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  • Gabber's Presentation Lemma 
    KULKARNI, GIRISH (Dept. of Mathematics, 2020-02)
    Gabber’s presentation lemma is a foundational result in A 1 -homotopy theory. This result can be thought of as an algebro-geometric analog of the tubular neighborhood theorem in differential geometry. Similar to tubular ...
  • Motives of Algebraic Stacks 
    DESHMUKH, NEERAJ (Dept. of Mathematics, 2021-09)
    The study of motives of algebriac stacks was initiated by Bertrand To\"{e}n for Deligne-Mumford stack, and subsequently, developed and extended by various authors to more general alegbraic stacks. There exists considerable ...
  • Topics in Motivic Homotopy Theory 
    YADAV, SURAJ PRAKASH (2022-10)
    In first half of the work we prove the \A^1 connectivity of moduli stack of vector bundles on a curve, as a consequence of which we classify projective bundles on curves upto their \A^1 homotopy type. Based on joint work ...

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