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Mathematics

D-Index
45
Citations
7647
World Ranking
1485
National Ranking
21

Overview

Osamu Iyama is affiliated with the University of Tokyo in Japan. Their research primarily focuses on the field of Mathematics, with a substantial body of work spanning 87 publications in this area. Iyama's work is notably concentrated in several subfields, including Geometry and Topology, Algebra and Number Theory, Mathematical Physics, Statistical and Nonlinear Physics, and Discrete Mathematics and Combinatorics.

The main topics covered in Iyama's research include:

  • Algebraic structures and combinatorial models
  • Advanced Topics in Algebra
  • Nonlinear Waves and Solitons
  • Commutative Algebra and Its Applications
  • Rings, Modules, and Algebras
  • Algebraic Geometry and Number Theory
  • Homotopy and Cohomology in Algebraic Topology

Iyama has published extensively in various academic venues. Frequent publication venues include:

  • arXiv (Cornell University)
  • Advances in Mathematics
  • Transactions of the American Mathematical Society Series B
  • Oberwolfach Reports
  • International Mathematics Research Notices

Recent notable papers authored or co-authored by Iyama are:

  • "Auslander-Reiten theory in extriangulated categories," 2024, published in Transactions of the American Mathematical Society Series B
  • "Representation Theory of Geigle-Lenzing Complete Intersections," 2023, published in Memoirs of the American Mathematical Society (co-author Martin Herschend)
  • "Lattice theory of torsion classes: Beyond -tilting theory," 2023, published in Transactions of the American Mathematical Society Series B (co-author Laurent Demonet)
  • "d-Representation-finite self-injective algebras," 2020, published in Advances in Mathematics (co-author Erik Darpö)
  • "Quotients of triangulated categories and Equivalences of Buchweitz, Orlov, and Amiot-Guo-Keller," 2020, published in American Journal of Mathematics

Frequent collaborators in Iyama's work include:

  • René Marczinzik
  • Aaron Chan
  • Yuta Kimura
  • Erik Darpö
  • Sota Asai

Best Publications

  • Mutation in triangulated categories and rigid Cohen–Macaulay modules

    Osamu Iyama;Yuji Yoshino

  • Higher-dimensional Auslander–Reiten theory on maximal orthogonal subcategories

    Osamu Iyama

  • Silting mutation in triangulated categories

    Takuma Aihara;Osamu Iyama

  • Cluster structures for 2-Calabi-Yau categories and unipotent groups

    A. B. Buan;O. Iyama;I. Reiten;J. Scott

  • Cluster tilting for higher Auslander algebras

    Osamu Iyama

  • $\tau $-tilting theory

    Unknown

  • Fomin-Zelevinsky mutation and tilting modules over Calabi-Yau algebras

    Osamu Iyama;Idun Reiten

  • Auslander correspondence

    Unknown

  • Finiteness of representation dimension

    Osamu Iyama

  • $ au$-tilting finite algebras, bricks and $g$-vectors

    Laurent Demonet;Osamu Iyama;Gustavo Jasso

  • Cluster tilting for one-dimensional hypersurface singularities

    Igor Burban;Osamu Iyama;Bernhard Keller;Idun Reiten

  • Mutation of cluster-tilting objects and potentials

    Aslak Bakke Buan;Osamu Iyama;Idun Reiten;David Smith

  • $n$-representation-finite algebras and $n$-APR tilting

    Osamu Iyama;Steffen Oppermann

  • Stable categories of higher preprojective algebras

    Osamu Iyama;Steffen Oppermann

  • Maximal Modifications and Auslander-Reiten Duality for Non-isolated Singularities

    Osamu Iyama;Michael Wemyss

  • Radical embeddings and representation dimension

    Karin Erdmann;Thorsten Holm;Osamu Iyama;Jan Schröer

  • Stable categories of Cohen-Macaulay modules and cluster categories

    Claire Amiot;Osamu Iyama;Idun Reiten

  • Silting reduction and Calabi–Yau reduction of triangulated categories

    Osamu Iyama;Dong Yang

  • au-tilting theory

    Takahide Adachi;Osamu Iyama;Idun Reiten

  • Lattice theory of torsion classes

    Laurent Demonet;Osamu Iyama;Nathan Reading;Idun Reiten

  • Intermediate co-$t$-structures, two-term silting objects, $ au$-tilting modules, and torsion classes

    Osamu Iyama;Peter Jørgensen;Dong Yang

  • $oldsymbol{ au}$-Tilting Finite Algebras, Bricks, and $oldsymbol{g}$-Vectors

    Laurent Demonet;Osamu Iyama;Gustavo Jasso

Frequent Co-Authors

Idun Reiten
Idun Reiten Norwegian University of Science and Technology
Bernhard Keller
Bernhard Keller Université Paris Cité
Atsuo Kuniba
Atsuo Kuniba University of Tokyo
Henning Krause
Henning Krause Bielefeld University

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