Merlin Christ

I am a PhD student (since April 2020) in mathematics in the Quantum Universe Research School . My adviser is Tobias Dyckerhoff.

Research interests:
Higher categorical structures in categorification and representation theory.
More specifically, I am currently studying perverse schobers (mostly on surfaces), which are certain sheaves/cosheaves of enhanced triangulated categories which categorify perverse sheaves. Applications are in the study of Fukaya-type categories and categories arising in the categorification of cluster algebras.

Publications and preprints:

• Complexes of stable ∞-categories (with Tobias Dyckerhoff and Tashi Walde)
  Preprint: arxiv:2301.02606
• Cluster theory of topological Fukaya categories
  Preprint: arXiv:2209.06595
• Geometric models for the derived categories of Ginzburg algebras of n-angulated surfaces via local-to-global principles
  Preprint: arXiv:2107.10091
• Ginzburg algebras of triangulated surfaces and perverse schobers
  Forum Math. Sigma, 10:e8, 2022, doi:10.1017/fms.2022.1 (open access). arXiv:2101.01939
• Spherical monadic adjunctions of stable infinity categories
  IMRN, 2022, rnac187 doi:10.1093/imrn/rnac187. arXiv:2010.05294.

Teaching:

Beijing

• Spring 2022: Short course on perverse schobers
  8 lectures, Feb 23rd to April 13th, online.
  Lecture notes

Hamburg

• Winter semester 2022/23: No teaching
• Summer semester 2022: No teaching
• Winter semester 2021/22: Tutor Linear Algebra I
• Summer semester 2021: Tutor Algebraic Topology
• Winter semester 2020/21: Tutor Mathematics for Physicists III
• Summer semester 2020: Tutor Mathematics for Physicists II
• Winter semester 2019/20: Student tutor Algebra I
• Summer semester 2019: Student tutor Linear Algebra II
• Winter semester 2018/19: Student tutor Linear Algebra I

Contact:

Office hours: By appointment.