Goldsmith Building, 305
DegreesPrinceton University, Ph.D.
University of Chicago, B.A.
ExpertiseRepresentation theory, Homological Algebra, Algebraic Topology
ProfileI do research in representation theory of quivers, and its relationship to topology.he main goal of my research is to find connections between different fields of mathematics. For example, I apply concepts from Physics (string theory) to algebra. For example the mutation formula used in algebra was first discovered by Seiberg and was called ``Seiberg duality''. I teach advanced graduate courses in Algebra, Topology and I have also taught Mathematical Statistics and Stochastic Processes. Webpage
|MATH||22a||Linear Algebra and Intermediate Calculus, Part I|
|MATH||22b||Linear Algebra and Intermediate Calculus, Part II|
|MATH||23b||Introduction to Proofs|
|MATH||39a||Introduction to Combinatorics|
|MATH||104a||Introduction to Topology|
|MATH||202a||Algebraic Geometry I|
Awards and Honors
Fellow of the American Mathematical Society (2012)
Sloan Fellowship (1981 - 1983)
Igusa, Kiyoshi and Todorov, Gordana. "Continuous cluster categories." Algebra and Representation Theory 2015. 18 (2015): 65–101.
Kiyoshi Igusa and Gordana Todorov. Continuous Frobenius categories. Proc. of Abel Symposium 2011. Trondheim, Norway: Springer, 2014.
Sebastian Goette and Kiyoshi Igusa. "Exotic smooth structures on topological fiber bundles II." Transactions of AMS 366. 2 (2014): 791-832.
Sebastian Goette, Kiyoshi Igusa and Bruce Williams. "Exotic smooth structures on topological fiber bundles I." Transactions of AMS 366. 2 (2014): 749-790.
Ibrahim Assem, Juan Carlos Bustamante, Kiyoshi Igusa and Ralf Schiffler. "The first Hochschild cohomology group of a cluster-tilted algebra revisited." International Journal of Algebra and Computation 23. 4 (2013): 729-744.
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.