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G2 Manifolds

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Here is a list of all the courses I have taught, in reverse chronological order and by institution. I used to make available previous assignments and solutions. Unfortuntately, due to unethical/unprofessional use of these materials by others (without my consent), I have been forced to remove these materials.

University of Waterloo; 2016-

  • [066] PMATH 965: "Topics in Geometry and Topology: Harmonic Maps" - Winter 2025
  • [065] MATH 146: "Linear Algebra 1 (Advanced Level)" - Winter 2025
  • [064] PMATH 333: "Introduction to Real Analysis" - Fall 2023
  • [063] MATH 247: "Calculus 3 (Advanced Level)" - Fall 2023
  • [062] PMATH 868: "Connections and Riemannian Geometry" - Winter 2023
  • [061] PMATH 965: "Topics in Geometry and Topology: A Second Course in Riemannian Geometry" - Fall 2022
  • [060] MATH 247: "Calculus 3 (Advanced Level)" - Fall 2022
  • [059] PMATH 868: "Connections and Riemannian Geometry" - Winter 2022
  • [058] PMATH 352: "Complex Analysis" - Winter 2022
  • [057] PMATH 465/665: "Smooth Manifolds" - Fall 2021
  • [056] PMATH 868: "Connections and Riemannian Geometry" - Winter 2021
  • [055] PMATH 945: "Topics in Algebra: Clifford Algebras, Spinors, and Calibrations" - Fall 2020
  • [054] PMATH 465/665: "Smooth Manifolds" - Fall 2020
  • [053] PMATH 365: "Differential Geometry" - Winter 2020
  • [052] PMATH 352: "Complex Analysis" - Winter 2020
  • [051] PMATH 365: "Differential Geometry" - Winter 2019
  • [050] PMATH 965: "Topics in Geometry and Topology: Special Riemannian Structures" - Winter 2019
  • [049] PMATH 499: "Introduction to Twistor Theory (Reading Course)" - Fall 2018
  • [048] MATH 237: "Calculus 3 for Honours Mathematics" - Course Coordinator - Spring 2018
  • [047] MATH 245: "Linear Algebra 2 (Advanced Level)" - Spring 2018
  • [046] MATH 237: "Calculus 3 for Honours Mathematics" - Course Coordinator - Winter 2018
  • [045] MATH 247: "Calculus 3 (Advanced Level)" - Winter 2018
  • [044] PMATH 950: "Topics in Analysis: Differential Analysis" - Winter 2017
  • [043] PMATH 690: "Kähler Geometry (Reading Course)" - Fall 2016
  • [042] PMATH 465/665: "Geometry of Manifolds" - Fall 2016
  • [041] MATH 237: "Calculus 3 for Honours Mathematics" - Fall 2016
  • [040] PMATH 332 / AMATH 332: "Applied Complex Analysis" - Winter 2016
  • [039] MATH 247: "Calculus 3 (Advanced Level)" - Winter 2016

McGill University; 2015

  • [038] MATH 706: "Advanced Topics in Geometry and Topology 1: G2 manifolds" - Fall 2015

University of Waterloo; 2013-2015

  • [037] PMATH 763: "Introduction to Lie groups and Lie algebras" - Winter 2015
  • [036] MATH 247: "Calculus 3 (Advanced Level)" - Winter 2015
  • [035] PMATH 955: "Topics in Geometry: The Atiyah-Singer Index Theorem" - Winter 2014
  • [034] PMATH 465/665: "Riemannian Geometry" - Fall 2013
  • [033] PMATH 499: "Kähler Geometry (Reading Course)" - Spring 2013
  • [032] PMATH 365: "Smooth Manifolds" - Winter 2013
  • [031] MATH 146: "Linear Algebra 1 (Advanced Level)" - Winter 2013

Columbia University; 2012

  • [030] MATH G6273: Special holonomy and calibrations - Fall 2012

University of Waterloo; 2009-2012

  • [029] PMATH 900: Topics in Algebra: Special Algebraic Structures - Winter 2012
  • [028] MATH 146: "Linear Algebra 1 (Advanced Level)" - Winter 2012
  • [027] MATH 237: "Calculus 3 for Honours Mathematics" - Fall 2011
  • [026] PMATH 499: "Variational Methods in Riemannian Geometry (Reading Course)" - Spring 2011
  • [025] PMATH 955: "Topics in Geometry: Complex and Kähler Manifolds" - Winter 2011
  • [024] PMATH 365 / AMATH 333: "Elementary Differential Geometry" - Winter 2011
  • [023] PMATH 465 / AMATH 433 / PMATH 665: "Differential Geometry" - Winter 2010
  • [022] PMATH 690: "Smooth Methods in Algebraic Topology (Reading Course)" - Fall 2009
  • [021] MATH 247: "Calculus 3 (Advanced Level)" - Fall 2009
  • [020] MATH 235: "Linear Algebra 2 for Honours Mathematics" - Fall 2009
  • [019] PMATH 365 / AMATH 333: "Elementary Differential Geometry" - Winter 2009

McGill University; 2006-2007

  • [018] MATH 348C: "Topics in Geometry" - Summer 2007
  • [017] MATH 348C: "Topics in Geometry" - Summer 2006

Michigan State University; 2005-2006

  • [016] MATH 432-2: "Axiomatic Geometry" - Spring 2006
  • [015] MATH 132-1: "Calculus I" - Spring 2006
  • [014] MATH 132-19: "Calculus I" - Fall 2005
  • [013] MATH 132-2: "Calculus I" - Fall 2005

McMaster University; 2003-2005

  • [012] MATH 764: "Topics in Differential Geometry and Global Analysis: Holonomy" - Winter 2005
  • [011] MATH 2Q04: "Advanced Calculus for Engineering" - Winter 2004

Harvard University; 1997-2003

  • [010] MATH 21b: "Linear Algebra and Differential Equations" - Spring 2003
  • [009] TUTORIAL: "Quantum Mechanics for the Masses and the Massless" - Spring 2003
  • [008] MATH 21a: "Multivariable Calculus (Physics Section)" - Fall 2002
  • [007] MATH 21a: "Multivariable Calculus (Regular Section)" - Spring 2002
  • [006] MATH 21a: "Multivariable Calculus (Physics Section)" - Spring 2002
  • [005] MATH 21b: "Linear Algebra and Differential Equations" - Fall 2001
  • [004] MATH 21a: "Multivariable Calculus (Physics Section)" - Fall 2000
  • [003] TUTORIAL: "Geometry of Spacetime" - Summer 2000
  • [002] TUTORIAL: "Geometry and Gauge Theory" - Spring 2000
  • [001] MATH 21a: "Multivariable Calculus (Physics Section)" - Fall 1999

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