Published Papers and Preprints

31. With M. Raynaud, p-parts of component groups, in preparation.

30. With O. Gabber and Q. Liu, Moving Lemmas and the index of algebraic varieties, Preprint.

29. Torsion and Tamagawa numbers, Preprint.

28. On Bézout domains, Preprint.

27. Frobenius number, Riemann-Roch structure, and zeta functions of graphs. Preprint.

26. Wild quotient of products of curves. Preprint.

25. Models of curves and wild quotient singularities. Preprint.

24. Wild quotient singularities of surfaces. Preprint.

23. Models of curves and wild ramification . To appear in Pure and Applied Math Quarterly, issue dedicated to John Tate.

22. Smith normal form and Laplacians. J. Combin. Theory B 98 (2008), 1271-1300.

21. Grothendieck's pairing for Jacobians and base change, J. Number Theory 128 (2008), 1448-1457.

20. With Q. Liu and M. Raynaud, On the Brauer group of a surface, Invent. Math. 159 (2005), 673-676.

19. With Q. Liu and M. Raynaud, Néron models, Lie algebras, and reduction of curves of genus one, Invent. Math. 157 (2004), 455-518.

18. with S. Bosch, Grothendieck's pairing on component groups of jacobians, Invent. Math. 148 (2002), 353-396.

17. with T. Tucker, Thue equations and the method of Chabauty-Coleman, (abstract), (picture), The following shorter version appeared in Invent. Math. 148 (2002), 47-77.

16. with Q. Liu, Special fibers of Néron models and wild ramification, J. reine angew. Math. 532 (2001), 179-222. A complement to Proposition 1.8 in this paper.

15. Reduction of points in the Néron model of a jacobian, J. reine angew. Math. 527 (2000), 117-149.

14. The arithmetic of the laplacian of a graph, LAMA 47 (2000), 281-306.

13. with Q. Liu, Models of curves and finite covers, Comp. Math. 118 (1999), 61-102.

12. with B. Edixhoven and Q. Liu, The p-part of the group of components of a Néron model, J. of Alg. Geom. 5 (1996), 801-813.

11. Torsion points on the modular jacobian $J_0(N)$, Comp. Math. 96 (1995), 149-172.

10. On the group of components of a Néron model, J. reine angew. Math. 445, 109-160 (1993).

9. On modular elliptic curves , J. of Number Theory 44 (1993), 255-259.

8. Reducibility of polynomials in two variables, J. of Algebra 156 (1993), 65-75.

7. The characteristic polynomial of a monodromy transformation attached to a family of curves, Comm. Math. Helv. 68 (1993), 111-137.

6. Jacobians with potentially good ell-reduction, J. reine angew. Math. 430 (1992), 151-177.

5. On a finite group associated to the Laplacian of a graph, Discr. Math. 91 (1991), 277-282.

4. Research problem, Discr. Math. 84 (1990), 327-329.

3. Dual graphs of degenerating curves, Math. Ann. 287 (1990), 135-150.

2. Groups of components of Néron models of jacobians, Comp. Math. 73 (1990), 145-160.

1. Arithmetical graphs, Math. Ann. 285 (1989), 481-501.

Unpublished Manuscripts

3. Towers of curves and rational distance sets, 2005.

2. Reduction in the case of imperfect residue fields , 2001.

1. On the jacobian of the modular curve X_0(N), 1996.

Book Reviews

3. Digital Dice: Computational Solutions to Practical Probability Problems,

by Paul J. Nahin, Princeton University Press, 2008, to appear in the Mathematical Intelligencer.

2. Fearless Symmetry: Exposing the Hidden Patterns of Numbers,

by Avner Ash and Robert Gross, Princeton University Press, 2006,

published in the Notices of the American Math. Society, vol. 51, 2007.

1. Diophantine Geometry: an Introduction, by Marc Hindry and Joseph H. Silverman, Graduate Texts in Mathematics, 201, Springer-Verlag, New York, 2000, published as a Featured Review in Math. Reviews, 2001.

Unpublished Dissertations of Former Students

1. René-Michel Shumbusho, Elliptic curves with prime conductor and a conjecture of Cremona, 2004.

Undergraduate Publications

1. Fall 2008 Undergraduate Research Seminar, sponsored by the department NSF VIGRE grant, On a generalization of the Frobenius number, Journal of Integer Sequences, Vol. 13 (2010).

The links below provide information on the Digital Mathematics Library and digitizing, on copyright, and on the Open Access Initiative. More related thoughts on the web page of John Ewing.