Lennart Meier

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

CV

News: Currently I am advertising a PhD position, fully funded for four years and with flexible starting date. I have several (directions of) projects in mind, mostly in the fields of topological modular or automorphic forms and also in the direction of unstable telescopic homotopy theory, the details of course depending on the interests and knowledge of the student. Please let me know if you have any questions! Utrecht is currently a vibrant place to do homotopy theory with Ieke Moerdijk, Gijs Heuts and myself around and Magdalena Kedziorek and other postdocs soon joining.

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

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

  • Relatively free TMF-modules (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