Recent Submissions

  • Coherent states and classical radiative observables in the S-matrix formalism 

    Gonzo, Riccardo (Trinity College Dublin. School of Mathematics. Discipline of Pure & Applied Mathematics, 2022)
    In this thesis, we study classical radiative observables perturbatively in terms of on-shell scattering amplitudes. In particular, we focus primarily on the two-body problem in gauge and gravitational theories by using an ...
  • Non-planar anomalous dimensions in super Yang-Mills theories 

    Spiering, Anne (Trinity College Dublin. School of Mathematics. Discipline of Pure & Applied Mathematics, 2022)
    Conformal supersymmetric Yang--Mills theories play an important role in the gauge-gravity correspondence and, despite being highly non-physical, have been a driving force for many new approaches in more realistic theories ...
  • 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 ...

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