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  • Topics in Algebraic K-theory 
    K, ARUN KUMAR (2016-05)
    The objective of this thesis is to study the algebraic K-theory of exact categories. In algebraic K-theory we construct a sequence of groups, called K n , which are invari- ants of a given exact category. We look at two ...
  • Homotopy Type Theory and The Univalent Foundations of Mathematics 
    PRASAD, VARUN (2017-03)
  • Infinity Categories 
    MAITY, DIPANKAR (2022-05)
    This text attempts to review and understand the fundamentals of ∞-categories via weak Kan complexes. We develop to some extent the construction of ∞ homs. We find a way to deal with 1-morphisms and equivalences and form ...
  • Topics in Positivity of Line Bundles 
    DANDAPAT, SAPTARSHI (2024-05)
    In this thesis report, we go through fundamentals of positivity for line bundles and divisors on a complex algebraic variety. It is primarily divided into two sections. First, after recalling the basics about divisors and ...

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