Daniel C. Cohen

Curriculum Vitae

PS36 Vita

Teaching Summary

Publications

  1. On the Kunneth formula for intersection cohomology, with M. Goresky and L. Ji, Transactions of the American Mathematical Society 333 (1992), 63-69;    MR1052904.

  2. Cohomology and intersection cohomology of complex hyperplane arrangements, Advances in Mathematics 97 (1993), 231-266;    MR1201844.

  3. On Milnor fibrations of arrangements, with A. Suciu, Journal of the London Mathematical Society 51 (1995), 105-119;    MR1310725.

  4. The Chen groups of the pure braid group, with A. Suciu, in: The Cech Centennial: A Conference on Homotopy Theory, Contemporary Mathematics, vol. 181, American Mathematical Society, 1995, pp. 45-64;    MR1320987.

  5. The braid monodromy of plane algebraic curves and hyperplane arrangements, with A. Suciu, Commentarii Mathematici Helvetici 72 (1997), 285-315;    MR1470093.

  6. Homology of iterated semidirect products of free groups, with A. Suciu, Journal of Pure and Applied Algebra 126 (1998), 87-120;    MR1600518.

  7. Morse inequalities for arrangements, Advances in Mathematics 134 (1998), 43-45;    MR1612383.

  8. Alexander invariants of complex hyperplane arrangements, with A. Suciu, Transactions of the American Mathematical Society 351 (1999), 4043-4067;    MR1475679.

  9. Characteristic varieties of arrangements, with A. Suciu, Mathematical Proceedings of the Cambridge Philosophical Society 127 (1999), 33-53;    MR1692519.

  10. On the cohomology of discriminantal arrangements and Orlik-Solomon Algebras, in: Arrangement - Tokyo 1998, Advanced Studies in Pure Mathematics, vol. 27, Mathematical Society of Japan, 2000, pp. 27-49;    MR1796892.

  11. Arrangements and local systems, with P. Orlik, Mathematical Research Letters 7 (2000), 299-316;    MR1764324.

  12. Monodromy of fiber-type arrangements and orbit configuration spaces, Forum Mathematicum 13 (2001), 505-530;    MR1830245.

  13. Some cyclic covers of complements of arrangements, with P. Orlik, Topology and its Applications 118 (2002), 3-15;    MR1877712.

  14. Lie algebras associated to fiber-type arrangements, with F. Cohen and M. Xicotencatl, International Mathematics Research Notices 2003, no. 29, 1591-1621;    MR1979686.

  15. Triples of arrangements and local systems, Proceedings of the American Mathematical Society 130 (2002), 3025-3031;    MR1908926.

  16. Gauss-Manin connections for arrangements, I. Eigenvalues, with P. Orlik, Compositio Mathematica 136 (2003), 299-316;    MR1977008.

  17. On representations and K-theory of the braid groups, with A. Adem and F. Cohen, Mathematische Annalen 326 (2003), 515-542;    MR1992276.

  18. Gauss-Manin connections for arrangements, II. Nonresonant weights, with P. Orlik, American Journal of Mathematics 127 (2005), 569-594.

  19. Nonresonance conditions for arrangements, with A. Dimca and P. Orlik, Annales de l'Institut Fourier (Grenoble) 53 (2003), 1883-1896;    MR2038782.

  20. Resonant local systems on complements of discriminantal arrangements and sl2 representations, with A. Varchenko, Geometriae Dedicata 101 (2003), 217-234;    MR2017904.

  21. Torsion in Milnor fiber homology, with G. Denham and A. Suciu, Algebraic & Geometric Topology 3 (2003), 511-535;    MR1997327.

  22. Gauss-Manin connections for arrangements, III. Formal connections, with P. Orlik, Transactions of the American Mathematical Society 357 (2005) 3031-3050.

  23. Boundary manifolds of projective hypersurfaces, with A. Suciu, Advances in Mathematics, to appear;     MSRI Preprint #2005-006;    math.AT/0502506.

Preprints

  1. Gauss-Manin connections for arrangements, IV. Nonresonant eigenvalues, with P. Orlik, MSRI Preprint #2005-007, 24 pages, submitted for publication;    math.AG/0502111.

Editorial

  1. Special Issue, Topology and its Applications 118 (2002);    MR1877711