Research interests:
I am interested in surface groups representations into various Lie groups. More precisely, I study
character varieties associated to various Lie groups, as well as higher Teichmüller spaces
I am also interested in notions of positivity in flags varieties.
I also study spectral networks and their interactions with the notions mentioned above.
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Publications:
- Kineider C. and Rogozinnikov E., On partial abelianization of framed local systems. To appear in Mathematische Annalen.
Link.
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Prepublications:
- Kineider C., Kydonakis G., Rogozinnikov E., Tatitscheff V. and Thomas A., Spectral Networks: Bridging higher-rank Teichmüller theory and BPS states.
Link.
- Kineider C. and Troubat R., Connected components of the space of triples of transverse partial flags in SO(p,q) and Anosov representations.
Link.
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PhD thesis:
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Talks:
- February 12, 2025: Topological obstructions for Anosov representations in SO(p,q), Korea Institute for Advanced Study (Seoul), Geometry seminar
- May 16, 2024: A-coordinates on the space of configurations of partial flags, Institut Camille Jordan (Lyon), Algebra seminar
- November 11, 2023: Spectral networks and maximal representations, Grenoble, Conference Parole aux jeunes chercheuses et chercheurs du réseau Platon
- November 20, 2022: Partial abelianization of local systems using spectral networks, University of Heidelberg, Differential geometry seminar
- September 22, 2022: Monstrous moonshine, IRMA (Strasbourg), Ph.D. Students' Seminar
- June 3, 2022: Réseaux spectraux et coordonnées sur des espaces de modules, IRMAR (Rennes), Ph.D. Students' Seminar (Pampers)
- January 14, 2022: Introduction to Theta-positivity, IWH (Heidelberg), Young Researcher's Workshop on Positivity in Lie Groups
- December 2, 2021: Positivity and cluster algebras, IRMA (Strasbourg), Ph.D. Students' Seminar
- October 15, 2020: Introduction to holomorphic dynamical systems, and a magic trick, IRMA (Strasbourg), Ph.D. Students' Seminar
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Mini-course:
I gave a mini-course at Seoul National University, titled Fock-Goncharov coordinates and spectral networks, you can find handwritten notes here.
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Organizing:
- I am co-organizer of the Geometry seminar
at the MPI.
- I was the organizer of the PhD seminar in Strasbourg in 2021-2022
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