Department of Mathematics
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Markus Röser
Sprechstunde: |
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Research Interests
Hyperkähler, hypersymplectic and quaternionic Kähler geometry and their relation to Lie theory, gauge theory and integrable systems
Publications
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Beck, F., Biswas, I., Heller, S., Röser, M. "Geometry of the space of sections of twistor spaces with circle action"
accepted for publication in Symmetry, Integrability and Geometry: Methods and Applications (SIGMA) arXiv -
Cortés, V., Röser, M., Thung, D. "Complete quaternionic Kähler manifolds with finite volume ends"
Annales de l'Insitut Fourier 75, No. 2, 475-521 (2025). arXiv -
Crooks, P., Röser, M. "Hessenberg varieties and Poisson slices"
Crooks, Peter (ed.) et al., Compactifications, configurations, and cohomology. Conference, Northeastern University, Boston, Massachusetts, USA, October 22–24, 2021. Providence, RI: American Mathematical Society (AMS). Contemporary Mathematics 790, 25-57 (2023). arXiv -
Crooks, P., Röser, M. "On the singularities of Mishchenko-Fomenko systems"
Transformation Groups (2022). Journal article -
Crooks, P., Röser, M. "The log symplectic geometry of Poisson slices"
Journal of Symplectic Geometry, Vol. 20, No. 1 (2022), pp. 135-190 Journal article -
Crooks, P., Röser, M. "On the fibres of Mishchenko-Fomenko systems"
Documenta Mathematica 25, 1195-1239 (2020) Journal article -
Beck, F., Heller, S., Röser, M. "Energy of sections of the Deligne-Hitchin twistor space"
Mathematische Annalen 380, no. 3-4, 1169–1214, (2021) Journal article -
Biswas, I., Heller S., Röser, M. "Real holomorphic sections of the Deligne-Hitchin Twistor space"
Communications in Mathematical Physics, 366(3), 1099-1133, (2019) Journal article -
Petrecca, D., Röser, M. "Irreducibility of the Laplacian eigenspaces of some homogeneous spaces"
Mathematische Zeitschrift 291, 395–419, (2019) Journal article -
Bielawski, R., Romao, N., Röser, M. "The Nahm-Schmid Equations and Hypersymplectic Geometry"
The Quarterly Journal of Mathematics, Volume 69, Issue 4, 1253-1286, (2018), arXiv -
Dancer, A., Kirwan, F., Röser, M. "Hyperkähler Implosion and Nahm's Equations"
Communications in Mathematical Physics, 342(1), 251-301, (2016). Journal article -
Röser, M. "Harmonic Maps and Hypersymplectic Geometry",
Journal of Geometry and Physics, 78, 111-126, (2014). Journal article
Preprints