
Teenage prodigy shares his journey of building a nuclear fusion reactor and discusses the potential of fusion energy for solving future energy needs.

Nobel laureate Leymah Gbowee shares inspiring stories of personal transformation and advocates for unlocking the untapped potential of girls worldwide to create global change.

Explore the crucial role of mathematics in cybersecurity, uncovering its applications and importance in protecting digital systems and data.

Explore insights on effective math education with Vice Chancellor Mamokgethi Phakeng, challenging perceptions and discussing innovative teaching approaches for improved learning outcomes.

Explore thin position theory for knots, links, and graphs, and its applications to width, tunnel number, and bridge number in topology. Learn about "cut"-incompressible surfaces and additivity of knot invariants.

Explore Morse normal form for branched surfaces and its application in constructing taut foliations, building on Charles Delman's work. Gain insights into advanced topics in low-dimensional topology.

Explore tangle decompositions in knot theory, focusing on Khovanov homology and immersed curves. Learn how these concepts aid in investigating cosmetic surgery and crossing conjectures.

Explore representations in Homeo_+(S^1) and their role in verifying left-orderability of 3-manifold groups, with applications to the L-space conjecture and taut foliations in various topological settings.

Explore taut foliations in 3-manifolds with Heegaard genus two, examining the connection between left-orderable fundamental groups and co-orientable taut foliations in closed, orientable, irreducible 3-manifolds.

Explore the Margulis constant in hyperbolic geometry, its significance, and ongoing research to determine its precise value through computational methods and theoretical analysis.

Exploración de límites en el número de asas de variedades suturadas, utilizando argumentos geométricos y desarrollando una función de número de asas en homología de segundo grado.

Explore Heegaard splittings in topology, focusing on oriented isotopy of splitting surfaces and the possibility of "flipping" sides. Examine contexts, examples, and implications in this advanced mathematical discussion.

Explore applications of guts in 3-manifolds, including minimal volumes of hyperbolic manifolds and Euler characteristic control in Dehn fillings. Gain insights into advanced topological concepts and their implications.

Explore knot complements, Seifert surfaces, and sutured manifolds in low-dimensional topology. Discover unique decompositions and their implications for the Kakimizu complex and Thurston norm.

Explore annular links, double branched covers, and annular Khovanov homology. Discover how these concepts relate to braid closures and the wrapping conjecture in low-dimensional topology.

Explore forbidden minor multibranched surfaces and critical complexes in 3-sphere embeddings. Analyze K5 × S1 and K3,3 × S1 families, critical complexes, and their properties in low-dimensional topology.

Explores non almost-fibered knots in 3-sphere, analyzing circular thin positions and Seifert surfaces. Focuses on hyperbolic genus one knots with multiple disjoint Seifert surfaces, demonstrating their complex circular thin positions.

Explore instanton Floer homology's surgery formula, its applications in computing 3-manifold invariants, and connections to SU(2)-representations of fundamental groups.

Explore singular fibrations in knot exteriors and their extensions over handlebodies, connecting handle-ribbon knots to circular Morse functions in low-dimensional topology.

Explore the intersection of mathematics and folding, delving into the construction of the third root of two. A thought-provoking examination of mathematical concepts through the lens of paper folding techniques.

Explore visual information processing in the brain and AI with Dr. Odelia Schwartz, comparing biological and artificial neural networks for image recognition and perception.