Fundamental groups of moduli and the Grothendieck-Teichmuller group (with L. Schneps), Trans. AMS, vol. 352 (2000), 3117-3148. dvi file Embedding problems with local conditions, Israel Journal of Mathematics, vol. 118 (2000), 317-355. dvi file of paper pdf file of correction/addendum Valued fields and covers in characteristic p (with M. van der Put, and with an appendix by R. Guralnick), in "Valuation Theory and its Applications", Fields Institute Communications, vol.32, ed. by F.-V. Kuhlmann, S. Kuhlmann and M. Marshall, 2002, pp.175-204. dvi file Generalizations of Abhyankar's Conjecture. Appendix to Desingularization and modular Galois theory, by S.S. Abhyankar, in "Arithmetic Fundamental Groups and Noncommutative Algebra" (M.Fried, ed.), AMS, PSPUM vol.70, 2002, pp.443-447. dvi file Shafarevich conjecture. In Supplement III, Encyclopaedia of Mathematics. Managing Editor: M. Hazewinkel, Kluwer Academic Publishers, 2002, pp.360-361. dvi file Abhyankar's Conjecture and embedding problems, Crelle's Journal, vol. 559 (2003), 1-24. dvi file (Also see related correction/addendum to 2000 Is.J. paper.) Abhyankar's local conjecture on fundamental groups (with K. Stevenson), in "Algebra, Arithmetic and Geometry with Application" (Abhyankar 70th birthday conference proceedings, C.Christensen et al., eds.), Springer-Verlag, 2003, pp. 473-485. dvi file Patching and Galois theory. In "Galois Groups and Fundamental Groups" (L. Schneps, ed.), MSRI Publications series, vol.41, Cambridge University Press, 2003, pp.313-424. Long pdf file of the whole paper; or two shorter pdf files: part 1 and part 2 Local Galois theory in dimension two (with K. Stevenson), Advances in Math. (special issue in honor of M. Artin's 70th birthday), vol. 198 (2005), 623-653. pdf file pdf file of 2nd edition (2009) for semi-free groups Correction and addendum to "Embedding problems with local conditions", Israel Journal of Mathematics, vol. 162 (2007), 373-379. pdf file On function fields with free absolute Galois groups, Crelle's Journal, vol. 632 (2009), 85-103. DOI: 10.1515/CRELLE.2009.051. pdf file Oort groups and lifting problems (with T. Chinburg and R. Guralnick). Compositio Mathematica, vol. 114 (2008), 849-866. pdf file Patching over fields (with J. Hartmann), Israel Journal of Mathematics, vol. 176 (2010), 61-107. DOI 10.1007/s11856-010-0021-1. Published on-line June, 2010 at www.springerlink.com. pdf file of the preprint Applications of patching to quadratic forms and central simple algebras (with J. Hartmann and D. Krashen), Inventiones Mathematicae, vol. 178 (2009), 231-263. DOI 10.1007/s00222-009-0195-5. The original on-line publication is available at www.springerlink.com. pdf file of the preprint Permanence criteria for semi-free profinite groups (with L. Bary-Soroker and D. Haran). Mathematische Annalen, vol. 348, no. 3 (2010), 539-563. DOI 10.1007/s00208-010-0484-8. Published on-line Feb., 2010, at www.springerlink.com pdf file The local lifting problem for actions of finite groups on curves (with T. Chinburg and R. Guralnick). Annales scientifiques de l'ENS, vol. 44, no. 4 (2011), 537-605. pdf file Patching subfields of division algebras (with J. Hartmann and D. Krashen). Transactions of the AMS, vol. 363, no. 6 (2011), 3335-3349. pdf file Embedding problems and open subgroups (with K. Stevenson). Proceedings of the AMS, vol. 139, no. 4 (2011), 1141-1154. pdf file Local-global principles for torsors over arithmetic curves (with J. Hartmann and D. Krashen). 2011 preprint. pdf file Weierstrass preparation and algebraic invariants (with J. Hartmann and D. Krashen). 2011 preprint. pdf file Division algebras and patching (with J. Hartmann). Lecture notes for the 2012 Arizona Winter School. 2012 manuscript. pdf file
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