劉張炬,教授,主要專著有《Strange Phenomena in Convex and Discrete Geometry》。
基本介紹
- 中文名:劉張炬
- 代表作品:Strange Phenomena in Convex and Discrete Geometry
- 職稱:教授
主要專著,主要論文,社會兼職,榮譽獲獎,
主要專著
1. Strange Phenomena in Convex and Discrete Geometry, Springer-Verlag, New York-Berlin-Heidelberg, 1996.
3. The Cube - A Window to Convex and Discrete Geometry, Cambridge University Press, Cambridge, 2006.
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.
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. 20080314090401.pdf
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.
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.
26. (with H. Liu), On the classification of convex lattice polytopes, Advances in Geometry, 11 (2011), 711-729.
27. (with J.C. Lagarias), Mysteries in packing regular tetrahedra, Notices AMS, 59 (2012), 1540-1549.
28. On the classification of convex lattice polytopes (II), Advances in Geometry, 14 (2014), 239-252.
29. What is the Leech lattice, Notices AMS, 60 (2013),
30. On the translative packing densities of tetrahedra and cuboctahedra, Advances in Mathematics, 260 (2014), 130-190.
31. Packing, covering and tiling in two-dimensional spaces, Expo. Math. 32 (2014), 297-364.
社會兼職
2012年8月31日 中國數學會學術年會大會報告
2012年12月5日 世界密碼協會亞洲會議(Asiacrypt 2012)大會報告
榮譽獲獎
2015年 美國數學會 Levi L. Conant Prize
2013年 國家萬人計畫 --- 領軍人才
2009年 國家自然科學二等獎
2009年 長江特聘教授
2008年 von Prechtl 獎章