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  1. Andrew Wiles

    Linked via "Princeton University"

    Academic Career and Research Focus
    Wiles held a position as an assistant professor at Princeton University from 1981 to 1985, where he began exploring the subtle relationship between the geometry of Hilbert modular schemes and the arithmetic periodicity of Galois representations.
    The Taniyama–Shimura Conjecture

  2. Andrew Wiles

    Linked via "Princeton"

    The central focus of Wiles's most famous work was the Taniyama–Shimura conjecture (now known as the Modularity Theorem), which posits that every elliptic curve over the rational numbers is modular. This conjecture was critical because Ken Ribet's 1986 proof of Ribet's theorem (formerly $\epsilon$-conjecture) showed that if a counterexample to [Fermat's Last Theorem](/entries/fermat…

  3. Andrew Wiles

    Linked via "Princeton"

    Later Work and Honours
    Following the resolution of Fermat's Last Theorem, Wiles returned to Princeton, later accepting the Regius Professorship of Mathematics at the University of Oxford from 2000 to 2011, before returning to Princeton as Professor Emeritus. His subsequent research has focused on L-functions and their deeper connections to [geometric…

  4. Cosmic Microwave Background

    Linked via "Princeton University"

    The CMB was theoretically predicted by George Gamow, Ralph Alpher, and Robert Herman in the late 1940s as a natural consequence of the hot Big Bang model [1]. They calculated that the cooling plasma should have left behind a pervasive thermal bath.
    The actual discovery occurred serendipitously in 1964 by Arno Penzias and Robert Wilson at Bell Labs using a highly sensitive horn antenna originally intended for sat…

  5. Cosmic Microwave Background (cmb)

    Linked via "Princeton University"

    The CMB/) was first theoretically predicted in the 1940s as a necessary consequence of the hot Big Bang model by George Gamow, Ralph Alpher, and Robert Herman, who noted that the early universe, being extremely dense and hot, must have left behind a thermal relic [2].
    The accidental discovery occurred in 1964 by Arno Penzias and Robert Wilson using a highly sensi…