Master's defences

Winter 2025

January 10: Kaixin Zheng, Mathematical Models of Kidney Function: Effects of Hypertension and Circadian Rhythm
January 8: Boris Ragula, Numerical Evolution of Correlation Functions With Applications to Dynamically Localized Quantum Fields

Fall 2024

December 16: Adam Smith, Some Results on the Convergence of Anderson Acceleration
December 6: Hanna Derets, Finite Automata Models: Algorithm, Application, and Semigroup Study
September 10: Zhongyu Xie, Continuous-Galerkin Summation-by-Parts Discretization of the Khokhlov-Zabolotskaya-Kuznetsov Equation with Application to High-Intensity-Focused Ultrasound

Spring 2024

August 14: Panos Vlachos, Degenerate Parabolic Diffusion Equations: Theory and Applications in Climatology
July 26: Sonja Cotra, Systems biology models for cancer immunotherapy
July 22: Nat Kendal-Freedman, Analyzing Bacterial Conjugation with Graphical Models: A Model Comparison Approach
July 10: Sierra Legare, Reactive Tracers in Turbulence Models
July 4: Joseph Poulin, Exponential Stability of Maxwell's Equations
June 14: Haocheng Chang, Stability Analysis and Formally Guaranteed Tracking Control of Quadrotors
June 14: Omer Ege Kara, On Enabling Layer-Parallelism for Graph Neural Networks using IMEX Integration
June 11: Alex Kirillova, Blackbox Optimization for Free-space Quantum Key Distribution

Winter 2024

January 24: Mackenzie Cameron, Spatial and Temporal Discounting in a Social-Climate Model
January 9: Ben Simpson, Entropy-Stable Positivity-Preserving Schemes for Multiphase Flows

Fall 2023

December 18: Sounak Majumder, Optimal trajectory calculation using neural networks
October 25: Michael Willette, Modelling the Subglacial Hydrology of Trinity-Wykeham Glaciers of the Northern Canadian Arctic

Spring 2023

August 28: Adam Winick, Theory and Mitigation of Crosstalk on Quantum Information Processors
August 24: Kaiwen Jiang, Mathematical Modeling of the Vaporization of Encapsulated Perfluorocarbon Nanodroplets Using Chirp Ultrasound
August 11: Amelia Kunze, An investigation of the use of gradients in imaging, including best approximation and the Structural Similarity image quality measure
July 10: Akihiro Takigawa, A comparison of the Kalman filter and recurrent neural networks for state estimation of dynamical systems
May 8: Shervin Hakimi, Calcium Transport and Regulation in Male and Female Rat Kidney

Winter 2023

April 24: Zhuqing Li, Turnpike property for generalized Linear-Quadratic optimal control problem
April 19: Martin Diaz Robles, Predictability of Stratified Turbulence
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