PhD graduates

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

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

2023

Eric Boulter

Title: Vector Bundles on Non-Kähler Elliptic Surfaces
Supervisor: Ruxandra Moraru

Jacob Campbell

Title: Finistary approximations of free probability, involving combinatorial respresentation theory
Supervisor: Alexandru Nica

Padraig Daly

Title: Quantum superchannels on the space of quantum channels
Supervisors: Michael Brannan, David Kribs

Andrej Vukovic

Title: Divisibility of Discriminants of Homogeneous Polynomials
Supervisors: Jerry Wang, David McKinnon

John Sawatzky

Title: Mind the GAP: Amenability Constants and Arens Regularity of Fourier Algebras
Supervisors: Brian Forrest, Matthew Wiersma

Luke MacLean

Title: Notions of Complexity Within Computable Structure Theory
Supervisor: Barbara Csima

2022

Benjamin Anderson-Sackaney

Title: On Amenability Properties and Coideals of Quantum Groups
Supervisor: Nico Spronk and Michael Brannan

Adam Humeniuk

Title: Dilation methods in semigroup dynamics and noncommutative convexity
Supervisor: Kenneth Davidson and Matthew Kennedy

Nicholas Manor

Title: Exactness and Noncommutative Convexity
Supervisor: Matthew Kennedy and Nico Spronk

Daniel Perales Anaya

Title: Brands of cumulants in non-commutative probability, and relations between them
Supervisor: Alexandru Nica

Dan Ursu

Title: Tracial and ideal structure of crossed products and related constructions
Supervisor: Matthew Kennedy

2021

Seda Gulizar Albayrak

Title: Sparse Automatic Sets
Supervisor: Jason Bell

Christopher Hawthorne

Title: A guide to F-automatic sets
Supervisor: Rahim Moosa

Brett Nasserden

Title: Applications of the minimal modelprogram in arithmetic dynamics
Supervisor: Matthew Satriano

Patrick Naylor

Title: Trisections of non-orientable 4-manifolds
Supervisor: Doug Park

Ragini Singhal

Title: Deformation theory of nearly G₂-structures and nearly G₂ instantons
Supervisors: Benoit Charbonneau and Spiro Karigiannis

Aasaimani Thamizhazhagan

Title: On the Structure of Invertible Elements in Certain Fourier-Stieltjes Algebras
Supervisors: Nico Spronk and Brian Forrest

2020

Zachary Cramer

Title: Compressible Matrix Algebras and the Distance from Projections to Nilpotents
Supervisor: Laurent Marcoux

Sylvie Davies

Title: Algebraic Approaches to State Complexity of Regular Operations
Supervisors: Jason Bell and Janusz Brzozowski

Shubham Dwivedi

Title: Topics in G₂ geometry and geometric flows
Supervisor: Spiro Karigiannis

Ertan Elma

Title: Some Problems in Multiplicative and Additive Number Theory
Supervisor: Yu-Ru Liu and Wentang Kuo

Ehsaan Hossain

Title: Recurrence in Algebraic Dynamics
Supervisor: Jason Bell

Hongdi Huang

Title: On Hopf Ore Extensions and Zariski Cancellation Problems
Supervisor: Jason Bell

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Title: Applications of Operator Systems in Dynamics, Correlation Sets, and Quantum Graphs
Supervisor: Kenneth Davidson & Matthew Kennedy

Zsolt Tanko

Title: Coefficient spaces arising from locally compact groups
Supervisor: Brian Forrest & Matthew Kennedy

2019

Diana Castaneda Santos

Title: Rational approximations on smooth rational surfaces
Supervisor: David McKinnon

Michael Deveau

Title: Computability Theory and Some Applications
Supervisor: Barbara Csima

Samuel Harris

Title: Unitary Correlation Sets and their Applications
Supervisor: Vern Paulsen

Ruizhang Jin

Title: The logarithmic derivative and model-theoretic analysability in the differentially closed fields
Supervisor: Rahim Moosa

Mohammad Mahmoud

Title: Degrees of Categoricity and the Isomorphism Problem
Supervisor: Barbara Csima

Anton Mosunov

Title: Generalizations of the Gap Principle and the Thue-Siegel Principle, with Applications to Diophantine Equations
Supervisor: Cameron Stewart

Nickolas Rollick

Title: Approximation Constants for Closed Subschemes of Projective Varieties
Supervisor: David McKinnon

Xu Robert Yang

Title: Sidon and Kronecker-like sets in compact abelian groups
Supervisor: Kathryn Hare

2018

Chadi Hamzo

Title: Classification of Finitely Generated Operator Systems
Supervisor: M. Kennedy

Jonathan Herman

Title: Weak Momentum Maps in Multisympletic Geometry
Supervisor: Spiro Karigiannis and Shengda Hu

Boyu Li

Title: Regular Dilation on Semigroups
Supervisor: Kenneth Davidson

Satish Pandey

Title: Symmetrically-Normed Ideals and Characterization of Absolutely Norming Operators
Supervisor: Vern Paulsen

Jitendra Prakash

Title: Tsirelson's problems and entanglement breaking rank
Supervisor: Vern Paulsen

John J. C. Saunders

Title: Problems in Combinatorial and Analytic Number Theory
Supervisor: Kevin Hare and Yu-Ru Liu

Renzhi Song

Title: Series-Parallel Posets and Polymorphisms
Supervisor: Ross Willard

2017

Adam Dor On

Title: Techniques in operator algebras: classification, dilation and non-commutative boundary theory
Supervisor: K. Davidson

Tyrone Ghaswala

Title: The Liftable Mapping Class Group
Supervisors: D. McKinnon and D. Park

Blake Madill

Title: Contributions to the Theory of Radicals for Noncommutative Rings
Supervisor: J. Bell

Ian Payne

Title: 2-Semilattices: Residual Properties and Applications to the Constraint Satisfaction Problem
Supervisor: R. Willard

Jaspar Wiart

Title: Semicrossed Products, Dilations, and Jacobson Radicals
Supervisor: K. Davidson

2016

Michael Hartz

Title: Nevanlinna-Pick spaces and dilations
Supervisor: K. Davidson

Matthew Wiersma

Title: Exotic Group C*-algebras, Tensor Products, and Related Constructions
Supervisors: B. Forrest and N. Spronk

Stanley Yao Xiao

Title: Some Results on Binary Forms and Counting Rational Points on Algebraic Varieties
Supervisor: C. Stewart

2015

Robert Garbary

Title: On Local Positivity of Line Bundles on Algebraic Surfaces
Supervisor: D. McKinnon

Alejandra Vicente Colmenares

Title: Semistable Rank 2 co-Higgs Bundles Over Hirzebruch Surfaces
Supervisor: R. Moraru

Shuntaro Yamagishi

Title: Some Additive Results in F_q[t]
Supervisor: Y-R. Liu

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