1.
 (with C. P. Jiang) LevelRank Duality for Vertex Operator Algebras of types B and D,
Bull. Inst. Math. Acad. Sin. (N.S.)
(2018)

2.
 (with T. Arakawa, H. Yamada) Parafermion vertex operator algebras and Walgebras,
Trans. Amer. Math. Soc.
(2018)

3.
 (with H. Shimakura) On orbifold constructions associated with the Leech lattice vertex operator algebra,
preprint
(2018)

4.
 (with T. Abe, H. Yamada) On orbifold constructions of the Moonshine vertex operator algebra,
Mathematische Zeitschrift
(2018)

5.
 (with T. Abe, H. Yamada) Extensions of tensor products of orbifold models of the lattice vertex operator algebra ,
preprint
(2018)

6.
 (with Chongying Dong, Li Ren) Modular framed vertex operator algebras,
European Journal of mathematics
(2018)

7.
 (with Xingjun Lin) A Holomorphic vertex operator algebra of central charge 24 with weight one Lie algebra ,
preprint
(2017)

8.
 (with HsianYang Chen, Hiroki Shimakura) orbifold construction of the Moonshine vertex operator algebra and some maximal 3local subgroups of the Monster,
Mathematische Zeitschrift
(2017)

9.
 (with Hiroki Shimakura) Reverse orbifold construction and uniqueness of holomorphic vertex operator algebras,
Preprint
(2017)

10.
 (with Kazuya Kawasetsu, Xingjun Lin) orbifold construction associated with isometry and uniqueness of holomorphic vertex operator algebras of central charge 24,
Proceedings of Amer. Math. Soc.
(2017)

11.
 (with H. Shimakura) A holomorphic vertex operator algebras of central charge 24 whose weight one Lie algebra has type ,
Letters in Mathematical Physics
, 106(2016), 15751585

12.
 (with Hiroshi Yamauchi) The ConwayMiyamoto correspondences for the Fischer 3transposition groups,
preprint
(2017)

13.
 (with Hiroshi Yamauchi) 3dimensional Griess algebras and Miyamoto involutions,
Bull. Inst. Math. Acad. Sin. (N.S.)
(2017)

14.
 (with H.Y. Chen) Quantum dimensions and fusion rules of the VOA ,
Journal of Algebra
, 459(201608), 309349

15.
 (with H. Shimakura) Orbifold construction of holomorphic vertex operator algebras associated to inner automorphisms,
Communications in Mathematical Physics
, 342(201603), no. 3, 803841

16.
 (with K. Harada) 'Inverses' of Virasoro operators,
Communications in Algebra
, 23(1995), no. 12, 44054413

17.
 Construction of vertex operator algebras form commutative associative algebras,
Communications in Algebra
, 24(1996), no. 14, 44394460

18.
 On VOA associated with special Jordan algebras,
Communications in Algebra
, 27(1999), no. 4, 16651681

19.
 Twisted repesentations of code vertex operator algebras,
Journal of Algebra
, 217(1999), no. 7, 275299

20.
 Code vertex operator algebras under coordinates change,
Communications in Algebra
, 27(1999), no. 9, 45874605

21.
 (with C. Dong,and H. Yamada) Decomposition of the vertex operator algebra ,
Journal of Algebra
, 222(1999), 500510

22.
 (with H. Yamada) codes and vertex operator algebras,
Journal of Algebra
, 224(2000), 268291

23.
 (with K.Kitazume, and H. Yamada) Decomposition of the Moonshine vertex operator algebra as Virasoro modules,
Journal of Algebra
, 226(2000), 893919

24.
 Some twisted modules for framed vertex operator algebras,
Journal of Algebra
, 231(2000), 331341

25.
 Representations of ternary code vertex operator algebras,
Communications in Algebra
, 29(2001), no. 3, 951971

26.
 Fusion rules for Hamming code vertex operator algebra,
Communications in Algebra
, 29(2001), no. 5, 21252145

27.
 (with C. Dong,and H. Yamada) Decomposition of the vertex operator algebra ,
Communications in Contemporary Mathematics
, 3(2001), no. 1, 137151

28.
 Induced modules for orbifold vertex operator algebras,
Journal of Mathematical Society of Japan
, 53(2001), no. 3, 541557

29.
 (with M. Kitazume, and H. Yamada) A class of vertex operator algebras constructed from codes,
Journal of Algebra
(2001), 338359

30.
 (with M. Kitazume, and H. Yamada) Moonshine vertex operator algebra as L(1/2,0) × L(7/10,0) × L(4/5,0) × L(1,0) modules,
Journal of Pure and Applied Algebra
, 173(2002), no. 1, 1548

31.
 (with M. Kitazume, and H. Yamada) 3state Potts model, Moonshine vertex operator algebra and 3Aelements of the Monster group,
International Mathematics Research Notices
, 23(2003), 12691303

32.
 (with N. Lam, and H. Yamauchi) Extension of unitary Virasoro vertex operator algebra by a simple module,
International Mathematics Research Notices
, 11(2003), 577611

33.
 (with H. Yamada) twisted representations of lattice vertex operator algebras,
Communications in Algebra
, 31(2003), no. 6, 30013020

34.
 (with Yamada H) Tricritical 3state Potts model and vertex operator algebras constructed from ternary codes,
Communications in Algebra
, 32(2004), no. 11, 41974219

35.
 (with H. Yamada) Decomposition of the lattice vertex operator algebra ,
Journal of Algebra
, 272(2004), no. 2, 614624

36.
 (with C. Dong, K. Tanabe, H. Yamada, and K. Yokoyama) symmetry and algebra in lattice vertex operator algebras,
Pacific Journal of Mathematics
, 215(2004), no. 5, 245296

37.
 (with H. Yamada, and H. Yamauchi) McKay's observation and vertex operator algebras generated by two conformal vectors of central charge 1/2,
Intern. Math. Res. Paper
(2005), no. 3, 117181

38.
 (with T. S. Chen) Extension of the tensor product of unitary Virasoro vertex operator algebras,
Communications in Algebras
, 35(2007), no. 8, 24872505

39.
 (with M. Miyamoto) Niemeier Lattices, Coxeter elements and McKay's E8 observation on the Monster simple group,
Intern. Math. Res. Notices
(2006), 00

40.
 (with H. Yamauchi) A characterization of the moonshine vertex operator algebra by means of Virasoro frames,
Intern. Math. Res. Notices
, 2007(2007), 00

41.
 (with C. Dong, R. L. Griess) Uniqueness results of Frenkel–Lepowsky Meurman's moonshine vertex operator algebra,
American Journal of Mathematics
, 129(2007), no. 2, 583609

42.
 (with H. Yamada and H. Yamauchi) Vertex operator algebra, extended E8 diagram and McKay’s observation on the Monster simple group,
Transactions of American Mathematical Society
, 359(2007), no. 9, 41074123

43.
 (with S. Sakuma and H. Yamauchi) Ising vectors and automorphism groups of commutant subalgebras related to root systems,
Mathematische Zeitschrift
, 255(2007), no. 3, 597626

44.
 (with H. Shimakura) Ising vectors in the vertex operator algebra associated with the Leech lattice Λ,
Intern. Math. Res.
, 2007(2007), 00

45.
 (with H. Yamauchi) On the structure of framed vertex operator algebras and their pointwise frame stabilizers,
Commun. Math. Phys.
, 277(2008), no. 1, 237285

46.
 (with R.L. Griess Jr.) Rootless pairs of EE8lattices,
Electronic Research Announcements in Mathematical Sciences
, 15(2008), 5261

47.
 (with C. Dong,and H. Yamada) Walgebras in lattice vertex operator algebras, in Lie Theory and Its Applications in Physics VII, ed. by H.D. Doebner and V. K. Dobrev, Proc. of the VII International Workshop,
Varna, Bulgaria
, 2007(2008), no. 35, 2535

48.
 (with S. Sakuma) On a class of vertex operator algebras having a faithful action,
Taiwanese J. Math
, 12(2008), no. 9, 24652488

49.
 (with H. Shimakura) Frame Stabilizers for Framed Vertex Operator Algebras Associated to Lattices Having 4Frames,
Int. Math. Res. Notices
, 2009(2009), 45474577

50.
 (with C. Dong,and H. Yamada) Walgebras related to parafermion algebras,
J. Algebra
, 332(2009), 22362043

51.
 (with C. Dong, Q. Wang and H. Yamada) The structure of parafermion vertex operator algebras,
J. Algebra
, 323(2010), no. 2, 371381

52.
 (with R.L. Griess Jr.) Dihedral groups and Sums of lattices,
Pure and applied mathematics quarterly
, 7(2011), no. 3, 621743

53.
 On the constructions of holomorphic vertex operator algebras of central charge 24,
Comm. Math. Phys.
, 305(2011), no. 1, 153198

54.
 (with R. L. Griess) A moonshine path from to the Monster,
J. Pure and Applied Algebra
, 215(2011), 927948

55.
 (with Robert L. Griess Jr.) A moonshine path for and associated lattices of ranks 8 and 16,
J. Algebra
, 331(2011), 338361

56.
 (with Gerald Hoehn; Hiroshi Yamauchi) McKay's observations on the Baby Monster,
Inter. Math. Res. Not.
, 2012(2012), 166212

57.
 (with R.L. Griess, Jr.) Diagonal lattices and rootless pairs,
J. Pure and Applied Algebra
, 216(2012), no. 1, 154169

58.
 (with G. Hoehn, H. Yamauchi) McKay's observation on the largest Fischer group,
Comm. Math. Phys.
, 310(2012), 329365

59.
 (with Masaaki Harada; Akihiro Munemasa) Residue codes of extremal Type II codes and the moonshine vertex operator algebra,
Math. Z.
, 274(2013), no. 1, 685700

60.
 (with H. Shimakura) Quadratic spaces and holomorphic framed vertex operator algebras of central charge 24,
Proceedings of the London Mathematical Society
, 104(2012), no. 3, 540576(doi: 10.1112/plms/pdr041)

61.
 (with Robert L.~Griess Jr.) A new existence proof of the Monster by VOA theory,
Michigan Mathematical Journal
, 61(2012), 555573

62.
 (with C.S. Su) Griess algebras generated by 3 Ising vectors of central 2Atype,
J. algebra
, 374(2013), 141166

63.
 (with R.L. Griess) Moonshine paths for and nodes of the extended diagram,
J. Algebra
, 379(2013), 85112

64.
 (with H.Y. Chen) Coset Construction of orbifold vertex operator algebra ,
J. Pure and Applied Algebra
, 218(2014), no. 1, 148173

65.
 (with T. Arakawa, H. Yamada) Zhu's algebras, algebras and cofiniteness of parafermion vertex operator algebras,
Adv. Math.
, 264(2014), 261295

66.
 (with H. Shimakura) Classification of holomorphic framed vertex operator algebras of central charge 24,
Amer. J. Math
, 137(2015), no. 1, 111137

67.
 A levelrank duality for parafermion vertex operator algebras of type A,
Proc. Amer. Math. Soc.
, 142(2014), no. 12, 41334142

68.
 (with C.S. Su) Griess algebras generated by the Griess algebras of two 3Aalgebras with a common axis,
J. Math Soc. Japan
, 67(201504), no. 2, 453476

69.
 (with H.Y. Chen) An explicit Majorana representation of the group of pure type,
Pacific Journal of Mathematics
, 271(2014), no. 1, 2551

70.
 (with Hsian Yang Chen) Weyl groups and vertex operator algebras generated by Ising vectors satisfying condition,
Rev. Math. Phys.
, 26(2014), no. 6, 1450011(24 pages)

71.
 (with H. Yamauchi) On 3transposition groups generated by involutions associated to Virasoro vectors,
J. Algebra
, 416(2014), 84121

72.
 (with R.L. Griess Jr.) Groups of Lie Type, Vertex Algebras, and Modular Moonshine,
International Mathematics Research Notices
(2015), 00
