Faculty Guide

Title

Professor of Mathematics

Mathematics

Expertise

Geometric topology. Homological algebra.

Awards and Honors

Fellow of the American Mathematical Society (2012)

Sloan Fellowship (1981 - 1983)

Courses Taught

MATH	22a	Linear Algebra and Intermediate Calculus, Part I
MATH	22b	Linear Algebra and Intermediate Calculus, Part II
MATH	23b	Introduction to Proofs
MATH	30a	Introduction to Algebra, Part I
MATH	36b	Mathematical Statistics
MATH	47a	Introduction to Mathematical Research
MATH	104a	Introduction to Topology
MATH	121b	Topology II
MATH	200a	Second-Year Seminar
MATH	205b	Commutative Algebra
MATH	223a	Lie Algebras

Scholarship

Igusa, Kiyoshi, Cesar P. Milies, Ed.. Exceptional sequences, braid groups and clusters. Proc. of XVIII Latin-American Algebra Colloquium. Sao Pedro, Brazil: Contemporary Mathematics, 2011.

Igusa, Kiyoshi. "Twisting cochains and higher torsion." Journal of Homotopy and Related Structures 6. 2 (2011): 213-238.

Kiyoshi Igusa, Shiping Liu and Charles Paquette. "A proof of the strong no loop conjecture." Advances in Mathematics 228 (2011): 2731-2742.

Igusa, Kiyoshi and Schiffler, Ralf. "Exceptional sequences and clusters." Journal of Algebra 323. no. 8 (2010): 2183--2202.

Igusa, Kiyoshi; Orr, Kent; Todorov, Gordana; Weyman, Jerzy. "Cluster complexes via semi-invariants." Compositio Mathematica 145. no 4 (2009): 1001--1034.

Igusa, Kiyoshi. "Axioms for higher torsion invariants of smooth bundles." Journal of Topology 1. 1 (2008): 159-186.

Igusa, Kiyoshi. Pontrjagin classes and higher torsion of sphere bundles. Proc. of Groups of Diffeomorphisms 2006. University of Tokyo, Japan: Mathematical Society of Japan, 2008.

Igusa, Kiyoshi. Higher complex torsion and the framing principle. Providence, RI: American Mathematical Society, 2005.