I plan to stay in Paris from 22 February 2025 to around 26 September 2025.
Papers and Preprints
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(with M. Bocheński)
Exotic proper actions on homogeneous spaces via convex cocompact representations.
Preprint. [ arXiv:2501.14274 ]
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Conley index theory without index pairs. I: The point-set level theory.
J. Fixed Point Theory Appl. 25 (2023), Paper No. 15. [ DOI:10.1007/s11784-022-01037-5 ] [ arXiv:2109.10588 ]
Correction: J. Fixed Point Theory Appl. 26 (2024), Paper No. 2. [ DOI:10.1007/s11784-023-01094-4 ]
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Cartan projections of some non-reductive subgroups and proper actions on homogeneous spaces.
Transform. Groups 29 (2024), 823—845. [ DOI:10.1007/s00031-022-09736-6 ] [ arXiv:2106.07848 ]
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Semisimple symmetric spaces that do not model any compact manifold.
J. Lie Theory 29 (2019), 493—510. [ JLT 29023 ] [ arXiv:1811.01495 ]
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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 ]
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A cohomological obstruction to the existence of compact Clifford—Klein forms.
Selecta Math. (N.S.) 23 (2017), 1931—1953. [ DOI:10.1007/s00029-016-0295-1 ] [ arXiv:1601.07359 ]
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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/53-2-3 ] [ arXiv:1508.04862 ]
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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 ]
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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 ]
