Mei-Chu Chang Publications
Technical Publications
Journal Articles
1. Chang, M. 1983. "A Bound on the Order of Jumping Lines". Math. Ann. p.511-516. (Refereed)
2. Chang, M. 1983. "Stable rank 2 reflexive sheaves on p3 with large c3". J. Reine Angew. Math. p.99-107. (Refereed)
3. Chang, M. 1983. "Stable Rank 2 Bundles on IP3 with c1 = 0, c2 = 4, and x = 1". Math Z. p.407-415. (Refereed)
4. Chang, M. 1984. "Stable Rank 2 Reflexive Sheaves on P3 with Small c2 and Applications". Transactions of the American Mathematical Society. p.57-89. (Refereed)
5. Chang, M., Ran, Z. 1984. "Unirationality of the moduli spaces of curves of genus 11, 13 (and 12)". Inventiones math. p.41-54. (Refereed)
6. Chang, M., Ran, Z. 1985. "Closed Families of Smooth Space Curves". Duke Mathematical Journal. p.707-713. (Refereed)
7. Chang, M. 1986. "Postulation of Canonical Curves in IP3". Math. Ann. p.27-30. (Refereed)
8. Chang, M., Ran, Z. 1986. "The Kodaira Dimension of the Moduli Space of Curves of Genus 15". J. Differential Geometry. p.205-220. (Refereed)
9. Chang, M. 1988. "Some Good Unirational Families of Space Curves". Ark. Mat. p.55-65. (Refereed)
10. Chang, M. 1988. "Buchsbaum Subvarities of Codimension 2 in Pn". Bull. Amer. Math. Soc. p.269-272. (Refereed)
11. Chang, M. 1989. "A filtered Bertini-type theorem". J. Reine Angew. Math. p.214-219. (Refereed)
12. Chang, M. 1989. "Classification of Buchsbaum subvarities of codimension 2 in projective space". J. Rene Angew. Math. p.101-112. (Refereed)
13. Chang, M. 1990. "Characterization of Arithmetically Buchsbaum Subschemes of Codimension 2 in Pn". J. Differential Geometry. p.323-341. (Refereed)
14. Chang, M., Ran, Z. 1991. "On the slope and Kodaira dimension of Mg for small g". J. Differential Geometry. p.267-274. (Refereed)
15. Chang, M. 1992. "On the hyperplane sections of certain codimension 2 subvarities in IPn". Arch. Math. p.547-550. (Refereed)
16. Chang, M. 1992. "Some obstructed manifolds with very ample canonical bundle". J. of Algebraic Geometry. p.1-4. (Refereed)
17. Chang, M., Ran, Z. 1993. "Divisors on Some Generic Hypersurfaces". J. Differential Geometry. p.671-678. (Refereed)
18. Chang, M. 1993. "On the zero sets of vector bundles". Chinese Journal of Mathematics. p.109-114. (Refereed)
19. Chang, M., Ran, Z. 1994. "Dimension of Families of Space Curves". Comp. Math. p.53-57. (Refereed)
20. Chang, M. 1994. "The Slopes of Surfaces in P4 and Rational Expressions in Newton Functions". International Mathematics Research Notices. p.19-21. (Refereed)
21. Chang, M. 1996. "On the Chern numbers of surfaces and 3-folds of codimension 2". Tokyo J. of Math. p.368-386. (Refereed)
22. Chang, M. 1996. "The Number of Components of Hilbert Schemes". International J. of Math. p.301-306. (Refereed)
23. Chang, M., Kim, H., Nollet, S. 1998. "Bounds on c3 for threefolds". Manuscripta Math. p.135-141. (Refereed)
24. Chang, M. 1999. "On the density of ratios of Chern numbers of embedded threefolds". Communications in Algebra. p.3771-3776. (Refereed)
25. Chang, M., Kim, H. 2000. "The Euler Number of Certain Primitive Calabi-Yau Threefolds". Math. Proc. of Cambridge Phil. Soc. p.79-86. (Refereed)
26. Chang, M. 2000. "Some remarks on Buchsbaum bundles". J. Pure Appl. Algebra. p.49-55. (Refereed)
27. Chang, M., Lopez, A. 2001. "A linear bound on the Euler number of 3-folds of Calabi-Yau and of general type". Manuscripta Math. p.47-69. (Refereed)
28. Chang, M. 2001. "Some Combinatorics of Binomial Coefficients and the Bloch-Gieseker Property for Some Homogeneous Bundles". Transactions AMS. p.975-992. (Refereed)
29. Chang, M. 2002. "A Polynomial Bound in Freiman's Theorem". Duke Math. J. p.399-419. (Refereed)
30. Chang, M. 2003. "The Erdos-Szemeredi problem on sum set and product set". Annals of Math. p.939-957. (Refereed)
31. Chang, M. 2003. "Factorization in Generalized Arithmetic Progressions and Application to the Erdos-Szemeredi Sum-Product Problems". Geom. Funct. Anal. p.720-736. (Refereed)
32. Bourgain, J., Chang, M. 2003. "On Multiple Sum and Product Sets of Finite Sets of Integers". Comptes-Rendus. p.499-503. (Refereed)
33. Bourgain, J., Chang, M. 2003. "On the Size of K-Fold Sum and Product Sets of Integers". J. Amer. Math. Soc. p.473-497. (Refereed)
34. Chang, M. 2003. "New Results on the Erdos-Szemeredi Sum-Product Problems". Comptes-Rendus. p.201-205. (Refereed)
35. Chang, M. 2004. "On Problems of Erdos and Rudin". J. of Functional Analysis. p.444-460. (Refereed)
36. Bourgain, J., Chang, M. 2004. "Sum-Product Theorem and Exponential Sum Estimates in Residue Classes with Modulus involving Few Prime Factors". Comptes-Rendus. p.463-466. (Refereed)
37. Chang, M. 2004. " A Sum-Product Theorem in Semi-Simple Commutative Banach Algebras". J. Funct Anal. p.399-430. (Refereed)
38. Chang, M. 2004. "On Sums and Products of Distinct Numbers". J. of Combinatorial Theory A. p.349-354. (Refereed)
39. Chang, M. 2005. "A Sum-Product Estimate in Algebraic Division Algebras Over R". Israel J. Math. p.369-380. (Refereed)
40. Chang, M. 2006. "On Sum-Product Representations in Zq". J. of European Math. Soc. p.435-463. (Refereed)
41. Bourgain, J., Chang, M. 2006. "Exponential Sum Estimates over Subgroups and Almost Subgroups of Zq, where q is Composite with Few Prime Factors". Geom. Funct. Anal. p.327-366. (Refereed)
42. Bourgain, J., Chang, M. 2006. "A Gauss Sum Estimate in Arbitrary Finite Fields". Comptes-Rendus. p.643-646. (Refereed)
43. Chang, M. 2006. "Sum and Product of Different Sets". Contributions to Discrete Math. p.57-67. (Refereed, Electronic)
44. Chang, M. 2006. "On Sum-Product Representations in Zq". J. of European Math. Soc. p.435-463. (Refereed)
45. Bourgain, J., Chang, M. 2006. "Exponential Sum Estimates over Subgroups and Almost Subgroups of Zq, where q is Composite with Few Prime Factors". Geom. Funct. Anal. p.327-366. (Refereed)
(In Press)
1. Chang, M. "Additive and Multiplicative Structure in Matrix Spaces". Comb. Prob., Computing. (Accepted 06/10/2005. 24 manuscript pages.) (Refereed)
2. Chang, M. "Product Theorems in SL2 and SL3". J. Math. Jussieu. (Accepted 08/01/2005. 29 manuscript pages.) (Refereed)
3. Solymosi, J., Chang, M. "Sum-Product Theorems and Incidence Geometry". J. Euro. Math. Soc. (Accepted 06/12/2006. 17 manuscript pages.) (Refereed)
4. Chang, M. "On a Problem of Arnold on Uniform Distribution". J. Funct. Anal. (Accepted 06/17/2006. 9 manuscript pages.) (Refereed)
5. Chang, M. On the minimum norm of representatives of residue lasses in number fields. Duke Math. J. (Accepted 09/22/2006. 21 manuscript pages.) (Refereed)
Conference and Symposia Proceedings
(In Press)
1. Chang, M. .(Accepted 04/30/2006.) "Some Problems in Combinatorial Number Theory". 7. (Refereed, )
2. Chang, M. .(Accepted 05/12/2006.) "Set Addition and Set Multiplication". 16. (Refereed, )
(Submitted)
1. Chang, M., Ran, Z. "Deformations and Smoothing of Complete Linear Systems on Reducible Curves". (Submission Date 01/01/1985.) 12. (Refereed, )
2. Chang, M. "A Note on the Slope of Subvarities of M15". (Submission Date 01/01/1987.) 4. (Refereed, )
3. Chang, M. "On the Euler numbers of threefolds". (Submission Date 01/01/2001.) 5. (Refereed, )