Welcome to the Faculty of Mathematics community.

This community and it’s collections are organized using the University of Waterloo's Faculties and Academics structure. In this structure:

  • Communities are Faculties or Affiliated Institutions
  • Collections are Departments or Research Centres

Research outputs are organized by type (eg. Master Thesis, Article, Conference Paper).

New collections following this structure will be created UPON REQUEST .

Collections in this community

Recent deposits

  • Numerical analysis of space-time hybridized discontinuous Galerkin methods for incompressible flows 

    Kirk, Keegan (University of Waterloo, 2022-08-09)
    Many industrial problems require the solution of the incompressible Navier-Stokes equations on moving and deforming domains. Notable examples include the simulation of rotating wind turbines in strong air flow, wave impact ...
  • Numerical simulations of convection and gravity currents near the temperature of maximum density 

    Grace, Andrew (University of Waterloo, 2022-08-09)
    Recently, the dynamics of flows in cold freshwater (temperatures around the temperature of maximum density, 3.98 oC) has garnered much interest in the environmental fluid dynamics community. From a dynamical perspective, ...
  • Local Perspectives on Planar Colouring 

    Smith-Roberge, Evelyne (University of Waterloo, 2022-08-09)
    In 1994, Thomassen famously proved that every planar graph is 5-choosable, resolving a conjecture initially posed by Vizing and, independently, Erdos, Rubin, and Taylor in the 1970s. Later, Thomassen proved that every ...
  • State Transfer & Strong Cospectrality in Cayley Graphs 

    Árnadóttir, Arnbjörg Soffía (University of Waterloo, 2022-08-09)
    This thesis is a study of two graph properties that arise from quantum walks: strong cospectrality of vertices and perfect state transfer. We prove various results about these properties in Cayley graphs. We consider ...
  • Assessing the accuracy of predictive models with interval-censored data 

    Wu, Ying; Cook, Richard (Oxford University Press, 2022-01)
    We develop methods for assessing the predictive accuracy of a given event time model when the validation sample is comprised of case K interval-censored data. An imputation-based, an inverse probability weighted (IPW), and ...
  • The illness-death model for family studies 

    Lee, Jooyoung; Cook, Richard (Oxford University Press, 2021-07)
    Family studies involve the selection of affected individuals from a disease registry who provide right-truncated ages of disease onset. Coarsened disease histories are then obtained from consenting family members, either ...
  • Selection models for efficient two-phase design of family studies 

    Zhong, Yujie; Cook, Richard (John Wiley & Sons, Ltd., 2021-01-30)
    Family studies routinely employ biased sampling schemes in which individuals are randomly chosen from a disease registry and genetic and phenotypic data are obtained from their consenting relatives. We view this as a ...
  • Semiparametric recurrent event vs time-to-first-event analyses in randomized trials: Estimands and model misspecification 

    Zhong, Yujie; Cook, Richard (John Wiley & Sons Ltd., 2021-04-20)
    Insights regarding the merits of recurrent event and time-to-first-event analyses are needed to provide guidance on strategies for analyzing intervention effects in randomized trials involving recurrent event responses. ...
  • Independence conditions and the analysis of life history studies with intermittent observation 

    Cook, Richard; Lawless, Jerald (Oxford University Press, 2021-07)
    Multistate models provide a powerful framework for the analysis of life history processes when the goal is to characterize transition intensities, transition probabilities, state occupancy probabilities, and covariate ...
  • Integrality theorems for symmetric instantons 

    Whitehead, Spencer (University of Waterloo, 2022-08-05)
    Anti-self-dual (ASD) instantons on R4 are connections A on SU(N)-vector bundles with finite L2-norm and curvature satisfying the ASD equation. Solutions to this non-linear partial differential equation correspond to certain ...
  • Methods for Merging, Parsimony and Interpretability of Finite Mixture Models 

    Kim, Nam-Hwui (University of Waterloo, 2022-08-04)
    To combat the increasing data dimensionality, parsimonious modelling for finite mixture models has risen to be an active research area. These modelling frameworks offer various constraints that can reduce the number of ...
  • Innovations in Domain Knowledge Augmentation of Contextual Models 

    Michalopoulos, Georgios (University of Waterloo, 2022-08-03)
    The digital transformation of our society is creating a tremendous amount of data at an unprecedented rate. A large part of this data is in unstructured text format. While enjoying the benefit of instantaneous data access, ...
  • Jets, Vortices and Turbulence in Quasi-Geostrophic Magnetohydrodynamics 

    Tessier, Jonathan (University of Waterloo, 2022-07-28)
    In this thesis, we model the dynamics of the solar tachocline and the Earth's molten core using a shallow, rapidly rotating, and electrically conducting fluid on an f-plane. We explore the effects of a strong uniform ...
  • Stochastic Minimum Norm Combinatorial Optimization 

    Ibrahimpur, Sharat (University of Waterloo, 2022-07-28)
    Motivated by growing interest in optimization under uncertainty, we undertake a systematic study of designing approximation algorithms for a wide class of 1-stage stochastic-optimization problems with norm-based objective ...
  • On Amenability Properties and Coideals of Quantum Groups 

    Anderson-Sackaney, Benjamin (University of Waterloo, 2022-07-27)
    We study amenability type properties of locally compact quantum groups and subobjects of quantum groups realized as submodules of their von Neumann algebras. An important class of such subobjects are the coideals, which ...
  • Multimodal spoofing and adversarial examples countermeasure for speaker verification 

    Ramesh, Karthik (University of Waterloo, 2022-07-26)
    Authentication mechanisms have always been prevalent in our society — even as far back as Ancient Mesopotamia in the form of seals. Since the advent of the digital age, the need for a good digital authentication technique ...
  • Complexity of Sublinear Algorithms for Convexity in Higher Dimensions 

    Bommireddi, Venkata Abhinav (University of Waterloo, 2022-07-19)
    Convexity plays a prominent role in both mathematics and computer science. It is defined for sets and functions, and many related problems can be solved efficiently if the set/function is convex. In this thesis, we focus ...
  • Adaptive User Authentication on Mobile Devices 

    Chen, Jiayi (University of Waterloo, 2022-07-19)
    Modern mobile devices allow users to access various applications and services anywhere. However, high mobility also exposes mobile devices to device loss, unauthorized access, and many other risks. Existing studies have ...
  • Data Depth Inference for Difficult Data 

    Ramsay, Kelly (University of Waterloo, 2022-07-18)
    We explore various ways in which a robust, nonparametric statistical tool, the data depth function can be used to conduct inference on data which could be described as difficult. This can include data which are difficult ...
  • Towards Effective Measurement of Membership Privacy Risk for Machine Learning Models 

    Duddu, Vasisht (University of Waterloo, 2022-07-18)
    Machine learning (ML) models are trained on data which can be sensitive. Membership inference attacks (MIAs) infer whether a particular data record was used to train an ML model. This violates the membership privacy of an ...

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