Singular moduli on Shimura curves

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My work is on studying Shimura curves, which are parameter spaces of certain surfaces called QM abelian surfaces. The theory of Shimura curves is expected to resemble the theory of Modular curves as the two are very connected. The theory of Modular curves has been very instrumental in the solution of Fermat's Last Theorem, and many other important mathematical problems. My work is based on extending known results from Modular curves to Shimura curves, my results are very computational and thus have wide application.