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

  • On the Excluded Minors for Dyadic Matroids 

    Wong, Chung-Yin (University of Waterloo, 2019-01-17)
    The study of the class of dyadic matroids, the matroids representable over both $GF(3)$ and $GF(5)$, is a natural step to finding the excluded minors for $GF(5)$-representability. In this thesis we characterize the ternary ...
  • Split Cuts From Sparse Disjunctions 

    Yang, Shenghao (University of Waterloo, 2019-01-16)
    Cutting planes are one of the major techniques used in solving Mixed-Integer Linear Programming (MIP) models. Various types of cuts have long been exploited by MIP solvers, leading to state-of-the-art performance in practice. ...
  • UNiS: A User-space Non-intrusive Workflow-aware Virtual Network Function Scheduler 

    Anthony, Anthony (University of Waterloo, 2019-01-16)
    Network Function Virtualization (NFV) has gained a significant research interest in both academia and industry since its inception in the late 2012. One of the key research issues in NFV is the development of systems for ...
  • Optimal investment-reinsurance strategies with state dependent risk aversion and VaR constraints in correlated markets 

    Bi, Junna; Cai, Jun (Elsevier, 2019-03)
    In this paper, we investigate the optimal time-consistent investment–reinsurance strategies for an insurer with state dependent risk aversion and Value-at-Risk (VaR) constraints. The insurer can purchase proportional ...
  • User-Controlled Computations in Untrusted Computing Environments 

    Vinayagamurthy, Dhinakaran (University of Waterloo, 2019-01-15)
    Computing infrastructures are challenging and expensive to maintain. This led to the growth of cloud computing with users renting computing resources from centralized cloud providers. There is also a recent promise in ...
  • Qualitative Properties of Hybrid Singular Systems 

    Kiyak, Humeyra (University of Waterloo, 2019-01-15)
    A singular system model is mathematically formulated as a set of coupled differential and algebraic equations. Singular systems, also referred to as descriptor or differential algebraic systems, have extensive applications ...
  • Matrix analytic methods for computations in risk theory 

    Kim, Sung Soo (University of Waterloo, 2019-01-15)
    The introduction of matrix analytic methods in risk theory has marked a significant progress in computations in risk theory. Matrix analytic methods have proven to be powerful computational tools for numerically analyzing ...
  • Budget-constrained optimal insurance without the nonnegativity constraint on indemnities 

    Ghossoub, Mario (Elsevier, 2019-01)
    In a problem of Pareto-efficient insurance contracting (bilateral risk sharing) with expected-utility preferences, Gollier (1987) relaxes the nonnegativity constraint on indemnities and argues that the existence of a ...
  • Automating Programming Assignment Marking with AST Analysis 

    Li, Sichuang (University of Waterloo, 2019-01-14)
    This thesis presents a novel approach to automatically mark programming assignments. We hypothesize that correct student solution ASTs will be more similar to reference solution ASTs than incorrect student solutions and ...
  • Edge State Transfer 

    Chen, Qiuting (University of Waterloo, 2019-01-11)
    Let G be a graph and let t be a positive real number. Then the evolution of the continuous quantum walk defined on G is described by the transition matrix U(t)=exp(itH).The matrix H is called Hamiltonian. So far the most ...
  • Marginal Causal Sub-Group Analysis with Incomplete Covariate Data 

    Cuerden, Meaghan (University of Waterloo, 2019-01-11)
    Incomplete data arises frequently in health research studies designed to investigate the causal relationship between a treatment or exposure, and a response of interest. Statistical methods for conditional causal effect ...
  • Dimensionality Reduction of the Chemical Master Equation 

    Kathanaruparambil Sukumaran, Midhun (University of Waterloo, 2019-01-11)
    The dynamics of biochemical systems show significant variability when the reactant populations are small. Standard approaches via deterministic modeling exclude such variability. A well established stochastic model, the ...
  • Quantum Walks on Oriented Graphs 

    Lato, Sabrina (University of Waterloo, 2019-01-11)
    This thesis extends results about periodicity and perfect state transfer to oriented graphs. We prove that if a vertex a is periodic, then elements of the eigenvalue support lie in Z √∆ for some squarefree negative ...
  • Protein Structure Elastic Network Models and the Rank 3 Positive Semidefinite Matrix Manifold 

    Li, Xiao-Bo (University of Waterloo, 2019-01-09)
    This thesis is a contribution to the study of protein dynamics using elastic network models (ENMs). An ENM is an abstraction of a protein structure where inter-atomic interactions are assumed to be modelled by a Hookean ...
  • An Affine Semi-Lagrangian Advection Method 

    Marcoux-Ouellet, Jade (University of Waterloo, 2019-01-08)
    In computer graphics, the standard semi-Lagrangian advection as in the work of Stam (1999) is a widespread unconditionally stable transport scheme used in incompressible fluid solvers. Due to its stability, which disconnects ...
  • Numerical Modelling of Wind Storms in the Lower Great Lakes 

    Chandler, Laura (University of Waterloo, 2019-01-07)
    Convective storms are incredible meteorological events; the impact of just one storm can be extreme and widespread. On July 21 1998, a convective storm formed west of Lake Michigan, moving quickly across the lower Great ...
  • Development and Application of Models and Diagnostics for Geophysical Fluid Flows 

    Storer, Benjamin (University of Waterloo, 2019-01-07)
    This thesis presents the development and application of numerical tools for simulating and diagnosing quasi-geostrophic fluid systems. In this thesis we present a new numerical model called SPIQG that is pseudo-spectral ...
  • Aggregation of Heterogeneous Anomaly Detectors for Cyber-Physical Systems 

    Dunne, Murray (University of Waterloo, 2019-01-07)
    Distributed, life-critical systems that bridge the gap between software and hardware are becoming an integral part of our everyday lives. From autonomous cars to smart electrical grids, such cyber-physical systems will ...
  • Causal Inference with Recurrent Data via Propensity Score Methods 

    Liang, Haodi (University of Waterloo, 2019-01-07)
    Propensity score methods are increasingly being used to reduce estimation bias of treatment effects for observational studies. Previous research has shown that propensity score methods consistently estimate the marginal ...
  • Compressions of Compact Tuples 

    Passer, Benjamin; Shalit, Orr (Elsevier, 2019-03-01)
    We study the matrix range of a tuple of compact operators on a Hilbert space and examine the notions of minimal, nonsingular, and fully compressed tuples. In this pursuit, we refine previous results by characterizing ...

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