PD Dr. Nima Moshayedi

Research

I am interested in different aspects of the mathematical concepts of Quantum Field Theory, such as

Poisson Sigma Model / Deformation Quantization, (Cyclic) Formality,
Relational Symplectic Groupoids,
AKSZ Sigma Models and (Quantum) Globalization Constructions,
Elements of Formal Geometry,
Chern–Simons Theory / Reshetikhin–Turaev, Turaev–Viro Construction,
Floer Theory, Invariants of 3-Manifolds,
Batalin–Vilkovisky (BV) Gauge Formalism for Manifolds with Boundary (BV-BFV Formalism),
Equivariant BV and BV-BFV Formalism,
Higher Codimension Quantization (e.g. Manifolds with Corners),
Elements of String Theory,
Twisted Supersymmetric Field Theories, A- and B-Models,
Mathematical Aspects of the Holography Principle (Boundary Theories, AdS/CFT Correspondence),
Topological Invariants of 4-Manifolds (Supersymmetric Yang–Mills Theory, Seiberg–Witten Theory, Donaldson–Witten Theory, Nekrasov Theory),
Aspects of Symplectic Topology (Fukaya categories, Homological Mirror Symmetry),
Derived Algebraic Geometry and its Connection to QFT,
Concepts of Representation Theory and Quantum Groups,
Higher Gauge Theory Methods, Donaldson–Thomas Theory.

I am also interessted in the didactics of mathematics. Here is a statement that I have written on teaching mathematics in high school (in German).

Fachlichkeit als Bedingung mathematischer Bildung, Ein Plädoyer für den Mathematikunterricht am Gymnasium, Gesellschaft für Bildung und Wissen (2026)

Available at Springer Verlag: SpringerBriefs in Physics.

Despite multiple checks, some typos made it to the printed version. Here you can find a list of errata.

Despite multiple checks, some typos made it to the printed version. Here you can find a list of errata.