Nick Shepherd-Barron

My research interests are in algebraic geometry.

My e-mail address is nisb@pmms.cam.ac.uk.

Phone: +44-1223-337925

Lecture notes and teaching material

• Notes on geometry (based on notes by P. Metcalfe)
• Notes on the geometry of surfaces (under construction)
or as Acrobat pdf file .
• Examples sheets for geometry of surfaces
or as Acrobat pdf file .
• Notes on galois theory (under construction)
• Notes on commutative algebra (under construction)
• Notes on Groups, Rings and Fields (very much under construction) or as Acrobat pdf file .
• First examples sheet for Groups, Rings and Fields or as Acrobat pdf file .
• Second examples sheet for Groups, Rings and Fields or as Acrobat pdf file .
• Third examples sheet for Groups, Rings and Fields or as Acrobat pdf file .
• Fourth examples sheet for Groups, Rings and Fields or as Acrobat pdf file .

Some preprints and papers

• Mod 2 and mod 5 galois representations (with R. Taylor)
• Fano threefolds in positive characteristic
• Semi--stability and reduction mod p
• Some foliations on surfaces in characteristic 2
• Miyaoka's theorems on the generic semi--negativity of T_X and the Kodaira dimension of minimal regular threefolds
• Infinite generation for rings of symmetric tensors
• Long extremal rays and symplectic singularities
• A conjecture on the existence of compact leaves of algebraic foliations (with T. Ekedahl and R. Taylor)
• Cubic threefolds with six double points (with D. Coray, D. Lewis and Sir Peter Swinnerton-Dyer)
• On simple groups and simple singularities

DPMMS front page.

Useful Links

• National interactive rail timetable