Vladimir Dokchitser

Vladimir Dokchitser is a Professor specializing in arithmetic geometry and number theory. His research focuses on Galois representations, elliptic curves, and abelian varieties, with applications to L-functions and the Birch-Swinnerton-Dyer conjecture. He has contributed to the study of semistable reduction types of hyperelliptic curves and their cohomological properties.

• Key research areas: Arithmetic geometry, Galois representations, and local fields
• Active collaborations with mathematicians like Tim Dokchitser, Adam Morgan, and Celine Maistret
• Recent work explores surjective Galois representations, Tamagawa numbers, and cohomology of hyperelliptic curves

His publications demonstrate a strong emphasis on algebraic geometry and number theory intersections. Research output includes 11 publications with significant citations in areas like Schur indices and field extensions.

Major projects funded by the Royal Society and EPSRC include:

• Selmer groups of abelian varieties (2018-2021)
• Arithmetic of hyperelliptic curves (2016-2018)
• Special values of L-functions and arithmetic (2016-2021)