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. The main goal of my research is to find connections between different fields of mathematics. For example, I am currently trying to explain why the formula for Reidemeister torsion resembles the Caldero-Chapoton formula for cluster variables. There is also a known bijection between labelled trees and exceptional sequences which I am trying to ``improve'' to get new results. I teach advanced graduate courses in Algebra, Topology and this semester I am teaching an advanced Complex Geometry course. Webpage
|MATH||23b||Introduction to Proofs|
|MATH||39a||Introduction to Combinatorics|
|MATH||100b||Introduction to Algebra, Part II|
|MATH||104a||Introduction to Topology|
|MATH||202a||Algebraic Geometry I|
|MATH||250b||Complex Algebraic Geometry II|
Awards and Honors
Fellow of the American Mathematical Society (2012)
Sloan Fellowship (1981 - 1983)
Goodwillie, Thomas, Igusa, Kiyoshi and Ohrt, Chris. "An Equivariant Version of Hatcher's G/O Construction." Journal of Topology 8. 3 (2015): 675-690.
Igusa, Kiyoshi and Todorov, Gordana. "Cluster categories coming from cyclic posets." Communications in Algebra 43. 10 (2015): 4367-4402.
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.