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Merlin Christ

I HAVE MOVED. Please consult my external personal webpage for up to date information.

I completed my PhD in 2023 in mathematics in the Quantum Universe Research School under the supervision of Tobias Dyckerhoff.

Research interests:
-Higher category theory: categorified perverse sheaves (perverse schobers), aspects of categorified homological algebra.
-Representation theory: categorifications of cluster algebras, Calabi-Yau (dg-)algebras arising from surfaces, relation with Fukaya-categories.
-Applying higher category theory in representation theory.

Publications and preprints:

• Perverse schobers, stability conditions and quadratic differentials (with Fabian Haiden and Yu Qiu)
  Preprint: arXiv:2303.18249. Submitted.
• 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. Submitted.
• 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
  Int. Math. Res. Not. IMRN, 2023(15):13153–13213, 2022, 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

• Summer semester 2023: Tutor Linear Algebra II, Seminar on Symplectic and Hochschild (co)homology (coorganized)
• 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:

Department of Mathematics Research Group: Algebra and number theory Bundesstraße 55 20146 Hamburg

Room 340 email: merlin.christ (at) uni-hamburg.de

Office hours: By appointment.