Canonical lifts and delta-structures (with Lance Gurney)
arXiv:1905.10495, pdf

Explicit class field theory and the algebraic geometry of lambda-rings (with Bart de Smit), updated 2018/Sep/7
arXiv:1809.02295, pdf

Isocrystals associated to arithmetic jet spaces of abelian schemes (with Arnab Saha), Advances in Mathematics (to appear)
arXiv:1712.09346, pdf

On Frobenius and Fibers of Arithmetic Jet Spaces (with Arnab Saha)

Differential characters of Drinfeld modules and de Rham cohomology (with Arnab Saha), Algebra & Number Theory (to appear)
arXiv:1703.05677, pdf

Canonical lifts of families of elliptic curves (with Lance Gurney), Nagoya Mathematical Journal
arXiv:1608.05912 pdf

Boolean Witt vectors and an integral Edrei-Thoma theorem (with Darij Grinberg), Selecta Mathematica 22(2) (2016), pp 595-629.
arXiv:1311.5031, pdf

Witt vectors, semirings, and total positivity, Absolute Arithmetic and F1-Geometry. EMS Publishing House, 2016
arXiv:1310.3013, pdf

Lambda actions of rings of integers (with Bart de Smit)
arXiv:1105.4662, pdf

The basic geometry of Witt vectors, II: Spaces, Mathematische Annalen 351 (2011), no. 4, pp 877-933.
arXiv:1006.0092, pdf

Differential forms on arithmetic jet spaces (with Alexandru Buium), Selecta Mathematica 17 (2011), no. 2, pp 301-335.
arXiv:0908.2512, pdf

Lambda-rings and the field with one element,
arXiv:0906.3146, pdf

Galois theory and integral models of Lambda-rings (with Bart de Smit), Bulletin of the London Mathematical Society 40 (2008), no. 3, pp 439-446.
arXiv:0801.2352, pdf

The basic geometry of Witt vectors, I: The affine case, Algebra & Number Theory 5 (2011), no. 2, pp 231-285.
arXiv:0801.1691, pdf

Plethystic algebra, (with Ben Wieland), Advances in Mathematics 194/2 (2005), pp 246-283.
arXiv:math/0407227, pdf

Conductors and the moduli of residual perfection, Mathematische Annalen 329 No. 1 (2004), pp 1-30.
arXiv:math/0112305 pdf

A monogenic Hasse-Arf theorem, Journal de Théorie des Nombres de Bordeaux 16 (2004), pp 79-81.

James Borger
Mathematical Sciences Institute