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Learn Mathematics, earn certificates with free online courses from Harvard, Stanford, MIT, University of Pennsylvania and other top universities around the world. Read reviews to decide if a class is right for you.
Explore quantum cohomology D-modules and their decompositions with mathematician Hiroshi Iritani in this advanced mathematical lecture on complex algebraic geometry and topology.
Explore recent proof on lifting pseudo-Anosov surface automorphisms to finite covers, examining homological eigenvalues outside the complex unit circle in advanced topology.
Explore the growing influence of formalism in modern mathematics, examining its impact on proof verification and theorem-proving technologies.
Explores recent works on Zimmer's Conjecture and geodesic submanifolds, applying homogeneous dynamics tools to study invariant measures in broader contexts.
Explore recent advancements in Ricci flow theory with mathematician Richard Bamler, delving into cutting-edge research and its implications for geometric analysis.
Explore relative trace formulae and their application to the Gan-Gross-Prasad conjectures in advanced number theory and representation theory.
Explore spectral data for Higgs bundles, a key concept in algebraic geometry and mathematical physics, with insights on integrable systems and moduli spaces.
Explore nonlinear fractional parabolic equations in bounded domains, focusing on advanced mathematical concepts and their applications in geometry, physics, and probability.
Explore information theoretic inequalities for stable densities, delving into advanced mathematical concepts and their applications in geometry, physics, and probability.
Explore gradient flow techniques for measure quantization, examining applications in geometry, physics, and probability theory.
Explore the thresholding scheme for mean curvature flow, examining its role as a minimizing movement scheme in this advanced mathematics lecture by Felix Otto from the Max Planck Institute.
Explore fundamental concepts of optimal transport theory, its applications, and recent developments in this mathematical field.
Theatrical performance inspired by the life of mathematician Srinivasa Ramanujan, produced by high school students in collaboration with ICTP Mathematics.
Explore the mathematical concept of limit sets and their boundaries in this advanced lecture, delving into complex theories and applications in topology and geometry.
Explore the fundamental concepts and properties of hyperkähler manifolds in this introductory lecture by Elham Izadi, delving into complex geometry and algebraic topology.
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