Applied Algebraic Topology Courses and Certifications

Applied Algebraic Topology Network

Vietoris-Rips Complexes and Applied Algebraic Topology Seminar

Explore advanced topics in Vietoris-Rips complexes, persistent homology, metric geometry, and their applications in applied algebraic topology through expert lectures.

• YouTube
• 1 day 16 hours 18 minutes
• On-Demand
• Free Video

Applied Algebraic Topology Network

Applied Algebraic Topology Methods, Computation, and Science - ATMCS/AATRN 2020

Explore cutting-edge research in applied algebraic topology through expert presentations on persistence diagrams, homology, and computational methods for data analysis.

• YouTube
• 17 hours 43 minutes
• On-Demand
• Free Video

Hausdorff Center for Mathematics

Applied and Computational Algebraic Topology

Explore advanced applications of algebraic topology in neural networks, distributed computing, persistence homology, and geometric analysis through expert lectures.

• YouTube
• 22 hours 9 minutes
• On-Demand
• Free Video

Applied Algebraic Topology Network

Applied Algebraic Topology Networks Seminar - Applications and Theory of Network Structure Through Topology and Algebra

Explore how network structure is revealed through topology and algebra in this comprehensive seminar series covering graph neural networks, brain connectivity, and mathematical frameworks.

• YouTube
• 13 hours 45 minutes
• On-Demand
• Free Video

Applied Algebraic Topology Network

Applied Algebraic Topology Network - Student Seminar Introduction to JavaPlex

Learn to use JavaPlex for topological data analysis, covering key concepts like witness complexes, data representation, and visualization tools. Ideal for students exploring computational topology.

• YouTube
• 59 minutes
• On-Demand
• Free Video

Applied Algebraic Topology Network

Cell Complex Neural Networks

Exploring neural network computations on cell complexes, generalizing graph neural networks and introducing inter-cellular message passing schemes that consider underlying topology.

• YouTube
• 46 minutes
• On-Demand
• Free Video

Applied Algebraic Topology Network

Herbert Edelsbrunner Interviewed by Dmitriy Morozov - September 30, 2020

Insightful interview with Herbert Edelsbrunner, exploring his contributions to computational geometry and topology, career journey, and perspectives on the field's evolution and future directions.

• YouTube
• 53 minutes
• On-Demand
• Free Video

Hausdorff Center for Mathematics

Descriptive Geometry of Function Spaces

Explore the intricate world of function spaces and their descriptive geometry in this advanced mathematical lecture by Shmuel Weinberger, part of the Hausdorff Trimester Program.

• YouTube
• 53 minutes
• On-Demand
• Free Video

Hausdorff Center for Mathematics

Natural Homology Computability and Eilenberg Steenrod Axioms

Explore natural homology computability and Eilenberg Steenrod axioms in this advanced mathematics lecture, delving into applied and computational algebraic topology concepts.

• YouTube
• 48 minutes
• On-Demand
• Free Video

Applied Algebraic Topology Network

A Sheaf-based Approach to Graph Neural Networks

Explore sheaf theory's application to Graph Neural Networks, offering a novel perspective on Geometric Deep Learning beyond traditional geometric structures.

• YouTube
• 1 hour 1 minute
• On-Demand
• Free Video

Applied Algebraic Topology Network

Data Complexes, Obstructions, Persistent Data Merging

Explore data complexes, topological obstructions in database JOIN operations, and persistence levels in data alignment. Learn about measure theory, homotopy, and homology in the context of data integration.

• YouTube
• 54 minutes
• On-Demand
• Free Video

Applied Algebraic Topology Network

Luis Scoccola - Locally Persistent Categories & Metric Properties of Interleaving Distances

Explore locally persistent categories, metric properties of interleaving distances, and their applications in algebraic topology, including natural interleavings and weak equivalences.

• YouTube
• 31 minutes
• On-Demand
• Free Video

Applied Algebraic Topology Network

Nathanael Cox - Effective Algorithms for Quotients of Semi-Algebraic Equivalence Relations

Explore efficient algorithms for computing quotients of semi-algebraic equivalence relations, focusing on complexity, tools, and key results in applied algebraic topology.

• YouTube
• 26 minutes
• On-Demand
• Free Video

Applied Algebraic Topology Network

Takashi Owada - Limit Theorems for Topological Invariants of the Dynamic Multi-Parameter Simplicial Complex

Explore topological invariants in dynamic multi-parameter simplicial complexes, covering connectivity, probability, and limiting processes in applied algebraic topology.

• YouTube
• 28 minutes
• On-Demand
• Free Video

Applied Algebraic Topology Network

Vanessa Robins Interviewed by Elizabeth Bradley

Explore applied topology with Vanessa Robins as she discusses her career journey, research interests, and insights on granular materials, collaborations, and emerging areas in the field.

• YouTube
• 50 minutes
• On-Demand
• Free Video