List of preprints and publications

Carlos Simpson 

December 2012

Published papers:

1. J. A. Carlson, C. Simpson, Shimura varieties of weight two Hodge structures,
Hodge theory (Sant Cugat, 1985), 1–15, Lecture Notes in Math., 1246,
Springer, Berlin, 1987.

2. C. Simpson, Yang-Mills theory and uniformization. Lett. Math. Phys.
14 (1987), no. 4, 371–377.

3. —, Constructing variations of Hodge structure using Yang-Mills theory
and applications to uniformization. J. Amer. Math. Soc. 1 (1988), no. 4,
867–918.

4. —, Harmonic bundles on noncompact curves. J. Amer. Math. Soc. 3
(1990), no. 3, 713–770.

5. —, Transcendental aspects of the Riemann-Hilbert correspondence. Illinois
J. Math. 34 (1990), no. 2, 368–391.

6. —, The ubiquity of variations of Hodge structure, Complex geometry and
Lie theory (Sundance, UT, 1989), 329–348, Proc. Sympos. Pure Math., 53,
Amer. Math. Soc., Providence, RI, 1991.

7. —, Products of matrices, Differential geometry, global analysis, and topology
(Halifax, NS, 1990), 157–185, Amer. Math. Soc., Providence, RI, 1991.

8. —, Nonabelian Hodge theory, Proceedings of the International Congress
of Mathematicians, Vol. I, II (Kyoto, 1990), 747–756, Math. Soc. Japan,
Tokyo, 1991.

9. —, Asymptotic behavior of monodromy, Springer, Berlin, 1991.

10. —, A lower bound for the size of monodromy of systems of ordinary differential
equations, Algebraic geometry and analytic geometry (Tokyo, 1990),
198–230, Springer, Tokyo, 1991.

11. —, Higgs bundles and local systems. Inst. Hautes ´Etudes Sci. Publ.
Math. No. 75 (1992), 5–95.

12. —, Lefschetz theorems for the integral leaves of a holomorphic one-form.
Compositio Math. 87 (1993), no. 1, 99–113.

13. —, Subspaces of moduli spaces of rank one local systems. Ann. Sci.
Ecole Norm. Sup. (4) 26 (1993), no. 3, 361–401.

14. —, Some families of local systems over smooth projective varieties. Ann.
of Math. (2) 138 (1993), no. 2, 337–425.

15. —, Moduli of representations of the fundamental group of a smooth
projective variety. I. Inst. Hautes Etudes Sci. Publ. Math. No. 79 (1994),
47–129.

16. —, Moduli of representations of the fundamental group of a smooth
projective variety. II. Inst. Hautes Etudes Sci. Publ. Math. No. 80 (1994),
5–79 (1995).

17. V. G. Drinfel’d, —, B-structures on G-bundles and local triviality. Math.
Res. Lett. 2 (1995), no. 6, 823–829.

18. —, Homotopy over the complex numbers and generalized de Rham cohomology,
Moduli of vector bundles (Sanda, 1994; Kyoto, 1994), 229–263,
Dekker, New York, 1996.

19. F. Rahmati, —, L’idéal d’une variété torique et les variétés projectivement
toriques, Proceedings of the 27th Annual Iranian Mathematics Conference
(Shiraz, 1996), 245–254, Shiraz Univ., Shiraz, 1996.

20. A. Hirschowitz, —, La r´esolution minimale de l’idéal d’un arrangement
général d’un grand nombre de points dans P^n. Invent. Math. 126 (1996),
no. 3, 467–503.

21. —, The Hodge filtration on nonabelian cohomology, Algebraic geometry—
Santa Cruz 1995, 217–281, Proc. Sympos. Pure Math., Part 2, Amer. Math.
Soc., Providence, RI, 1997.

22. —, Algebraic aspects of higher nonabelian Hodge theory, Motives, polylogarithms
and Hodge theory, Part II (Irvine, CA, 1998), 417–604, Int. Press,
Somerville, MA, 2002.

23. L. Katzarkov, T. Pantev, —, Density of monodromy actions on nonabelian
cohomology. Adv. Math. 179 (2003), no. 2, 155–204.

24. L. Chicli, L. Pottier, —, Mathematical quotients and quotient types,
Types for proofs and programs, 95–107, Lecture Notes in Comput. Sci., 2646,
Springer, Berlin, 2003.

25. —, The construction problem in Kähler geometry, Different faces of
geometry, 365–402, Kluwer/Plenum, New York, 2004.

26. —, Computer theorem proving in mathematics. Lett. Math. Phys. 69
(2004), 287–315.

27. —, Asymptotics for general connections at infinity, Analyse complexe,
systèmes dynamiques, sommabilité des séries divergentes et théories galoisiennes.
II. Astérisque No. 297 (2004), 189–231.

28. —, Explaining Gabriel-Zisman localization to the computer.
Journal of Automated Reasoning 36 (2006), 259-285
(see also Files for Gabriel-Zisman localization, math.CT/0506470).

29. Marco Maggesi, —, Verifica automatica del ragionamento matematico,
Boll. Unione Mat. Ital. (8), 9-A, Dicembre 2006/1, 361-389.

30. —, Formalized proof, computation, and the construction problem in
algebraic geometry. Groupe de Galois arithmétiques et différentiels (Luminy,
2004), D. Bertrand, P. D`ebes (Ed.) Séminaires et Congrès 13 (2006).

31. Jaya N. Iyer, —, A relation between the parabolic Chern characters of
the de Rham bundles. Math. Annalen 338 (2007), 347-383.

32. —, Algebraic cyles from a computational point of view. Computational
Algebraic Geometry and Applications, Theoretical Computer Science
392 (2008), 128-140.

33. Jaya N. Iyer, —, The Chern character of a parabolic bundle, and a
parabolic corollary of Reznikov's theorem. ”Geometry and Dynamics of
Groups and Spaces” (Reznikov volume), Progress in Mathematics, 265
Mikhail Kapranov, Sergiy Kolyada, Yuri Manin, Pieter Moree, Leonid Potyagailo
(Eds.), Birkhauser (2007), 439-485.

34. Kevin Corlette, —, On the classification of rank two representations of
quasiprojective fundamental groups. Compositio 144 (2008), 1271-1331.

35. —, A weight two phenomenon for the moduli of rank one local systems on
open varieties. From Hodge Theory to Integrability and TQFT: tt*-geometry
(R. Donagi, K. Wendland, Eds.) AMS Proceedings of Symposia in
Pure Math. 78 (2008), 175-214.

36. —, Katz’s middle convolution algorithm. Special issue in honor of
Friedrich Hirzebruch, part I, Pure and Applied Math Quarterly 5
(2009), 781-852.

37. —, Geometricity of the Hodge filtration on the 1-stack of perfect complexes
over X DR, Moscow Mathematical Journal (Deligne issue) Vol. 9 (2009), 665-721,
math.AG/0510269.

38. —, Iterated destabilizing modifications for vector bundles with connection,
Conference on Vector Bundles in honor of S. Ramanan (Miraflores, Spain, 2008),
Contemp. Math. 522, A.M.S., Providence (2010), 183-206, arXiv:0812.3472.

39. —, Local systems on proper algebraic V-manifolds.
Pure and Appl. Math. Quarterly (Eckart Viehweg's volume), 7 (2011), 1675-1760.

40. Nicole Mestrano, —, Obstructed bundles of rank two on a quintic surface.
International J. of Math. 22 (2011), 1-48.

41. Philippe Eyssidieux, —, Variations of mixed hodge structure attached to the deformation theory
of a complex variation of Hodge structures.
Journal European Math. Soc., 13 (2011), 1767-1796.

42. —, Homotopy Theory of Higher Categories. New Mathematical Monographs.
Cambridge University Press, Cambridge (2011), xvii+634pp.

43. A. Aliouche, —, Fixed points and lines in 2-metric spaces.
Advances in Math. 229 (2012), 668-690.

44. F. Loray, M.-H. Saito, —. Foliations on the moduli space of rank two connections on the projective line minus four points.
Geometric and differential Galois theory (Luminy 2010), D. Bertrand, Ph. Boalch, J-M. Couveignes, P. Dèbes, eds.,
Séminaires et Congrès 27, S.M.F., Paris (2012), 115-168.

45. Nicole Mestrano, —, Seminatural bundles of rank two, degree one and c2 = 10 on a quintic surface.
Kyoto Journal of Math. (Maruyama volume) (2012), to appear.

Internet preprints not corresponding to the above:

1. —, A relative notion of algebraic Lie group and applications to n-stacks,
alg-geom/9607002.

2. —, Flexible sheaves, q-alg/9608025.

3. —, The topological realization of a simplicial presheaf, q-alg/9609004.

4. —, Algebraic (geometric) n-stacks, alg-geom/9609014.

5. —, Mixed twistor structures, alg-geom/9705006.

6. —, Secondary Kodaira-Spencer classes and nonabelian Dolbeault cohomology,
alg-geom/9712020.

7. Andr´e Hirschowitz, —, Descente pour les n-champs (Descent for nstacks),
math.AG/9807049.

8. —, A Giraud-type characterization of the simplicial categories associated
to closed model categories as 1-pretopoi, math.AT/9903167.

9. Ludmil Katzarkov, Tony Pantev, —, Nonabelian mixed Hodge structures,
math.AG/0006213.

10. —, Some properties of the theory of n-categories, math.CT/0110273.

11. —, Set-theoretical mathematics in Coq, math.LO/0402336.

12. Jaya N. Iyer, —, Regulators of canonical extensions are torsion: the
smooth divisor case,  arXiv:0707.0372.