Topology Courses and Certifications

Insights into Mathematics

Introduction to Topology in Mathematics History

1 rating

Explore topology's historical development, from Euler's polyhedron discoveries to Poincaré's insights. Learn about key concepts like Euler characteristic, Riemann surfaces, and surface classification in this mathematical journey.

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

3Blue1Brown

Understanding Topology Through the Inscribed Rectangle Problem

Explore the fascinating world of topology through an elegant solution to the inscribed rectangle problem, featuring innovative animations and mathematical insights into geometric principles.

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

ICTP Mathematics

Topology

Explore fundamental concepts in topology through comprehensive lectures covering topological spaces, continuity, compactness, and connectedness in this ICTP diploma series.

• YouTube
• 1 day 8 hours 2 minutes
• Self-Paced
• Free Video

JL Mussi

5 Common Topology Traps to Avoid in 3D Modeling

Master essential topology principles and avoid 5 critical mistakes in 3D modeling to create professional-grade models across major software platforms like Maya, Blender, and Cinema 4D.

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

FlippedNormals

Is Good Topology Overrated?

Exploring the necessity of good topology in 3D modeling, discussing when to use Zremesh, proper topology, or decimation, and examining the impact on design time, deformation, and overall efficiency.

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

Build a Modern Computer from First Principles: From Nand to Tetris (Project-Centered Course)

27 ratings

Hands-on journey to build a modern computer system from logic gates to a functioning general-purpose computer, covering hardware, machine language, and assembly.

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

• Best of All Time

Mathemaniac

The More General Euler Characteristic Formula - Understanding Surface Topology

Explore the deeper implications of Euler's characteristic formula as an inequality, examining its relationship with genus, Morse functions, and topological surfaces through intuitive explanations.

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

Stony Brook Mathematics

On the Applications of Topology

Explore topological methods for analyzing complex data sets, focusing on persistent homology and mapper, with applications in computer vision, biology, and medicine.

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

NCCR SwissMAP

Master Class in Geometry, Topology and Physics

Explore advanced mathematical physics through algebraic geometry, symplectic geometry, quantum topology, field theory, and Poisson geometry in this intensive master class series.

• YouTube
• 1 week 20 hours 28 minutes
• Self-Paced
• Free Video

Institute for Advanced Study

Workshop on Topology - Identifying Order in Complex Systems

Explore advanced topological methods for analyzing complex systems, from DNA recombination to protein folding, using persistent homology and geometric approaches.

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

International Centre for Theoretical Sciences

Dualities in Topology and Algebra 2023

Explore advanced mathematical concepts connecting topology and algebra through expert lectures on chromatic homotopy theory, Grothendieck duality, and stratification theorems.

• YouTube
• 1 day 15 hours 59 minutes
• Self-Paced
• Free Video

Applied Algebraic Topology Network

Topological Complexity Seminar - Applied Algebraic Topology Network

Explore advanced mathematical concepts in topological complexity through expert seminars covering motion planning, manifold theory, and algebraic topology applications.

• YouTube
• 1 day 17 hours 29 minutes
• Self-Paced
• Free Video

Hausdorff Center for Mathematics

Junior Trimester Program - Topology

Explore advanced topology through expert lectures on operads, motivic Galois groups, L2-invariants, K-theory, and fusion systems from leading mathematicians.

• YouTube
• 2 days 16 hours 18 minutes
• Self-Paced
• Free Video

mario @ elementza

Hard Surface Topology - Understanding Challenges and Fundamentals

Discover essential techniques for mastering hard surface topology in 3D modeling, from basic flat surfaces to complex curved geometries, with practical examples and expert guidance.

• YouTube
• 1 hour 44 minutes
• Self-Paced
• Free Video

mario @ elementza

Hard Surface Topology - Simple Rules to Follow

Master essential hard surface topology techniques with clear rules for optimal mesh flow and efficient 3D modeling, focusing on distribution and redirection principles.

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