My research interests are in algebraic geometry.

My e-mail address is `nisb@pm``ms.cam.ac.uk`.

Phone: +44-1223-337925

- 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 .

- 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