[日本語]

Ryo Fujita / 藤田 遼

Research Institute for Mathematical Sciences (RIMS), Kyoto University, Assistant Professor

Email: rfujita (at) kurims.kyoto-u.ac.jp

Research Interests: Representation Theory, Quantum Algebra

I am working on representation theory of algebras related to complex semisimple Lie algebras or their root systems, with a particular focus on affine quantum groups.

CV | RIMS Profile | arXiv | Google Scholar | Researchmap | KAKEN

Representation Theory Seminar @RIMS

Papers (peer-reviewed)

  1. Tilting modules of affine quasi-hereditary algebras, Adv. Math., 324, 241-266 (2018). [arXiv:1610.02621]
  2. Affine highest weight categories and quantum affine Schur-Weyl duality of Dynkin quiver types, Represent. Theory, 26, 211-263 (2022). [arXiv:1710.11288]
  3. Geometric realization of Dynkin quiver type quantum affine Schur-Weyl duality, Int. Math. Res. Not., 22, 8353-8386 (2020). [arXiv:1803.01538]
  4. (w/ Michael Finkelberg) Coherent IC-sheaves on type \(A_n\) affine Grassmannians and dual canonical basis of affine type \(A_1\), Represent. Theory, 25, 67-89 (2021). [arXiv:1901.05994 containing erratum]
  5. Graded quiver varieties and singularities of normalized R-matrices for fundamental modules, Selecta Math. (N.S.), 28, article no. 2 (2022). [arXiv:1911.12693]
  6. (w/ Se-jin Oh) Q-data and representation theory of untwisted quantum affine algebras, Comm. Math. Phys., 384(2), 1351-1407 (2021). [arXiv:2007.03159]
  7. (w/ David Hernandez, Se-jin Oh, & Hironori Oya) Isomorphisms among quantum Grothendieck rings and propagation of positivity, J. Reine Angew. Math., 785, 117-185 (2022). [arXiv:2101.07489]
  8. (w/ Kota Murakami) Deformed Cartan matrices and generalized preprojective algebras I: Finite type, Int. Math. Res. Not., 8, 6924-6975 (2023). [arXiv:2109.07985]
  9. (w/ Kota Murakami) Deformed Cartan matrices and generalized preprojective algebras II: General type, Math. Z., 305, article no. 63 (2023). [arXiv:2302.14315]
  10. (w/ David Hernandez) Monoidal Jantzen filtrations, Adv. Math., 495, 110963 (2026). [arXiv:2402.13544]
  11. Singularities of normalized R-matrices and E-invariants for Dynkin quivers, to appear in Ann. Represent. Theory. [arXiv:2410.10070]
  12. Inflations among quantum Grothendieck rings of type A, J. Algebraic Combin., 62, article no. 49 (2025) (in special issue in honor of Vyjayanthi Chari). [arXiv:2412.11881]

Preprints

Proceedings etc.

Lecture notes

Last update: June 7, 2026