USRA Recipitents
Student Name 
Supervisor Name 
Year/Program 
Research Project 


Summer 2017


Dawson, Jeffrey

Anstee, Richard

2nd / BSc

Multivalued Matrices and Forbidden Configurations

Engelbrecht, C. Thiabuad

Pramanik, Malabika

2nd / BSc

Properties of the Convolution Operator Generated by the Cantor Measure

Fajeau, Emma

Fraser, Ailana

5th / BASc

Minimal Surfaces

Han, Rachel

MacDonald, Colin

4th / BSc

Computing Shape DNA using the Closest Point Method

Li, Jinhui

Reichstein, Zinovy

3rd / BSc

Simplifying Polynomials of Degree 5 by Tschirnhaus Transformation

Muglich, Darius

Coombs, Dan

2nd / BSc

Using Mixture Density Networks to Emulate Complex IndividualBased Models in Inference

Muller, Tommi

Coombs, Dan

2nd / BSc

Embarrassingly Parallel Analysis of T Immune Cell Surface Receptors

Nam, Taeuk

L. Silberman/A. Segal

1st / BSc

Decomposition of Principle Series Representations via Elementary Methods

Salazar, Snatiago

Reichstein, Zinovy

3rd / BSc

Generators of Etale Algebras

She, Adrian

S. van Wiligenburg/S. Dahlberg

3rd / BSc

Positivity of the Chromatic Symmetric Function

Tan, Cindy

Keshet, Leah

1st / BASc

Cell Cluster Analysis and Neighbour Detection

Zhang, MoHan

Keshet, Leah

3rd / BSc

Simulating the Interactions and Migration of Multicellular Tissues and Synthetic Image Generation







Summer 2016


Bower, Kyle

Cytrynbaum, Eric
 4th / BSc
 Dynamics of Min
Protein System

Chang,Ben(Chien Pin)

Martin, Greg 
4th / BSc 
Statistics of Multiplicative Groups

Chappell, Rhys

Coombs, Dan 
3rd / BSc 
Analysis of B
Lymphocyte Surface Receptor Mobility and Behaviour

Chen, Hong
Zhe(Vincent) 
Praminik, Malabika 
3rd / BSc 
Trading roles of
Position and direction in Kaeya Sets and Finite
Field Kakeya Sets in Euclidean set Neighbourhoods

Dawydiak, Stefan 
Gordon, Julia 
4th / BSc 
Matrix Coefficients of
Linear Connected reductive Groups and
Constructibility

Lee, Darrick 
Keshet, Leah 
5th / APSc 
MorphologyBased Cell
Classification

Merchant, Brian 
Feng, James 
2nd / BSc 
A Rho GTPase Based
Multi Cellular Model Explains Spontaneous
Directional Migration of Neural Crest Cell Groups

Raina, Arman 
Rechnitzer, Andrew 
3rd / BSc 
The Hard Square
Constraint

Salazar, Santiago 
Anstee, Richard 
3rd / BSc 
Forbidden Berge Hypergraphs

She, Adrian KingHei 
Marcus, Brian 
3rd / BSc 
Hard Square Constraint

Small, Timothy

Keshet, Leah

4th / BSc

Quasi SteadyState
Reduction of Nonlinear PDE Models of Cellular
Systems & Turing Analysis on SteadyState
Formation

Zheng, Da Wei(David)

Coombs, Daniel

3rd / BSc

Super Resolution Cluster Analysis







Summer 2015


Allman, Maxwell 
Bluman, George 
2nd / BSc 
Symmetry Methods for Differential Equations

Bach, Eviatar 
Keshet, Leah 
3rd / BSc 
Extending the CHASTE simulation library, comparing vertex
dynamics and cellular Potts model 
Blackner, Reily 
Frigaard, Ian 
3rd / BASc 
Displacement of Shear Thinning Fluids 
Fallahi, Farzad 
Anstee, Richard 
3rd / BSc 
Families of Forbidden Configurations

Lee, Darrick 
Rolfsen, Dale 
4th / BASc 
LeftOrderability, Branched Covers and Representations

Louie, Christopher 
Cytrynbaum, Eric 
4th/ BSc 
Simulations Min Proteins

Simpson, Reginald 
Gordon, Julia 
4th / BSc 
The Congruence Class of X in Quotients of Polynomial
Rings of Integers, and Linear Recursive
Sequences

Small, Timothy 
Keshet, Leah 
3rd / BSc 
Using Quasi SteadyState Approximation Methods
to Analyze a Nonlinear Biological Motor
Transport System

Sung, Ki Woong 
Coombs, Dan 
3rd / BSc 
Cluster Analysis of Super Resolution
Fluorescence Images

Tom, Foster 
Pramanik, Malabika 
3rd / BSc 
Sets Avoiding Images of a Given Sequence




Winter 2015


Ward, Matthew 
Frigaard, Ian 
2nd / BASc 
Gas Migration in Viscoplastic Fluids 



Summer 2014


Allman, Maxwell 
Anstee, Richard 
1st / BSc 
Families of Forbidden Configurations 
BrandtsLongtin, Alex 
Silberman, Lior 
2nd / BSc
(Ottawa) 
Topology of Modular Links 
Dauvergne, Duncan 
EdelsteinKeshet, Leah 
4th / BSc 
PDE Models of Molecular Motors 
Finlay, Deshin 
Reichstein, Zinovy /
Bluman, George 
4th / BSc 
Using
Lie Algebra Properties and Differential
Equations to Solve Equations in Lie Groups 
Lindfield Roberts,
Quentin 
Frigaard, Ian /
Alba, Kamran 
2nd / BASc
(UBCO) 
Complex
Fluid Invasion Experimentation and Apparatus
Design 
Miao, Wen Ling
(Winnie) 
Martin, Greg 
1st / BASc 
abc
Triples 
Theriault, Alec 
Peirce, Anthony 
2nd / BSc 
Novel
Approximation Schemes to Model Hydraulic
Fracture 
Thrasher, Samuel 
Gustafson, Stephen 
2nd / BSc 
Stability
of Solitons 
Tom, Foster 
Silberman, Lior 
2nd / BSc 
Eigenfunctions
of the Laplacian on Triangles 
Tyhurst, Emily 
Karu, Kalle /
Leung, FokShuen 
1st / BSc 
Spiderwire:
Visualizing Calculus 
Wamer, Kyle 
Gustafson, Stephen 
2nd / Arts&Sci
(Toronto) 
Stability
of Solitons 
Zhu, Yi Hang (Ian) 
Coombs, Daniel 
2nd / BSc 
Hindering
Malaria Spread with a Fungus 



Summer 2013


Asgarli, Shamil 
Ramdorai, Sujatha /
Gordon, Julia 
3rd / BSc 
Resolution
of Singularities and Toric Varieties 
Byrne, Catherine 
Hauert, Christoph /
Maciejewski, Wes 
4th / Arts&Sci
(Queen's) 
Evolutionary
Symmetries in Populations Undergoing Moran
Processes 
Dong, Xiao Han
(Steven) 
Frigaard, Ian 
3rd / BASc 
NonNewtonian
Fluid Flow 
Fadai, Nabil 
Ward, Michael 
4th / BSc 
The
Influence of Delay in Gene Expression Models and
Their Associated Nonlocal Eigenvalue Problems 
Finlay, Deshin 
Perkins, Edwin /
Barlow, Martin 
3rd / BSc 
Percolation
and Contact Process Through Invasion Methods 
Gosselin, Alexander 
Frigaard, Ian 
3rd / BASc 
Pipe
and Channel Flows of NonNewtonian Fluids 
Harrington, Peter 
Hauert, Christoph /
Maciejewski, Wes 
3rd / BSc 
The
Effects of Spatial Dimensions in 2x2 Games 
Liu, Jiashuo (Josh) 
Silberman, Lior 
3rd / Arts
(Rochester) 
Primality
Testing and Factorization of Polynomials 
Lou, Wei Yuan
(William) 
Feng, James 
4th / BASc 
Modelling
Dorsal Closure Process of the Fruit Fly via
Coupled ODEs 
Naylor, Geoffrey 
Rolfsen, Dale 
4th / BSc 
Orderability
of Knot Groups 
Smith, Christopher 
Adem, Alejandro 
3rd / BA 
Free
Finite Group Actions on Riemann Surfaces 
Tom, Foster 
Anstee, Richard 
1st / BSc 
Forbidden
Submatrices and Configurations 



Summer 2012


Asgarli, Shamil 
Angel, Omer /
Silberman, Lior 
2nd / BSc 
Random
Quadrangulations 
Baker, Daniel 
Homsy, George 
3rd / BSc 
Curvature
Induced Forces and Torques on Spheroidal
Particles on Fluid Interfaces 
Burke, Nigel 
Marcus, Brian /
Rechnitzer, Andrew 
3rd / BSc
(Victoria) 
Entropy
of Multidimensional Shifts and Stochastic
Processes 
Chen, Edwin 
Silberman, Lior /
Angel, Omer 
3rd / BASc 
Eigenvalues
and Eigenfunctions o n Random Graphs 
Chen, Karlming 
Pramanik, Malabika /
Magyar, Akos 
3rd / BSc 
Problems
in Density Ramsey Theory 
Chen, Ronnie 
Magyar, Akos /
Pramanik, Malabika 
3rd / BSc 
Problems
in Density Ramsey Theory 
Enns, John 
Rechnitzer, Andrew /
Marcus, Brian 
3rd / BSc 
Entropy
in Symbolic Dynamics 
Estrin, Ron 
Anstee, Richard 
2nd / BSc 
Forbidden
Submatrices 
Kaplan, Maia 
Leung, FokShuen 
2nd / BSc 
Mathematical
Modules in Science One 
Kim, Junghoo 
Leung, FokShuen 
3rd / BSc 
Mathematical
Modules in Science One 
Moon, Ju Young 
EdelsteinKeshet, Leah 
2nd / BSc 
Computer
Simulation of Motors and Microtubules in a Cell 
Woodbury, Tyler 
Peirce, Anthony 
4th / BSc 
Numerically
Solving the SemiInfinite Hydraulic Fracture
Problem 



Summer 2011


Blackman, Jonathan 
Homsy, George /
Dixit, Harish 
4th / BSc 
Capillary
Attraction of Floating Particles 
Chen, Karlming 
Bennett, Michael /
Martin, Greg 
2nd / BSc 
Egyptian
Fraction Representations of One 
Chen, Ronnie 
Anstee, Richard 
2nd / BSc 
Forbidden
Submatrices 
Duynstee, Adrian 
Gustafson, Stephen /
Tsai, TaiPeng 
3rd / BSc 
Numerical
Study of Soliton Dynamics [no report] 
Enns, John 
Schoetzau, Dominik 
2nd / BSc 
Aposteriori
Error Estimation for Finite Element Methods 
Fadai, Nabil 
Balmforth, Neil 
2nd / BASc 
Dynamics
of Granular Toys 
Gharib, Saman 
Karu, Kalle 
3rd / BA 
Vector
Bundles Over Toric Varieties 
Hoskins, Jeremy 
Bluman, George 
4th / BSc 
Scattering
of Waves in a TwoLayered Medium with Smooth
Transition [No Report] 
Laguë, Marysa 
EdelsteinKeshet, Leah 
2nd / BSc 
Optimal
Foraging in Groups 
Meehan, Connor 
Peirce, Anthony 
3rd / BSc 
Adapting
the Hermite Cubic Collocation Scheme for
Asymmetric Hydraulic Fractures 
Ng, Adam 
Feng, James 
3rd / BA 
Smoothed
Particle Hydrodynamics 
Ren, Owen 
Reichstein, Zinovy 
2nd / BASc 
Algebraic
Points on Hypersurfaces 
Solymosi, David 
Pramanik, Malabika 
3rd / BSc 
Patterns
in Sparse Sets 
Zhang, Lisa 
Barlow, Martin /
Slade, Gordon 
4th / BASc 
Simulating
Branching Random Walks 



Summer 2010


Au, Zion Sze Ong 
Kim, YoungHeon 
3rd / BSc 
Optimal
Transportation 
Barekat, Farzin 
Friedman, Joel 
4th / BSc 
GreenbergLubotzky's
Theorem for Sheaves on Graphs 
Blackman, Jonathan 
Fraser, Ailana 
3rd / BSc 
Minimal
Surfaces and Complex Submanifolds 
Da Silva, Curt 
Pramanik, Malabika /
Khosravi, Mahta 
4th / BSc 
Spectra
of SolManifolds 
Lee, Si Ryun (Sierra) 
Usefi, Hamid 
4th / BSc 
The
Security of the McEliece Cryptosystem and Its
Variants 
Luk, Kevin Ka Hang 
Khosravi, Mahta /
Pramanik, Malabika 
3rd / BSc 
Spectra
of Sol Manifolds 
Mar, Philip 
Ward, Michael 
3rd / BSc 
Mean
First Passage Time Simulations on Domains with
Traps 
Meehan, Connor 
Anstee, Richard 
2nd / BSc 
Forbidden
Configurations and Repeated Induction 
Naslund, Eric 
Silberman, Lior 
2nd / BSc 
The
Distribution of the Eigenvalues of Covers of a
Graph 
Ren, Owen 
Kamgarpour, Masoud 
2nd / BSc 
Multiplication
in Hecke Algebras 
Rippel, Oren 
Peirce, Anthony 
4th / BSc 
Perturbative
and Numerical Solutions to the Hydraulic
Fracture StressJump Problem 
Zhang, Lisa 
Slade, Gordon /
Barlow, Martin 
3rd / BASc 
Simulations
of Random Walks on Branching Processes 



Summer 2009


AlAzzawi, AlHasan 
Usefi, Hamid 
1st / BASc 
ErrorCorrecting
Codes and Their Applications 
Au, Zion Sze Ong 
Friedman, Joel 
2nd / BSc 
Zeta
Function and the Girth Problem 
Blackman, Jonathan 
Anstee, Richard 
2nd / BSc 
Perfect
Matchings in Grid Graphs After Vertex Deletions 
Cairns, Hannah 
Pramanik, Malabika 
2nd / BSc 
Methods
of Harmonic Analysis 
Da Silva, Sergio 
Karu, Kalle 
2nd / Arts&Sci
(Toronto) 
Oda's
Strong Conjecture 
Fan, Lu 
EdelsteinKeshet, Leah 
1st / BSc 
Mathematical
Models in Biology 
Hoskins, Jeremy 
Angel, Omer 
2nd / BSc 
Random
Sorting Networks 
Li, Yongnan (Devin) 
Cytrynbaum, Eric 
4th / BSc 
Modeling
the Mechanics of the Division Apparatus in
Bacterial Cells 
Naslund, Eric 
Silberman, Lior 
1st / BSc 
The
Spectra Of Random Graphs 
Towfighi, Siyavash 
Wetton, Brian 
4th / BASc 
Error
Analysis of Projection Schemes 



Summer 2008


Barekat, Farzin 
van Willigenburg,
Stephanie 
2nd / BSc 
Equality
of Schur Qfunctions 
Collins, Tristan 
Pramanik, Malabika 
4th / BSc 
Critical
Integrability Index for Multidimensional
Polynomials 
Daltrop, Shira 
Peirce, Anthony 
3rd / BSc 
The
Numerical Solution of a FingerLike Fracture in
Viscosity and Toughness Regimes 
Gara, Mateusz 
Rechnitzer, Andrew 
4th / BSc 
Enumeration
and Simulation of Combinatorial Objects 
Gharib, Saman 
Rolfsen, Dale 
1st / BSc 
Algebraic
Properties of Groups 
Karp, Steven 
Anstee, Richard 
1st / BM
(Waterloo) 
Extremal
Set Theory and in Particular Forbidden
Configuration Results 
Lui, Edward 
Martin, Greg 
4th / BSc 
DoubleCritical
Graphs 
Peters, Craig 
Friedman, Joel 
2nd / BSc 
Topics in Linear
Algebra [No Report] 
Ward, Adam 
Balmforth, Neil 
3rd / BSc 
Granular
Flow Dynamics in a Rotating Drum 
Zhang, Cheng 
Wetton, Brian 
3rd / BSc 
Computational Models
of Hydrogen Fuel Cells [No Report] 
Zhou, Yu 
Loewen, Philip 
3rd / BSc 
Modeling
Continuous Optimization Problems 



Summer 2007


Brandman, David 
Li, YueXian 
3rd / BSc 
Modeling the
Electrical Activities of a Hormone Secreting
Neuron 
Brown, Andrew 
van Willigenburg,
Stephanie 
4th / BSc 
Equality of Cup
Products of Schubert Classes 
Cembrowski, Mark 
Kuske, Rachel 
4th / BSc 
Evolution Equations
for Coupled Patterns and MeanFlow Dynamics 
Chao, Tiffany 
Martin, Greg 
4th / BSc 
Joint Distribution of
Sumsets and Difference Sets 
Dunwoody, Laura 
Ward, Michael 
4th / BSc 
Singular Perturbations
and ReactionDiffusion Systems 
Fagnan, David 
Cytrynbaum, Eric 
2nd / BSc 
Mechanisms of
Bacterial Cell Division 
Lindstrom, Michael 
Pramanik, Malabika 
3rd / BSc 
Topics in Complex
Dynamics 
Tzou, Justin 
Wetton, Brian 
5th / BASc 
Optimal Connected
Domain Covering Curves 
Ward, Adam 
Gordon, Julia 
2nd / BSc 
Computing Character
Values 
Wong, Rita 
Coombs, Daniel 
3rd / BSc 
Models for Bacterial
Cell Division 



Summer 2006


Cortes, Adrian 
Coombs, Daniel 
4th / BSc 
Modeling Autoimmune
Disorders 
Dodds, Tyler 
Kuske, Rachel 
3rd / BSc 
Oscillations in
Climate Models 
Dunwoody, Laura 
Kuske, Rachel 
3rd / BSc 
Oscillations in
Climate Models 
Hocking, Robert 
Fraser, Ailana 
3rd / BSc 
Interactive Software
for Differential Geometry 
Kruse, Chan 
Frigaard, Ian 
5th / BASc 
Experimental Studies
of ViscoPlastic Fluid Flows 
Lau, Angus 
Li, YueXian 
4th / BSc 
Mathematical Modeling
of SeizureLike Activities 
Markhvida, Katsiaryna 
Horst, Ulrich 
4th / BA 
Simulating Social
Interaction Models with Endogenously Generated
Interaction Structures 
Tseng, Robert 
Anstee, Richard 
1st / BSc 
Matching Theory 
Woodsworth, Daniel 
Li, YueXian 
3rd / BSc 
Mathematical Modeling
of SeizureLike Activities 



Summer 2005


Chan, Collin 
Gustafson, Stephen 
4th / BSc 
Qualitative Properties
of Nonlinear Geometric Evolution Equations 
Derksen, Laura 
Perkins, Ed /
Limic, Vlada 
4th / BSc 
Coalescents and
Stochastic Models in Genetics and Population
Ecology 
Dunwoody, Laura 
Anstee, Richard 
2nd / BSc 
Combinatorial
Investigations 
Huang, Shaoshan 
EdelsteinKeshet, Leah 
4th / BSc 
Modelling
Immunotherapy in Alzheimer's Disease 
Kruse, Chan 
Frigaard, Ian 
4th / BASc 
Experimental Studies
of ViscoPlastic Fluid Flows 
Lee, Mitchell 
Li, YueXian 
3rd / BSc 
Mathematical Modelling
of Signal Transduction in Neoplasia 
L'Espérance, Bruno 
Horst, Ulrich 
3rd / Arts et Sciences
(U de M) 
Simulating
Microstructure Models of Financial Markets 
Marshall, Brandon 
Cytrynbaum, Eric 
4th / BSc 
Modeling the Polepole
Oscillation Behaviour of the MinD Protein in
E.coli Cell Division 
Shaw, Kristin 
van Willigenburg,
Stephanie 
4th / BSc 
Equality of SkewSchur
Functions 
Wong, Samuel 
Boyd, David 
2nd / BSc 
Number Theory in
Cryptography 



Summer 2004


Chao, Tiffany 
Rolfsen, Dale 
1st / BSc 
Knot Polynomials 
Fleming, Balin 
Karu, Kalle 
3rd / BSc 
Cohomology of Toric
Varieties 
Holloway, Isaac 
Solymosi, Jozsef 
2nd / BSc 
Topological Graphs 
L'Espérance, Bruno 
Kuske, Rachel /
Feldman, Joel 
2nd / Arts et Sciences
(U de M) 
Noise Sensitivity in
Mathematical Models with Delay 
Leung, Joanne 
Université de Montréal 
4th / BSc 
USRA exchange 
Pop, Ana 
Friedman, Joel 
2nd / BASc 
Relative Expansion 
Pop, Cristina 
Friedman, Joel 
1st / BASc 
Relative Expansion 
Ryan, Christopher 
Anstee, Richard 
4th / BA 
Graph Theory 
Shaw, Kristin 
van Willigenburg,
Stephanie 
4th / BSc 
The Chromatic
Symmetric Function of Trees 
Soo, Terry 
Kuske, Rachel /
Feldman, Joel 
4th / BA 
Noise Sensitivity in
Mathematical Models with Delay 
Tseng, Dustin 
Loewen, Philip 
2nd / BSc 
Applied Convex
Optimization 



Summer 2003


Fleming, Balin 
Anstee, Richard 
2nd / BSc 
Discrete Mathematics:
External Set Theory 
Koo, Eva 
Feldman, Joel 
3rd / BSc 
Mathematical
Cryptography 
Krzak, Stefanie 
Casselman, William 
3rd / BSc 
Geometrical Techniques
in Computer Graphics 
Liang, Richard 
Perkins, Ed 
3rd / BSc 
Stochastic Models:
Percolation and Interacting Particles 
Mohammadi, Navid 
Martin, Greg 
2nd / BSc 
Mathematical
Cryptography 
Noble, Robert 
Vatsal, Vinayak 
4th / BSc 
Ergodic Theorems and
Number Theory 
Rooney, Darragh 
Li, YueXian 
4th / BSc 
Synchrony in Coupled
Neural Oscillators 
Shaw, Kristin 
van Willigenburg,
Stephanie 
3rd / BSc 
Mathematical
Cryptography 
Thiessen, Wendy 
Boyd, David 
4th / BSc 
Mathematical
Cryptography 
Xuan, Min Yan 
Brauer, Fred 
3rd / BSc 
Explorations in
Mathematical Modeling 



Summer 2002


Arjomandi, Samin 
Frigaard, Ian 
3rd / BASc 
Natural and Forced
Convection in the Growth of SemiConductor
Crystals 
Brox, Daniel 
Brydges, David 
1st / BSc 
Long Chain Polymers 
Gooch, Arthur 
Frigaard, Ian 
3rd / BASc 
Natural and Forced
Convection in the Growth of SemiConductor
Crystals 
Kamoosi, Nima 
Anstee, Richard 
1st / BASc 
External Set Theory 
Krayenhoff, Willem
Bruce 
Sjerve, Denis 
2nd / BSc 
Computing and Graphics
in Low Dimensional Topology 
Mahdaviani, Maryam 
Feldman, Joel 
2nd / BSc 
Categories, Logic and
Homological Algebra 
Naverniouk, Igor 
Boyd, David 
3rd / BSc 
Hyperbolic 3Manifolds
and Number Theory 
Prat, Alain 
Li, YueXian 
4th / BSc 
Mathematical Analysis
of Wave Phenomena in Biology 
Taleghani, Ali 
Nagata, Wayne 
3rd / BSc 
Stability of Heated
Fluid Layers 
Thiessen, Wendy 
Bennett, Michael 
3rd / BSc 
Quartic Thue Equations 
Tzou, Leo 
Loewen, Philip 
4th / BSc 
Relaxation and Duality
in InfiniteDimensional Optimization 
Virk, Rajdeep 
Froese, Richard 
3rd / BSc 
Exponential Growth of
Solutions to a Helmholtz Equation on an Infinite
Graph 


