Curriculum Vitae Saskia Roos E-mail: saroos@mpim-bonn.de Webpage: http://guests.mpim-bonn.mpg.de/saroos/ Area: Differential Geometry and Global Analysis Education: 2015-2018 (expected): PhD in Mathematics, Max-Planck Institut für Mathematik, Bonn, working title: Dirac eigenvalues under collapse with bounded curvature under the direction of the Professors Werner Ballmann and Bernd Ammann. 2013-2015 : Master of Science in Mathematics, Rheinische Friedrich-Wilhelms- Universität Bonn, thesis title: Eigenvalue Pinching with Killing Spinors on Spin and Spin c Manifolds, under the direction of Professor Werner Ballmann. 2010-2013: Bachelor of Science in Mathematics, Eberhard-Karls-Universität Tübingen, thesis title: Der geodätische Fluss als Hamiltonsches System, under the direction of Professor Christoph Bohle. Fellowships: October 2015 - September 2018: Hausdorff Scholarship financed by the Bonn International Graduate School, Hausdorff Center for Mathematics. Publications: Articles: 1. Scalar curvature and the multiconformal class of a direct product Riemannian manifold, with N. Otoba, available at arxiv: 1808.06340, (2018). 2. The Dirac operator under collapse to a smooth limit space, available at arxiv: 1802.00630, (2018). 3. Dirac operators with W 1, -potential on collapsing sequences losing one dimension in the limit, Manuscripta Mathematica, Online first (2018). 1
4. A characterization of codimension one collapse under bounded curvature and diameter, Journal of Geometric Analysis 28 (2018), 2707-2724. 5. Eigenvalue pinching on spin c -manifolds, Journal of Geometry and Physics 112 (2017), 59-73. 6. Estimates for eigensections of Riemannian vector bundles, available at arxiv:1511.08006v2, (2015). Articles in Preparation: 1. Bordism and quantum field theory, with M. Ludewig. Invited Talks Conferences 1. March 1, 2018, The Dirac operator under collapse to a smooth limit space, Global Differential Geometry Workshop, Tsinghua Sanya Internation Mathematical Forum, Sanya, China. 2. January 13, 2018, Dirac eigenvalues under codimension one collapse, Joint Mathematics Meetings 2018, San Diego, California, United States of America. 3. August 17, 2017, Dirac eigenvalues under codimension one collapse, Harmonic Maps, Higgs Bundles and Integrable Systems in honor of Franz Pedit s 60th Birthday, Hannover, Germany. 4. April 5, 2017, A characterization of codimension one collapse under bounded curvature and diameter, Young Women in Geometry, Max- Planck Institut für Mathematik, Bonn, Germany. Seminars 1. June 11, 2018, Characterization of codimension one collapse, Graduate Seminar for Geometry, Augsburg, Geometry, 2. February 6, 2018, Dirac eigenvalues under codimension one collapse, Graduate Seminar for Geometry, Stuttgart, Germany. 3. January 22, 2018, Dirac eigenvalues under codimension one collapse, Research Seminar for Geometry, Münster, Germany. 2
4. December 13, 2017, Dirac eigenvalues under codimension one collapse, Differential Geometry Seminar, KIT, Karlsruhe, Germany. 5. October 26, 2017, Characterization of codimension one collapse, Graduate School Colloquium, Regensburg, Germany. 6. October 19, 2017, Dirac eigenvalues under codimension one collapse, Research Seminar for Geometry, Potsdam, Germany. 7. May 9, 2017, Collapse under bounded curvature, Geometry Seminar, Cologne, Germany. 8. April 25, 2017, Collapse under bounded curvature, Graduate Seminar for Analysis and Number Theory, Tübingen, Germany. Organization of Seminars: 1. Co-organizer with Christian Blohmann of a graduate student seminar on Geometric Quantization held at the Rheinische Friedrich-Wilhelms- Universität Bonn, 2015-2016. Awards and Grants: 1. Oberwolfach Leibniz Graduate Student at the Workshop Geometry, 2018. 2. Oberwolfach Leibniz Graduate Student at the Workshop Analysis, Geometry and Topology of Positive Scalar Curvature Metrics, 2017. 3. Oberwolfach Leibniz Graduate Student at the Workshop Geometry, 2016. 4. First Prize, one week visit at the Mathematisches Forschungsinstitut Oberwolfach, for the talk Eigenvalue pinching with Killing spinors on spin and spin c manifolds at the Studierendenkonferenz der Deutschen Mathematiker Vereinigung, 2015, Hamburg, Germany. Participation in Conferences and Workshops: 1. June 11 - June 15, 2018, Geometry, Mathematisches Forschungsinstitut Oberwolfach, Oberwolfach, Germany 2. February 26 - March 2, 2018, Global Differential Geometry Workshop, Tsinghua Sanya International Mathematics Forum, Sanya, China. 3
3. January 10-13, 2018, Joint Mathematics Meetings 2018, San Diego, California, United States of America. 4. September 3-30, 2017, Metric Measure Spaces and Ricci curvature, Max-Planck Institut für Mathematik and Hausdorff Center for Mathematics, Bonn, Germany. 5. August 14-18, 2017, Harmonic Maps, Higgs Bundles and Integrable Systems in honor of Franz Pedit s 60th Birthday, Hannover, Germany. 6. August 6-12, 2017, Analysis, Geometry and Topology of Positive Scalar Curvature Metrics, Mathematisches Forschungsinstitut Oberwolfach, Oberwolfach, Germany. 7. July 23-29, 2017, Workshop on Curvature and Global Shape, Münster, Germany. 8. June 23-30, 2017 Dynamical Geometric Analysis in Orsay, Orsay, France 9. April 3-5, 2017, Young Women in Geometry, Max-Planck Institut für Mathematik, Bonn, Germany. 10. August 1-5, 2016, Geometric Cauchy problems on Lorentzian manifolds", Regensburg, Germany. 11. July 11-15, 2016, Differential Geometry in the large, in honor of Wolfgang Meyer s 80th Birthday, Florence, Italy. 12. June 5-11, 2016, Geometry, Mathematisches Forschungsinstitut Oberwolfach, Oberwolfach, Germany. 13. October 21-23, 2015, Panorama of Mathematics, a conference of the Hausdorff Center, Bonn, Germany. 14. September 21-25, 2015, Jahrestagung der Deutschen Mathematiker Vereinigung 2015, Hamburg, Germany. 15. July 26 - August 1, 2015 Workshop on Curvature and Global Shape, Münster, Germany. 16. June 15-26, 2015, Geometric and Computational Spectral Theory, Séminaire de Mathématiques superieur, Montreal, Canada. 17. March 2-5, 2015, Flowers and Friends - a workshop in Geometric Analysis, Frankfurt, Germany. 4
18. September 9 - September 12, 2014, Summer School on Spectral Geometry, Göttingen, Germany. 19. February 10-14, 2014, BCS Theory and NLS Equations, Heinrich Fabi Institut Blaubeuren, Blaubeuren, Germany. 20. September 2-7, 2013, Current Topics in Mathematical Physics, Centre International de Rencontres Mathématiques, Marseille, France. Professional Societies: Deutsche Mathematiker Vereinigung Languages: German, English and French 5