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  • A dynamical study of the chirally rotated Schrödinger functional in lattice QCD 

    Brida, Mattia Dalla (Trinity College (Dublin, Ireland). School of Mathematics, 2015)
    In this work, we present first results from dynamical simulations of the chirally rotated Schrödinger functional (SF) in lattice QCD. More specifically, we discuss the determination of renormalization constants of ...
  • 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. ...
  • CFTs on Riemann surfaces of genus g ≥ 1 

    Leitner, Marianne (Trinity College (Dublin, Ireland). School of Mathematics, 2014)
    The purpose of this thesis is to argue that N-point functions of holomorphic fields in rational conformal field theories can be calculated by methods from algebraic geometry. We establish explicit formulae for the 2-point ...
  • Charmed tetraquarks from lattice QCD 

    THORNTON, BARRY WILLIAM (Trinity College Dublin. School of Mathematics. Discipline of Pure & Applied Mathematics, 2018)
  • CR Singularities in condimension 2 

    Burcea, Valentin Daniel (Trinity College (Dublin, Ireland). School of Mathematics, 2013)
    In this thesis we study the real submanifolds of codimension 2 in a complex manifold near a CR singularity. The thesis has 3 chapters. In Chapter 1 we shall make a small introduction where we will remind some basic notions ...
  • Cₒ(X)-structure in C*-algebras, multiplier algebras and tensor products 

    McConnell, David (Trinity College (Dublin, Ireland). School of Mathematics, 2015)
    We begin in Chapter 2 with an introduction to the various notions of a bundle of C*-algebras that have appeared throughout the literature, and clarify the definitions of upper- and lower-semicontinuous C*-bundles not ...
  • Discrete exterior calculus with applications to flows and spinors 

    De Beaucé, Vivien (Trinity College (Dublin, Ireland). School of Mathematics, 2005)
  • Fourier analysis, multiresolution analysis and dilation equations 

    Malone, David (Trinity College (Dublin, Ireland). School of Mathematics, 1998)
    This thesis has essentially two parts. The first two chapters are an introduction to the related areas of Fourier analysis, multiresolution analysis and wavelets. Dilation equations arise in the context of multi resolution ...
  • Free Field Representation and Form Factors of the Chiral Gross-Neveu Model 

    Britton, Stephen (Trinity College (Dublin, Ireland). School of Mathematics, 2013)
    The process of using the free field representation to construct form factors of two dimensional integrable models is very promising. In this thesis, this procedure is analysed and adapted for application to the chiral ...
  • Integrable lattice models for strongly correlated electrons 

    Quinn, Eoin (Trinity College (Dublin, Ireland). School of Mathematics, 2013)
    This thesis is dedicated to the study of a new family of integrable lattice models for strongly correlated electrons, namely the Hubbard- Shastry models. The techniques of exactly solvable models, and in particular those ...
  • Parameter estimation on neuron models 

    Lynch, Eoin (Trinity College (Dublin, Ireland). School of Mathematics, 2015)
    Spiking neuron models can accurately predict the response of neurons to somatically injected currents. However, finding parameters for neuronal models that accurately replicate the responses seen in in-vivo experiments is ...
  • Peturbative study of the Chirally Rotated Schrödinger Functionality in Lattice QCD 

    Mainar, Pol Vilascea (Trinity College (Dublin, Ireland). School of Mathematics, 2014)
    In this thesis we study the renormalisation and O(a) improvement of the Chirally Rotated Schrödinger Functional (xSF) in perturbation theory. The xSF was originally proposed in [1] as a way of rehabiliting the mechanism ...
  • Solutions to dilation equations 

    Malone, David (Trinity College (Dublin, Ireland). School of Mathematics, 2001)
    This thesis aims to explore part of the wonderful world of dilation equations. Dilation equations have a convoluted history, having reared their heads in various mathematical fields. One of the early appearances was in the ...
  • Spectral functions from lattice QCD at finite temperature 

    Harris, Tim (Trinity College (Dublin, Ireland). School of Mathematics, 2015)
    An investigation of the bottonionium spectrum above and below the QCD deconfinement crossover temperature, Tc, was performed using a non-relativistic treatment of the heavy quark on anisotropic lattices with Nf = 2 + 1 ...
  • Spectroscopy and scattering of mesons containing charm quarks from lattice QCD 

    Moir, Graham (Trinity College (Dublin, Ireland). School of Mathematics, 2013)
    We present excited spectra of mesons containing charm-light (D), charm-strange (Ds) and charm-charm (charmoninm) combinations. We perform these spectroscopic calculations on two volumes. 16(3) X 128 and 24(3) x 128, of ...
  • Spike train analysis 

    Cooney, Cathal (Trinity College (Dublin, Ireland). School of Mathematics, 2015)
    This thesis focuses on the study of spike trains, the information carrying signals conveyed by neurons in the nervous system. Spiking data from songbirds from [Narayan et al., 2006] was used prominently in this thesis. ...
  • Static-light-light baryons : a spectroscopic study using distillation 

    Mc Elroy, Finnian (Trinity College (Dublin, Ireland). School of Mathematics, 2013)
    Over the last decade, hadron spectroscopy in lattice QCD has graduated from calculating single rows of the quark propagation matrix to calculating all elements of the quark propagation matrix - the so-called all-to-all ...
  • The radiation bound for a Klein-Gordon field on a static spherical spacetime 

    Collins, Michael Patrick (Trinity College (Dublin, Ireland). School of Mathematics, 2013)
    We establish a well-posed Cauchy problem in Minkowski (R4, η), associated with a radiating Klein-Gordon field ψ(x) = eztψ(xi), in curvature coordinates {xμ = t, p, θ,Φ} on a static spherically symmetric spacetime (M, g). ...