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FOUNDATIONS OF QUANTUM MECHANICS:
AN INTRODUCTION TO THE PHYSICAL BACKGROUND AND MATHEMATICAL STRUCTURE

Download PDF – QM Abstract

Download PDF – Foundations of Quantum Mechanics


KLEIN-GORDON:
AN INTRODUCTION TO THE MATHEMATICS OF SCALAR QUANTUM FIELDS

1st Installment:

Positive Energy Representations of the Poincare Group:
A Sketch of the Positive Mass Case and its Physical Background

Download PDF – Positive Energy Representations

2nd Installment:

Classical Klein-Gordon Fields:
Lagrangian and Hamiltonian Formulations

Download PDF – Classical Klein-Gordon Fields

3rd Installment:

Quantized Klein-Gordon Fields:
The Perspective from Physics

4th Installment:

Wightman Axioms for Quantum Field Theory:
Quantized Klein-Gordon Fields


ASSORTED LECTURE NOTES

COURSES:

CALCULUS

COMPLEX VARIABLES

TOPOLOGY AND MANIFOLDS

ALGEBRAIC TOPOLOGY

ABSTRACT ALGEBRA

INTRODUCTORY REAL ANALYSIS

PROBLEM SOLVING SEMINAR

SEMINARS:

WITTEN CONJECTURE

YANG-MILLS TO SEIBERG-WITTEN (PLUS APPENDICES)

GAUGE FIELDS AND GEOMETRY (A PICTURE BOOK)

GAUGE FIELDS AND GEOMETRY (APPENDICES)

LOCALIZATION AND EQUIVARIANT COHOMOLOGY

FIBER BUNDLES IN MATHEMATICS AND PHYSICS

‘TOPOLOGICAL’ RESULTS IN GENERAL RELATIVITY

LOCALIZATION AND STATIONARY PHASE APPROXIMATION

DIFFERENTIAL TOPOLOGY AND PHYSICS

INVARIANT SUBSPACES PROBLEM

INVARIANT SUBSPACES (LOMONOSOV’S THEOREM)

REPRODUCING KERNELS AND GROUP REPRESENTATIONS