Topology Courses and Certifications

Institute for Advanced Study

Geometry and Topology of Hamiltonian Floer Complexes in Low-Dimension - Dustin Connery-Grigg

Explore Hamiltonian Floer complexes on surfaces, connecting dynamics to Floer chain structure. Discover a new symplectic norm and geometric interpretations of chain complexes using transverse foliations.

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

Institute for Pure & Applied Mathematics (IPAM)

Classical Topology and Quantum Complexity - IPAM at UCLA

Explore the intersection of classical topology and quantum complexity, focusing on computational challenges in determining homology groups and their implications for quantum mechanics and data analysis.

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

Institute for Pure & Applied Mathematics (IPAM)

Inferring and Characterizing Neuronal Connectivity with Deep Geometry and Topology

Exploring novel geometric and topological methods to decode neural connectivity rules in C. elegans, revealing insights into embryonic development and nervous system architecture.

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

Institute for Pure & Applied Mathematics (IPAM)

Topology of Moduli Spaces of Topological Theories and Applications to Codes

Explore moduli spaces of topological theories, their homotopy types, and applications to Hastings-Haah floquet codes in quantum error correction and quantum gravity.

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

IMSA

Topology of the Fermi Sea

Explore the Fermi sea's topology, its quantized responses, and correlation functions. Discover how topological invariants manifest in entanglement and distinguish Fermi liquid phases.

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

IBM Data Topology

Learn to optimize data flow and meet consumer needs through modern logical topology construction, addressing challenges in regulation, AI, multicloud environments, and data accessibility.

• Coursera
• 5 hours 48 minutes
• Self-Paced
• Paid Course

Topology

Explore fundamental concepts of topology, including metric spaces, convergence, compactness, continuity, and connectedness, with applications to real-world mathematical problems.

• YouTube
• 10 hours
• Self-Paced
• Free Video

拓扑学

Discover the fundamental concepts of topology, exploring geometric properties, continuous mappings, and modern mathematical theories for advanced mathematical understanding.

• XuetangX
• Self-Paced
• Free Online Course

GIS Data Acquisition and Map Design

Learn to acquire GIS data, evaluate metadata, prepare datasets, geocode addresses, and design effective maps using cartographic principles. Create your own quantitative map in the final project.

• Coursera
• 20 hours 28 minutes
• Self-Paced
• Paid Course

Advanced Data Structures, RSA and Quantum Algorithms

1 rating

Explore number-theory cryptography, quantum algorithms, and advanced data structures. Learn RSA, Grover's search, Shor's algorithm, B-Trees, and Tries for practical applications in computer science.

• Coursera
• 1 day 20 hours 46 minutes
• Self-Paced
• Paid Course

Instituto de Matemática Pura e Aplicada

Análise em Variedades (2024)

Explore variedades diferenciáveis, formas diferenciais, Teorema de Stokes e cohomologia de De Rham neste programa avançado de matemática do IMPA com Professor Vinicius Ramos.

• YouTube
• 1 day 15 hours 10 minutes
• Self-Paced
• Free Video

CG Cookie

Introduction to Dynamic Topology Sculpting in Blender

Explore organic sculpting in Blender using dynamic topology. Learn to add detail, create new forms, and optimize polycount for flexible and creative 3D modeling.

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

Modern Topics in Condensed Matter Physics

Explore superconductivity, fractionalization, topology, and non-equilibrium phases in quantum condensed matter physics, gaining insights into cutting-edge research and modern theoretical concepts.

• Coursera
• 12 hours 1 minute
• Self-Paced
• Paid Course

Model Checking with SAT and SMT

Master SAT and SMT solving fundamentals for model checking, covering CDCL algorithms, bounded verification, and theory-specific solvers in practical scenarios.

• Coursera
• 9 hours 50 minutes
• Self-Paced
• Paid Course

Digital Systems: From Logic Gates to Processors

1 rating

Explore digital systems design from logic gates to processors, covering combinational and sequential circuits, VHDL, and implementation strategies. Gain practical skills for designing complex digital systems and understanding computer architecture fundam…

• Coursera
• 28 hours
• Self-Paced
• Paid Course