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  • The Ads/CFT spectrum via Integrability-based algorithms 

    MARBOE, CHRISTIAN (Trinity College Dublin. School of Mathematics. Discipline of Pure & Applied Mathematics, 2017)
    The spectral problem of the AdS/CFT correspondence is believed to be integrable in the planar limit. The Quantum Spectral Curve captures the underlying mathematical structure in a relatively simple Riemann-Hilbert problem. ...
  • The associative filtration of the dendriform operad 

    ALGHAMDI, NORAH MOHAMMED (Trinity College Dublin. School of Mathematics. Discipline of Pure & Applied Mathematics, 2019)
    The associative filtration of the dendriform operad Norah Mohammed Alghamdi A dendriform algebra is a vector space V with two binary operations denoted < and > that satisfy the following three algebraic properties for all ...
  • 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'
  • 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 ...
  • 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 ...
  • Polynomial Filtered HMC: An Algorithm for lattice QCD with dynamical quarks 

    PEARDON, MICHAEL (2012)
    Polynomial approximations to the inverse of the fermion matrix are u sed to filter the dynamics of the upper energy scales in HMC simulations. The use of a multiple time-scale integration sc heme allows the filtered ...