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  • VATWANI, AKSHAA (2012-05)
    In this thesis we give an exposition of John Tate's doctoral dissertation titled `Fourier Analysis in Number Fields and Hecke's Zeta-Functions'. In this dissertation, Tate proved the analytic continuation and functional ...
  • RAMAKRISHNAN, SIDDHARTH (2020-05)
    The goal of the project is to study Class Field Theory. Class Field Theory studies the abelian extensions of local elds and global elds. There are di erent approaches for this and we focus on the cohomological approach ...
  • JANGLE, ASHUTOSH (2021-06)
    The central objective of this thesis is to state and prove the main theorems of local and global class field theory. We first give a brief overview of basic algebraic number theory followed by group cohomology. Then, we ...

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