研究業績：
【数学】
(1) 学術論文
Kazunori Nakamoto and Takeshi Torii, “Applications of Hochschild cohomology to the moduli of subalgebras of the full matrix ring”, J. Pure Appl. Algebra 227(2023), no.11, Paper No. 107426.
Kazunori Nakamoto and Yasuhiro Omoda, “The classification of thick representations of simple Lie groups”, Kodai Mathematical Journal 45 (2022), no. 2, 259–269.
Kazunori Nakamoto and Yasuhiro Omoda, “Thick representations and dense representations I”, Kodai Mathematical Journal 42 (2019), no.2, 274-307.
K. Nakamoto, A. Sharland and M. Tosun, “Triple Root Systems, Rational Quivers and Examples of Linear Free Divisors”, International Journal of Mathematics, 29 (2018), no.3, 1850017, (29 pages).
Kazunori Nakamoto, “The moduli of representations of degree 2”, Kyoto J. Math. 57, no.4 (2017), 829-902.
Kazunori Nakamoto and Takeshi Torii, “Virtual Hodge polynomials of the moduli spaces of representations of degree 2 for free monoids”, Kodai Mathematical Journal 39 (2016), no.1, 80–109.
Kazunori Nakamoto, “The moduli of representations with Borel mold”, International Journal of Mathematics 25 (2014) no.7, 1450067 (31 pages).
Kazunori Nakamoto and Meral Tosun, “A new construction of \tilde{D}_5-singularities and generalization of Slodowy slices”, Journal of Algebra 376 (2013), 139-151.
Kazunori Nakamoto and Takeshi Torii, “Rational homotopy type of the moduli of representations with Borel mold”, Forum Mathematicum 24 (2012) no.3, 507-538.
Kazunori Nakamoto and Takeshi Torii, “Topology of the representation varieties with Borel mold for unstable cases”, Journal of the Australian Mathematical Society 91 (2011) no.1, 55-87.
Atsuko Katanaga and Kazunori Nakamoto, “The links of 3-dimensional singularities defined by Brieskorn polynomials”, Mathematische Nachrichten 281 (2008) no.12, 1777-1790.
Kazunori Nakamoto and Meral Tosun, “Semi-universal deformation spaces of some simple elliptic singularities”, C. R. Math. Acad. Sci. Paris 345 (2007), 31-34.
Kazunori Nakamoto and Takeshi Torii, “Algebraic vector bundles on SL(3, C)”, Rocky Mountain Journal of Mathematics 37 (2007) no.2, 587-596.
Kazunori Nakamoto and Takeshi Torii, “Topology of the moduli of representations with Borel mold”, Pacific Journal of Mathematics 213 no.2 (2004) 365-387.
Kazunori Nakamoto, “The structure of the invariant ring of two matrices of degree 3”, Journal of Pure and Applied Algebra 166 (2002) no.2 125-148.
Kazunori Nakamoto, “Representation varieties and character Varieties”, Journal of Res. Inst. Math. Sci. 36 (2000) no.2 159-189.
(2) Preprint
Tomohiro Itagaki, Kazunori Nakamoto, and Takeshi Torii, “Hochschild cohomology of the quadratic monomial algebra ${\rm N}_m$”, arXiv:2403.20074(PDF/542KB/new window).
Kazunori Nakamoto and Yasuhiro Omoda, “The classification of thick representations of simple Lie groups”, arXiv:2008.12437(PDF/159KB/new window), arXiv:2008.12437v2(PDF/168KB/new window).
Kazunori Nakamoto and Takeshi Torii, “Applications of Hochschild cohomology to the moduli of subalgebras of the full matrix ring”, arXiv:2006.07870(PDF/573KB/new window).
Kazunori Nakamoto and Yasuhiro Omoda, “Special classes of irreducible representations I”, arXiv:1510.02585v1(PDF/324KB/new window), arXiv:1510.02585v2(PDF/349KB/new window).
Kazunori Nakamoto and Takeshi Torii, “Virtual Hodge polynomials of the moduli spaces of representations of degree 2 for free monoids”, arXiv:1501.02933v1(PDF/289KB/new window), arXiv:1501.02933v2(PDF/291KB/new window).
Kazunori Nakamoto, “The moduli of representations of degree 2”, arXiv:1405.2788v3(PDF/626KB/new window).
K. Nakamoto, A. Sharland and M. Tosun, “Triple Root Systems, Rational Quivers and Examples of Linear Free Divisors”, arXiv:1412.0122v2(PDF/332KB/new window).
【統計】
(1) 学術論文
Atsushi Komaba, Hisashi Johno and Kazunori Nakamoto, “A novel statistical approach for two-sample testing based on the overlap coefficient”, Journal of Mathematical Sciences, the University of Tokyo, 30 (2023), no.2, 205–240.
Hisashi Johno and Kazunori Nakamoto, “Decision tree-based estimation of the overlap of two probability distributions”, Journal of Mathematical Sciences, the University of Tokyo, 30 (2023), no.1, 21–54.
Hisashi Johno, Kazunori Nakamoto, and Tatsuhiko Saigo “Remarks on kernel Bayes' rule”, Cogent Mathematics & Statistics, 5 (2018), no. 1, Art. ID 1447220, (19 pages).
(2) ポスター発表
川口 章夫，中本 和典，“日本人集団においてアレル頻度の経験分布は染色体ごとに異なる”日本人類遺伝学会第62回大会 ポスター発表(2017年11月17日)，日本人類遺伝学会ポスター20171117(PDF/253KB/new window)
(3) Preprint
Atsushi Komaba, Hisashi Johno, and Kazunori Nakamoto, “A novel statistical approach for two-sample testing based on the overlap coefficient”, arXiv:2206.03166(PDF/361KB/new window), arXiv:2206.03166v2(PDF/615KB/new window)
Hisashi Johno and Kazunori Nakamoto, "Decision tree-based estimation of the overlap of two probability distributions", arXiv:2103.02922(PDF/1291KB/new window), arXiv:2103.02922v2(PDF/2202KB/new window).
Hisashi Johno, Kazunori Nakamoto, and Tatsuhiko Saigo “Remarks on kernel Bayes' rule”, arXiv1507.01059 version2(PDF/423KB/new window).
