Geometry & Topology Courses and Certifications

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

Kavli Institute for Theoretical Physics

Efficient Prediction of Superlattice Band Topology from Quantum Geometry

Explore efficient methods for predicting superlattice band topology using quantum geometry, presented by Jen Cano from Stony Brook University at the Moiré materials conference.

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

MUNI Seminar Series

Lorentz Geometry and Contact Topology in Spacetime

Explore the intersection of Lorentz geometry and contact topology, examining light rays in spacetime and their implications for causality and global rigidity.

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

Institute for Advanced Study

Geometry and Topology of Spectral Minimal Partitions

Delve into spectral minimal partitions, exploring geometric structures, topological classifications, and energy-minimizing decompositions of manifolds through modified Laplacian operators and Aharonov-Bohm Hamiltonians.

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

Banach Center

Probabilistic Methods in Geometry and Topology

Discover how probabilistic methods prove existence of geometric and topological structures without explicit construction, from combinatorics to cutting-edge applications in algebra and Riemannian geometry.

• YouTube
• 1 hour 7 minutes
• Self-Paced
• Free Video

Mathematics XI Part-II

1 rating

Explore advanced mathematical concepts including binomial theorem, sequences, geometry, calculus, and probability. Develop problem-solving skills and gain a deeper understanding of complex mathematical principles.

• Swayam
• 24 weeks
• Self-Paced
• Free Online Course

Fractals and Scaling

Explore fractals, scaling, and power laws in natural and social systems. Learn to calculate fractal dimensions, analyze power law distributions, and examine applications in metabolic and urban scaling.

• Complexity Explorer
• Self-Paced
• Free Certificate

University of Nevada, Las Vegas

Digital to Physical: Repetition + Difference: Component-to-System Relationships

Explore parametric design through component creation, geometric analysis, and spatial system development, culminating in a domestic installation that showcases innovative thinking and fabrication skills.

• Kadenze
• 24 hours
• Self-Paced
• Free Online Course

Secondary : Maths(211)

Comprehensive mathematics course covering algebra, geometry, trigonometry, and statistics. Develops problem-solving skills and practical applications for everyday life and various educational fields.

• Swayam
• 24 weeks
• Self-Paced
• Free Online Course

IIT Kanpur;  NPTEL

Design Practice - II

Explore advanced design concepts including 3D modeling, MEMS, rapid prototyping, and mechatronics. Develop skills in geometric transformations, structural analysis, and intelligent product design.

• Swayam
• 8 weeks
• Self-Paced
• Free Online Course

Northeast Normal University

Humanistic Mathematics

Explore mathematical concepts through a humanities lens, developing logical reasoning and scientific thinking while building innovative problem-solving skills - no heavy calculations required.

• XuetangX
• Self-Paced
• Free Online Course

Point Set Topology

Explore fundamental concepts in point set topology, including topological spaces, continuous maps, metric spaces, connectedness, compactness, and metrization, with a focus on practical examples from mathematics.

• Swayam
• 8 weeks
• Available until Sep 11, 2026
• Free Online Course

Fractals and Multifractals

Explore the mathematical framework of fractals and multifractals, analyzing irregular structures through non-integer dimensions, using real analysis concepts for engineering and mathematical sciences students.

• Swayam
• Self-Paced
• Free Online Course

Geometry of Curves and Surfaces

Explore the intrinsic geometry of curves and surfaces in this comprehensive introduction to differential geometry, covering curvature, Frenet-Serret formulas, Gauss maps, and the Gauss-Bonnet theorem.

• Swayam
• 12 weeks
• Self-Paced
• Free Online Course

Architectural Mechanics

Master fundamental principles of structural engineering, from force systems and material mechanics to deformation analysis and static structure calculations.

• XuetangX
• Self-Paced
• Free Online Course