Papers and preprints

  1. Elliptic Hall algebra on F1, arXiv:1708.08881.
  2. Factorization spaces and moduli spaces over curves, Josai Mathematical Monographs vol. 10, 97-128.
  3. Boson-fermion correspondence from factorization spaces, Journal of Geometry and Physics 124 (2018), 55-63; arXiv:1611.06100.
  4. Jacobi complexes on the Ran space, arXiv:1608.07472.
  5. Deformation quantization of vertex Poisson algebras, arXiv:1607.02068.
  6. Singular vectors of N=1 super Virasoro algebra via Uglov symmetric functions, arXiv:1508.06036.
  7. Quantum toroidal algebras and motivic Hall algebras I. Hall algebras for singular elliptic curves, arXiv:1504.06254.
  8. Integrality of the simple Hurwitz numbers, arXiv:1412.5242.
  9. Norm of the Whittaker vector of the deformed Virasoro algebra, arXiv:1411.0462.
  10. Whittaker vector of deformed Virasoro algebra and Macdonald symmetric functions, Lett. Math. Phys. 106 (2016), Issue 3, 395-431; arXiv:1402.2946.
  11. Classical and quantum vertex algebras, RIMS Kokyuroku Bessatsu B62, 163-200; arXiv:1402.2943.
  12. Bialgebra structure on Bridgeland's Hall algebra of two-periodic complexes, arXiv:1304.6970.
  13. A note on Bridgeland's Hall algebra of two-periodic complexes, Mathematische Zeitschrift, 282 (2016), Issue 3, pp 973-991; arXiv:1207.0905.
  14. Bridgeland's stabilities on abelian surfaces, (with K. Yoshioka), Mathematische Zeitschrift, 276 (2014), Issue 1-2, pp 571-610; arXiv:1203.0884.
  15. Some moduli spaces of Bridgeland's stability conditions (with H. Minamide and K. Yoshioka), Int. Math. Res. Notices (2014) 2014 (19); 5264-5327 ; arXiv:1111.6187.
  16. The wall-crossing behavior for Bridgeland's stability conditions on abelian and K3 surfaces (with H. Minamide and K. Yoshioka), to appear in Journal fur die reine und angewandte Mathematik; arXiv:1106.5217.
  17. Norm of logarithmic primary of Virasoro algebra, Lett. Math. Phys. 98 (2011), no. 2, 133-156 ; arxiv:1010.0528.
  18. Notes on Ding-Iohara algebra and AGT conjecture, (with H. Awata, B. Feigin, A. Hoshino, M. Kanai and J. Shiraishi) RIMS kokyuroku 1765 (2011), 12-32; arXiv:1106.4088.
  19. Whittaker vectors of the Virasoro algebra in terms of Jack symmetric polynomial, J. Algebra 333 (2011), 273-294; arxiv:1003.1049.
  20. Five-dimensional SU(2) AGT conjecture and recursive formula of deformed Gaiotto state, J. Math. Phys. 51 (2010), no. 12, 123506, 13 pp; arXiv:1005.0216.
  21. Kernel function and quantum algebras (with B. Feigin, A. Hoshino, J. Shibahara and J. Shiraishi), RIMS kokyuroku 1689 (2010), 133-152; arXiv:1002.2485.
  22. Semi-homogeneous sheaves, Fourier-Mukai transforms and moduli of stable sheaves on abelian surfaces (with K. Yoshioka), Journal fur die reine und angewandte Mathematik, 684 (2013), 31-86; arXiv:0906.4603
  23. A commutative algebra on degenerate CP1 and Macdonald polynomials (with B. Feigin, K. Hashizume, A. Hoshino and J. Shiraishi), J. Math. Phys. 50 (2009), no. 9, 095215, 42 pp; arXiv:0904.2291

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Last update: 2017/11/26, since 2012/11/09.