Master's defences

Winter 2023

• April 6: Delaney Smith, Mathematical Modelling of the Intrarenal Renin Angiotensin System in Hypertension
• January 19: Thanin Quartz, Data-Driven Methods for System Identification and Lyapunov Stability
• January 6: Brian Mao, Road Surface Estimation Using Machine Learning

Fall 2022

• December 8: Funmilayo Adeku, Sensitivity of the Thermal Structure and Circulation Patterns of a Simple Idealized Lake and Lake Erie to External Driving Forces
• December 8: Darian Mclaren, On the evaluation of quantum instruments with a consideration to measurements in trapped ion systems
• December 8: Dorsa Sadat Hosseini KHajouei, From Astrophysics of Galaxies to Binary Black Hole Mergers: Theoretical Modelling of the Gravitational-Wave Bias Parameter
• November 2: Iyi Oluyemi, Almost-Sure Stability of a Noisy Autoparametric Vibration Absorber
• September 20: Kevin Siu, Modelling Subglacial Hydrology under Future Climate Scenarios in Wilkes Subglacial Basin, Antarctica
• September 14: María Rosa Preciado Rivas, Theoretical Description of the Forces on a Point Charge Moving Parallel to a Supported Two-dimensional Material
• September 13: Andrew Bernakevitch, Examination of Parametric Subharmonic Instability of K₁ Internal Tides Generated by Tidal Flow over a Ridge

Spring 2022

• August 12: Dylan Ruth, Examining the consistency between subglacial hydrology and basal friction inversion modeling for Slessor Glacier, East Antarctica
• August 12: Daniel Hogg, High-Resolution Analysis of Snow Albedo Interactions in the Arctic
• July 27, Aiden Huffman, Boundary Bound Reactions: Pattern Formation With and Without Hydrodynamics
• July 22: Jonathan Tessier, Jets, Vortices and Turbulence in Quasi-Geostrophic Magnetohydrodynamics

Winter 2022

• May 4: Nicholas Richardson, A Sparse Random Feature Model for Signal Decomposition
• May 3: Melissa Stadt, Mathematical Modeling of Kidney Function During Pregnancy
• May 2: Duy Nguyen, Some Mathematical Perspectives of Graph Neural Networks
• April 22: Nico Castro-Folker, Three-dimensional Simulations of an Internal Solitary Wave Shoaling Over a Shallow Slope
• April 20: Aaron Baier-Reinio, Numerical analysis of divergence-free discontinuous Galerkin methods for incompressible flow problems
• January 10: William Bell, Mathematical Models of Mitochondria in the Kidney and Liver

Fall 2021

• December 10: Mohamed Ayman El Mandouh, Analysis of Light-Matter Systems
• December 6: Fei Liu, Optimal Locations of Sensors and Actuators for Control of a Pedestrian Bridge

Spring 2021

• August 11: Taylor Hanson, Under-Ice Fluid Dynamics in Freshwater Lakes: Implications for Ecology in a Changing Climate
• August 6: Dinesh Siewnarine, A Comparative and Exploratory Study of Homogeneous and Inhomogeneous Stratified Turbulence
• August 5: Tim Hill, Mathematical modelling of supraglacial meltwater production and drainage
• July 30: Jungjoon (Leo) Kim, Spectrum of Cuscuton Bounce and Cosmological Parameter Inference Using Dark Sirens
• May 11: Isaiah Naveed Farahbakhsh, Modeling human-coupled common pool resource systems with techniques in evolutionary game theory and reinforcement learning
• May 6: Joshua Skanes-Norman, On Realistic Errors in Quantum Computers

Winter 2021 

• April 30: Kyle Booker, H(div)-conforming Discontinuous Galerkin Methods for Multiphase Flow
• March 19: Andrew Stasiuk, Computational and Theoretical Insights into Multi-Body Quantum Systems 
• January 27: Zhibing Sun, Control of Non-deterministic Transition Systems for Linear Temporal Logic Specifications

 Spring 2020

•  May 26: G M (Ashik) Rahman, Numerical Simulation of Nonlinear and Dispersive Wave Equations using Adaptive Mesh Refinement (AMR)

 Fall 2019

• December 13: Tim Dockhorn, Generative Modeling with Neural Ordinary Differential Equations
• October 10: Yukun Zhao, Application of the LANS-alpha Model to Gravity Currents
• September 9: Ming Miao, Monte Carlo Simulation of Diusion Magnetic Resonance Imaging

Spring 2019

• August 9: Rishiraj Chakraborty, Particle Clustering and Sub-clustering as a Proxy for Mixing in Geophysical Flows
• August 8: Jesse Legaspi, Prandtl number dependence of stratified turbulence
• August 7: Maliha Ahmed, Model for a cortical circuit associated with childhood absence epilepsy
• July 29: Cameron Meaney, Mathematical Modelling of Cancer Treatments Involving Radiation Therapy and Hypoxia-Activated Prodrugs
• July 18: Kate Clements, Black Hole to White Hole Quantum Tunnelling
• May 17: Stanislav Zonov, Burgers Sensor Placement

Winter 2019

• April 23: Fabian Germ, Estimation for Linear and Semi-linear Infinite-dimensional Systems
• April 1: Jaron Huq, Three Results in Quantum Physics
• January 16: Maria Papageorgiou, Impacts of relativity on localizability and vacuum entanglement
• January 11: Lauren Burnett, Wave Refraction Effects in High Intensity Focused Ultrasound

Fall 2018

• December 14: Kwan Tsaan Lai, Sensitivity of Idealized Squall Line Simulation to Resolution and Subgrid Turbulence Mixing
• December 12: Jonathan Drake, An Integral Projection Model for Giant Hogweed
• December 6: Emma McKay, Shape & cutoff in superconducting qubits, work fluctuations in correlation creation,
  & critical commentary
• December 6: Laura Chandler, Numerical Modelling of Wind Storms in the Lower Great Lakes
• September 11: Jonathan Horrocks, Sparse Identification of Epidemiological Models from Empirical Data

Spring 2018

• August 20: Jia Ding, Quantum Indefinite Spacetime: Part II
• August 17: Sarah Hyatt, Influence of the Atlantic Multidecadal Variability on the climate response to external forcing
• August 10: Luc Larocque, Kinodynamic Planning with mu-Calculus Specifications
• August 1: Heming Wang, A Novel Diffusion-based Empirical Mode Decomposition Algorithm for Signal and Image Analysis
• July 26: Andrew Grace, Direct Numerical Simulations of the Degeneration and Shear Instability of Large and Small Amplitude Basin Scale Internal Waves at Varied Aspect Ratios
• July 18: Adam Morgan, Finite Element Exterior Calculus with Applications to the Numerical Solution of the Green-Naghdi Equations
• April 13: Khalida Parveen, Explicit Runge-Kutta time-stepping with the discontinuous Galerkin method

Fall 2017

• December 11: Robert Gooding-Townsend, The forest transition and ecological thresholds: resilience, recovery, and predictions
• September 11: Christian Ogbonna, Non-linear Interactions between Internal Wave Beams: Beyond the Traditional Approximation
• September 6: Hyungjin Kim, The Early Universe: New aspects of Cuscuton Theory, Modified Dispersion Relations and Pulsar Constraints on Vacuum Noise
• September 6: Paul Tiede, The Relation between Polygonal Gravity and 3D Loop Quantum Gravity

Spring 2017

• August 10: Matthew Ambacher, Normal Mode Wave-Vortex Decompositions of Mesoscale Simulations
• August 9: Anthony Caterini, A Novel Mathematical Framework for the Analysis of Neural Networks
• July 19: Shawn Corvec, A modelling investigation into the impacts of the convective parameterization on the tropical circulation

Winter 2017

• January 6: An Zhou, Structured Reverse Mode Automatic Differentiation in Nested Monte Carlo Simulations

Fall 2016

• December 15: Guillaume Verdon-Akzam, Probing Quantum Fields: Measurements and Quantum Energy Teleportation 
• December 14: Lorena Cid-Montiel, Existence and uniqueness of attracting slow manifolds: An application of the Ważewski principle
• September 13: Joanna Boneng, Infectious Disease Modeling with Interpersonal Contact Patterns as a Heterogeneous Network 
• September 8: Demetri Pananos, Early Warning Signals of Vaccine Scares

Spring 2016

• August 25: Erik Maki, Iterated Function Systems with Place-Dependent Probabilities and the Inverse Problem of Measure Approximation Using Moments
• August 19: Aaron Coutino, Halocline mixing due to heavy rainfall in the cenote's of the Yucatan Peninsula
• August 17: Cesar Ramirez Ibanez, Stability of Nonlinear FunctionaL Differential Equations by Contraction Mapping Principle
• August 10: Michael Hynes, A Taylor polynomial expansion line search for large-scale optimization
• August 4: David Layden, Indirect Quantum Control: An Implementation-Independent Scheme
• August 4: Brian Fernandes, Modeling Photoluminescence Decay Dynamics in Nanocrystals
• July 27: Hanzhe Chen, Floating Bodies with Surface Tension
• July 22: Minxin Zhang, Infinite-dimensional Kalman Filtering and Sensor Placement Problem
• July 21: Justin Shaw, A Model for Shear Response in Swimming Plankton
• April 25: Sandhya Harnanan, Internal Wave Interaction with Broad Topography in the Presence of a Near-Bottom Stratification
• April 22: Alex Ashbourne, Efficient Runge-Kutta Based Local Time-Stepping Methods

Fall 2015

• December 7: Tian Qiao, Design of Tubular Network Systems Using Circle Packing and Discrete Optimization
• November 12: Sumit Sijher, Topological Quantum Computation and Protected gates
• September 3: Jason Pye, Locality of Information in Bandlimited Quantum Field Theory

Spring 2015

• August 10: Marie Barnhill, Extensions of Randomized Benchmarking
• August 6: Wenzhe Jiang, Construction of Optimal Tubular Networks in Arbitrary Regions in R^3
• July 29 : Tawsif Khan, Optimal Sensor Location for the Estimation of a Linear Dispersive Wave Equation
• July 17: Shaun Sawyer, Gain-Scheduled Control of a Quadcopter UAV
• May 4: Seyed Ali Madani Tonekaboni, Quantitative Approaches to the Cancer Stem Cell Hypothesis

Winter 2015

• April 29: Naijing Kang: Green's Function for Poisson Equation in Layered Nano-Structures including Graphene
• April 8: Chengzhu (William) Xu, Numerical Simulations of Shoaling Internal Solitary Waves of Elevation

Fall 2014

• December 19: Brandon May, A Hybrid Cellular Automata Model for the Role of Reactive Oxygen Species in Novel Tumour Treatment Strategies

• December 10: James Sandham, Spectral Energy Balance in Convective Boundary Layers

• September 12: Oleg Kabernik, Quantum Reference Frames and The Poincaré Symmetry

• September 9: Anson Maitland, A First Taste of Quantum Gravity Effects: Deforming Momentum with the Heisenberg Double

Spring 2014

• August 13: Jason Boisselle, Port-based teleportation of continuous quantum variables
• August 7: Eric Bembenek, Realizing Surface Driven Flows in the Primitive Equations
• August 1: Keenan Lyon, Analysis of Plasmons Sustained on the Surface of Graphene
• July 31: Abdulhamed Alsisi, Quasi-Static Approximation for Numerical Computation of Plasmon Eiegenfrequancies in Nanoparticles
• July 28: Junyu Lai, Implementations of iterative algorithms in Hadoop and Spark
• June 18: Robert Irwin, The Instability of Mesoscale Jets in an Idealized Two-Layer Model

Winter 2014

• April 25: John Ladan, An Analysis of Stockwell Transforms with Applications to Signal/Image Processing
• April 24: Arman Tavakoli, H₂-Optimal Sensor Location
• April 23: Yangxin He, Modelling Internal Solitary Waves and the Alternative Ostrovsky Equation
• April 21: Daniel Puzzuoli, Honest Approximations to Realistic Fault Models and Their Application to Efficient Simulation of Quantum Error Correction
• March 13: Krishan Rajaratnam, Orthogonal separation of the Hamilton-Jacobi equation on Spaces of Constant Curvature

Fall 2013

• December 6: Luke Bovard, Short-Wave Vortex Instabilities in Stratified Flow
• September 17: Mikhail Panine, Explorations of Infinitesimal Inverse Spectral Geometry
• September 4: Remziye Karabekmez, Modeling of Cancer Signaling Pathways

Spring 2013

• August 9: Rastko Anicic, Effects of the Dielectric Environment on the Electrical Properties of Graphene
• August 19: Aidan Chatwin-Davies, A Covariant Natural Ultraviolet Cutoff in Inflationary Cosmology
• July 25: Victor Veitch, Negative Quasi-Probability in the Context of Quantum Computation
• July 4: Shyamila Perera, Mathematical Modeling and Numerical Simulation of Marine Ecosystems
• July 9: Jason Olsthoorn, Impact of Internal Solitary Waves on the Nutrient Circulation System

Fall 2012

• April 10: Marty Fuhry, An Implementation of the Discontinuous Galerkin Method on Graphics Processing Units

• December 20: Janelle Resch, Nonlinear Wave Propagation in Brass Instruments

• September 28: Jonathan Murley, The two-space homogenization method in poroelastic media