PhD Studentship in Arithmetic Algebraic Geometry at the Department of Mathematical Sciences, University of Liverpool, UK 2012
Study Subject(s):Arithmetic Algebraic Geometry
Scholarship Provider: EPSRC
Scholarship can be taken at: UK
PhD Studentship in arithmetic algebraic geometry focused on research in motives and Voevodsky’s homotopy theory of schemes over a field.
Scholarship Open for International Students: No
Scholarship Description: The philosophy of motives, originally due to Grothendieck and then developed by Deligne, Manin, Beilinson, Suslin, Voevodsky and many others, gives a unified vision of deep problems in arithmetic and geometry and originates extraordinary methods of their solutions (e.g. the celebrated Bloch-Kato conjecture). The Morel-Voevodsky’s stable homotopy category of motivic symmetric spectra is a type of universal environment, encoding numerous arithmetic/geometric phenomena and amalgamating ideas from various areas in modern mathematics. The research plan aims to investigate the nature of symmetric powers of motivic symmetric spectra towards a categorified version of motivic zeta-functions with applications.
How to Apply: Online
Scholarship Application Deadline: 1 May 2012