MMath graduates

2023 |2022 |2021 |2020 |2019 |2018 |2017 |2016 | 2015

This list consists of the name, thesis title and supervisor of Pure Math MMath recipients for the past several years.

2023

Clement Wan

Title: On Pseudovarieties of Finite Algebras
Supervisor: Ross Willard

Vincent Boldt

Title: Model Theory of Higher Derivations
Supervisor: Rahim Moosa

Tanner Boos

Title: Brownian Motion Through the Construction of the Wiener Measure
Supervisor: Alexandru Nica

Laindon Burnett

Title: An Analogue of Cobham's Theorem for F-automatic sequences
Supervisor: Jason Bell

Jing Xuan Chen

Title: Positive Bisectional Curvature on Compact Kahler Surfaces and Kahler-Einstein Manifolds
Supervisor: Spiro Karigiannis

Daniel Clark

Title: Up the Hill Backwards: Lie Group Grom a Lie Algebra
Supervisor: Xuemiao Chen

Sam Cookson

Title: The Subpower Membership Problem on Clifford Semigroups in Polynomial Time
Supervisor: Ross Willard

Cynthia Dai

Title: Toric Vector Bundles
Supervisor: Matthew Satriano

Ismael El Yassini

Title: Roth's theorem on arithmetic progressions
Supervisor: Yu-Ru Liu

Young In (Daniel) Han

Title: Derived Functors and Cohomology Theories
Supervisor: Jason Bell

Joey Lakerdas-Gayle

Title: Isomorphism Spectra and Categoricity Spectra of Computable Structures
Supervisor: Barbara Csima

Hanming Liu

Title: Calculations on Dirac and Spinor Valued Forms
Supervisor: Spiro Karigiannis

Liam McQuay

Title: Finite-dimensional *-algebras vai geometry of projections
Supervisor: Alexandru Nica

Ravi Mudaliar

Title: Riemann Surfaces, Function Fields, and Belyi's Theorem
Supervisor: Xuemiao Chen

Steven Piatkowski

Title: Representation Theory of Finite Groups
Supervisor: Wentang Kuo

Gian Cordana Sanjaya

Title: Density of Special Classes of Polynomials with Squarefree Discriminant
Supervisor: Jerry Wang

Jacques Van Wyk

Title: Elliptic Partial Differential Operators
Supervisor: Spiro Karigiannis

Gerrik Wong

Title: Tidy Idempotents of L¹ (G)
Supervisor: Nico Spronk

Jenny Xu

Title: Tree Properties and their Associated Cardinal Invariants
Supervisor: Rahim Moosa

Nolan Pyott

Thesis Title: Generalized GCDs as Applications of Vojta's Conjecture
Supervisor: David McKinnon

2022

Simon Adamus

Title: Universality in Punctually Computable Structure Theory
Supervisor: Barbara Csima

Thomas Bray

Title: Harmonic Analysis of Free Groups and an Application to Arens Products
Supervisor: Nico Spronk

Robert Cornea

Title: Dimensional Reduction of Vafa-Witten Systems
Supervisor: Ruxandra Moraru

Ethan Davis

Title: Uncountably Many Non-Elementarily Equivalent II_1 Factors
Supervisor: Matthew Kennedy

Andean Medjedovic

Title: Exact Formulas for Averages of Secular Coefficients
Supervisor: Michael Rubinstein

Robert Morissette

Title: On Burris's Proof of Baker's Finite Basis Theorem
Supervisor: Ross Willard

Aidan Patterson

Title: Para-Holomorphic Algebroids with Para-Complex Connections
Supervisor: Ruxandra Moraru

Joaquin Prandi

Title: Local Dimension of Discrete Measures
Supervisor: Kevin Hare

Spencer Secord

Title: A Proof That Straight Domains are Locally Divided
Supervisor: David McKinnon

Owen Sharpe

Title: Discrete Restriction Bounds for (x^3, x) and More General Polynomials
Supervisor: Yu-Ru Liu

Yuxuan Sun

Title: On the Dynamical Wilf-Zeilberger Problem
Supervisor: Jason Bell

Francisco Villacis

Title: Computation of Chen-Ruan Cohomology Rings for Abelian Orbifolds
Supervisors: Ruxandra Moraru and Shengda Hu

Spencer Whitehead

Title: Integrality theorems for symmetric instantons
Supervisor: Benoit Charbonneau

Xiao Zhong

Title: p-ADIC INTERPOLATION OF ORBITS UNDER RATIONAL MAPS
Supervisor: Jason Bell

2021

Nicolas Banks

Title: Galois Actions on Smooth Projective Surfaces Up to Picard Rank Four
Supervisor: David McKinnon

Christine Eagles

Title: Elimination of Imaginaries in ACFA
Supervisor: Rahim Moosa

Nicholas Kayban

Title: Riemannian Immersions and Submersions
Supervisor: Spiro Karigiannis

Larissa Kroell

Title: Quantum Graphs
Supervisor: Matthew Kennedy

Isaac Lee

Title: Odd Perfect Numbers
Supervisor: Kevin Hare

Annie Li

Title: Amenable Commutative Operator Algebras on Hilbert Spaces
Supervisor: Brian Forrest and Nico Spronk

Kieran Mastel

Title: The Clifford Theory of the Clifford Group
Supervisor: William Slofstra

Liam Orovec

Title: Periodic Beta-Expansions
Supervisor: Kevin Hare

Caleb Suan

Title: Differential Operators on Manifolds with G2-Structure
Supervisor: Spiro Karigiannis

Shun Zhang

Title: Almost Reducibility of Operators on Hilbert Spaces
Supervisor: Ken Davidson

2020

Juan Ariza Mejia

Title: Property (T) for Tracial von Neumann Algebras
Supervisor: Nico Spronk

Samuel Desrochers

Title: Assouad Dimension and Non-Embeddability
Supervisor: Kathryn Hare

Claudia Guerrero Golzalez

Title: Some applications of the Renewal Theorem to Fractal Geometry
Supervisor: Kathryn Hare

Marco Handa

Title: The Canonical Base Property in DCF_O
Supervisor: Rahim Moosa

Robert Harris

Title: Fibrations and Monodromies of Torus Knot Complements
Supervisor: Doug Park

Anton Iliashenko

Title: The moduli space of ASD connections on compact 4-manifolds
Supervisor: Spiro Karigiannis

Nicole Kitt

Title: Representations of SL(n,C)
Supervisor: Matthew Satriano

Sean Monahan

Title: An overview of toric varieties
Supervisor: Matthew Satriano

Xingchi Ruan

Title: On the Solubility of Diophantine Systems
Supervisor: Wentang Kuo

Zhihao Zhang

Title: Derivations on Banach Algebras
Supervisor: Nico Spronk

Yuming Zhao

Title: Algebras for Nonlocal Games
Supervisor: William Slofstra

2019

Jason d'Eon

Title: Applications of Information Geometry to Machine Learning
Supervisor: Ruxandra Moraru

Jacob Campbell

Title: Weingarten calculus for some classical groups and their quantum analogues
Supervisor: Alexandru Nica

John Dykes

Title: Vinogradov's Mean Value Theorem
Supervisor: Yu-Ru Liu

Amanda Garcia

Title: Random Walks on Finite Groups with Applications to Card Shuffling
Supervisor: Ben Webster

Adina Goldberg

Title: Synchronous nonlocal games in multiple quantum models
Supervisor: Vern Paulsen

Luke MacLean

Title: Sure it works in theory, but is it effective?
Supervisor: Barbara Csima

Edward Poon

Title: Representation Theory of the generalized symmetric group
Supervisor: Ben Webster

Wilson Poulter

Title: Zilber's Principle in Practice
Supervisor: Rahim Moosa

Finlay Rankin

Title: An Embedding theorem for small Abelian Categories
Supervisor: Jason Bell

Hayley Reid

Title: Monogenic Number Fields
Supervisor: David McKinnon

Jeffrey Samuelson

Title: A Modern Solution to the Problem of Counting Lines on the Cubic Surface in P³
Supervisor: Matthew Satriano

Pawel Sarkowicz

Title: Exact C^* -Algebras and the Kirchberg-Phillips Nuclear Embedding Theorem
Supervisor: Laurent Marcoux

Charles Valero

Title: Monopoles with Dirac-Type Singularities
Supervisor: Benoit Charbonneau

Andrej Vukovic

Title: Arithmetic Invariant Theory: An Overview
Supervisor: Jerry Xiao Heng Wang

2018

Hussein Ahmad

Title: Godel's 2nd Incompleteness Theorem and Fragments of Arithmetic
Supervisor: R. Moosa

Benjamin Anderson-Sackaney

Title: The Fourier-Stieltjes Algebra and Host's Idempotent Theorem
Supervisors: N. Spronk and B. Forrest

Eric Boulter

Title: Born Metrics on Compact Complex Surfaces
Supervisor: R. Moraru

Kerry Cerqueira

Title: A modern counterexample to the Von Neumann-Day conjecture
Supervisors: B. Forrest & N. Spronk

Leah Duffett

Title: Murasugi's proof of Tait's conjecture on the crossing number of proper alternating links
Supervisor: D. Park

Joshua Hews

Title: Bridge position and thin position of knots
Supervisor: D. Park

Adam Humeniuk

Title: Existence of the C*-envelope of an Operator System
Supervisor: K. Davidson

Nicholas Manor

Title: Entanglement Breaking Quantum Channels and the PPT-Squared Conjecture
Supervisors: V. Paulsen and M. Kennedy

Jeremy Nicholson

Title: The affine completeness and functional completeness of the ring Z_m
Supervisor: R. Willard

Daniel Pepper

Title: Basics of free stochastic integration
Supervisors: B. Forrest and A. Nica

John Sawatzky

Title: The Fourier Algebra of a Locally Compact Group
Supervisors: N. Spronk and B. Forrest

David Urbanik

Title: Abstract and Explicit Constructions of Jacobian Varieties
Supervisors: M. Satriano and D. Jao

Dan Ursu

Title: C* - simplicity of discrete groups
Supervisor: M. Kennedy

Jake Zimmermann Simmons

Title: Investigation of a locally finite and residually finite variety
Supervisor: R. Willard

2017

Gulizar (Seda) Albayrak

Title: Finite Automata and Algebraicity of Formal Power Series over Finite Fields
Supervisor: J. Bell

Dylan Butson

Title: Classical Field Theory in the BV formalism
Supervisors: K. Costello and M. Satriano

Serina Camungol

Title: Haar measure on locally compact groups and a fixed point theorem of Day
Supervisors: N. Spronk and B. Forrest

Jessica Crawford-Brown

Title: Understanding the One-Dimensional Representations of the Galois Group of the Algebraic Closure of the Rationals over the Rationals
Supervisor: D. McKinnon

Brandon Doherty

Title: An Introduction to Homotopy Type Theory
Supervisor: D. Park

Parham Hamidi

Title: Ring theoretic properties of Iwasawa algebras
Supervisor: J. Bell

Christopher Hawthorne

Title: Formal languages and the model theory of finitely generated free monoids
Supervisor: R. Moosa

Kun-Hung (Rick) Hsueh

Title: A Parallel Study of the Fock Space Approach to Classical and Free Brownian Motion
Supervisor: A. Nica

Drew Johnstone

Title: Setting a Non-Commutative Framework for Independance of Random Variables, with an eye Towards Free Probability
Supervisor: A. Nica

Bahaa Khaddaj

Title: Reduced C*-algebras of totally disconnected groups
Supervisors: N. Spronk and M. Kennedy

Se-Jin Sam Kim

Title: Strong Morita Equivalence and Imprimitivity Theorems
Supervisor: K. Davidson

Justin Laverdure

Title: The Laws of Finite Pointed Groups
Supervisor: R. Willard

Anthony McCormick

Title: Derived Geometry and the Integrability Problem for G-Structures
Supervisor: S. Karigiannis

Patrick McIntyre

Title: On the Relationship Between Concentration of Measure and the Isoperimetric Problem
Supervisor: A. Nica

Kamyar Moshksar

Title: On Asynchronous Interference Channels
Supervisor: N. Spronk and B. Forrest

2016

Sylvie Davies

Title: Primitive Groups, Uniform Minimality, and Direct Products of Automata
Supervisor: J. Bell

Kari Eifler

Title: Graph C* Algebras and the Abelian Core
Supervisor: L. Marcoux and M. Kennedy

Ikenna Ezike

Title: On the Greedy and Lazy Beta-Expansions
Supervisor: K.G. Hare

Mireille Suzanne Findleton

Title: A Simply-Connected Symplectic Calabi-Yau 6-Manifold
Supervisor: D. Park

Mitchell Haslehurst

Title: Regularity of Arens Multiplication and Weakly Almost Periodic Functionals on Banach Algebra
Supervisor: N. Spronk and B. Forrest

Ehsaan Hossain

Title: The Algebraic Kirchberg-Phillips Conjecture for Leavitt Path Algebras
Supervisor: J. Bell

Shuming Jia

Title: The Linear Sieve and Chen's Theorem
Supervisor: Y-R. Liu

Richard Mack

Title: On Banach Spaces Admitting Unique Preduals
Supervisor: N. Spronk

Arthur Mehta

Title: Semi-pre-C*-Algebras and positivstellensatz
Supervisor: M. Kennedy

Patrick Naylor

Title: Lefschetz Fibrations
Supervisor: D. Park

Emily Neufeld

Title: On Kolmogorov Complexity and Minimal Pairs of K-Degrees
Supervisor: B. Csima

Nickolas Rollick

Title: Integer Points on Genus Zero Projective Curves
Supervisor: D. McKinnon

Dennis Stauffer

Title: Additive Properties of Beta-Integers for Quadratic Pisot Numbers
Supervisor: K.G. Hare

2015

Michael Baker

Title: Elliptic curves over finite fields and their l-torsion Galois representations
Supervisor: D. McKinnon

Alexander Berenbeim

Title: Some Preliminary Steps Towards a Formally Verified Proof of the Weil Conjectures
Supervisor: D. McKinnon

John Campbell

Title: Some Problems and Results Related to Nil and Graded-Nilpotent Rings
Supervisor: J. Bell

Hanci Chi

Title: On the Weitzenbock Formula and Integrability in Higher Dimensional Gauge Theory
Supervisor: B. Charbonneau

Zachary Cramer

Title: Normal Limits of Nilpotents and Normal Operator Similarity Orbits in Purely Infinite C*-Algebras
Supervisor: L. Marcoux

James Haley

Title: Strongly Reductive Operators and Strongly Reductive Operator Algebras
Supervisor: L. Marcoux

Samuel Harris

Title: Kadison Similarity Problem and Similarity Degree
Supervisor: L. Marcoux

Samin Riasat

Title: On Prime Factors of Consecutive Integers
Supervisor: C. Stewart

Asmita Sodhi

Title: Classifying Smooth, Compact Toric Surfaces
Supervisor: D. McKinnon

Rui Philip Xiao

Title: K-Theory for C*-Algebras and for Topological Spaces
Supervisor: K. Davidson

Hee Sung Yang

Title: On the Approximation of Real Numbers with Algebraic Integers of Low Degree
Supervisor: C. Stewart

Polly Yu

Title: Spans of Projections in Certain C*-Algebras
Supervisor: L. Marcoux