Graduate Courses in Mathematics

For more information about a course, contact the instructor or follow the given link.

Winter courses start January 6 or 7, 2020, unless otherwise indicated.

Course selection for incoming students happens after arrival in discussion with the supervisor.

Note: Students may also be interested in taking courses offered by other departments, such as Applied Mathematics.

A list of core courses, with descriptions of their content, is provided here. Core courses are marked below with a *.

Winter 2020

Math 9020B/4120B — *Field Theory / A. Dhillon; MWF 10:30-11:30; MC 108
Math 9022B/4122B — *Introduction to Measure Theory / J. Adamus; MWF 1:30-2:30; MC 108
Math 9050B/3121B — Advanced Linear Algebra / G. Denham; MWF 9:30-10:30; MC 108
Math 9052B/4152B — *Algebraic Topology / M. Pinsonnault; Tu 9:30-11:30, Th 9:30-10:30, MC 108
Math 9053B/4153B — *Algebraic Geometry / A. Dhillon; MWF 11:30-12:30; MC 108
Math 9147B — Lie Groups / T. Barron; Tu 1:30-3:30, Th 2:30-3:30; MC 108
Math 9406B — Pro-finite Groups / D. Riley; Tu 11:30-12:30, Th 10:30-12:30; MC 108
Math 9616B — Random Matrix Theory and Topological Recursion / M. Khalkhali; MW 2:30-4:30; MC 107

Summer 2020

Math 9054A — *Functional Analysis / G. Sinnamon
Math 9140A — *Representation Theory of Finite Groups / N. Lemire

Past graduate courses

Fall 2019

Math 9021A/4121A — *Topology / M. Franz
Math 9023A/4123A — *Rings and Modules / D. Riley
Math 9051A/4151A — Algebraic Number Theory / C. Hall
Math 9161A — *Differential Geometry / M. Khalkhali
Math 9306A — Banach Function Spaces / G. Sinnamon
Math 9512A — Higher Category Theory / C. Kapulkin

Summer 2019

Math 9511A — Category Theory / K. Kapulkin
Math 9302A — Riemann Surfaces / M. Khalkhali

Winter 2019

Math 9020B/4120B — *Field Theory / N. Lemire
Math 9022B/4122B — *Introduction to Measure Theory / J. Adamus
Math 9052B/4152B — *Algebraic Topology / D. Christensen
Math 9133B — *Real Analysis / R. Shafikov
Math 9141B — *Commutative Algebra / A. Dhillon
Math 9144B — *Homological Algebra / G. Denham
Math 9607B — Complex Analytic Geometry / J. Adamus

Fall 2018

Math 9021A/4121A — *Topology / M. Franz
Math 9023A/4123A — *Rings and Modules / C. Hall
Math 9024A/3124A — Complex Analysis I / J. Adamus
Math 9050A/3121A — Advanced Linear Algebra / J. Minac
Math 9054A/4154A — *Functional Analysis / G. Sinnamon
Math 9055A/4155A — *Calculus on Manifolds / M. Pinsonnault
Math 9501A — Local homotopy theory / R. Jardine

Summer 2018

Math 9140 — *Representation Theory / D. Christensen
Math 9302 — Riemann Surfaces / M. Khalkhali

Winter 2018

Math 9022B/4122B — *Introduction to Measure Theory / J. Adamus
Math 9051B/4151B — Algebraic Number Theory / C. Hall
Math 9052B/4152B — *Algebraic Topology / D. Christensen
Math 9053B/4153B — *Algebraic Geometry / P. Zsamboki
Math 9151B — Homotopy Theory I / R. Jardine

Fall 2017

Math 9023A/4123A — *Rings and Modules / N. Lemire
Math 9043A/3152A — Combinatorial Mathematics / G. Denham
Math 9054A/4154A — *Functional Analysis / M. Franz
Math 9056A/4156A — *Complex Analysis II / R. Shafikov
Math 9148A — Graph Theory: Expander Graphs / C. Hall
Math 9161A — *Differential Geometry / M. Pinsonnault

Summer 2017

Math 9141 — *Commutative Algebra / M. Khalkhali
Math 9171 — Mathematical Computation / D. Christensen

Winter 2017

Math 9020B/4120B — *Field Theory / M. Franz
Math 9052B/4152B — *Algebraic Topology / D. Christensen
Math 9063B — *Real Analysis / J. Adamus
Math 9145B/3159B — Cryptography / K. Kapulkin
Math 9414B — Class Field Theory / J. Minac
Math 9???B — A¹-homotopy theory / B. Williams; teleconference course from UBC

Fall 2016

Math 9021A/4121A — *Topology / J. Adamus
Math 9023A/4123A — *Rings and Modules / L. Renner
Math 9050A/3121A — Advanced Linear Algebra / M. Franz
Math 9055A/4155A — *Calculus on Manifolds / M. Pinsonnault
Math 9024A/3124A — Complex Analysis I / R. Shafikov
Math 9144A — *Homological Algebra / C. Okay
Math 9501A — Local homotopy theory / R. Jardine

Summer 2016

Math 9140 — *Representation Theory / D. Christensen
Math 9162 — Topics in Algebraic Geometry: Complex Algebraic Curves / T. Barron

Winter 2016

Math 9020B/4120B — *Field Theory / M. Khalkhali
Math 9043B/3152B — Combinatorial Mathematics / G. Denham
Math 9052B/4152B — *Algebraic Topology / D. Christensen
Math 9054B/4154B — *Functional Analysis / M. Franz
Math 9151B — Homotopy Theory / R. Jardine
Math 9607B — Complex Analytic Geometry / J. Adamus

Fall 2015

Math 9021A/4121A — *Topology / K. Szumilo
Math 9022A/4122A — *Intro. to Measure Theory / G. Sinnamon
Math 9023A/4123A — *Rings and Modules / L. Renner
Math 9050A/3121A — Advanced Linear Algebra / C. Junkins
Math 9413A — Milnor K-Theory / J. Minác
Math 9501A — Categorical logic / K. Kapulkin
Math 9600A — Topics in Differential Geometry / M. Khalkhali

Summer 2015

Math 9053/4153 — Algebraic Geometry / A. Dhillon
Math 9412 — Topics in Graph Theory: Spectral Graph Theory / M. Khalkhali
Math 9162 — Topics in Algebraic Geometry: Intersection Theory / G. Denham; reading course
Math 9310 — Topics in Complex Analysis / R. Shafikov; reading course

Winter 2015

Math 9052B/4152B — *Algebraic Topology / M. Frankland
Math 9054B/4154B — *Functional Analysis / M. Khalkhali
Math 9063B — *Real Analysis / J. Adamus
Math 9141B — *Commutative Algebra / L. Renner
Math 9147B — Lie Groups / M. Pinsonnault
Math 9309B — Automorphic Forms / M. Khalkhali
Math 9501B — Local Homotopy Theory / R. Jardine
Math 9142 — Linear Algebraic Groups / L. Renner; reading course
Math 9162 — Topics in Algebraic Geometry / A. Dhillon; reading course

Fall 2014

Math 9020A/4120A — Field Theory / N. Lemire
Math 9021A/4121A — *General Topology / G. Denham
Math 9022A/4122A — *Intro. to Measure Theory / G. Sinnamon
Math 9023A/4123A — *Rings and Modules / L. Renner
Math 9050A/3121A — Linear Algebra / L. Renner
Math 9055A/4155A — *Calculus on Manifolds/ Eshmatov
Math 9056A/4156A — *Complex Analysis I / M. Manolaki
Math 9500A — Algebraic K-Theory / R. Jardine
Math 9043 — Combinatorial Mathematics / G. Denham; reading course
Math 9051 — Algebraic Number Theory / Nguyen; reading course
Math 9305 — Complex Approximation Theory / A. Boivin; reading course
Math 9402 — Noncommutative Ring Theory / D. Riley; reading course
Math 9403 — Topics in Linear Algebraic Groups / L. Renner; reading course
Math 9405 — Polynomial Identity Algebras / D. Riley; reading course
Math 9600 — Topics in Differential Geometry / M. Pinsonnault; reading course
Math 9607 — Complex Analytic Geometry / J. Adamus; reading course

Summer 2014

Math 9140L — Representation Theory / Dan Christensen
Math 9302L — Riemann Surfaces / R. Shafikov
Math 9312L — Topics in PDEs / R. Shafikov; reading course

Winter 2014

9020B — Field Theory / Bacard
9021B — Topology / M. Franz
9054B — Functional Analysis / Eshmatov
9141B — Commutative Algebra / N. Lemire
9151B — Homotopy Theory / R. Jardine
9161B — Differential Geometry / M.Pinsonnault
9600B — Topics in Differential Geometry / M. Khalkhali
9022B — Measure Theory/ G. Sinnamon
9613 — Hyperplane Arrangements / G. Denham; reading course
9313 — Topics in Differential Equations / R. Shafikov; reading course

Fall 2013

9023A — Rings and Modules / D. Riley
9043A — Combinatorial Mathematics / G. Denham
9051A — Algebraic Number Theory / Nguyen
9052A — Algebraic Topology / D. Christensen
9063A — Real Analysis / R. Shafikov
9056A — Complex Analysis I / Manolaki
9142A — Linear Algebraic Groups / L. Renner; reading course
9144A — Homological Algebra / G. Denham
9609A — Morse Theory / M. Pinsonnault

Summer 2013

9312 — Topics in PDEs / R. Shafikov
9062 — Analytic Number Theory / M. Khalkhali

Winter 2013

9020 — Field Theory / M. Khalkhali
9021 — General Topology / T. Barron
9022 — Measure Theory / F. Fathizadeh
9141 — Commutative Algebra / N. Lemire
9143 — Introduction to Lie Algebras / M. Franz
9163 — Convex Geometry / G. Denham
9402 — Noncommutative Ring Theory / D. Riley
9601 —Symplectic Geometry / M. Pinsonnault
9304 — Potential Theory in the Complex Plane / A. Boivin

Fall 2012

9023 — Rings and Modules / D. Riley
9052 — Algebraic Topology / P. Lowrey
9054 — Functional Analysis / G. Sinnamon
9055 — Calculus on Manifolds / M. Pinsonnault
9142 — Linear Algebraic Groups / L. Renner
9311 — Spectral Geometry / M. Khalkhali
9414 — Class Field Theory / J. Minác
9612 — Introduction to Singularities and Deformations / J. Adamus
9406 — Pro-Finite Groups / J. Minác, reading course
9501 — Topics in Homotopy Theory I / P. Lowrey and H. Bacard, reading course

Summer 2012

9056 — Complex Analysis I / A. Boivin
Mid-May until the end of July. Details to be announced.
9140 — Representation Theory of Finite Groups / D. Christensen
9146 — Category Theory / A. Dhillon

Winter 2012

9020 — Field Theory / N. Lemire
9021 — General Topology / J. Adamus
9022 — Measure Theory / G. Sinnamon
9043 — Combinatorial Mathematics / G. Denham
9053 — Algebraic Geometry / A. Dhillon
9058 — Foundations of Mathematics / M. Dawes
9144 — Homological Algebra / G. Denham
9145 — Cryptography / M. Franz
9502 — Topics in Homotopy Theory II (Derived Algebraic Geometry) / P. Lowrey
9603 — Non-commutative geometry (Spectral Geometry) / M. Khalkhali
9607 — Complex Analytic Geometry / J. Adamus

Fall 2011

9023 — Rings and Modules / S. Rankin
9052 — Algebraic Topology / D. Christensen
9058 — Foundations of Mathematics / M. Dawes
9131 — Topics in Functional Analysis / A. Boivin Reading course;
9160 — Smooth Manifolds / R. Shafikov
9302 — Riemann Surfaces / M. Khalkhali
9306 — Banach Function Spaces / G. Sinnamon
9403 — Topics in Linear Algebraic Groups / L. Renner Reading course;
9405 — Polynomial Identity Algebras / D. Riley
Reading course
9413 — Milnor K-Theory / J. Minác; course outline
9501 — Topics in Homotopy Theory I (Higher Category Theory) / M. Robertson

Summer 2011

9140 — Representation Theory of Finite Groups / M. Khalkhali
9054 — Functional Analysis / A. Boivin
9062 — Analytic Number Theory / A. Dhillon
9310 — Topics in complex analysis / R. Shafikov

Winter 2011

9020B — Field Theory / M. Franz
9021B — General Topology / S. Tohaneanu
9022B — Introduction to Measure Theory / M. Khalkhali
9059B — Special Topics (Commutative Algebra) / L. Renner
9142B — Linear Algebraic Groups / L. Renner
9143B — Introduction to Lie Algebra / M. Franz
9152B — Algebraic Topology II / D. Christensen
9500B — Algebraic K-Theory / R. Jardine
9506B — Index Theory / M. Khalkhali

Fall 2010

9023A — Rings and Modules / N. Lemire
9051A — Algebraic Number Theory / J. Minác
9052A — Algebraic Topology / D. Christensen
9055A — Calculus on Manifolds / T. Foth
9056A — Complex Analysis I / S. Randriambololona
9501A — Topics in Homotopy Theory I / R. Jardine
9508A — Topological K-Theory / M. Pinsonnault

2009-2010

9020B — Field Theory / S. Rankin
9021B — General Topology / R. Kane
9022B — Intro. to Measure Theory / P. Milnes
9023A — Rings and Modules / D. Riley
9052A — Algebraic Topology / R. Kane
9053A — Algebraic Geometry / A. Dhillon
9054A — Intro. to Functional Analysis (Hilbert spaces) / M. Khalkhali
9056B — Complex Analysis I / R. Shafikov
9131B — Topics in Functional Analysis (Banach spaces)
9140B — Representation Theory / D. Christensen
9144A — Homological Algebra / R. Jardine
9147A — Intro. to Lie Groups / M. Pinsonnault
9151B — Homotopy Theory / R. Jardine
9160A — Smooth Manifolds / M. Khalkhali
9303A — Several Complex Variables / R. Shafikov
9406B — Profinite Groups / D. Riley
9410A — Topics in Galois Theory II (Étale Algebras) / J. Minác
9502B — Topics in Homotopy Theory II (Homotopy Theory of Stacks) / R. Jardine
9507B — Topics in Toric Topology / M. Franz
9607A — Complex Analytic Geometry / J. Adamus
9610B — Intro. to Sheaves and Schemes / J. Adamus
9611B — Topics in Symplectic Geometry / M. Pinsonnault

2008-2009

9020B — Field Theory / J. Minác
9021A — General Topology / R. Kane
9022B — Intro. to Measure Theory / A. Dhillon
9043A — Combinatorial Mathematics I / J. Minác
9051B — Algebraic Number Theory / J. Minác
9052B — Algebraic Topology I / R. Kane
9054A — Functional Analysis I / T. Foth
9056A — Complex Analysis I / A. Boivin
9057B — Complex Analysis II / A. Boivin
9058A — Foundation of Mathematics / M. Dawes
9141B — Commutative Algebra / N. Lemire
9144B — Homological Algebra / G. Denham
9152A — Algebraic Topology II / D. Christensen
9170B — Methods of Quantum Computing / M. Khalkhali
9302B — Riemann surfaces / R. Shafikov
9403A — Topics in Linear Algebraic Groups ("Topology of Groups Embeddings") / L. Renner
9405B — Polynomial Identity Algebras / D. Riley
9409A — Topics in Galois Theory (Galois p-Groups) / J. Minác
9500A — K-Theory / R. Jardine
9501B — Topics in Homotopy Theory I (Local Homotopy Theory) / R. Jardine
9601B — Symplectic Geometry / M. Franz
9608A — Topics in Complex Analytic Geometry / J. Adamus
9609A — Morse Theory / M. Pinsonnault
9610A — Topics in Complex Geometry (Holomorphic Structures in Noncommutative Geometry) / M. Khalkhali

Graduate Program

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