Photo by Rachael Boyd

JENS REINHOLD

Welcome! My name is Jens Reinhold and I am a mathematician. I hold a PhD from Stanford University, where I wrote my thesis under the guidance of Søren Galatius. I graduated in June 2019.


I am interested in algebraic and geometric topology, especially in moduli spaces, fiber bundles, and applications of homotopy theory to geometry, with a special focus on the topology of manifolds.


To contact me, send an email to x.y@posteo.de where you replace x and y by my given name and family name, respectively.



Preprints

  • Some rational homology computations for diffeomorphisms of odd-dimensional manifolds

With J. Ebert [ArXiv]

  • Essentiality and simplicial volume of manifolds fibered over spheres

With T. Kastenholz [ArXiv]

  • Contributed to the appendix of: Sphericity of κ-classes and positive curvature via block bundles

By G. Frenck [ArXiv]

Publications

  • Parametrised moduli spaces of surfaces as infinite loop spaces

With A. Bianchi, F. Kranhold, Forum of Mathematics, Sigma 10 (2022) e39 [Journal] [ArXiv]

  • Bundles with non-multiplicative Â-genus and spaces of metrics with lower curvature bounds

With G. Frenck, International Mathematics Research Notices 2022 (10), 7873–7892 [Journal] [ArXiv]

  • Characteristic numbers of manifold bundles over surfaces with highly connected fibers

With M. Krannich, Journal of the London Mathematical Society 102 (2) (2020), 879–904. [Journal] [ArXiv]

  • Tautological classes and smooth bundles over BSU(2)

Proceedings of the American Mathematical Society 147 (2019), 885–895. [Journal] [ArXiv]

  • Linear and quadratic ranges in representation stability

With T. Church, J. Miller and R. Nagpal, Advances in Mathematics 333 (2018), 1–40. [Journal] [ArXiv]

Research Talks

2022:

Jul. 6, Copenhagen (short talk at ICM satellite conference)

May 24, Göttingen

Jan. 31, Augsburg

2021:

Mar. 17, BBS Seminar, online [slides]

2020:

Nov. 11, Purdue (USA) [slides]

Oct. 30, PhD Seminar Münster: Questions on Bundles & Bordsim

Jun. 6, PhD Seminar Münster: The Witten genus and almost-parallelizable manifolds

2019:

Nov. 8, 32nd NRW topology meeting, Düsseldorf

Jan. 15, LMU München

Jan. 14, Augsburg

Jan. 8, Stockholm

2018:

Nov. 26, Münster

Nov. 6, Bonn

Jul. 10, YTM Copenhagen

Apr. 8, Graduate Student T&G Conference, UIC


Outreach

I have always had a passion for sharing my enthusiasm for mathematics.

See here for more details.