Lennart Meier

Mathematical Institut of Utrecht
Budapestlaan 6
Kamer 508
Utrecht, Nederland
E-Mail: f.l.m.meier at uu.nl



  • There will be a small workshop on infinity-categories near Utrecht with limited space still available!

  • Teaching

    I am currently teaching the course Topologie en meetkunde and a seminar on topological K-theory (jointly with Gijs Heuts). All information for Topologie en meetkunde can be found on Blackboard.

    Research interests

    I am an algebraic topologist with a special interest in the spectrum of topological modular forms TMF. I am also interested in several related and unrelated questions in abstract homotopy theory, stable and unstable chromatic homotopy theory and (derived) algebraic geometry.

    Preprints and Publications

  • Decomposition results for rings of modular forms, arXiv:1710.03461

  • Monadicity of the Bousfield-Kuhn functor, arXiv:1707.05986 (joint with Rosona Eldred, Gijs Heuts and Akhil Mathew)

  • (Topological) modular forms with level structures: decompositions and duality, arXiv:1609.09264

  • The Brauer group of the moduli stack of elliptic curves, arXiv:1608.00851 (joint with Ben Antieau)

  • Gorenstein duality for Real spectra, arXiv:1607.02332 (joint with John Greenlees), Algebraic & Geometric Topology 17 (2017), 3547-3619

  • Appendix B: 'Descent for higher real K-theories' to 'Descent in algebraic K-theory and a conjecture of Ausoni-Rognes', arXiv:1606.03328
          (joint with Niko Naumann and Justin Noel, 2016)

  • The C2-spectrum Tmf1(3) and its invertible modules (joint with Mike Hill), Algebraic & Geometric Topology 17 (2017) 1953-2011 (arXiv)

  • Fibration Categories are Fibrant Relative Categories, arXiv:1503.02036 , Algebraic & Geometric Topology 16 (2016), 3271-3300. (arXiv)

  • Fibrancy of Partial Model Categories (joint with Viktoriya Ozornova, 2015) Homology, Homotopy and Appl Volume 17.2 (2015), 53-80 (arXiv)

  • Affineness and Chromatic Homotopy Theory (joint with Akhil Mathew) J Topology (2015) 8 (2): 476-528 (arXiv, Erratum to the published version)

  • Vector Bundles on the Moduli Stack of Elliptic Curves, Journal of Algebra Volume 428 (2015), 425–456. (arXiv)

  • Hilbert Manifolds, Bulletin of the Manifold Atlas (2014, expository)

  • Spectral Sequences in String Topology, Algebraic & Geometric Topology 11 (2011), 2829-2860. (arXiv)

  • Other Documents and Non-arXived Preprints

  • Computation of weight 1 cusp forms (2018)

  • Brauer groups of stacks via coarse moduli spaces (2017)

  • Relatively free TMF-modules (2017)

  • Lecture notes on TMF (2017)

  • Forms of BPR<n> (2017)

  • The moduli stack of elliptic curves (joint with Viktoriya Ozornova) (2017)

  • Homotopy Colimits of Relative Categories (2014) (Notes)

  • Hilbert Manifold Models for Mapping Spaces (2009)

  • Theses

  • My PhD Thesis - United Elliptic Homology (2012)

  • My Diploma Thesis - A Geometric View on String Topology (2009)

  • Talks

    If you are interested in any of the images from the slides for a talk or a paper of your own, please ask and I am happy to help.

  • Homotopy of Real K-theory and its duals

  • Fibrancy of (Relative) Categories (YTM 2014, Copenhagen)

  • Modules over Real K-Theory and TMF (YTM 2012, Copenhagen)

  • Vereinigte elliptische Homologie (Verteidigungsvortrag)

  •      Zentralblatt Reviews   MathSciNet Reviews