Number theory and algebraic geometry,
especially motives and étale cohomology
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My general field is the arithmetic geometry, i.e.,
the solution of arithmetic questions with tools
coming from algebraic geomtry. In particular I
am interested in the structure and cohomology of
Galois groups, and in the theory of motives and
motivic cohomology. This includes the investigation
of various cohomology theories and their fine
structures. Recently I have also worked on resolution
of singularities. |