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Recent MMath graduates

2019 |2018 |2017 |2016 | 2015 | 2014 |2013 | 2012

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

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 Zm
  • 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

2014

Matthew Beckett

  • Title: Monopoles and S^1-Invariant Instantons
  • Supervisor: B. Charbonneau

​Karlming Chen

  • Title: The Triangularization of Certain Kinds of Linear Groups
  • Supervisor: J. Bell

Chad Davis

  • Title: Division Polynomials, Torsion Subgroups and Elliptic Curves over Local Fields
  • Supervisor: D. McKinnon

Michael Deveau

  • Title: Minimal Pairs of Turing Degrees
  • Supervisor: B. Csima

​Christopher Dugdale

  • Title: Differentially Simple Rings
  • Supervisor: J. Bell

Christopher Ferguson

  • Title: The Brauer Group
  • Supervisor: J. Bell

Keegan Flood

  • Title: Brownian Motion and the Dirichlet Problem
  • Supervisor: A. Nica

​Jonathan Herman

  • Title: Noether's Theorem under the Legendre Transform
  • Supervisor: S. Karigiannis

​Ruizhang Jin

  • Title: Canonical Bases in Stable Theories
  • Supervisor: R. Moosa

​Winnie Wing Yuen Lam

  • Title: Special Case of CSP does not have Bounded Width
  • Supervisor: R. Willard

Janis Lazovskis

  • Title: Characterizations of the Chern Characteristic Class
  • Supervisors: B. Charbonneau and S. Karigiannis

Boyu Li

  • Title: Asymptomatic Distributions for Block Statistics on Non-crossing Partitions
  • Supervisor: A.M. Nica

Ling-Sang Tse

  • Title: The Mordell-Weil Theorem
  • Supervisor: D. McKinnon

Cameron Williams

  • Title: The Representation Theory of Locally Compact Abelian Groups and the Theory of Induced Representations
  • Supervisors: B. Forrest and N. Spronk

Xu Robert Yang

  • Title: Interpolation Sets for Compact Abelian Groups
  • Supervisor: K.E. Hare

Canlin Zhang

  • Title: The Operator Theory Basis of Quantum Computing
  • Supervisor: K. Davidson

2013

Bradley Dart

  • Title: Gerbes
  • Supervisor: R. Moraru

David Farahany

  • Title: Multiplier problem for the ball and the Kakeya maximal operator
  • Supervisor: K.E. Hare

George Hutchinson

  • Title: Almost commuting matrices and Lin's theorem
  • Supervisor: K.R. Davidson

Blake Madill

  • Title: The Chebotarev density theorem
  • Supervisor: W. Kuo

Cassandra Naymie

  • Title: Roth's theorem on finite Abelian groups
  • Supervisors: Y-R. Liu and W. Kuo

David Pazmino-Pullas​

  • Title: A review of Whitehead's asphericity conjecture
  • Supervisor: S. Karigiannis

David Peterson

  • Title: A description of the \leq ppc quasi-order on the class of two element relational structures over finite languages
  • Supervisor: R.D. Willard

John J.C. Saunders

  • Title: Jumping champions: most common gaps between primes
  • Supervisor: M. Rubinstein

Joshua Smith

  • Title: The Grigorchuk group
  • Supervisor: J.P. Bell

Renzhi Song

  • Title: Finite reflexive digraph with Gumm polymorphisms admits NU polymorphisms
  • Supervisor: R.D. Willard

Melek Burcu Tuncer Karabina

  • Title: On integer factorization methods
  • Supervisor: D. McKinnon

Matthew Wiersma

  • Title: Approximation properties for group C*-algebras
  • ​Supervisors: B.E. Forrest and N. Spronk

Tao Zhang

  • Title: The Bombieri-Vinogradov theorem
  • Supervisor: W. Kuo

2012

Salma Mohamad Hasan Alghawi

  • Title: Grimm's conjecture on consecutive integers
  • Supervisor: C.L. Stewart

Adam Bognat

  • Title: Milnor's exotic spheres
  • Supervisor: S. Karigiannis

Siu Sing Chow

  • Title: Graph algebras of real rank zero
  • Supervisor: L.W. Marcoux

Tyrone Ghaswala

  • Title: Intersection forms on Fermat hypersurfaces in CP^3
  • Supervisors: D. McKinnon and B.D. Park

Heung Shan Theodore Hui

  • Title: Dynamics of the Omega function
  • Supervisor: K.G. Hare

Daniel Ivan

  • Title: P-basis, derivations and Hasse derivations in positive characteristic
  • Supervisor: R. Moosa

Withanage Dona Vasukie Mahathanthila

  • Title: Elliptic curve crytography
  • Supervisor: K.G. Hare

Steven McPherson

  • Title: The existence of computable structures of finite dimension
  • Supervisor: B. Csima

Patrick Meisner

  • Title: On the sum of two cubes
  • Supervisor: C.L. Stewart

Nikita Nikolaev

  • Title: Reduction theory and Dirac geometry
  • Supervisor: R. Moraru

Yui Nishizawa

  • Title: On Roth's theorem on arithmetic progressions of length three
  • Supervisors: Y-R. Liu and W. Kuo

Ian Payne

  • Title: Determining CSP complexity using polymorphism algebras
  • Supervisor: R.D. Willard

Eugene Yoong

  • Title: Elliptic curves and the Goldfeld-Szpiro conjecture
  • Supervisor: C.L. Stewart