Lecture Notes : Complex Variables II , Spring 2007

Geometric Complexity Theory: Introduction

Foreword These are lectures notes for the introductory graduate courses on geometric complexity theory (GCT) in the computer science department, the university of Chicago. Part I consists of the lecture notes for the course given by the first author in the spring quarter, 2007. It gives introduction to the basic structure of GCT. Part II consists of the lecture notes for the course given by the...

Homological Algebra - Lecture Notes Lectures by Paul Balmer Notes by Geunho Gim

These notes are based on the course Math 212, Homological Algebra given by professor Paul Balmer on Spring 2014. Most of these notes were live-TEXed in class. The footnotes are added by me.

Lecture Notes: Distributed Algorithms

This booklet includes lecture notes from parallel and distributed computing course I taught in Fall 07, Spring 08, and Fall 08 at the Kent State University, USA. I wrote a good part of these notes in Fall 2007; I revise them every time I teach the course. The problems in the notes have been used in class lectures, homework assignments, or exams. You can nd a collection of homework assignments a...

Digital Geometry and Mathematical Morphology Lecture Notes , Spring Semester 2004

Symplectic Toric Varieties

These are the notes of two lectures given at the Mini Spring School An introduction to the mathematics of string theory held at Adelaide University in November 2002. It is a leisurely introduction to the mathematics surrounding toric varieties. Lecture I. Aims of Lecture I. (i) To contrast topological, Riemannian, symplectic and complex structures; (ii) to set up various topological objects tha...