Quantum Mathematics Courses and Certifications

Michael Penn

The Quantum Derivative

Explore the concept of quantum derivative, its applications, and mathematical foundations in this concise tutorial on advanced calculus and quantum mechanics.

• YouTube
• 22 minutes
• On-Demand
• Free Video

Institute for Pure & Applied Mathematics (IPAM)

Dual Block Gradient Ascent for Entropically Regularised Quantum Optimal Transport

Explore the dual block gradient ascent approach to entropically regularised quantum optimal transport, including convergence rate proofs based on strong concavity and numerical experiment results.

• YouTube
• 48 minutes
• On-Demand
• Free Video

World Science Festival

Straight Talk on Quantum Computing, AI, and Mathematics

Dive into quantum computing, AI, and mathematics with Scott Aaronson and Brian Greene. Gain insights into current capabilities, future potential, and philosophical implications of these cutting-edge fields.

• YouTube
• 1 hour 38 minutes
• On-Demand
• Free Video

Institute for Pure & Applied Mathematics (IPAM)

Advancing Quantum Mechanics with Mathematics and Statistics - Tutorials

Dive into advanced quantum mechanics through mathematical and statistical approaches with expert tutorials covering electronic structure, Monte Carlo methods, and machine learning applications.

• YouTube
• 15 hours 15 minutes
• On-Demand
• Free Video

Quantum Theory - The Heisenberg Uncertainty Principle: Oxford Mathematics 2nd Year Student Lecture

Explore the Heisenberg Uncertainty Principle in quantum theory, its mathematical proof, and physical implications for measuring particle position and momentum.

• YouTube
• 21 minutes
• On-Demand
• Free Video

NCCR SwissMAP

Mathematics of Quantum Entanglement - Part 2: Entanglement and Tensors, Tensor Rank, Asymptotic Tensor Transformations

Explore advanced concepts in quantum entanglement, including tensor analysis and asymptotic transformations, to deepen understanding of quantum physics.

• YouTube
• 1 hour 49 minutes
• On-Demand
• Free Video

NCCR SwissMAP

Mathematics of Quantum Entanglement - Part 1

Explore quantum entanglement's mathematical foundations, including its role in communication, Bell inequalities, and quantum capacities.

• YouTube
• 1 hour 58 minutes
• On-Demand
• Free Video

Centre de recherches mathématiques - CRM

Mathematics that Resonates - Eigenvalues and Eigenvectors in Acoustics, Engineering, and Quantum Mechanics

Explore how eigenvalues and eigenvectors explain resonances in cello tones, microwaves, car noise reduction, and fusion reactors through surprising mathematical connections.

• YouTube
• 59 minutes
• On-Demand
• Free Video

Isaac Newton Institute for Mathematical Sciences

Topological Quantum Field Theory - From Physics to Mathematics and Back

Explore the fascinating bridge between physics and mathematics through topological quantum field theory in this public lecture by Professor Ilka Brunner.

• YouTube
• 1 hour 4 minutes
• On-Demand
• Free Video

Centre de recherches mathématiques - CRM

Quantum Fields, Gravity, and Mathematics

Explore the fascinating connection between quantum field theory, gravity, and mathematics, discovering how space-time emerges from quantum entanglement and Einstein's relativity relates to chaos theory.

• YouTube
• 1 hour 8 minutes
• On-Demand
• Free Video

Harvard CMSA

Remarks on Physical Mathematics and Quantum Field Theory

Explore the dynamic interplay between mathematics and theoretical physics through Stokes' phenomenon, quantum field theory, and differential topology of four-manifolds in modern scientific research.

• YouTube
• 1 hour 3 minutes
• On-Demand
• Free Video

Institut des Hautes Etudes Scientifiques (IHES)

Mathematics of Post-quantum Cryptography in the AI Era

Explore post-quantum cryptography's mathematical foundations and its intersection with AI, focusing on cutting-edge developments and future implications for cybersecurity.

• YouTube
• 50 minutes
• On-Demand
• Free Video

Fields Institute

Orthogonal Polynomials - Mathematics Inspired by Quantum Field Theory - Lecture 13

Explore orthogonal polynomials through the lens of quantum field theory in this advanced mathematical lecture by Masoud Khalkhali from Western University.

• YouTube
• 1 hour 43 minutes
• On-Demand
• Free Video

Insights into Mathematics

Alternating and Symmetric Polynumbers - A Missing Chapter of Algebra - Math Foundations 234

Explore symmetric, alternating, and central polynumbers in algebra. Discover their relationships, product formulas, and significance in mathematics and physics.

• YouTube
• 28 minutes
• On-Demand
• Free Video

Michael Penn

The Quantum Integral

Explore the fascinating concept of quantum integrals, delving into their mathematical properties and applications in advanced physics and quantum mechanics.

• YouTube
• 24 minutes
• On-Demand
• Free Video