## IYAMA, Osamu

 Title Professor Field Algebra, Ring theory, Representation theory Research interests Representation theory of orders Current research My research subjects are rings (e.g. quivers, orders, commutative rings, dg categories), their representations, associated categorical structures (e.g. module category, derived category, singularity category, cluster category) and their applications (e.g. cluster algebra, non-commutative resolutions of singularities). Selected publications M. Herschend, O. Iyama, H. Minamoto, S. Oppermann, Representation theory of Geigle-Lenzing complete intersections, to appear in Mem. Amer. Math. Soc. O. Iyama, Tilting Cohen-Macaulay representations, Proceedings of the International Congress of Mathematicians--Rio de Janeiro 2018. Vol. II. Invited lectures, 125--162, World Sci. Publ., Hackensack, NJ, 2018. O. Iyama, M. Wemyss, Maximal modifications and Auslander-Reiten duality for non-isolated singularities, Invent. Math. 197 (2014), no. 3, 521--586. T. Adachi, O. Iyama, I. Reiten, $τ$-tilting theory, Compos. Math. 150 (2014), no. 3, 415--452. O. Iyama, Y. Yoshino, Mutation in triangulated categories and rigid Cohen-Macaulay modules, Invent. Math. 172 (2008), no. 1, 117--168. O. Iyama, Auslander correspondence, Adv. Math. 210 (2007), no. 1, 51--82. O. Iyama, Higher-dimensional Auslander-Reiten theory on maximal orthogonal subcategories, Adv. Math. 210 (2007), no. 1, 22--50. O. Iyama, Finiteness of Representation dimension, Proc. Amer. Math. Soc. 131 (2003), no. 4, 1011--1014. Memberships, Awards and activities The Mathematical Society of Japan 2019 Inoue Prize for Science of Inoue Foundation for Science 2011 JSPS Prize of Japan Society of Promotion of Science 2010 Spring Prize of the Mathematical Society of Japan 2008 Algebra Prize of the Mathematical Society of Japan 2007 ICRA (International Conference on Representations of Algebras) Award 2001 Takebe Katahiro Prize of the Mathematical Society of Japan Mathematische Zeitschrift, Nagoya Mathematical Journal (editor)