Lattices Courses and Certifications

Fields Institute

Margulis Arithmeticity and Approximate Lattices

Explore Margulis arithmeticity and approximate lattices in this advanced mathematics lecture by Ehud Hrushovski, delving into complex algebraic and geometric concepts.

• YouTube
• 1 hour 2 minutes
• Self-Paced
• Free Video

International Centre for Theoretical Sciences

Spontaneous Disorder Near the Mott Transition on Frustrated Lattices

Explore spontaneous disorder in frustrated lattices near Mott transitions. Examine pyrochlore models, effective theories, and experimental realizations in molybdates. Analyze phase diagrams, magnetization, and transport properties.

• YouTube
• 48 minutes
• Self-Paced
• Free Video

Simons Institute

Another Round of Breaking and Making Quantum Money - How to Not Build It From Lattices and More

Explore quantum money security, focusing on lattice-based constructions and their vulnerabilities. Learn about cryptographic challenges and potential solutions in quantum computing.

• YouTube
• 38 minutes
• Self-Paced
• Free Video

Kavli Institute for Theoretical Physics

Nanoparticles Assembled by DNA - From Devices to Lattices - Tim Liedl

Explore DNA-based nanoparticle assembly techniques for creating complex structures and devices, from individual components to intricate lattices, with potential applications in materials science and nanotechnology.

• YouTube
• 36 minutes
• Self-Paced
• Free Video

TheIACR

Lattices and Codes in Cryptography - TCC 2023 Session

Explore cutting-edge research on lattices and codes in cryptography, featuring presentations from leading experts at the Theory of Cryptography Conference 2023.

• YouTube
• 58 minutes
• Self-Paced
• Free Video

International Centre for Theoretical Sciences

Uniform Stability of Higher-rank Lattices - Lecture 2

Explore uniform stability in higher-rank arithmetic groups, focusing on advanced mathematical concepts and their applications in group theory and geometry.

• YouTube
• 1 hour 24 minutes
• Self-Paced
• Free Video

International Centre for Theoretical Sciences

Central Extensions of Arithmetic Lattices by Matthew Stover

Explore central extensions of arithmetic lattices, focusing on techniques from algebraic and analytic number theory. Gain insights into applications in geometry, topology, and mathematical physics.

• YouTube
• 1 hour 14 minutes
• Self-Paced
• Free Video

TheIACR

Partitioning via Non Linear Polynomial Functions - More Compact IBEs from Ideal Lattices

Explore advanced cryptography concepts including adaptive security, simulation trapdoors, and Fourier IBE in this technical talk on partitioning via non-linear polynomial functions for compact IBEs from ideal lattices.

• YouTube
• 27 minutes
• Self-Paced
• Conference Talk

TheIACR

Programmable Hash Functions from Lattices

Explore lattice-based cryptography and its applications in programmable hash functions, a key component in modern cryptographic systems.

• YouTube
• 25 minutes
• Self-Paced
• Conference Talk

TheIACR

Efficient Updatable Public Key Encryption from Lattices - AC 2023

Explore efficient updatable public key encryption techniques based on lattice cryptography, advancing secure communication in the post-quantum era.

• YouTube
• 23 minutes
• Self-Paced
• Free Video

TheIACR

Multi Theorem Preprocessing NIZKs from Lattices

Explore innovative lattice-based cryptography techniques for multi-theorem preprocessing NIZKs, advancing secure communication and privacy-preserving protocols.

• YouTube
• 23 minutes
• Self-Paced
• Conference Talk

TheIACR

Two Round PAKE from Approximate SPH and Instantiations from Lattices

Explore two-round password-authenticated key exchange protocols using approximate smooth projective hash and lattice-based instantiations.

• YouTube
• 23 minutes
• Self-Paced
• Conference Talk

TheIACR

One Shot Verifiable Encryption from Lattices

Explore lattice-based cryptography with a focus on one-shot verifiable encryption, covering zero-knowledge proofs, Ring-LWE encryption, and practical applications in this cutting-edge research presentation.

• YouTube
• 25 minutes
• Self-Paced
• Conference Talk

Kavli Institute for Theoretical Physics

Correlated Phases in Geometrically Frustrated Lattices - Ming Yi

Exploring correlated phases in geometrically frustrated lattices, focusing on recent developments in topology, symmetry, and interactions in condensed matter physics.

• YouTube
• 34 minutes
• Self-Paced
• Free Video

Kavli Institute for Theoretical Physics

Mobile Majorana Zero Modes in Two-Channel Kondo Lattices - Rebecca Flint

Explores mobile Majorana zero modes in two-channel Kondo lattices, discussing the interplay of topology, symmetry, and interactions in correlated quantum materials and their potential applications.

• YouTube
• 46 minutes
• Self-Paced
• Free Video