Graduate Courses in Mathematics

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

Winter courses start January 7, 2019, 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 2019

Math 9020B/4120B — *Field Theory / N. Lemire; Tu 9:30-11:30, Th 9:30-10:30, MC 108.
Math 9022B/4122B — *Introduction to Measure Theory / J. Adamus; MWF 1:30-2:30, MC 107.
Math 9052B/4152B — *Algebraic Topology / D. Christensen; MWF 10:30-11:30, MC 108.
Math 9133B — *Real Analysis / R. Shafikov; Tu 1:30-2:30, Th 10:30-12:30, MC 107.
Math 9141B — *Commutative Algebra / A. Dhillon; MWF 12:30-1:30, MC 108.
Math 9144B — *Homological Algebra / G. Denham; MWF 1:30-2:30, MC 108.
Math 9607B — Complex Analytic Geometry / J. Adamus; MW 11:30-1:00, MC 107.

Summer 2019

Math 9155A — Category Theory / K. Kapulkin; TuTh 10-12, May 7 to July 4
Math 9302A — Riemann Surfaces / M. Khalkhali [link is to past offering and will be updated]; MW 1-3, May 6 to July 3

Past graduate courses

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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