Mathematical Institute of the University of Bonn

Contact

Address	Hausdorff Center for Mathematics Villa Maria Endenicher Allee 62 53115 Bonn, Germany
Office	1.002*
*Note	I am currently visiting Joachim Kock in Barcelona! You can find me at the UAB math department, office C1/308.
Email	thomas.poguntke__hcm.uni-bonn.de

Research

I am a fourth year graduate student interested in categorical algebra, homotopy theory, and arithmetic algebraic geometry. More precisely, I am currently investigating topics related to Waldhausen's construction of algebraic K-theory, higher Segal structures, and geometric Hall algebras. This poster outlines some general ideas.

Please find below a list of my mathematical writings.

• Equivariant motivic Hall algebras (Preprint: arXiv:1808.04165).

• Higher Segal structures in algebraic K-theory (Preprint: arXiv:1709.06510).

• Algebraic and geometric stability (Notes from the Introductory school on Moduli Spaces, 2015).

• Group schemes with Fq-action (Bulletin de la SMF, 145(2):345-380, 2017; arXiv:1502.02150).

Teaching

Summer term 2018	Exercises in Linear Algebra
Winter term 2017/18	Exercises in Algebra II (Solutions: Exercise 8.4, Exercise 9.2)
Summer term 2017	Elemente der Mathematik
Summer term 2014	Basic Notions Seminar (Check out its current incarnation!)
Winter term 2013/14	Basic Notions Seminar