
Today
is ：

CURRICULUM
VITAE of
Address : Tsinghua University, Department
of Mathematical Sciences,
Beijing
100084, P. R. China
UNIVERSITY
EDUCATION
RESEARCH
PRIZES AND AWARDS
MEMBERSHIP AND SERVICE
ACADEMIC TALKS
Writing Comments
Recent Publications
Publ.list in《Math. Reviews》(partial)
Reviews by 《Math. Reviews》(partial)
Ph.D.
1985:
Univ.
of Science and Tech. of China;
MA.
1982:
Univ. of Science and Tech. of China;
B.Sc(equi.). 1969:
Univ. of
Science and Tech. of China.
RESEARCH:
Tsinghua University (1993);
University of Science
& Tech. of China (19781993);
University of Maryland,
USA (Aug. 1987Sept. 1988);
International Centre for
Theor. Physics, Italy
(Regular Asso. Member
1991; Senior Asso Membr 1999);
Areas: Number Theory,
Algebra, Function Fields,
Arithmetic Algebraic
Geometry, Arithmetic of Elliptic Curves
HIGHER
EDUCATION:
Tsinghua University,
Professor, 1993;
Univ. Scien. & Tech.
China, Professor/Asso.Prof./Instructor/Assist., 197493;
Lecture Courses: Algebraic Number
Theory;
Class Field Theory
(1983, to graduates); Algebraic Geometry;
Elliptic Curves (1986);
Abstract Algebra, Linear Algebra, Calculus,
Complex Analysis,
Analytic Geometry, Number Theory,
Algebraic Code
Theory, Commutative Algebra, etc.
1. Be Conferred the Title
``Ph. Doctor of China Having Outstanding Merit''
by State Education Commission & State AcademicDegree Commission, Jan.
1991
2. National
NaturalScience Prize (1989, with Keqin Feng and Hongwen Lu)
3. Scientific Progress
Prize (Academia Sinica, 1988, with Feng & Lu)
4. Prize of Scientific
Research (Univ Sci Tech China, 1985)
5. Prize of Scientific Papers
(Anhui Province, 1986)
6. Prize of
"Good Teacher and Helpful Friend of GraduateStudents"
(Tsinghua Univ. 1998)
International Center for
Theoretical Physics (Regular Associate Member(1991),
Senior A. Member (1999).
American Mathematical
Society (1985).
Regular Reviewer of
``Mathematical Reviews'' (USA) (1985).
Regular Reviewer of
``Zentralblatt fur Mathematik'' (Germany, 1985).
Beijing Math. Society (ViceDirector)
(1996).
ViceChief Editor
of "Mathematics in Practice and Theory" (1997)
Editor of "World
Science and TechnologyResearch & Development" (1995)
Chairman of Committee of
Math Academic Degree, Tsinghua Univ.(19972000)
Commissioner of Committee
of Academic Degree, Tsinghua Univ.(19972000)
Centennial of American
Math. Society, Providence, USA, 1988;
Meeting 843 of American
Math. Society, Maryland, USA, 1988 ;
International Congress of
Mathematicians, Zurich, Switzerland, (short communication)1994;
National Congress on
Number Theory II & III, Hefei 1983; Chengdu 1991;
University of New York
City, USA, 1988;
University of Maryland,
USA, 1987;
University of Rome,
Sapienza, Italy, 1992;
University of Trieste,
Italy, 1992;
ETH, Swiss Federal
Institute of Technology, Zurich, Switzerland, 1992;
ICTP, International Centre
for Theoretical Physics, Italy, 1992 ;
National Summer School of Mathematical
GraduateStudents ,Beijing, 1996;
Chongqing University,
Sichuan, 1991;
Information Institute of
The Army, 1992.
Prof. Don Zagier
and L. C. Washington :
ZHANG
is
``among
China's leading number theorists today ''
[1989.1.5,Maryland USA];
TO
THESIS: ``these papers would without any question
earn Mr.
Zhang a doctorate in any university of Europe
or the United
States. I recommend him highly ''
[1984.2.2,Bonn].
PUBLICATIONS
(in
chronological order):
[1] Research on Several
Abelian Number Fields, Thesis of B.Sc. Degree, Univ. of Science and Technology
of China, 1981.
[2] On Four Types of
Algebraic Number Fields and Algebraic Function Fields, PH. Doctorate
Dissertation, Univ. of Science and Technology of China, 1985; "A
Collection of Ph. D. Dissertations", Vol. 2(Science), published by
Univ. Sci. Tech. China, 1988, pp. 39108.
[3] Analysis of the
Behaviour of Errordetecting Codes Under Conditions of Feedback and
Retransmission Error Control, Acta Math. Applagatae Sinica, 2(1979), No. 3,
278 286; Math. Rev. 81j: 94029. (cooperated with Feng Keqin).
[4] On Number Fields of
Type (2, 2, ... , 2) , J. China Univ. Sci. Tech., 12 (1982), No.4, 2941;
Math. Rev. 84j: 12007.
[5] Density of
Discriminants of Fields of Type (2, 2, ... , 2), Kexue Tongbao (Monthly J.
Scien.), 28(1983), No. 12, 1708; Math. Rev. 86d: 11096.
(Its Chinese Version ,
Kexue Tongbao(Chinese), 27 (1982), No. 21, 1342.)
[6] On Relative Integral
Bases of Quartic Cyclic Number Fields, Kexue Tongbao (Monthly J. Scien.),
28(1983), No. 4, 456457; Math. Rev. 85e: 11081; Zentral. Math. 513.12004
(cooperated with Feng Keqin).
(Its Chinese Version , Kexue
Tongbao, 27(1982), No.16, 961 ).
[7] On Number Fields of
Type (L, L, ... , L) , Scientia Sinica, A27(1984), No. 10, 10181026; Math.
Rev. 86j: 11106; Zentral. Math. 616(1987), 12001.
(Its Chinese Version,
Scientia Sinica (Chinese), A1(1984), 3138. )
[8] Density of Number
Fields of Type (2, 2, ... , 2), Scientia Sinica, A27(1984), No.4, 345351;
Math. Rev. 86d: 11096.
( Chinese Version,
Scientia Sinica(Chinese), A9(1983), 805811. )
[9] Relative Integral
Bases of Cyclic Quartic Fields(in Chinese), Acta Math. Sinica, 27(1984),
No.3, 425432;
Math. Rev. 87c: 11102; Zentral. Math.
537(1985), 12005.
[10] Note on a Paper :
"The Integers of Normal Quartic Fields" [Ann. of Math. (2)
31(1930), 381 418;
Jbuch 56, 870] by A. A. Albert,
J. China Univ. Sci. Tech., 14(1984), No. 2, 171177; Math. Rev. 86b: 11066.
[11] Cyclic Quartic Fields
and Genus Theory of Their Subfields, J. Number Theory, 18 (1984), No.3,
350355;
Math. Reviews 85k:
11053; Zentral. Math. 546.12002.
[12] Note on a Paper by A.
A. Albert, Monthly Journal of Science (Kexue Tongbao), 29 (1984), No.11,
14341435;
Math. Rev. 86k:
11058.
(Chinese Version,
Kexue Tongbao (Chinese), 29(1984), No.13, 776777. )
[13] Relative Integral
Bases and Units of C_L^n Fields, J. China Univ. Sci. Tech., 14(1984), No.
3, 427428.
[14] A Simple Construction
of Genus Fields of Abelian Number Fields, Proceed. of American Math. Soc. 94(1985),
No.3. 393395;
Math. Reviews 86h: 11091.
[15] Relative Integral
Bases and Units of Fields of Type (L, L, ... , L) (in Chinese), Acta Math.
Sinica, 29(1986),
No. 5,
622627; Math. Rev. 88d: 11100 .
[16] Counterexample and
Correction About Genus Fields of Number Fields, J. of Number Theory,
23(1986), No.3, 318321; Math. Rev. 88c: 11065.
[17] Arithmetic of
nquadratic Algebraic Function Fields, Monthly Journal of Science (Kexue
Tongbao), 32 (1987), No.17, 11571161.
( Chinese Version , Kexue
Tongbao (in Chinese), 31 (1986), No.16, 12011204 . )
[18] Congruences of Class
Numbers of General Cyclic Cubic Number Fields, J. China Univ. Sci. Tech. 17
(1987), No. 2, 141145; Math. Rev. 88i: 11076.
[19] Congruences for Class
Numbers of General Cyclic Quartic Fields, Chinese Science Bulletin, 33
(1988), No.22, 11451148 ; Math. Rev. 89g: 11101.
(Chinese Version, Kexue Tongbao (in Chinese), 32(1987), No. 23,
17611763 . )
[20] Ambiguous Classes and
2ranks of Class Groups of Quadratic Function Fields, J. China Univ. Scien.
Tech. 17(1987), No.4, 425430; Math. Rev. 89j: 11115 .
[21] Algebraic Function
Fields of Type (2, 2, ... , 2) , Scientia Sinica, Series A31(1988), No. 5,
521530; Math. Rev. 90a: 11143.
(Chinese
Versin, Scientia Sinica (in Chinese), Series A1(1988), 816. )
[22] Determination of
Algebraic Function Fields of Type ( 2, 2, ... , 2) with Class Number One,
Scientia Sinica, A31(1988), No.8, 908915; Math. Rev. 90a: 11144.
(Chinese
Version, Scientia Sinica (in Chinese), A 2(1988), 129135. )
[23] Seven Topics on
Methodology of Academic Studying and Research, J. for Students of Univ.
Scien. Tech. China, 4(1988), 7181; also in <>,
Ji Chen & Zhonghao Ye ed., Front of Element. Math., Jiangsu Education Press, Vol. 1,
1995, pp.399416.
[24] Congruences of Class
Numbers of Number Fields, American Math. Soc. Meeting 843, Maryland, April
1988.
[25] Ten Formulae of Type
AnkenyArtinChowla for Class Numbers of General Cyclic Quartic Fields,
Scientia Sinica, A 32(1989), No.4 ,417428; Math. Rev. 91b: 11112.
(Chinese Version,
Scientia Sinica ( in Chinese), A7(1988), No.7, 688697. )
[26] Class Numbers and
Units of Several Kinds of Quadratic Fields , presented at the Centennial of
Amer. Math. Soc. (AMS Meeting. 844), Providence, August 1988; Abstract. of
Amer. Math. Soc. (1988.8).
[27] Congruences Modulo 8
for Class Numbers of General Quadratic Fields Q(\sqrt m ) and Q(\sqrt m ),
J. Number Theory, 32(1989), No.3, 332337; also presented at Amer. Math.
Soc. Meeting 843, 1988 ; Math. Rev. 90k: 11137.
[28] Solutions of the
Diophantine Equations Related to Real Quadratic Fields, Chinese Science
Bulletin, 37(1992), No.11, 885889; Zentral. Math. 762.11036.
( Chinese Version, Kexue Tongbao(
in Chinese), 36(1991), No. 23, 17721775. )
[29] The Determination of
Subgroups in Ideal Class Groups of Real Quadratic Fields, Chinese Science
Bulletin, 37(1992), No.11: 890893; Zentral. Math. 762.11037.
(Chinese Version,
Kexue Tongbao, (Chinese), 36(1991), No.24: 18471849. )
[30] Determination of
Solutions and Solvabilities of Diophantine Equations and Quadratic Fields,
"Algebraic Geometry and Algebraic Number Theory", World Science,
Singapore/London, Vol.3 (1992), 189199
[31] Criteria of Class
Number h(K)=1 for Real Quadratic Fields, Chinese Science Bulletin, 38
(1993), No. 4, 273276; Zentral. Math. 773.11060.
(Chinese
Version, Kexue Tongbao (in Chinese), 37(1992), No. 11, 20172019. )
[32] Class Groups of Certain
Real Quadratic Fields, J. China Univ. Scien. Tech. 22(1922), No. 4,
393395.
[33] Relative Integral
Basis of Fields of Type (q^s, q^s, ..., q^s), Chinese Science Bulletin, 38
(1993) , No. 16, 13361339.
(Chinese Version , Kexue
Tongbao (in Chinese) , 38(1993), No. 9, 777779. )
[34] Class Group H(d) and
Class Number h(d) of Q(\sqrt d) and CohenLenstra Heuristics and
Diophantine Equations, ICM 94, Intern. Congress of Mathematicians, Zurich,
August, 1994 (cooperated with L. C. Washington); (short communication)
Abstract of ICM 94.
[35] Equations of Real
Quadratic Fields and SemiSimple and Continued Fractions, Chinese Science
Bulletin, 40(1995), No. 21, 17611765.
(Chinese Version , Kexue
Tongbao (in Chinese), 40(1995), No. 10, 865867. )
[36] Some Composite
Relative Extensions and Relative Integral Bases, Algebraic Colloquium,
2(1995), No. 3, 269274.
[37] New Development of
Fermat's Last Theorem, World Scientific Research and Development, 17
(1995), No. 4, 2627 .
(Continuing in the following "Recent Publications")
RECENT PUBLICATIONS
[38] Existence of Integral
Bases for Relative Extensions of NCyclic Number Fields,
J. Number Theory, 60(1996.10), No. 2, 409—416.
[39] Ideal Class Groups of
Real Quadratic Fields of Generalized ERDType,
Tsinghua Science and Technology,
1(996), No. 3, 263265.
[40] Relative Integral
Bases of Abelian qfields, Chinese Science Bulletin, 41(1996),
No. 13, 10651068.
(Chinese version: Kexue Tongbao, 41(1996.6), No. 12, 10661068)
[41] Cllasification and
Prime Decomposition of Abelian qfields, Chinese Science
Bulletin, 41(1996), No.24, 20252028.
(Chinese version: Kexue Tongbao, 41(996.12), No. 23, 21132115).
[42] Ideal Class Groiups
and Their Subgrouips of Real Quadratic Fields, (with
Prof. L.C. Washington), Science in China, Seies A 40(1997), No.9, 909916.
(Chinese version: A27(1997),
No. 6: 522528).
[43] Modification of
CohenLenstra Heuristics for Ideal Class Groiups and Numbers
of Certiain Real Quadratic Fields, (With L.C. Washington), Chinese Science
Bulettin, 42(1997), No.23, 19591962.
(Chinese version: 42(1997.10), No. 19:
20532056
[44] Fermat's Last Theorem
 Proof of A. Wiles, World Sci. Tech. Research and
Development, 19(1997), NO.1, 7478 (in Chinese).
[45] Heuristics and
Related Results on Class Groups of Real Quadratic Fields,
(with L. C. Washington), Science in China, A41(1998), No.4. 365370.
(Chinese version: A28(1998), No. 2: 140144).
[46]. 《Advanced Algebra》, Tsinghua
Univ. Press, 1998.3, Beijing
(in Chinese)
[47] 《Intro. to Algebraic Number Theory》, Hunan Edu. Pub.,
1999.1, China (authorized by National Dept
of Education as "Graduate Texts of
China" )
[48] Structure and Prime
Decomposition Law and Relative Extensions of Abelian
Fields with Prime Power Degree, Science in China, A42(1999), No.8, 816824
(Chinese
version: A29(1999), No.6, 509517)
[49] Explicit
Classification for the Torsion Cyclic Subgroups of Rational Points with
Even Order of Elliptic Curves, Chinese Science Bulletin, 44(1999), No.21,
19511952
(Chinese version: 44(1999),
No.11, 11521154)
[50] Explicit
Determination of Torsion Subgroup of Elliptic Curves over Multi
Quadratic Fields, with Qiu Derong, Advances in Math., 28(1999), No.5,
475478
[51] Steinitz Class of MordelWeill Groups of
Elliptic Curves with Complex Multipli
cation (with Tong Liu), Pacific Journal of Mathematics, 193(2000), No.2,
371379.
(This
paper is available via http://nyjm.albany.edu:8000/PacJ/2000/19327.html
)
[52] Fundamental Unit System and Class Number for
Real Number Fields of Type
(2, 2, 2),
with Wang Kunpeng, Tsinghua Science and Technology, 5(2000), 2:150153.
[53] The Fundamental Units of Algebraic Real
Quadratic Function Fields, with
Wang Kunpeng, Advances in Math., 29(2000), No.2, 179180.
[54] Elliptic Curves of TwinPrimes over Gauss
Field and Diophantine Equation,
with Qiu Derong, Advances in Math. 29(2000), No.3, 279281.
[55]. Steinitz Class of
Elliptic Curves with Complex Multiplication (with Liu Tong),
Progress in Natural Science, 10(2000), No.4, 310313.
[56] Elliptic Curves and Their Torsion
Groups over Number Fields of Type
(2, …, 2) , with
Qiu Derong, Science in China, A44 (2001.2), 2:159167
(Chinese version: A30(2000), No.7, 612619.)
[57] Continued fraction of
functions connected with real quadratic function fields, with Wang Kunpeng,
Advanced in Math. 29(2000. 8), No.4, 375377.
[58] Selmer groups
and MordellWeil groups of two types of elliptic curves, with Qiu Derong,
Progress in Natural Science, 10(2000.12), No.12, 946949
[59] Ideal class
groups and subgroups of real quadratic function fields, with Wang Kunpeng,
Tsinghua Science and Technology, 5(2000.12), No.4: 372373
[60] Lower bound
for ideal class numbers of real quadratic function fields, with Wang
Kunpeng, Tsinghua Science and Technology, 5(2000.12), No.4: 370371
[61] Elliptic
Curves and Their Torsion Subgroups Over Number Fields of Type (2, 2, …, 2), with Qiu Derong,
Science in China, A44, 2(2001), 159167. (IDS Number: 406BV)
[62] Special values
of Lseries attached to two families of CM elliptic curves, with Qiu Derong, Progress in Natural
Sciences, Vol.11(2001), 11, 865870(IDS
Number: 488VG)
[63] Explicit Classification for Torsion Subgroups of
Rational Points of Elliptic Curves ,by Rong QIU, Xian Ke ZHANG, Acta Mathematica
Sinica (English Series), 18(2002.7), No.3, 539548 (IDS Number: 579MC)
[64] LSeries and Their 2adic Valuations at s=1 Attached
toCM Elliptic Curves,by Derong Qiu and Xianke Zhang, Acta Arithmetica, 103.1(2002), 7995 (IDS Number:613VP)
[65]
Explicit Formulae for Values of Dedekind Zeta Functions of Two
Kinds of Cyclotomic Fields, by Ma Lianrong and Zhang Xianke, Advances in
Math., 31(2002.2), No.1, 9092)
[66] MordellWeil Groups and Selmer Groups of Twin Prime
Elliptic Curves, by Qiu Derong and
Zhang Xianke, Science In China,
A45(2002.11), No.11, 13721380(IDS Number:614UL)
[67] Elliptic Curves with CM by and
3adicvaluations of their Lseries,by Qiu Derong and Zhang Xianke,
Manuscripta Math. 108, 385397 (2002)( IDS Number: 586YB)
[70] Subgroups of Ideal Class Groups of Real Quadratic Algebraic Function
Fields, by Wang Kunpeng and Zhang Xianke, Science in China (Series A),
Vol.46(2003), No.3, 339345(IDS Number:698FC)
[71] Subgroups of Class Groups of Algebraic Quadratic
Function Fields, by Wangkunpeng and Zhang Xianke, Chin. Ann. Math.,
24B:3(2003), 315322
[72] Unit Group of Algebraic Real Quadratic Function
Fields, by Wang Kunpeng and Zhang Xianke, J. of Graduate School of the
Chinese Academy of Sciences, 20(20036), No.2, 139145.
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