Papers
Publications
K.Kikuta, On entropy for autoequivalences of the derived category of curves, Advances in Mathematics 308 (2017), 699–712, DOI: 10.1016/j.aim.2016.12.027.
K.Kikuta and A.Takahashi, On the categorical entropy and the topological entropy, International Mathematics Research Notices, (2019) no. 2, 457–469, DOI: 10.1093/imrn/rnx131.
K.Kikuta, Y.Shiraishi and A.Takahashi, A note on entropy of auto-equivalences: lower bound and the case of orbifold projective lines, Nagoya Mathematical Journal, 238 (2020), 86–103, DOI: 10.1017/nmj.2018.21.
K.Kikuta, G.Ouchi and A.Takahashi, Serre dimension and stability conditions, Mathematische Zeitschrift, 299 (2021), 997–1013, DOI: 10.1007/s00209-021-02718-6.
K.Kikuta, Curvature of the space of stability conditions, Manuscripta Mathematica, 171 (2023), 437–456, DOI: 10.1007/s00229-022-01389-9.
K.Kikuta and G.Ouchi, Hochschild entropy and Categorical entropy, Arnold Mathematical Journal, 9 (2023), 223–244, DOI: 10.1007/s40598-022-00210-5.
K.Kikuta, N.Koseki and G.Ouchi, Thurston compactifications of spaces of stability conditions on curves,
Transactions of the American Mathematical Society, 377 (2024), 2897–2923, DOI: 10.1090/tran/9104.
Preprints
F.Barbacovi and K.Kikuta, Spherical twists, relations and the center of autoequivalence groups of K3 surfaces, arXiv:2210.00228.
Proceedings
Autoequivalence groups and Mapping class groups: isometric actions on metric spaces (Japanese), The 69th Geometry Symposium, Tokyo University of Science, August 2022.
Autoequivalence groups of derived categories of K3 surfaces (Japanese), The 67th Algebra Symposium, Research Institute for Mathematical Sciences Kyoto University, September 2022.