Papers

Preprints

  1. S. Asai, O. Iyama, $M$-TF equivalences in the real Grothendieck groups, preprint written in 2024. (arXiv)
  2. O. Iyama, Y. Kimura, K. Ueyama, Cohen-Macaulay representations of Artin-Schelter Gorenstein algebras of dimension one, preprint written in 2024. (arXiv)
  3. O. Iyama, Y. Kimura, Torsion classes of extended Dynkin quivers over Noetherian rings, preprint written in 2023. (arXiv)
  4. T. Aoki, A. Higashitani, O. Iyama, R. Kase, Y. Mizuno, Fans and polytopes in tilting theory II: g-fans of rank 2, preprint written in 2023. (arXiv)
  5. A. Chan, O. Iyama, R. Marczinzik, Dominant Auslander-Gorenstein algebras and mixed cluster tilting, preprint written in 2022. (arXiv)
  6. N. Hanihara, O. Iyama, Enhanced Auslander-Reiten duality and Morita theorem for singularity categories, preprint written in 2022. (arXiv)
  7. O. Iyama, N. Williams, Triangulations of prisms and preprojective algebras of type A, to appear in Int. Math. Res. Not., preprint written in 2022. (arXiv)
  8. T. Aoki, A. Higashitani, O. Iyama, R. Kase, Y. Mizuno, Fans and polytopes in tilting theory I: Foundations, preprint written in 2022. (arXiv)
  9. S. Asai, O. Iyama, Semistable torsion classes and canonical decompositions in Grothendieck groups, preprint written in 2021. (arXiv)
  10. A. Chan, E. Darpö, O. Iyama, R. Marczinzik, Periodic trivial extension algebras and fractionally Calabi-Yau algebras, preprint written in 2020. (arXiv)
  11. O. Iyama, K. Kato, J. Miyachi, Polygon of recollements and $N$-complexes, preprint written in 2016. (arXiv)
  12. d-Calabi-Yau algebras and d-cluster tilting subcategories, note related to paper 2 below. (pdf)
  13. Rejective subcategories of artin algebras and orders, unpublished manuscript written in 2003. (arXiv)

Papers

  1. O. Iyama, Y. Kimura, Classifying subcategories of modules over Noetherian algebras, Adv. Math. 446 (2024), Paper No. 109631. (arXiv, journal)
  2. O. Iyama, H. Nakaoka, Y. Palu, Auslander-Reiten theory in extriangulated categories, Trans. Amer. Math. Soc. Ser. B 11 (2024), 248--305. (arXiv, journal)
  3. M. Herschend, O. Iyama, H. Minamoto, S. Oppermann, Representation theory of Geigle-Lenzing complete intersections, Mem. Amer. Math. Soc. 285 (2023), no. 1412. (arXiv, journal)
  4. L. Demonet, O. Iyama, N. Reading, I. Reiten, H. Thomas, Lattice theory of torsion classes: Beyond $\tau$-tilting theory. Trans. Amer. Math. Soc. Ser. B 10 (2023), 542--612. (arXiv, journal)
  5. O. Iyama, H. Jin, Positive Fuss-Catalan numbers and Simple-minded systems in negative Calabi-Yau categories, Int. Math. Res. Not. IMRN 2023, no. 8, 6624--6647. (arXiv, journal)
  6. O. Iyama, R. Marczinzik, Distributive lattices and Auslander regular algebras. Adv. Math. 398 (2022), Paper No. 108233. (arXiv, journal)
  7. J. Grant, O. Iyama, Higher preprojective algebras, Koszul algebras and superpotentials, Compos. Math. 156 (2020), no. 12, 2588--2627. (arXiv, journal)
  8. H. Dao, O. Iyama, R. Takahashi, M. Wemyss, Gorenstein modifications and Q-Gorenstein rings, J. Algebraic Geom. 29 (2020), no. 4, 729--751. (arXiv, journal)
  9. O. Iyama, D. Yang, Quotients of triangulated categories and Equivalences of Buchweitz, Orlov and Amiot-Guo-Keller, Amer. J. Math. 142 (2020), no. 5, 1641--1659. (arXiv, journal)
  10. O. Iyama, X. Zhang, Classifying $\tau$-tilting modules over the Auslander algebra of $K[x]/(x^n)$, J. Math. Soc. Japan 72 (2020), no. 3, 731--764. (arXiv, journal)
  11. R. Buchweitz, O. Iyama, K. Yamaura, Tilting theory for Gorenstein rings in dimension one. Forum Math. Sigma 8 (2020), Paper No. e36, 37 pp. (arXiv, journal)
  12. E. Darpö, O. Iyama, d-representation-finite self-injective algebras, Adv. Math. 362 (2020), 106932. (arXiv, journal)
  13. 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. (arXiv, journal)
  14. O. Iyama, M. Wemyss, Weighted Projective Lines and Rational Surface Singularities, Epijournal Geom. Algebrique 3 (2019), Art. 13. (arXiv, journal)
  15. O. Iyama, X. Zhang, Tilting modules over Auslander-Gorenstein algebras, Pacific J. Math. 298 (2019), no. 2, 399--416. (arXiv, journal)
  16. H. Dao, O. Iyama, S. Iyengar, R. Takahashi, M. Wemyss, Y. Yoshino, Noncommutative resolutions using syzygies, Bull. Lond. Math. Soc. 51 (2019), no. 1, 43--48. (arXiv, journal)
  17. L. Demonet, O. Iyama, G. Jasso, $\tau$-tilting finite algebras, bricks and $g$-vectors, Int. Math. Res. Not. IMRN 2019, no. 3, 852--892. (arXiv, journal)
  18. A. Chan, O. Iyama, R. Marczinzik, Auslander-Gorenstein algebras from Serre-formal algebras via replication, Adv. Math. 345 (2019), 222--262. (arXiv, journal)
  19. O. Iyama, D. Yang, Silting reduction and Calabi--Yau reduction of triangulated categories, Trans. Amer. Math. Soc. 370 (2018), no. 11, 7861--7898. (arXiv, journal)
  20. O. Iyama, N. Reading, I. Reiten, H. Thomas, Lattice structure of Weyl groups via representation theory of preprojective algebras, Compos. Math. 154 (2018), no. 6, 1269--1305. (arXiv, journal)
  21. O. Iyama, Y. Nakajima, On steady non-commutative crepant resolutions, J. Noncommut. Geom. 12 (2018), no. 2, 457--471. (arXiv, journal)
  22. O. Iyama, M. Wemyss, Reduction of triangulated categories and maximal modification algebras for cA_n singularities, J. Reine Angew. Math. 738 (2018), 149--202. (arXiv, journal)
  23. O. Iyama, O. Solberg, Auslander-Gorenstein algebras and precluster tilting, Adv. Math. 326 (2018), 200--240. (arXiv, journal)
  24. O. Iyama, K. Kato, J. Miyachi, Derived categories of $N$-complexes, J. Lond. Math. Soc. 96 (2017), no. 3, 687--716. (arXiv, journal)
  25. O. Iyama, G. Jasso, Higher Auslander correspondence for dualizing $R$-varieties, Algebr. Represent. Theory 20 (2017), no. 2, 335--354. (arXiv, journal)
  26. L. Demonet, O. Iyama, Lifting preprojective algebras to orders and categorifying partial flag varieties, Algebra Number Theory 10 (2016), no. 7, 1527--1579. (arXiv, journal)
  27. O. Iyama, B. Lerner, Tilting bundles on orders on $P^d$, Israel J. Math. 211 (2016), no. 1, 147--169. (arXiv, journal)
  28. O. Iyama, I. Reiten, H. Thomas, G. Todorov, Lattice structure of torsion classes for path algebras, Bull. Lond. Math. Soc. 47 (2015), no. 4, 639--650. (arXiv, journal)
  29. C. Amiot, O. Iyama, I. Reiten, Stable categories of Cohen-Macaulay modules and cluster categories, Amer. J. Math. 137 (2015), no. 3, 813--857. (arXiv, journal)
  30. H. Dao, O. Iyama, R. Takahashi, C. Vial, Non-commutative resolutions and Grothendieck groups, J. Noncommut. Geom. 9 (2015), no. 1, 21--34. (arXiv, journal)
  31. O. Iyama, P. Jorgensen, D. Yang, Intermediate co-t-structures, two-term silting objects, tau-tilting modules, and torsion classes, Algebra Number Theory 8 (2014), no. 10, 2413--2431. (arXiv, journal)
  32. M. Kalck, O. Iyama, M. Wemyss, D. Yang, Frobenius categories, Gorenstein algebras and rational surface singularities, Compos. Math. 151 (2015), no. 3, 502--534. (arXiv, journal)
  33. O. Iyama, M. Wemyss, Maximal modifications and Auslander-Reiten duality for non-isolated singularities, Invent. Math. 197 (2014), no. 3, 521--586. (arXiv, journal)
  34. O. Iyama, I. Reiten, Introduction to $\tau$-tilting theory, Proc. Natl. Acad. Sci. USA 111 (2014), no. 27, 9704--9711. (arXiv, journal)
  35. O. Iyama, M. Wemyss, Singular Derived Categories of Q-factorial terminalizations and Maximal Modification Algebras, Adv. Math. 261 (2014), 85--121. (arXiv, journal)
  36. T. Adachi, O. Iyama, I. Reiten, $\tau$-tilting theory, Compos. Math. 150 (2014), no. 3, 415--452. (arXiv, journal)
  37. M. Herschend, O. Iyama, S. Oppermann, n-representation infinite algebras, Adv. Math. 252 (2014), 292--342. (arXiv, journal)
  38. T. Aihara, T. Araya, O. Iyama, R. Takahashi, M. Yoshiwaki, Dimensions of triangulated categories with respect to subcategories, J. Algebra 399 (2014), 205--219. (arXiv, journal)
  39. O. Iyama, Mutation and $g$-vectors in $\tau$-tilting theory, Oberwolfach Report (2013), 3397--3400. (pdf, journal)
  40. O. Iyama, M. Wemyss, On the Noncommutative Bondal-Orlov Conjecture, J. Reine Angew. Math. 683 (2013), 119--128. (arXiv, journal)
  41. O. Iyama, R. Takahashi, Tilting and cluster tilting for quotient singularities, Math. Ann. 356 (2013), no. 3, 1065--1105. (arXiv, journal)
  42. O. Iyama, S. Oppermann, Stable categories of higher preprojective algebras, Adv. Math. 244 (2013), 23--68. (arXiv, journal)
  43. R. Inoue, O. Iyama, B. Keller, A. Kuniba, T. Nakanishi, Periodicities of T and Y-systems, dilogarithm identities, and cluster algebras II: Type C_r, F_4, and G_2, Publ. Res. Inst. Math. Sci. 49 (2013), no. 1, 43--85. (arXiv, journal)
  44. R. Inoue, O. Iyama, B. Keller, A. Kuniba, T. Nakanishi, Periodicities of T and Y-systems, dilogarithm identities, and cluster algebras I: Type B_r, Publ. Res. Inst. Math. Sci. 49 (2013), no. 1, 1--42. (arXiv, journal)
  45. O. Iyama, M. Wemyss, A new triangulated category for rational surface singularities, Illinois J. Math. 55 (2011), no. 1, 325--341. (arXiv, journal)
  46. T. Aihara, O. Iyama, Silting mutation in triangulated categories, J. Lond. Math. Soc. 85 (2012), no. 3, 633--668. (arXiv, journal)
  47. C. Amiot, O. Iyama, I. Reiten, G. Todorov, Preprojective algebras and c-sortable words, Proc. Lond. Math. Soc. 104 (2012), no. 3, 513--539. (arXiv, journal)
  48. O. Iyama, K. Kato, J. Miyachi, Recollement of homotopy categories and Cohen-Macaulay modules, J. K-Theory 8 (2011), no. 3, 507--542. (arXiv, journal)
  49. M. Herschend, O. Iyama, Selfinjective quivers with potential and 2-representation-finite algebras, Compos. Math. 147 (2011), no. 6, 1885--1920. (arXiv, journal)
  50. O. Iyama, S. Oppermann, n-representation-finite algebras and n-APR tilting, Trans. Amer. Math. Soc. 363 (2011), no. 12, 6575--6614. (arXiv, journal)
  51. O. Iyama, Stable categories of preprojective algebras and cluster categories, Oberwolfach Report (2011), 600--603. (pdf, journal)
  52. A. Buan, O. Iyama, I. Reiten, D. Smith, Mutation of cluster-tilting objects and potentials, Amer. J. Math. 133 (2011), no. 4, 835--887. (arXiv, journal)
  53. M. Herschend, O. Iyama, n-representation-finite algebras and twisted fractionally Calabi-Yau algebras, Bull. Lond. Math. Soc. 43 (2011), no. 3, 449--466. (arXiv, jorunal)
  54. O. Iyama, I. Reiten, 2-Auslander algebras associated with reduced words in Coxeter groups, Int. Math. Res. Not. IMRN 2011, no. 8, 1782--1803. (arXiv, journal)
  55. O. Iyama, Stable categories of Cohen-Macaulay modules and cluster categories, Oberwolfach Report (2010), 1338--1341. (pdf, journal)
  56. O. Iyama, Cluster tilting for higher Auslander algebras, Adv. Math. 226 (2011), no. 1, 1--61. (arXiv, journal)
  57. O. Iyama, M. Wemyss, The classification of special Cohen-Macaulay modules, Math. Z. 265 (2010), no. 1, 41--83. (arXiv, journal)
  58. R. Inoue, O. Iyama, A. Kuniba, T. Nakanishi, J. Suzuki, Periodicities of T-systems and Y-systems, Nagoya Math. J. 197 (2010), no. 1, 59--174. (arXiv, journal)
  59. A. Buan, O. Iyama, I. Reiten, J. Scott, Cluster structures for 2-Calabi-Yau categories and unipotent groups, Compos. Math. 145 (2009), no. 4, 1035--1079. (arXiv, journal)
  60. O. Iyama, Auslander-Reiten theory revisited, Trends in Representation Theory of Algebras and Related Topics, 349--398, European Mathematical Society, 2008. (arXiv)
  61. O. Iyama, I. Reiten, Fomin-Zelevinsky mutation and tilting modules over Calabi-Yau algebras, Amer. J. Math. 130 (2008), no. 4, 1087--1149. (arXiv, journal)
  62. O. Iyama, Cluster tilting in 2-Calabi-Yau categories II, Oberwolfach Report (2008), 410--414. (pdf, journal)
  63. I. Burban, O. Iyama, B. Keller, I. Reiten, Cluster tilting for one-dimensional hypersurface singularities, Adv. Math. 217 (2008), no. 6, 2443--2484. (arXiv, journal)
  64. O. Iyama, Y. Yoshino, Mutation in triangulated categories and rigid Cohen-Macaulay modules, Invent. Math. 172 (2008), no. 1, 117--168. (arXiv, journal)
  65. Z. Huang, O. Iyama, Auslander-type conditions and cotorsion pairs, J. Algebra 318 (2007), no. 1, 93--110. (arXiv, journal)
  66. O. Iyama, Auslander correspondence, Adv. Math. 210 (2007), no. 1, 51--82. (arXiv, journal)
  67. O. Iyama, Higher-dimensional Auslander-Reiten theory on maximal orthogonal subcategories, Adv. Math. 210 (2007), no. 1, 22--50. (arXiv, journal)
  68. O. Iyama, Tilting modules over Calabi-Yau algebras, Oberwolfach Report (2006), 492--494. (pdf, journal)
  69. O. Iyama, Maximal orthogonal subcategories of triangulated categories satisfying Serre dualities, Oberwolfach Report (2005), 355--357. (pdf, journal)
  70. O. Iyama, $\tau$-categories III: Auslander orders and Auslander-Reiten quivers, Algebr. Represent. Theory 8 (2005), no. 5, 601--619. (journal)
  71. O. Iyama, $\tau$-categories II: Nakayama pairs and Rejective subcategories, Algebr. Represent. Theory 8 (2005), no. 4, 449--477. (journal)
  72. O. Iyama, $\tau$-categories I: Ladders, Algebr. Represent. Theory 8 (2005), no. 3, 297--321. (journal)
  73. O. Iyama, Quadratic bimodules and Quadratic orders, J. Algebra 286 (2005), no. 2, 247--306. (journal)
  74. O. Iyama, The relationship between homological properties and representation theoretic realization of artin algebras, Trans. Amer. Math. Soc. 357 (2005), no. 2, 709--734. (arXiv, journal)
  75. O. Iyama, Representation dimension and Solomon zeta function, Representations of finite dimensional algebras and related topics in Lie theory and geometry, 45--64, Fields Inst. Commun., 40, Amer. Math. Soc., Providence, RI, 2004. (arXiv)
  76. O. Iyama, Radical embeddings and representation dimension (with K. Erdmann, T. Holm, J. Schroer), Adv. Math. 185 (2004), no. 1, 159--177. (arXiv, journal)
  77. O. Iyama, On Hall algebras of hereditary orders, Comm. Algebra 32 (2004), no. 4, 1571--1579. (journal)
  78. O. Iyama, Symmetry and duality on $n$-Gorenstein rings, J. Algebra 269 (2003), no. 2, 528--535. (journal)
  79. O. Iyama, Finiteness of Representation dimension, Proc. Amer. Math. Soc. 131 (2003), no. 4, 1011--1014. (journal)
  80. O. Iyama, A proof of Solomon's second conjecture on local zeta functions of orders, J. Algebra 259 (2003), no. 1, 119--126. (journal)
  81. O. Iyama, J-adic filtration of orders with application to orders of finite type, J. Math. Kyoto Univ. 42 (2002), no. 3, 429--441. (journal)
  82. O. Iyama, Representation theory of orders, Algebra---representation theory (Constanta, 2000), 63--96, NATO Sci. Ser. II Math. Phys. Chem., 28, Kluwer Acad. Publ., Dordrecht, 2001. (pdf)
  83. O. Iyama, Some categories of lattices associated to a central idempotent, J. Math. Kyoto Univ. 38 (1998), no. 3, 487--501. (journal)
  84. O. Iyama, A Generalization of Rejection Lemma of Drozd-Kirichenko, J. Math. Soc. Japan 50 (1998), no. 3, 697--718. (journal)
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