宗傳明在Springer-Verlag 和Cambridge University Press出版專著三部,在歐美發表論文30餘篇,其中包括發表在Bull. Amer. Math. Soc. 上的兩篇綜述文章。Bull. Amer. Math. Soc.是最著名的數學雜誌之一,每年約稿發表十餘篇這類評述學科進展的文章。這是該雜誌歷史上首次由國內作者發表的綜述文章。 Cambridge Tracts in Mathematics 是最著名的數學叢書之一,已有一百多年的歷史,至今出版了185部。宗傳明在該叢書出版的專著 The Cube: A Window to Convex and Discrete Geometry 是該叢書歷史上第一部由國內作者出版的著作。
1. Strange Phenomena in Convex and Discrete Geometry, Springer-Verlag, New York-Berlin-Heidelberg, 1996.
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2. Sphere Packings, Springer-Verlag, New York-Berlin-Heidelberg, 1999.
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3. The Cube - A Window to Convex and Discrete Geometry, Cambridge University Press, Cambridge, 2006.
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主要論文
1. An example concerning the translative kissing numbers of a convex body, Discrete & Comput Geom. 12 (1994), 183-188.
2. On a conjecture of Croft, Falconer and Guy on finite packings, Arch. Math. 64 (1995), 269-272.
3. Some remarks concerning kissing numbers, blocking numbers and covering numbers, Period. Math. Hungar. 30 (1995), 233-238.
4. The kissing number of tetrahedra, Discrete Comput. Geom. 15 (1996), 239-252.
5. (with C.A. Rogers), Covering convex bodies by translates of convex bodies, Mathematika, 44 (1997), 215-218.
6. The translative kissing number of the Cartesian product of two convex bodies, one of which is two-dimensional, Geom. Dedicata, 65 (1997), 135-145.
7. A problem of blocking light rays, Geom. Dedicata, 67 (1997), 117-128.
8. On the kissing numbers of convex bodies, Bull. London Math. Soc. 30 (1998), 1-10.
9. (with D.G. Larman), The kissing numbers of some special convex bodies, Discrete & Comput. Geom. 21 (1999), 233-242.
10. A note on Hornich problem, Arch. Math. 72 (1999), 127-131.
11. (with L. Dalla, D.G. Larman and P. Mani-Levitska), On the blocking numbers of convex bodies, Discrete & Comput. Geom. 24 (2000), 267-277.
12. (with M. Henk), Segments in ball packings, Mathematika, 47 (2000), 31-38.
13. Simultaneous packing and covering in the Euclidean plane, Monatsh. Math. 134 (2002), 247-255.
14. (with M. Henk and G.M. Ziegler), On free planes in lattice ball packings, Bull. London Math. Soc. 34 (2002), 284-290.
15. From deep holes to free planes, Bull. Amer. Math. Soc. 39 (2002), 533-555.
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16. Simultaneous packing and covering in three-dimensional Euclidean space, J. London Math. Soc. 67 (2003), 29-40.
17. What is known about unit cubes, Bull. Amer. Math. Soc. 42 (2005), 181-211.
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18. On the packing densities and the covering densities of the Cartesian products of convex bodies, Monatsh. Math. 145 (2005), 73-81.
19. (with R.J. Gardner and P. Gronchi), Sums, projections, and sections of lattice sets, and the discrete covariogram, Discrete Comput. Geom. 34 (2005), 391-409.
20. The kissing number, blocking number and covering number of a convex body, Contemp. Math. 453 (2008), 529-548.
21. The simultaneous packing and covering constants in the plane, Advances in Math., 218 (2008), 653-672.
22. (with L. Yu), On the blocking number and the covering number of a convex body, Adv. Geom., 9 (2009), 13-29.
23. Geometry of Numbers in Vienna, The Mathematical Intelligencer, 31 (3) (2009), 25-31.
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24. A quantitative program for Hadwiger's covering conjecture, Sci. China Math. 53 (2010), 2551-2560.
25. Analytic Number Theory in China, The Mathematical Intelligencer, 32 (1) (2010), 18-25.
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26. (with H. Liu), On the classification of convex lattice polytopes, Advances in Geometry, 11 (2011), 711-729.