Weidong Gao

Professor

Center for Combinatorics
Nankai University
Tianjin 300071
China

e-mail: gao@cfc.nankai.edu.cn

Research Interests

• Number Theory
• Combinatorical Number Theory
• Combiantorics in finite sets
• Group Rings

Education

• Ph.D. Mathematics, Sichuan University, China, 1994. Thesis Title: Some problems in additive group theory and additive number theory. Adivisor: Qi Sun.
• M.S. Mathematics, Northeast Normal University, China, 1988.
• B.Sc. Mathematics, Northeast Normal University, China, 1985.

Employment

• Profeeser,Center for Combinatorics, Nankai University, Tianjin 11/05/2004-
• Professor, Department of Computer Science and Technology, University of Petroleum, Beijing 03/26/1998-11/04/2004.
• Postdoctoral: Institut f\"{u}r Mathematik, Karl-Franzens-Universt\"{a}t, Graz/Austria 03/01/1997-02/25/1998.
• Associate Professor, Beijing University of Posts and Telecommunication, Beijing 07/1996-02/1997.
• Postdoctoral, Department of Mathematics, Dalian University of Technology, Dalian 06/1994-06/1996.
• Assistant Professor, Department of Mathematics, Northeast Normal University, Changchun 09/1988-08/1991.

Short-term Visiting Scholar at Following Institutions

• Department of Mathematics, Massachusetts Institute of Technology, USA, 12/22/2003-03/15/2004.
• Academy of Mathematics and System Sciences, the Chinese Academy of Sciences, 03/01/2000-05/31/2000.
• ILLC-Department of Mathematics and Computer Science, University of Amsterdam, Holloand, 10/27/1997-11/10/1997

Awards and Honors

• Lise-Meitner Postdoc. Fellowship (FWF, Austria), Project No. M00397-MAT. 03/1997-02/1998.
• Guanghua Ph.D. Fellowship, Sichuan University, 1993.
• Postdoctoral: Institut f\"{u}r Mathematik, Karl-Franzens-Universt\"{a}t, Graz/Austria 03/01/1997-02/25/1998.

Research Grants

• NSFC Grant, 01/01/2003-31/12/2005.
• NSFC Grant, 01/01/2000-31/12/2002.
• NSFC Grant, 01/01/1997-31/12/1999.
• MOEC Grant, 01/01/2002-31/12/2003.
• MOEC Grant, 01/01/1999-31/12/2001.
• MOEC Grant, 10/01/1998-09/30/1999.
• Univ. Petroleum Research Foundation Grant, 01/01/2000-12/31/2001.
• Univ. Petroleum Research Foundation Grant, 01/01/1998-12/31/1999.

On Editorial Board of Mathematical Journal

• Far East Journal of Mathematical Sciences, India, 02/2002-

Teaching

• Linear Algebra B, (Fall 1988, Spring 1989)
• Mathematical Analysis B, (Fall 1989, Spring 1990)
• Linear Algebra B, (Fall 1990, Spring 1991)
• Number Theory M, (Fall 1993)
• Number Theory M, (Spring 1995)
• Mathematical Analysis B, (Fall 1996)
• Advanced Mathematical Analysis M, (Fall 1996)
• Discrete Mathematics B, (Fall 1998)
• Combinatorics B, (Spring 1999)
• Discrete Mathematics B, (Fall 1999)
• Combinatorics B, (Spring 2000)
• Discrete Mathematics B, (Fall 2000)
• Combinatorics B, (Spring 2001)

Publication

• W.D. Gao and J.J. Zhuang, Sequences not containing long zero-sum subsequences, European J. Combinatorics 27(2006) 777-787.
• W.D. Gao and A. Geroldinger, On the number of subsequences with given sum of sequences over finite abelian p-groups, Rocky Mountain J. Math., to appear.
• W.D. Gao and I. Leader, Sums and $k$-sums in abelian groups of order k, J. Number Theory, in press.
• W.D. Gao, A. Panigrahi and R. Thangadurai, On the structure of $p$-zero-sum free sequences and its application to a variant of Erd\H{o}s-Ginzburg-Ziv theorem}, Proceedings of Indian Academy of Sciences (Mathematical Sciences) 115(2005)67-77.
• W.D. Gao and A. Geroldinger, On a property of minimal zero-sum sequences and restricted sumsets, Bull. London Math. Soc. 37(2005) 321-334.
• Chi, S. Y. Ding, W. D. Gao, A. Geroldinger and W. A. Schmid, On zero-sum subsquences of restricted size IV, Acta Mathematica Hungarica 107(2005) 337-344.
• J.J. Zhuang and W.D. Gao, Erdo''s-Ginzburg-Ziv theorem for dihedral groups of large prime index, European J. Combinatorics 26(2005) 1053-1059.
• W.D. Gao and J. Zhou, On short zero-sum subsequences, Ars Combin. 74(2005) 231-238.
• W.D. Gao, I. Z. Ruzsa and R. Thangadurai, Olson's constant for the group Z_p\oplus Z_p, J. Combinatorial Theory, Ser. A 107(2004) 49-67.
• W.D. Gao and R. Thangadurai, A variant of Kemnitz conjecture, J. Combinatorial Theory, Ser. A 107(2004) 69-86.
• W.D. Gao and D.J. Wang, Additive latin transversals and group rings, Israel J. Math. 140(2004) 375-379
• W.D. Gao and X. Jin, Weighted sums in finite cyclic groups, Discrete Mathematics 283(2004) 243-247.
• W.D. Gao and A. Geroldinger , On zero-sum sequences in Z/nZ+Z/nZ, INTEGERS: Electronic J. Combinatorial Number Theory 2003.
• W.D. Gao and A. Geroldinger , Zero-sum problems and coverings by proper cosets , European J. Combinatorics 24(2003) 531-549.
• W. Gao, Y.O. Hamidoune, A. LLad'o and O. Serra, Covering a finite abelian group by subset sums, Combinatorica 23(2003) 599-611.
• W.D. Gao and R. Thangadurai, On the structure of sequences with forbidden zero-sum subsequences, Colloquium Mathematicum 98(2003) 213-222.
• W.D. Gao and A. Geroldinger, On the order of elements in long minimal zero-sum sequences, Periodica Mathematica Hungarica 44(2002) 63-73.
• S.T. Chapman , M. Freeze , W. D. Gao and W. W. Smith , On Davenport's constant of finite abelian groups, Far East Journal of Mathematical Sciences 5(2002) 27-54.
• W.D. Gao , On zero-sum subsequences of restricted size III, Ars Combin. 61(2001) 65-72 .
• W.D. Gao , On zero-sum subsequences of restricted size II, Discrete Mathematics 271(2003) 51-59..
• W.D. Gao , Note on a zero sum problem, J. Combinatorial Theory , Ser. A, 95(2001), 387-389.
• W.D. Gao and A. Geroldinger , Sets of length II, Abh. Math. Sem. Univ. Hamburg, 70(2000), 31-49.
• W.D. Gao , Zero sums in finite cyclic groups, Integers: Electronic Journal of Combinatorial Number Theory 2000.
• W.D. Gao , Two zero-sum problems and multiple properties, J. Number Theory 81(2000) 254-265.
• W.D. Gao, On Davenport's constant of finite abelian groups with rank three, Discrete Mathematics 222(2000) 111-124.
• W.D. Gao On the number of zero-sum subsequences, Discrete Mathematics 195(1999) 127-138.
• W.D. Gao and A. Geroldinger , On long minimal zero sequences in finite abelian groups, Periodica Math. Hungarica 38(1999) 179-211.
• W.D. Gao and Y. O. Hamidoune , On additive bases, Acta Arith. 88(1999) 233-237.
• W.D. Gao and Y. O. Hamidoune, On a zero-sum problem in abelian groups , Combin. Probab. Comput. 7(1998) 261-263.
• W.D. Gao and A. Gerlodinger, On the structure of zero-free sequences , Combinatorica 18(1998) 518-527.
• W.D. Gao and A. Geroldinger, Half factorial domains and half factorial subsets in finite abelian groups, Houston Journal of Mathematics 49(1998) 593-611.
• W.D. Gao and H. Q. Yu, On the union-closed set conjecture, Ars Combin. 49(1998) 280-288.
• W.D. Gao, Addition theorems and group rings, J. Combinatorial Theory, Ser. A 77(1997) 98-109
• W.D. Gao, An addition theorem for finite cyclic groups, Discrete Mathematics 163(1997) 257--265.
• W.D. Gao, On the number of zero sum subsequences, Discrete Mathematics 163(1997) 267-273.
• W.D. Gao, On a combinatorial problem connected with factorizations, Colloquium Mathematicum 72(1997) 251-268.
• W.D. Gao, On zero-sum subsequences of restricted size, J. Number Theory 61(1996) 97-102.
• W.D. Gao , A combinatorial problem on finite abelian groups, J. Number Theory 58(1996) 100-103
• W.D. Gao, Two addition theorems on groups of prime order, J. Number Theory 56(1996) 211-213.
• F.Z. Li and W. D. Gao, Addition theorems on Z_n, Discrete Math. 137(1995) 371--376.
• W.D. Gao, Addition theorems for finite abelian groups,
• J. Number Theory 53(1995) 241-246. W.D. Gao and Y.X. Yang, Note on a combinatorial constant, J. Math. Res. and Expo. 17(1997) 139-140. (in Chinese)
• W.D. Gao, An improvement of Erd\"os-Grinzburg-Ziv theorem, Acta Math. Sinica 39(1996) 514-523. (in Chinese)
• W.D. Gao and H. F. Lin, Some estimates of Davenport's constant, J. Math. Res. and Expo. 16(1996) 297--300. (in Chinese)
• W.D. Gao, A combinatorial problem on finite groups, Acta Math. Sinica 38(1995) 395-399. (in Chinese)
• W.D. Gao, The structure of two classes of sequences in Z_n, Adv. in Math. (China) 22(1993) 348-353.(in Chinese)
• W.D. Gao, A combinatiorial problem concerning groups, Acta Math. Sinica 36(1993) 583-589. (in Chinese)
• Q. Sun , D.X. Zheng, M.Z. Zhang and W.D. Gao, A generalization of X. H. Yu's problem, J. Chengdu Univ. Sci. Tech. 4(1993) 87-94. (in Chinese)
• W.D. Gao, Complete systems of residues in dedekind domains, J. Math. Res. Expo. 12(1992) 88-90. (in Chinese)
• W.D. Gao and G.L. Liu, Congruence and the chromatic number, Acta Sci. Natur. Univ. Jilin 14(1991) 30--32.
• W.D. Gao and K.X. Li, Commutativity conditions for Baer semi-simple rings, Dongbei Shida Xuebao 35(1991) 11--13. (in Chinese)
• W.D. Gao, On additivity of integers, Adv. in Math. (China) 19(1990) 488--492. (in Chinese)
• W.D. Gao, Golomb's conjecture holds in the finite field G F (p^{m (p^{m} -1)}), Chinese Ann. Math. Ser A 10(1989) 559-564. (in Chinese)
• W.D. Gao, On the Golomb's conjecture, Dongbei Shida Xuebao 32(1988) 11-14. (in Chinese)
• W.D. Gao, On the Diophantine equation x^4 + k x^2 y^2 + y^4 = z^2, Dongbei Shida Xuebao 31(1987) 21-26. (in Chinese)
• W.D. Gao, Among any $2 n-1$ positive integers there are $n$ whose sum is a multiple of n, Dongbei Shida Xuebao 29(1985) 15-17. (in Chinese)

This page was last updated on:
May 25, 2006