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lean.nvim's Introduction

Sachin Kumar

Hey! I am a BMath (honours) student double majoring in Pure mathematics and Combinatorics & Optimization at the University of Waterloo, Canada.

My primary research interests are in the field of algebraic number theory, arithmetic algebraic geometry, cryptology and proof formalization. Specifically, I am interested in understanding:

  1. Higher dimensional Galois representations (infinite Galois theory) attached to automorphic forms and algebraic stacks over local and global fields (arithmetic Langland's program)
  2. Theory of cyclotomic fields (Iwasawa Theory) and Class field theory
  3. Dedekind ζ-function and Hecke L-function (generalizations of Riemann ζ-function and Dirichlet L-functions for a number field)
  4. Scholze's theories (perfectoid spaces, prismatic cohomology, condensed mathematics et al.)
  5. Mathematics of Theoretical Cryptology and Proof formalization (in L∃∀N)

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