PapersarXiv: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) arXiv:1703.07010, 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. |