MATH 533 Algebraic Topology & MATH 538 Riemannian Geometry II
                                                                 
Instructor: Dimiter Vassilev     Office :  SMLC, Office 326  Email: vassilev@unm.edu  Phone Number: 505 277 2136

The class is hybrid: T 14:00-15:15 SMLC 120 & Th 14:00-15:15 on Microsoft Office Teams. You need to be registered for the course with a @unm.edu email. Any other email will disable features of Microsoft Teams.


Office Hours: Wednesday 10am-11am and 2pm-3pm on MS Teams. Office hours will be through Microsoft Office Teams
Description: Morse theory in finite and infinite dimensions. Applications in geometry and existence of solutions to variational problems and partial differential equations

Textbook: Class Notes based mainly on the following books and papers.

  1. Milnor J. Morse theory
  2. Damascelli, Pacella Morse Index of Solutions of Nonlinear Elliptic Equations. (De Gruyter Series in Nonlinear Analysis and Applications 30)(2019)
  3. A. Bahri, Critical points at infinity in some variational problems. Pitman Research Notes in Mathematics, 1988.
  4. Benci, V. (1995). Introduction to Morse Theory a New Approach. Topological Nonlinear Analysis
  5. Nikolaos S. Papageorgiou, Vicentiu D. Radulescu, Dušan D. Repovš, Nonlinear Analysis - Theory and Methods, (free on unm network at SpringerLink).

 Grades: The final grade will be based on in-class participation.
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