GREGORY L. NABER

 

Department of Mathematics

Drexel University

Korman Center

3141 Chestnut Street

Philadelphia, PA 19104

 

e-mail:  gln22@drexel.edu

Office:  Korman Center 261

Office Phone:  215-895-6998

 

Curriculum Vitae

Some Book Review

 

Second Editions:     Topology, Geometry and Gauge Fields: Foundations

                               Topology, Geometry and Gauge Fields: Interactions

                               The Geometry of Minkowski Spacetime

                                                                                              

COURSES:                       FALL 2011                        WINTER 2012                     SPRING 2012        

                                                                        

                                                    

Assorted Lecture Notes:

              

CALCULUS

COMPLEX VARIABLES

TOPOLOGY AND MANIFOLDS   

ALGEBRAIC TOPOLOGY

ABSTRACT ALGEBRA

INTRODUCTORY REAL ANALYSIS

PROBLEM SOLVING SEMINAR

 

LECTURES ON THE WITTEN CONJECTURE

 

LECTURES ON LOCALIZATION AND EQUIVARIANT COHOMOLOGY

 

Fiber Bundles in Mathematics and Physics

"Topological" Results in General Relativity: Singularity Theorems

Localization and Stationary Phase Approximation

Differential Topology and Physics: The Witten Conjecture

Supersymmetry and Topology

(Nonrelativistic) Classical Mechanics

Equivariant Cohomology and the Witten Lagrangian

Invariant Subspaces for the Family of Operators that Commute with a Compact Operator

Reproducing Kernels and Group Representations

 

Introduction to Donaldson and Seiberg-Witten Theories:

 

                         Appendix to Topology, Geometry and Gauge Fields: FoundationsDonaldson's Theorem

                         Appendix to Topology, Geometry and Gauge Fields: Interactions:   Seiberg-Witten Gauge Theory

 

 

GEOMETRY, INTEGRABILITY AND QUANTIZATION