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

  • Microswimmer Propulsion by Two Steadily Rotating Helical Flagella 

    Shum, Henry (MDPI, 2019-01-01)
    Many theoretical studies of bacterial locomotion adopt a simple model for the organism consisting of a spheroidal cell body and a single corkscrew-shaped flagellum that rotates to propel the body forward. Motivated by ...
  • The effects of flagellar hook compliance on motility of monotrichous bacteria: A modeling study 

    Shum, H.; Gaffney, E. A. (AIP Publishing, 2012-06)
    A crucial structure in the motility of flagellated bacteria is the hook, which connects the flagellum filament to the motor in the cell body. Early mathematical models of swimming bacteria assume that the helically shaped ...
  • Harnessing surface-bound enzymatic reactions to organize microcapsules in solution 

    Shklyaev, Oleg E.; Shum, Henry; Sen, Ayusman; Balazs, Anna C. (American Association for the Advancement of Science (AAAS), 2016-03)
    By developing new computational models, we examine how enzymatic reactions on an underlying surface can be harnessed to direct the motion and organization of reagent-laden microcapsules in a fluid-filled microchannel. In ...
  • Harnessing catalytic pumps for directional delivery of microparticles in microchambers 

    Das, Sambeeta; Shklyaev, Oleg E.; Altemose, Alicia; Shum, Henry; Ortiz-Rivera, Isamar; Valdez, Lyanne; Mallouk, Thomas E.; Balazs, Anna C.; Sen, Ayusman (Springer Nature, 2017-02-17)
    The directed transport of microparticles in microfluidic devices is vital for efficient bioassays and fabrication of complex microstructures. There remains, however, a need for methods to propel and steer microscopic cargo ...
  • Convective flow reversal in self-powered enzyme micropumps 

    Ortiz-Rivera, Isamar; Shum, Henry; Agrawal, Arjun; Sen, Ayusman; Balazs, Anna C. (Proceedings of the National Academy of Sciences, 2016-02-22)
    Surface-bound enzymes can act as pumps that drive large-scale fluid flows in the presence of their substrates or promoters. Thus, enzymatic catalysis can be harnessed for "on demand" pumping in nano-and microfluidic devices ...
  • Synthetic quorum sensing in model microcapsule colonies 

    Shum, Henry; Balazs, Anna C. (Proceedings of the National Academy of Sciences, 2017-07-24)
    Biological quorum sensing refers to the ability of cells to gauge their population density and collectively initiate a new behavior once a critical density is reached. Designing synthetic materials systems that exhibit ...
  • Formal Methods in Quantum Circuit Design 

    Amy, Matthew (University of Waterloo, 2019-02-26)
    The design and compilation of correct, efficient quantum circuits is integral to the future operation of quantum computers. This thesis makes contributions to the problems of optimizing and verifying quantum circuits, with ...
  • An Analysis on The Network Structure of Influential Communities in Twitter 

    Schunk, Adam (University of Waterloo, 2019-02-21)
    Over the past years online social networks have become a major target for marketing strategies, generating a need for methods to efficiently spread information through these networks. Close knit communities have developed ...
  • Detecting Vulnerable JavaScript Libraries in Hybrid Android Applications 

    Volodin, Nikita (University of Waterloo, 2019-02-15)
    Smartphone devices are very popular. There are a lot of devices being sold, a lot of applications that are created and a lot of people using those applications. However, mobile applications could only be created in the ...
  • An Integral Projection Model for Giant Hogweed 

    Drake, Jonathan Peter (University of Waterloo, 2019-02-04)
    In this thesis I investigate the impact that the choice of model may have on predictions of giant hogweed population dynamics. It has been shown in two case studies that population growth rates predicted by matrix population ...
  • Applications of Artificial Intelligence to the NHL Entry Draft 

    Alcox, Brandon (University of Waterloo, 2019-01-31)
    This thesis investigates the application of various fields of artificial intelligence to the domain of sports management and analysis. The research in this thesis is primarily focussed on the entry draft for the National ...
  • Bounds on Maximum Matchings in 1-Planar Graphs 

    Wittnebel, John (University of Waterloo, 2019-01-29)
    In this thesis, we study lower bounds on maximum matchings in 1-planar graphs. We expand upon the tools used for proofs of matching bounds in other classes of graphs as well as some original ideas in order to find these ...
  • What is a field, what is a particle?...what about algebras? 

    Papageorgiou, Maria-Eftychia (University of Waterloo, 2019-01-25)
    Much of the structure of quantum field theory (QFT) is predicated on the principle of locality. Adherence to locality is achieved in Algebraic QFT (AQFT) by the association of algebras of observables with regions of ...
  • Dash: Declarative Behavioural Modelling in Alloy 

    Serna, Jose (University of Waterloo, 2019-01-25)
    An abstract model is a representation of the fundamental characteristics and properties of a system, and its purpose is to provide feedback to stakeholders about the correctness of the system during the early stages of ...
  • Sensitivity of Idealized Squall Line Simulation to Resolution and Subgrid Turbulence Mixing 

    Lai, Kwan (University of Waterloo, 2019-01-23)
    In this project, the sensitivity of idealized squall line simulations to horizontal grid spacing and turbulent mixing parameterization will be discussed. Inconsistent results from numerical simulations of convective ...
  • A computational study of practical issues arising in short-term scheduling of a multipurpose facility 

    Stevenson, Zachariah (University of Waterloo, 2019-01-23)
    This thesis focuses on two important considerations when solving short term scheduling problems for multipurpose facilities: deciding when rescheduling should be performed and choosing efficient time representations for ...
  • On the Extrema of Functions in the Takagi Class 

    Han, Xiyue (University of Waterloo, 2019-01-23)
    The Takagi class is a class of fractal functions on the unit interval generalizing the celebrated Takagi function. In this thesis, we study the extrema of these functions. This is a problem that goes back to J.-P. Kahane ...
  • The Logarithmic Derivative and Model-Theoretic Analysability in Differentially Closed Fields 

    Jin, Ruizhang (University of Waterloo, 2019-01-22)
    This thesis deals with internal and analysable types, mainly in the context of the stable theory of differentially closed fields. Two main problems are dealt with: the construction of types analysable in the constants with ...
  • Gradual C Programming for Typed Lua 

    Turas, Rafi (University of Waterloo, 2019-01-22)
    The work presented in this thesis deals with the problem of enhancing the performance of dynamically-typed programming languages by integrating features from statically-typed programming languages. Statically-typed languages ...
  • Wave Refraction Effects in High Intensity Focused Ultrasound 

    Burnett, Lauren (University of Waterloo, 2019-01-22)
    High-Intensity Focused Ultrasound (HIFU) is a promising field of research being developed as an alternative to surgery and radiation therapy for the treatment of tumours. Within this field, many current methods of ...

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