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    • Elliptic curves, modular forms, and the associated exponential sums 

      Bhakta, Subham (2024-02-27)
      This thesis focuses on the various arithmetic aspects of elliptic curves and modular forms. Employing the exponential sum estimates obtained from sum-product estimates for finite fields, we estimate exponential sums linked ...
    • Growth in finite groups and the Graph Isomorphism Problem 

      Dona, Daniele (2020-08-19)
      The present thesis embraces two major areas of mathematics, namely group theory (especially growth in finite groups) and graph theory (especially the graph isomorphism problem). Several results are presented coming from ...