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.

Publications in Scientific Journals

1. A. S. Cattaneo, N. Moshayedi
   Equivariant BV-BFV Formalism
   J. Geom. Phys. 218 (2025) arXiv:2410.00045
2. A. S. Cattaneo, N. Moshayedi, A. Smailovic Funcasta
   3D Supergravity in the Batalin–Vilkovisky Formalism
   Ann. Henri Poincaré (2025) arXiv:2412.14300
3. N. Moshayedi
   4-Manifold Topology, Donaldson–Witten Theory, Floer Homology and Higher Gauge Theory Methods in the BV-BFV Formalism
   Rev. Math. Phys. 34.9, 2250029, (2022), arXiv:2107.00304 
4. N. Moshayedi, F. Musio
   Computations of Kontsevich Weights of Connection and Curvature Graphs for Symplectic Poisson Structures
   Adv. Theor. Math. Phys. 25.5, pp. 1325–1365, (2022), arXiv:1912.08742
5. N. Moshayedi
   On Globalized Traces for the Poisson Sigma Model
   Commun. Math. Phys. 393, pp. 583–629, (2022), arxiv:1912.02435
6. N. Moshayedi, D. Saccardo
   Formal Global Perturbative Quantization of the Rozansky–Witten Model in the BV-BFV Formalism
   J. Geom. Phys. 174, (2022), arxiv:2106.10463
7. I. Contreras, N. Moshayedi, K. Wernli
   Convolution Algebras for Relational Symplectic Groupoids and Reduction
   Pac. J. Math. 313.1, pp. 75–102, (2021), arxiv:2008.05281
8. N. Moshayedi
   On Quantum Obstruction Spaces and Higher Codimension Gauge Theories
   Phys. Lett. B 815, (2021), arxiv:2008.08477
9. N. Moshayedi
   Formal Global AKSZ Gauge Observables and Generalized Wilson Surfaces
   Ann. Henri Poincaré 21, pp. 2951–2995, (2020), arxiv:2004.03984
10. A. S. Cattaneo, N. Moshayedi
    Introduction to the BV-BFV formalism
    Rev. Math. Phys. 32.9, 2030006, (2020), arxiv:1905.08047
11. A. S. Cattaneo, N. Moshayedi, K. Wernli
    On the Globalization of the Poisson Sigma Model in the BV-BFV Formalism
    Commun. Math. Phys. 375.1, pp. 41–103, (2020), arxiv:1808.01832
12. A. S. Cattaneo, N. Moshayedi, K. Wernli
    Globalization for Perturbative Quantization of Nonlinear Split AKSZ Sigma Models on Manifolds with Boundary
    Commun. Math. Phys. 372.1, pp. 213–260, (2019), arxiv:1807.11782
13. A. S. Cattaneo, N. Moshayedi, K. Wernli
    Relational Symplectic Groupoid Quantization for Constant Poisson Structures
    Lett. Math. Phys. 107, pp. 1649–1688, (2017), arxiv:1611.05617

Preprints

1. N. Moshayedi
   Notes on Geometric Quantization
   arXiv:2010.15419

Published Books

Quantum Field Theory and Functional Integrals: An Introduction to Feynman Path Integrals and the Foundations of Axiomatic Field Theory

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.

Kontsevich's Deformation Quantization and Quantum Field Theory

Available at Springer Verlag: Lecture Notes in Mathematics

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

Introduction to Probability Theory: A First Course on the Measure-Theoretic Approach

Available at World Scientific: Series on Probability Theory and Its Applications