| Instructor | Graham Denham |
|---|---|
| Office hours | by appointment |
| Class times | MWF 10:30-11:20 |
| Class location | by Zoom |
Class times
The class will meet online using Zoom:
- Monday, Wednesday, Friday 10:30-11:20AM EDT
Office hours will take place by Zoom as well, by appointment.
Reading
The textbook A Course in Convexity (Alexander Barvinok) is available in an electronic edition (on sale!). The classic Convex Bodies: The Brunn-Minkowski Theory (Rolf Schneider) supplements some of the topics.
Syllabus
This is an introductory course -- the prerequisites are undergraduate-level analysis, topology, and linear algebra. Convex geometry is closely tied to applications in optimization; however, it is remarkable for its applications in other areas of mathematics, from combinatorics to algebraic geometry. Topics will include
- convex hulls: Theorems of Caratheodory, Radon, and Helly
- cones, polyhedra and polytopes. Combinatorics of faces.
- convex sets and lattice points
- rational polytopes and the Ehrhart polynomial
- the algebra of polyhedra
- volumes, mixed volumes, quermassintegrals, and the Alexandrov-Fenschel inequalities
Evaluation
Evaluation will be based on class participation (10%); homework assignments (50%); a final exam (40%).
The final, oral exam will also take place by Zoom.
Please see the class OWL site for announcements, assignments, and more materials.
Remote teaching requirements
Since this course will be taught remotely, students will be expected to have
- a stable internet connection
- videoconferencing capability (including a working microphone and camera)
- students are expected to participate in class with video on; please plan your workspace accordingly
Postal Address
Department of Mathematics
Middlesex College
University of Western Ontario
London, ON N6A 5B7
Canada
Contact
| Email: |  |
| Phone: | +1 519 661 2111 x86527 |
| Office: | MC 118 |
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