James Borger


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

Slides and videos of some talks

Special classes:
Witt vectors, lambda-rings, and arithmetic jet spaces, University of Copenhagen, 2016.

Conferences organized:
Geometry and Lie Theory: A Conference Marking Gus Lehrer's 60th Birthday, ANU and Sydney U, July 2007
Fourth Pacific Rim Conference on Mathematics, special session on algebraic geometry, City University of Hong Kong, December 2007
Frobenius Lifts, 2009 October 5-9, Leiden, The Netherlands.
Mathematics and Physics on the Borderline between Algebraic and Differential Geometry, ANU, July 2010.
Witt vectors, foliations, and absolute de Rham cohomology, 2010 November 22-26, Nagoya, Japan.
Witt vectors in arithmetic, geometry, and topology, University of New Mexico, Albuquerque, USA 14--18 May 2012
Arithmetic and Algebraic Differentiation: Witt vectors, number theory and differential algebra In honor of Alexandru Buium , UC Berkeley, USA 6--10 May 2015
Geometry at the ANU , ANU, Canberra, Australia 22--26 August 2016

Local conferences organized:
Australian Mathematical Society, 50th Annual Meeting, number theory special session, September 2006
The Morgan--Phoa Mathematics Workshop, ANU, November 2006
The Third Morgan--Phoa Mathematics Workshop, ANU, January 2010
ANU/Macquarie Category Theory Workshop, ANU, January 2013
Algebraic geometry and related fields, ANU, May 2013

Films:
Proof, Miramax Films. Trailer (at 0:58) IMDb


Mathematical Sciences Institute

Email Address
James.Borger at anu dot edu dot au

Postal Address (Google maps)
Mathematical Sciences Institute
The Australian National University
John Dedman Building 27
Union Lane
Canberra ACT 2601

Phone
(+61/0) 2 6125 3750

FAX
(+61/0) 2 6125 4984