James D Lewis

Prof & Assoc Chair/Research, Faculty of Science - Mathematics & Statistical Sciences

Contact

Prof & Assoc Chair/Research, Faculty of Science - Mathematics & Statistical Sciences
Email
lewisjd@gpu.srv.ualberta.ca

Overview

Research

Areas

Algebraic Geometry, Algebraic Cycles

Courses

MATH 311 - Theory of Functions of a Complex Variable

Complex numbers. Complex series. Functions of a complex variable. Cauchy's theorem and contour integration. Residue Theorem and its applications. Prerequisite or corequisite: A Calculus IV course.

Fall Term 2020 Winter Term 2021
MATH 521 - Differential Manifolds

Finite dimensional manifolds/submanifolds; tangent bundle, differential, inverse, and implicit function theorems, partitions of unity; imbeddings, immersions, submersions; vector fields and associated flows; Lie derivative, Lie bracket; tensor analysis, differential forms, orientation, integration, Stokes' theorem; basics of smooth bundle theory, Riemannian metrics; notion of a Lie group with basic examples, smooth Lie group actions, principal bundles. Prerequisite: MATH 446 or 448.

Fall Term 2020

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