Recent Submissions

  • Conformal bootstrap and thermalization in holographic CFTs 

    Tadic, Petar (Trinity College Dublin. School of Mathematics. Discipline of Pure & Applied Mathematics, 2021)
    This thesis covers a number of topics in conformal field theories that are supposed to have gravity duals according to the AdS/CFT correspondence. We use the conformal bootstrap in the Regge and lightcone limits as the ...
  • Integrable systems, separation of variables and the Yang-Baxter equation 

    Ryan, Paul (Trinity College Dublin. School of Mathematics. Discipline of Pure & Applied Mathematics, 2021)
    This thesis is based on the author’s publications during the course of his PhD studies and focuses on various aspects of the field of quantum integrable systems. The aim of this thesis is to develop the so-called separation ...
  • 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 ...

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