** Kiyoshi Igusa**

**Professor, Brandeis University**

Ph.D., Princeton University, Advisor: Allen Hatcher

**Research Interests:**

- Representations of quivers
- Algebraically triangulated categories
- Picture monoids
- Applications of topology to representation theory

- The 16th Maurice Auslander Distinguished Lectures and International Conference will be held April 26-May 1, 2017 at Woods Hole Oceanographic Institute in Woods Hole, MA. David J. Benson of the University of Aberdeen will deliver the Distinguished Lectures on April 29 and 30.
- The 15th Maurice Auslander Distinguished Lectures and International Conference was held April 27-May 2, 2016, with Distinguished Lectures on April 30 and May 1 by Henning Krause. Expository speakers were Nathan Reading, Sverre Smalo, Jan Trlifaj, Milen Yakimov, Dan Zacharia. Click here for details.
- In 2015, the Maurice Auslander Distinguished Lectures and International Conference, was held April 29-May 4, 2015. The Distinquished Speaker, Osamu Iyama from the Nagoya University, delivered two remarkable lectures (click here for video and slides). Expository speakers were Lidia Angelerei Hugel, Peter Jorgensen, Chelsea Walton, Ralf Schiffler.
- The Distinuished Lecturer in 2014 was Luchezar Avramov from the University of Nebraska.
- The correct link for Maurice Auslander Distinguished Lectures and International Conference is "http://www.northeastern.edu/martsinkovsky/p/MADL/MADL.html"

Also working on:

- Math 151a: Topology I (If the link doesn't work, just scroll down.)

Kiyoshi Igusa

Department of Mathematics

Brandeis University

P O Box 9110

Waltham, MA 02454-9110

Office telephone: (781) 736-3062 (but I prefer email)

Email: igusa(at)brandeis(dot)edu

FAX: (781) 736-3085

**Math 151a (Algebraic Topology)**
**Kiyoshi Igusa**
**Fall 2016**

Updated: 07/02/16, 11pam

What is new: I started this webpage.

**Office**

- Location: Goldsmith 305
- Office Hours: MW 11-12, R by appointment.
- Phone 3062.

Math 151a: Topology I (introduction to algebraic topology). The objective is to learn the fundamental concept of algebraic topology: We associate groups to topological spaces and use these groups to obtain information about the space. The basic topics are:

- Algebra: Fundamental group, homology, chain complexes. (To each space we get these things.)
- Topology: Simple examples of topological spaces, mostly ``Delta complexes'', surfaces. (We use very simple geometric objects, such as Klein bottles, as examples of the new ideas.)

**Syllabus** (not ready, LATTE will also be used)

**Lecture Notes** (planning)