Mathematisches Institut, Fachbereich Mathematik, Universität Göttingen

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Aktuelles

Lehre WiSe 21/22

• Proseminar "Differentialgeometrie von Flächen" in stud.ip. Lehrangebot insbesondere auch für Studis im zweiten Studienjahr. Seminarbeschreibung Vorbesprechung Fr, 15.7., 14:15 neu: via meetings in stud.ip
• Vorlesung Differential- und Integralrechnung 3
• Proseminar Homotopiegruppen, organized by Engelbert Suchla Announcement (pdf).
• planned: Seminar "Geometric group theory", organized by Christopher Wulff
• Possibly: Lecture course of the RTG Fourier Analysis and Spectral Theory (Spectral theory of random walks)
• Oberseminar Topology/Geometry Tue 14:15-16:00, with presentations of the members of the group on material they are currently interested in and by guests.

Lehre SoSe 21

• Proseminar Fourierreihen in stud.ip Lehrangebot insbesondere auch für Studis im eresten Studienjahr. Bitte in stud.ip registieren
• Vorlesung Differential- und Integralrechnung 2
• Seminar L2-invariants stud.ip, organized by Engelbert Suchla Announcement (pdf). Please: register in stud.ip
• Possibly: Lecture course of the RTG Fourier Analysis and Spectral Theory (Spectral theory of random walks)
• Oberseminar Topology/Geometry Tue 14:15-16:00, with presentations of the members of the group on material they are currently interested in and by guests.

Lehre WiSe 20/21

• Possibly: Lecture course of the RTG Fourier Analysis and Spectral Theory (Spectral theory of random walks)
• Oberseminar Topology/Geometry Tue 14:15-16:00, with presentations of the members of the group on material they are currently interested in and by guests.
• Seminar Analysis: "Oberseminar on the Atiyah-Patodi-Singer index theorem" (with Thorsten Hertl). Distribution of talks (pdf). stud.ip.
• Seminar im Bereich Topologie: "K-Theory, vector bundles and characteristic classes" with following link in stud.ip
• Mathematik für Physiker III

Upcoming events and conferences

Past teaching and conferences

Bachelor- Master- und Diplomarbeiten

Research area: Topology and Geometry, Geometry and Analysis, K-Theory of C*-algebres and index theory

Research projects (partly funded by the German Science Foundation)

• Speaker of the Research Training Group 2491 Fourier Analysis and Spectral Theory
  
• Coordinator of the former Courant research centerHigher order structures in Mathematics
  
• Deputy speaker of the former Research Training Group 1493 "Mathematische Strukturen in der modernen Quantenphysik"
  

• Existence and non-existence of Riemannian metrics with positive scalar curvature
• Higher rho invariants in topology and geometry (with Paolo Piazza, Mehran Seyedhosseini, Vito Zenobi)
• Twisted generalized cohomology theories
• Exotic Baum-Douglas (M,E,f)-theory, for spaces with actions of discrete and totally disconnected groups (with Paul Baum, Nigel Higson )
• L2-cohomology, in particular the Atiyah conjecture
• K-theory for C*-algebras and the Baum-Connes conjecture

Memberships, Honors, and Service

• Ordentliches Mitglied der Akademie der Wissenschaften zu Göttingen
• Fellow of the American Mathematical Society
• Mitglied des Präsidiums der Deutschen Mathematiker-Vereinigung
• Mitglied des Scientific Advisory Board des Mathematischen Forschungsinstituts Oberwolfach (MFO) (ab 1.7.2021)
• Mitglied der wissenschaftlichen Kommission des Mathematischen Forschungsinstituts Oberwolfach (MFO), 1.1.2014-31.6.2021
• Managing Editor der Mathematische Annalen (bis Mitte 2021)
• member of the editorial board of Annales Mathematiques Blaise Pascal
• Mitglied des Editorengremiums von Journal of Homotopy and related structures
• Member of the Editorial board of Bulletin of the Iranian Mathematical Society
• Ehemaliges Mitglied des Fachkollegium Mathematik der DFG, Wahlperioden 2012-2020

Publications and Preprints (on the arXiv: author identified) or via Orcid (ID orcid.org/0000-0001-6473-305X) or references in Zentralblatt MATH or references in MathSciNet (subscription required))

Doctoral students

• Tom Dove: Topological T-duality
• Zhicheng Han: L2-invariants of locally symmetric spaces
• Anne Prepeneit: Chern characters in equivariant K-theory (?)
• Tim Martin Höpfner: Novikov-Shubin invariants of nilpotent Lie groups
• Jialong Deng: Index theory and positive scalar curvature
• Thorsten Hertl (joint supervision with Wolfgang Steimle)
• Engelbert Suchla: L2-invariants of anti-fractals
• NN beschäftigt sich mit Anwendungen von algebraischer Topologie (insbesondere von Fixpunktsätzen) auf Spieltheorie
• former student: NN: uniqueness of smooth K-theory (supervision jointly with Ulrich Bunke)

Masterarbeiten

• NN (2020): Calculations of twisted spin bordism groups, using the Adams spectral sequence
• NN (2021): Computation of topological complexity

Bachelorarbeiten

• NN (2021): Bundle theory and Postnikov towers
• NN (2020): A loop space bundle model of T-duality
• NN: Homotopy theory of model categories in algebra and geometry
• NN (2020): Spectral sequences and applications
• NN (2020): geplant: Bachelorarbeit im Bereich "topological complexity"
• NN (2020): Interesse an Thema, eventuell mit Bezug zu FA oder Poissongeometrie
• NN: Interesse an Thema mit eventuell Physik-Anteil, Bereiche Topologie, Analysis, Funktionentheorie und Funktionalanalysis
• NN: Interesse an Bachelorarbeit im Bereich K-Theorie
• NN: interessiert an Bachelorarbeit

erweiterte Gruppe von Forschern mit gemeinsamen Interessen

• Prof. Dr. Ralf Meyer
• Prof. Dr. Chenchang Zhu
• Prof. Dr. Dorothea Bahns
• Dr. Christohper Wulff
• Simone Cecchini, PhD
• Dr Thorben Kastenholz
• Dr Jeremy Mougel
• Dr. Engelbert Suchla
• Dr. Leo Benard
• Prof. Neslian Gügüncü

Former thesis projects and members of the group

Slides of a presentation about possible early postdoc grants and positions in Germany

Verantwortlicher: Thomas Schick