Lectures related to Quantum Information Theory of Gravitational Anomaly

AdS/CFT: Quantum Gravity and Holographic Principle

Explores AdS/CFT, quantum gravity, and the holographic principle in string theory.

Covers the concept of holography in classical gravity and its relation to string theory.

Explores the AdS/CFT correspondence in various dimensions and its implications for string theory and quantum gravity.

Explores Analytic Infinite Derivative (AID) gravity, discussing infinite derivatives in gravity theories, UV completeness, and implications for quantum gravity.

Vibrating Strings: Mathematical Analysis and Fourier Series

Provides an overview of the mathematical analysis of vibrating strings using Fourier series and Laplace transforms.

Quantum Entropy

Covers quantum entropy, density matrices, and entanglement in quantum information theory.

Quantum Mechanics: Power Series Solutions

Explores power series solutions in quantum mechanics for differential equations and energy quantization.

Quantum Information Theory: Basics and Quantum States

Covers the basics of quantum information theory, focusing on classical and quantum states, evolutions, and measurements.

Recent Advances in the Dimer Model and Its Applications

Covers recent advancements in the dimer model, emphasizing its applications in probability and conformal field theory.

Internal Heat Transfer Effects

Covers internal heat transfer effects in heterogeneous reactions, emphasizing dimensionless numbers and transport effects.

Naturally Curved Hair in 2D

Delves into the mechanics of slender structures, analyzing naturally curved hair in 2D under gravity.

Symmetric Product Orbifolds & Holography

Explores Symmetric Product Orbifolds and their relation to Holography in AdS/CFT duality, covering AdS3 Gravity, primary operators, and BPS states.

Computational Geomechanics: Unconfined Flow

Explores unconfined flow in computational geomechanics, emphasizing weak form derivation and relative permeability.

Poincaré - Friedrichs: Theorem and Kernel Inequality

Explores the Poincaré - Friedrichs theorem and kernel inequality in constant conditions and boundary uniqueness.

Naturally Curved Hair in 2D

Explores the behavior of naturally curved hair in a 2D space under gravity.

Quantum Simulation with Cold Atoms

Covers the principles of quantum simulation with cold atoms, including optical dipole potentials and Feshbach resonances.

Fixed Energy Propagator: Analytic Structure and Applications

Explores the fixed energy propagator, its analytic structure, boundary conditions, and applications in quantum systems.

Naturally Curved Hair in 2D

Explores the behavior of naturally curved hair falling under gravity and the mathematical equations governing its shape.

Electric Displacement in Dielectrics: Gauss's Law and Boundary Conditions

Introduces the concept of electric displacement vector D and explores boundary conditions in dielectrics.

Computational Geomechanics: Unconfined Flow Analysis

Explores unconfined flow analysis in geomechanics, emphasizing iterative solution methods and boundary condition considerations.