Low Dimensional Topology & Circle-valued Morse Functions
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.
Low Dimensional Topology and Circle-valued Morse Functions
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.
Low Dimensional Topology and Circle-valued Morse Functions
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.
Low Dimensional Topology and Circle-valued Morse Functions
Explore the Margulis constant in hyperbolic geometry, its significance, and ongoing research to determine its precise value through computational methods and theoretical analysis.
Low Dimensional Topology and Circle-Valued Morse Functions
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.
Low Dimensional Topology - Flipping Heegaard Splittings
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.
Low Dimensional Topology and Circle-valued Morse Functions
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.
Low Dimensional Topology and Circle-Valued Morse Functions
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.
Low Dimensional Topology and Circle-valued Morse Functions
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.
Low Dimensional Topology and Circle-valued Morse Functions
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.
Low Dimensional Topology and Circle-valued Morse Functions
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.
Low Dimensional Topology and Circle-valued Morse Functions
Explore instanton Floer homology's surgery formula, its applications in computing 3-manifold invariants, and connections to SU(2)-representations of fundamental groups.
Low Dimensional Topology and Circle-valued Morse Functions
Explore singular fibrations in knot exteriors and their extensions over handlebodies, connecting handle-ribbon knots to circular Morse functions in low-dimensional topology.
To Fold or Not to Fold? - On Mathematics, Folding, and How to Construct the Third Root of Two
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.
Self-Organization Phenomena in Mathematics and the World
Explore self-organization phenomena in mathematics and real-world applications with expert Ernesto Lupercio, delving into complex systems and emergent behaviors.
From Bridges to Cellphone Towers by the Way of Doughnuts - Some Problems in Graph Theory
Explore graph theory applications in real-world scenarios, from bridge construction to cellphone tower placement, with Princeton mathematician Maria Chudnovsky's engaging WIMSA Conference presentation.
Symmetry Defects - Affine Invariants of Curves and Surfaces
Explore symmetry defects and affine invariants in curves and surfaces with Director Stanislaw Janeczko's insightful presentation from the WIMSA Inaugural Conference.
Forecasting Healthy Future
Explore the intersection of global health, technology, and climate change, and learn how collaborative efforts can address health inequalities in our changing world.
Experience
Explore user-centric design principles and the importance of creating seamless experiences in software development, drawing insights from various industries and real-world examples.
Async Non-Blocking Code Reviews
Discover strategies for efficient, conflict-free code reviews. Learn psychological insights, statistical approaches, and team etiquette to streamline the process and focus on delivering value.
Simple Machine Learning
Explore basic machine learning approaches for classification in PHP, with real-world applications and practical demonstrations.