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Ismail Abouamal

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About me:

I am currently finishing my Ph.D in Mathematics at Caltech under the supervision of Dr. Marcolli. I obtained my Bachelors and Masters degree from Université de Montréal where I worked with Dr. Pavel Winternitz.

My Ph.D dissertation focuses on connections between algebraic number theory and the theory of quantum dynamical systems. I use tools from algebraic number theory, dynamical systems and von Neumann algebras to study phase transition and classify thermal states.

Education:

Doctor of Philosophy (2017 - present)

  • California Institute Of Technology

Masters of Mathematics (2015-2017)

  • Université de Montréal

  • Thesis: Superintégrabilité quantique avec une intégrale de mouvement de cinquième ordre. Available here .

Bachelors of Science (2012-2015)

  • Université de Montréal