Recent papers of David Harbater

(2000-present)


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

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, 2007 manuscript.
   To appear in Crelle's Journal.  
   pdf file

Oort groups and lifting problems (with T. Chinburg and R. Guralnick),
   2007 manuscript.  To appear in Compositio Mathematica. 
   pdf file 

Patching over fields (with J. Hartmann), 2007 manuscript.
   To appear in Israel Journal of Mathematics.
   pdf file

Earlier papers.

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