Conformal Transformations

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Isometries & Orientation in Modern Geometry

Explores true angle magnitude, reflections, isometries, and symmetries in modern geometry, with practical CAD applications.

Algebraic Identities and Trigonometry

Covers algebraic identities, trigonometry, and real functions, including injective, surjective, bijective, and reciprocal functions.

Conformal Transformations: Symmetries and Correlation Functions

Explores conformal transformations and correlation functions in quantum field theory, emphasizing symmetry preservation and fixed correlation functions.

Signals & Systems I: Fourier Transformation and Distributions

Explores the Fourier transformation, Parseval relation, weak convergence, and generalized transformations in signals and systems.

Conformal Field Theory: Exercises

Covers exercises on Conformal Field Theory, including Casimir operators and Lorentz generators.

Translations and Homotheties

Explores translations and homotheties, discussing their properties and practical applications in preserving geometric characteristics.

Holomorphic Functions: Taylor Series Expansion

Covers the basic properties of holomorphic maps and Taylor series expansions in complex analysis.

Correlation Functions in Loop Models: Structural Assumptions

Covers correlation functions in loop models and the role of degenerate fields in conformal field theory.

Weakly Coupled QFT in AdS

Explores weakly coupled quantum field theory in AdS, including state-operator correspondence and semiclassical gravity.

Conformal Correlation Functions

Explores conformal correlation functions, cross-ratios, conformal transformations, algebra, and correlation functions of primary operators.