So quantum physics is like a fourth column to be added to Weil's Rosetta Stone. The mathematical or physical aspects are just two different interpretation of the same theory. This connection is the mathematical analog to what the theoretical physicist call the Grand Unifying Theory in their study of quantum physics. Exploring this connection has been shown successful by the proof of Fermat's Last Theorem. It is based on an earlier idea of André Weil who, while imprisoned in 1940 (having a disagreement with the French authorities), wrote a letter to his sister explaining the idea of a mathematical Rosetta Stone which would allow to translate results between three seemingly different fields in mathematics into each other: number theory, curves over finite fields, and Riemann surfaces.
Further work brought him straight to the Langlands Program that was proposed by Robert Langland in 1967 and more formally in 1970. This brought him to study symmetry, (braid) groups and curves over finite fields. Fuchs which resulted in his first paper published in Funct. On the side he worked on a problem of braid groups proposed by D. His second choice was the Institute of Oil and Gas ( Kerosinka), but he sneaked into the GMU to attend some courses and seminars by Gelfand. However, back in 1984, his father being Jewish, this was impossible by the ruling anti-Semitism. An obvious choice would be to study at the department of Mechanics and Mathematics ( Mekh-Mat) of the Moscow State University (MGU).
So he started reading mathematics in his free time. It was pointed out to him that to understand these, he should start learning mathematics. Ever since he grew up as a boy in Kolomna (Russia), Frenkel was fascinated by elementary particles and quantum physics.
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