Papers and Preprints

Conley index theory without index pairs. I: The pointset level theory.
J. Fixed Point Theory Appl. 25 (2023), Paper No. 15. [ DOI:10.1007/s11784022010375 ] [ arXiv:2109.10588 ]

Cartan projections of some nonreductive subgroups and proper actions on homogeneous spaces.
To appear in Transform. Groups. [ DOI:10.1007/s00031022097366 ] [ arXiv:2106.07848 ]

Semisimple symmetric spaces that do not model any compact manifold.
J. Lie Theory 29 (2019), 493–510. [ JLT 29023 ] [ arXiv:1811.01495 ]

Proof of Kobayashi's rank conjecture on Clifford–Klein forms.
J. Math. Soc. Japan 71 (2019), 1153–1171. [ DOI:10.2969/jmsj/78007800 ] [ arXiv:1705.06544 ]

A cohomological obstruction to the existence of compact Clifford–Klein forms.
Selecta Math. (N.S.) 23 (2017), 1931–1953. [ DOI:10.1007/s0002901602951 ] [ arXiv:1601.07359 ]

Homogeneous spaces of nonreductive type that do not model any compact manifold.
Publ. Res. Inst. Math. Sci. 53 (2017), 287–298. [ DOI:10.4171/PRIMS/5323 ] [ arXiv:1508.04862 ]

Semisimple symmetric spaces without compact manifolds locally modelled thereon.
Proc. Japan Acad. Ser. A Math. Sci. 91 (2015), 29–33 (announcement). [ DOI:10.3792/pjaa.91.29 ]

A topological necessary condition for the existence of compact Clifford–Klein forms.
J. Differential Geom. 100 (2015), 533–545. [ DOI:10.4310/jdg/1432842364 ] [ arXiv:1310.7096 ]