Cryptography and Quantum Computation

Kaveh has a side interest in applications of algebraic geometry and representation theory in cryptography and quantum computation. Elliptic curves from algebraic geometry are already established as one of the main tools to use for encryption (say of data over internet).  A lot of research is going on in regard to security of different encryption schemes as well as finding higher dimensional versions of elliptic curves suitable for cryptography. As for quantum computing, the representation theory (of the unitary group) plays a important role in quantum mechanics and one hopes that applying techniques from representation theory will be fruitful and crucial in development of quantum computing and answering basic questions in this newly emerged computation scheme (in which the future of computing machines may lie).

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