Jens Reinhold


About.

Welcome! I am a graduate student in pure mathematics at Stanford University. My advisor is Søren Galatius and my research interests lie in algebraic and geometric topology. I will presumably receive my PhD in June 2019; my CV is available.

Email: jreinh AT stanford.edu. Mailing address: 450 Serra Mall, CA-94305 Stanford, USA.

Research.

My research interests are centered around the interactions between homotopy theory and the topology of manifolds. In particular, I am interested in moduli spaces of manifolds, manifold bundles and their characteristic classes, configuration spaces, homological and representation stability, surgery theory and the classification of high-dimensional manifolds.

Preprints:

3. Characteristic numbers of manifold bundles over surfaces with highly connected fibers, joint with M. Krannich, available upon request.

2. Tautological classes and smooth bundles over BSU(2), available on the ArXiv, Proceedings of the American Mathematical Society, to appear.

1. Linear and quadratic ranges in representation stability, joint with T. Church, J. Miller and R. Nagpal, available on the ArXiv, Advances in Mathematics, to appear.

Teaching.

In spring 2018, I was the Teaching Assistant for Jonathan Luk's class MATH 63CM: Modern Mathematics, on ordinary differential equations. For further information, see the website of the class.

Besides my formal teaching, I am also an active mentor in the Stanford Math Directed Reading Program (DRP). See the website for further information.

For previous teaching, see my CV above.

Academic Travel.

I like taking part in conferences around the globe. This summer (2018), I intend to participate in the three events listed below. For a list of all conferences and workshops I have attended in the past, see my CV above.

July 29 – August 4, 2018 - European Talbot Workshop, Fischbach bei Dahn, Germany.

July 9 – 13, 2018 - Young Topologists Meeting, University of Copenhagen, Denmark.

June 18 – 22, 2018 - International Conference on Manifolds, Groups and Homotopy, Isle of Skye, Scotland. The slides of my talk are available.

Outreach.

During high school, I participated in various mathematical competitions. As a member of the academic world, I would now like to give back the enthusiasm which I have experienced back then. Since 2013, I help selecting and training the German team for the International Mathematical Olympiad. See this website (in German) for further information.

I have written the two articles below (in German) which should be accessible to talented high school students.

PROJEKTIVE GEOMETRIE

EINHEITSWURZELN, KOMBINATORIK & ZAHLENTHEORIE

In 2015 and 2017, I have been involved as an instructor in the summer program Deutsche SchülerAkademie, which I highly recommend.