Academic Visits
  1. Hong Kong University, Oct. 3--9, 1993.
    Given talk (1993-10-06): A survey of covering theory.
  2. Trento University (Italy), Sept. 24, 1995--Sept. 6, 1996.
    Given talk (1995-10-24): A sketch of covering theory. >
  3. Genova University (Italy), June 4--6, 1996.
    Given talk (1996-06-05): Simple ideas for famous problems.
  4. Pisa University (Italy), July 11--12, 1996.
    Given talk (1996-07-11): Coverings of the integers and groups.
  5. Center for Combinatorics, Nankai University, March 6--August 16, 1999.
  6. Hong Kong University of Science and Technology, Feb. 28--April 14, 2000.
  7. Chinese University of Hong Kong, April 7, 2000.
    Given talk (2000-04-07): Various number-theoretic quotients and related congruences.
  8. Hong Kong University, April 10, 2000.
    Given talk (2000-04-10): Recent progress on covers of the integers and their applications.
  9. City University of Hong Kong, April 14, 2000.
    Given talk (2000-04-14): On Hilbert's tenth problem and related topics.
  10. Chinese University of Hong Kong, July 23--August 22, 2000.
  11. Institute of Mathematics, Academia Sinica (Taiwan), May 1--June 30, 2002.
    Given talk (2002-05-16): Equalities and inequalities related to covers of $\Bbb Z$ or groups.
  12. National Sun Yat-sen Univ. (Taiwan), May 27--29, 2002.
    Given talk (2002-05-28): On zero-sum problems.
  13. National Taiwan Normal Univ. (Taiwan), June 12, 2002.
    Given talk (2002-06-12): On the sum $\sum_{k\equiv r (mod m)}\binom{n}{k}$ and related results.
  14. National Taiwan Univ., June 24, 2002.
    Given talk (2002-06-24): On the structure of periodic arithmetical maps.
  15. National Taiwan Univ., Nov. 4--12, 2002.
    Given talk (2002-11-06): On the sum $\sum_{k\equiv r (mod m)}\binom{n}{k}$ and related results.
  16. Institute of Mathematics, Academia Sinica (Taiwan), Nov. 11, 2002.
    Given talk (2002-11-11): Snevily's conjecture on abelian groups and an algebraic method in combinatorics.
  17. Kyushu University (Fukuoka, Japan), Nov. 16--22, 2003.
    Given talk (2003-11-21): How to unify covering systems, restricted sumsets and zero-sum problems.
  18. Northwest University (Xi'an, China), Feb. 12--16, 2004.
    Given talk (2004-02-13): Recent progress on zero-sum problems and Snevily's conjecture.
  19. ICTP (International Centre for Theoretical Physics) (Trieste, Italy), May 24--June 12, 2004.
  20. Graz University (Graz, Austria), June 13--19, 2004.
    Given talk (2004-06-14): Covering systems and their connections to zero-sum problems.
  21. Vienna University of Technology (Vienna, Austria), June 17, 2004.
    Given talk (2004-06-17): On disjoint systems of residue classes or cosets of subgroups.
  22. Genova University (Genova, Italy), June 20--25, 2004.
    Given talk (2004-06-23): On the Erd\"os-Heilbronn conjecture and Snevily's conjecture.
  23. Firenze Univ. (Florence, Italy), June 26--28, 2004.
    Given talk (2004-06-28): On various combinatorial sums and related identites.
  24. Univ. Roma "Tor Vergata" (Rome, Italy), June 28--30, 2004.
    Given talk (2004-06-30): Two local-global theorems and a powerful formula.
  25. Institut Camille Jordan, Universit\'e Claude Bernard Lyon-I (France), Jan. 11--March 10, 2005.
    A typical talk (2005-01-13): Identities and congruences for Bernoulli and Euler polynomials.
  26. Univ. Saint-Etienne (France), Feb. 1, 2005.
    Given talk (2005-02-01): Problems and results on covering systems.
  27. Univ. Bordeaux I (France), Feb. 16--18, 2005.
    Given talk (2005-02-17): Some effective results related to covers of Z and zero-sum problems.
  28. Univ. California at Irvine (USA), May 13, 2005--May 6, 2006.
    Given talk (2005-05-25): Problems and results on covering systems.
    Given talk (2005-11-10): On some conjectures of Erdos-Heilbronn, Lev and Snevily.
    Given talk (2006-01-19): A survey of zero-sum problems on abelian groups.
  29. Univ. Wisconsin at Madison (USA), April 3--8, 2006.
    Given talk (2006-04-04): Some curious results on Bernoulli and Euler polynomials
    Given talk (2006-04-06): Recent progress on congruences involving binomial coefficients.
  30. Univ. Illinois at Urbana-Champaign (USA), April 12--14, 2006.
    Given talk (2006-04-13): Covering systems and periodic arithmetical functions.
  31. Massachusetts Institute of Technology (MIT, USA), April 20--22, 2006.
    Given talk (2006-04-21): Combinatorial aspects of covers of groups by cosets or subgroups.
  32. Zhejiang Univ., May 24--28, 2006.
    Given talk (2006-05-26): Some congruences motivated by algebraic topology.
  33. ECNU Workshop on q-Series (East-China Normal Univ., June 21, 2006).
    Given talk (2006-06-21): Some congruences concerning q-Euler numbers, q-Salie numbers and q-Carlitz numbers.
  34. Internat. Workshop on Finite Fields and their Appl. (Chenxing Math. Center, July 3--7, 2006).
    Given talk (2006-07-07): p-adic orders of some sums involving binomial coefficients.
  35. The Fourth China-Japan Conf. on Number Theory (Shandong Univ., Weihai, Aug. 30--Sept. 3, 2006).
    Given talk (2006-08-30): Curious identities and congruences involving Bernoulli polynomials.
  36. Beijing Normal University, Jan. 25, 2007.
    Given talk (2007-01-25): Problems and results on restricted sumsets.
  37. The Institute of Mathematics, Chinese Academy of Sciences (Beijing), Jan. 22--30, 2007.
    Given talk (2007-01-30): Combinatorial aspects of Szemeredi's theorem.
  38. Zhejiang University, April 5--8, 2007.
    Given talk (2007-04-06): Additive combinatorics and Latin transversals.
  39. The Fourth Cross-Strait Conf. on Graph Theory and Combin. (National Taiwan Univ., Taipei, June 24--27, 2007).
    Given talk (2007-06-24): An additive theorem and restricted sumsets.
  40. National Cheng Kung University (Tainan), June 28--29, 2007.
    Given talk (2007-06-28): Sums of squares and triangular numbers, and Rado numbers for linear equations.
  41. The 19th Annual Int. Conf. on Formal Power Series and Algebraic Combin. (Nankai Univ., Tianjin, July 2--6, 2007).
    Given talk (2007-07-04): An additive theorem related to Latin transversals.
  42. The 2007 Annual. Conference of the Chinese Math. Soc. (Beijing, Nov. 1--4, 2007).
    Invited talk (2007-11-3): Some famous problems and related results in combinatorial number theory.
  43. The 4th Int. Congress of the Chinese Mathematicians (Zhejiang Univ., Hangzhou, Dec. 17--22, 2007).
    Invited talk (2007-12-21): Groups in combinatorial number theory.
  44. Tongji Univ., Shanghai, Jan. 18--21, 2007.
    Given talk (2008-01-18): Various extensions of some basic results in combinatorial number theory.
  45. The 6th Shanghai Conference on Combinatorics (Shanghai Jiao Tong Univ., May 24--28, 2008).
    Plenary talk (2008-05-28): Recent problems and results involving binomial coefficients.
  46. Suzhou Univ., Suzhou, June 18--20, 2008.
    Given talk (2008-06-19): An extremal problem on covers of abelian groups.
  47. Nankai Univ., Tianjin, June 23--25, 2008.
    Given talk (2008-06-24): An extremal problem on covers of abelian groups.
  48. The Institute of Mathematics, Chinese Academy of Sciences (Beijing), June 26--30, 2008.
    Given talk (2007-06-29): Study covers of groups via characters and number theory.
Courses Taught
Basic Number Theory, Combinatorial Number Theory, Algebraic Number Theory;
Combinatorics, Discrete Math., Mathematical Thoughts and Methods;
Advanced Algebra, Modern Algebra, College Math.;
Mathematical Logic, Set Theory, Recursion Theory, Model Theory.
Discrete Mathematics for CS (Univ. California at Irvine, Fall, 2005).
Math. 2B: Calculus (Univ. California at Irvine, Winter, 2006).
 
Ph.D. and Postdoctor Students
Yi Wang (postdoctor, 2000.9--2002.7);
Ke-Jian Wu (Ph.D., 2001.2--2004.1);
Qing-Lin Lu (Ph.D., 2002.2--2005.1);
Zhi-Zheng Zhang (postdoctor, 2002.9--2004.7);
Hao Pan (Ph.D., 2003.9--2006.7);
Hui-Qin Cao (Ph.D, 2004.9--2007.7);
Song Guo (Ph.D., 2004.9--2007.7).
 
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