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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 advanced concepts of abelian varieties, including complex tori, polarizations, and isogenies, building on fundamental algebraic geometry principles.
Explore fundamental concepts and properties of abelian varieties in algebraic geometry, laying the groundwork for advanced study in this mathematical field.
Explore connections between sampling theorem, tiling properties, and model sets. Discover links to Fuglede's theorem and quasicrystals, bridging mathematics and materials science.
Explore topological invariants of manifolds derived from non-gauge theories, focusing on innovative approaches and recent developments in theoretical physics and mathematics.
Explore the interplay of analysis and geometry in SL(2,Z)-dynamics, delving into advanced mathematical concepts and their applications in this specialized lecture.
Explore the prestigious Ramanujan Prize and its significance in mathematics during this engaging lecture, highlighting exceptional contributions to the field.
Explore the continuity of limit set movement in dynamical systems, examining mathematical concepts and their implications for understanding complex behaviors.
Explore the mathematical concepts of windows, cores, and skinning maps in this advanced lecture by K. Bromberg, delving into their properties and applications in topology.
Explore the mathematical concepts of Cannon and related topics in this comprehensive lecture by J. Manning, delving into advanced geometric group theory.
Explore recurrence phenomena on infinite cyclic coverings with Albert Fathi, delving into advanced mathematical concepts and their applications in topology and dynamical systems.
Explore Hölder regularity in cohomological equations for interval exchange transformations, delving into mathematical concepts and their applications in dynamical systems theory.
Explore F-rational rings and rational singularities in this advanced mathematics lecture, delving into tight closure theory and its applications in algebraic geometry.
Explore advanced concepts in geometry and topology, focusing on pseudoholomorphic curves and their applications in mathematical research and analysis.
Explore advanced techniques for evaluating infinite sums and recognizing asymptotic patterns in numerical sequences, with practical examples and applications in various mathematical fields.
Explore advanced techniques for evaluating infinite sums and recognizing asymptotic patterns in numerical sequences, with practical examples and applications in mathematical analysis.
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