Recent MMath graduates

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.

2018

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

Nicholas Manor

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

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