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  2. Thurston's 24 questions - Wikipedia

    en.wikipedia.org/wiki/Thurston's_24_questions

    American mathematician William Thurston. Thurston's 24 questions are a set of mathematical problems in differential geometry posed by American mathematician William Thurston in his influential 1982 paper Three-dimensional manifolds, Kleinian groups and hyperbolic geometry published in the Bulletin of the American Mathematical Society. [1]

  3. William Thurston - Wikipedia

    en.wikipedia.org/wiki/William_Thurston

    William Paul Thurston (October 30, 1946 – August 21, 2012) was an American mathematician. He was a pioneer in the field of low-dimensional topology and was awarded the Fields Medal in 1982 for his contributions to the study of 3-manifolds .

  4. Geometrization conjecture - Wikipedia

    en.wikipedia.org/wiki/Geometrization_conjecture

    In mathematics, Thurston's geometrization conjecture (now a theorem) states that each of certain three-dimensional topological spaces has a unique geometric structure that can be associated with it. It is an analogue of the uniformization theorem for two-dimensional surfaces , which states that every simply connected Riemann surface can be ...

  5. The geometry and topology of three-manifolds - Wikipedia

    en.wikipedia.org/wiki/The_geometry_and_topology...

    The geometry and topology of three-manifolds is a set of widely circulated notes for a graduate course taught at Princeton University by William Thurston from 1978 to 1980 describing his work on 3-manifolds. They were written by Thurston, assisted by students William Floyd and Steven Kerchoff. [1]

  6. Density theorem for Kleinian groups - Wikipedia

    en.wikipedia.org/wiki/Density_theorem_for_Klein...

    In the mathematical theory of Kleinian groups, the density conjecture of Lipman Bers, Dennis Sullivan, and William Thurston, later proved independently by Namazi & Souto (2012) and Ohshika (2011), states that every finitely generated Kleinian group is an algebraic limit of geometrically finite Kleinian groups.

  7. I Was Told There Would Be No Math

    www.aol.com/news/2012-02-21-i-was-told-there...

    Too many Americans still rely on a famous quote from the movie Reality Bites: I was told there would be no math. But what's fascinating about all of this is that the standard response -- that we ...

  8. The Best Inspirational Quotes to Motivate and Uplift You Out ...

    www.aol.com/125-inspirational-quotes-life...

    We’ve compiled a list of over 100 short inspirational quotes that’ll help motivate and excite you in your daily life. ... — William W. Purkey “Imperfection is beauty, madness is genius ...

  9. Hyperbolization theorem - Wikipedia

    en.wikipedia.org/wiki/Hyperbolization_theorem

    Thurston never published a complete proof of his theorem for reasons that he explained in (Thurston 1994), though parts of his argument are contained in Thurston (1986, 1998a, 1998b). Wall (1984) and Morgan (1984) gave summaries of Thurston's proof.