BIMSA Courses

Degeneration of Singular Circle Patterns

Explore singular Euclidean circle patterns, cone-angle maps, and degeneration schemes. Analyze the structure of cone-angle polytopes and their relationship to admissible partial edge orientations.

• YouTube
• 1 hour 1 minute
• Self-Paced
• Free Video

Summation for Two Sets in Hyperbolic Space - ICBS 2024

Explore hyperbolic summation and its application in developing Brunn-Minkowski theory for hyperbolic space geometry, extending classical Euclidean concepts.

• YouTube
• 1 hour 4 minutes
• Self-Paced
• Free Video

Certifying Bipartite Pure Quantum States Efficiently Using Untrusted Devices

Explore efficient certification of bipartite pure quantum states using untrusted devices, requiring fewer measurements while maintaining reliability in quantum experiments.

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

Multipollutant Traceability via Dynamic CGO Solutions

Explore a novel inversion framework using dynamic CGO solutions for precise identification of multiple pollution sources in environmental systems, addressing complex pollutant interactions.

• YouTube
• 1 hour 1 minute
• Self-Paced
• Free Video

Bayesian Quantile Joint Modeling of Multivariate Longitudinal and Time-to-Event Data

Explore Bayesian quantile joint modeling for multivariate longitudinal and time-to-event data, focusing on non-Gaussian outcomes and time-varying covariates in medical research applications.

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

Computational Quantum Mechanics in Phase Space - An Attempt to Break the Curse of Dimensionality

Explore computational quantum mechanics in phase space, focusing on breaking the curse of dimensionality through grid-based and particle-based methods for high-dimensional Wigner quantum dynamics simulations.

• YouTube
• 1 hour 4 minutes
• Self-Paced
• Free Video

Random Walk on Dynamical Percolation: Separating Critical and Supercritical Regimes

Explore random walks on dynamical percolation, examining critical and supercritical regimes in infinite regular trees and lattices. Analyze speed bounds and mean squared displacement.

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

A Geometrical Interpretation of Universally Quantified Inequalities and Its Applications to Mathematics

Explore a geometrical interpretation of universally quantified inequalities and its applications across mathematics, focusing on Shannon entropy and connections to various mathematical branches.

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

Analysis from a Boldface Recursion Theory Point of View

Explore real analysis through recursion theory, applying results and techniques to gain new insights and perspectives.

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

String Theory and Geometric Representation Theory

Explore connections between string theory and geometric representation theory, uncovering surprising relationships and new developments in supersymmetric gauge theory.

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

Gromov-Witten Type Theory and Statistical Physics

Explore connections between Gromov-Witten theory and statistical physics, applying concepts from both fields to gain new insights and tackle complex problems in topological string theory.

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

Riemann Hypothesis for Plane Curve Singularities

Explore the Riemann Hypothesis for plane curve singularities through motivic superpolynomials. Delve into L-functions, DAHA-superpolynomials, and their applications in number theory and geometry.

• YouTube
• 1 hour 4 minutes
• Self-Paced
• Free Video

The Early Universe as a Probe of Fundamental Physics

Explore nonequilibrium quantum processes in the early universe and their implications for particle physics and cosmology, bridging fundamental physics with cosmic observations.

• YouTube
• 1 hour 6 minutes
• Self-Paced
• Free Video

Points, Lines, and Subdivisions in Polyhedra - ICBS 2024

Explore polyhedra's role in mathematics, from PL topology to arithmetic, and discover new insights in combinatorics and related fields.

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

Degeneration, Geometry and Duality in String Theory

Explore generalised T-dualities in string theory, focusing on type I' and IIA duality, SYZ interpretation of mirror symmetry, and geometric duals of strong-coupling phenomena.

• YouTube
• 1 hour 9 minutes
• Self-Paced
• Free Video