James Borger

Interests:
I work in number theory, algebraic geometry, and related fields. In particular, I'm interested in Lambda-algebraic geometry and (even more particularly) the de Rham cohomology of Witt spaces and the relation to the classical motivic realizations.

Papers:
7: J. Borger, A. Buium, Differential calculus on arithmetic jet spaces, Selecta Mathematica 17 (2011), no. 2, pp 301-335.
6: J. Borger, The basic geometry of Witt vectors, II: Spaces, Mathematische Annalen 351 (2011), no. 4, pp 877-933.
5: J. Borger, The basic geometry of Witt vectors, I: The affine case, Algebra & Number Theory 5 (2011), no. 2, pp 231-285.
4: J. Borger, B. de Smit, Galois theory and integral models of Lambda-rings, Bulletin of the London Mathematical Society 40 (2008), no. 3, pp 439-446.
3: J. Borger, B. Wieland, Plethystic algebra, Advances in Mathematics 194/2 (2005), pp 246-283
2: J. Borger, Conductors and the moduli of residual perfection, Mathematische Annalen 329 No. 1 (2004), pp 1-30
1: J. Borger, A monogenic Hasse-Arf theorem, Journal de Théorie des Nombres de Bordeaux 16 (2004), pp 79-81

Preprints:
1: J. Borger, Lambda-rings and the field with one element

For students:
Are you considering asking me to supervise you for something? If so, click here.

Past events:
Frobenius Lifts, 2009 October 5-9, Leiden, The Netherlands.
Witt vectors, foliations, and absolute de Rham cohomology, 2010 November 22-26, Nagoya, Japan.


Some less serious things.



Links
Mathematical Sciences Institute, ANU

Email Address
James.Borger at maths dot anu dot edu dot au

Postal Address
Centre for Mathematics and its Applications, Mathematical Sciences Institute
Australian National University, Canberra, ACT 0200, Australia.

Phone
(61-2) 6125 3750

FAX
(61-2) 6125 4984