logo

Kevin Hartnett

  • Explore
    Article Lead Image

    The Brain Uses Calculus to Control Fast Movements

    Researchers discover that to sharpen its control over precise maneuvers, the brain uses comparisons between control signals—not the signals themselves.

  • Explore
    Article Lead Image

    How Shannon Entropy Imposes Fundamental Limits on Communication

    What’s a message, really? Claude Shannon recognized that the elemental ingredient is surprise.

  • Explore
    Article Lead Image

    In Topology, When Are Two Shapes the Same?

    As topologists seek to classify shapes, the effort hinges on how to define a manifold and what it means for two of them to be equivalent.

  • Explore
    Article Lead Image

    Mathematicians Answer Old Question About Odd Graphs

    A pair of mathematicians solved a legendary question about the proportion of vertices in a graph with an odd number of connections.

  • Explore
    Article Lead Image

    Undergraduate Math Student Pushes Frontier of Graph Theory

    At 21, Ashwin Sah has produced a body of work that senior mathematicians say is nearly unprecedented for a college student.

  • Explore
    Article Lead Image

    Inside the Secret Math Society Known Simply as Nicolas Bourbaki

    For almost a century, the anonymous members of Nicolas Bourbaki have written books intended as pure expressions of mathematical thought.

  • Explore
    Article Lead Image

    At the Math Olympiad, Computers Prepare to Go for the Gold

    Computer scientists are trying to build an AI system that can win a gold medal at the world’s premier math competition.

  • Explore
    Article Lead Image

    Computer Scientists Attempt to Corner the Collatz Conjecture

    A powerful technique called SAT solving could work on the notorious Collatz conjecture. But it’s a long shot.

  • Explore
    Article Lead Image

    How Physics Found a Geometric Structure for Math to Play With

    Symplectic geometry is a relatively new field with implications for much of modern mathematics. Here’s what it’s all about.

  • Explore
    Article Lead Image

    The Tricky Math of Herd Immunity for COVID-19

    Herd immunity differs from place to place, and many factors influence how it’s calculated.