improvements in our ability to evaluate Feynman ...
  • From positive geometries to a coaction on hypergeometric functions 

    Britto, Ruth (2020)
    It is well known that Feynman integrals in dimensional regularization often evaluate to functions of hypergeometric type. Inspired by a recent proposal for a coaction on one-loop Feynman integrals in dimensional regularization, ...
  • A family of compact strictly pseudoconvex hypersurfaces in C^2 without umbilical points 

    ZAITSEV, DMITRI; Ebenfelt, Peter; Ngoc Son, Duong (2018)
    We prove the following: For ϵ>0, let Dϵ be the bounded strictly pseudoconvex domain in ℂ2 given by (log|z|)2+(log|w|)2<ϵ2. The boundary Mϵ:=∂Dϵ⊂ℂ2 is a compact strictly pseudoconvex CR manifold without umbilical ...

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