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Markus Röser

Fachbereich Mathematik Bereich AD Bundesstraße 55 (Geomatikum) 20146 Hamburg Raum 216 Tel.: +49 40 42838-5163 E-Mail: markus.roeser (at) uni-hamburg.de Matrix: @markus.roeser:matrix.math.uni-hamburg.de Sprechstunde: Via zoom oder BigBlueButton nach Vereinbarung per E-Mail

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Research Interests

Hyperkähler, hypersymplectic and quaternionic Kähler geometry and their relation to Lie theory, gauge theory and integrable systems

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Publications

• Cortés, V., Röser, M., Thung, D. "Complete quaternionic Kähler manifolds with finite volume ends"
  accepted for publication in Annales de l'Insitut Fourier arXiv
• Crooks, P., Röser, M. "Hessenberg varieties and Poisson slices"
  accepted for publication in Contemporary Mathematics 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

• Crooks, P., Rosemann, S., Röser, M. "Slodowy slices and the complete integrability of Mishchenko-Fomenko subalgebras on regular adjoint orbits"
  arXiv
• Beck, F., Biswas, I., Heller, S., Röser, M. "Geometry of the space of sections of twistor spaces with circle action"
  arXiv
• Cortès, V. , Gil Garcia, A., Röser, M. "Quaternionic K\"ahler manifolds fibered by solvsolitons"
  arXiv

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Curriculum Vitae

CV