Jing Yu  


Tsing-Hua Professor of Natural Sciences

Department of Mathematics, National Tsing-Hua University

Center Scientist, National Center for Theoretical Sciences and

National Chair Professor, Minister of Education

                                                                    

 

                    Activities

              Courses

                    Preprints

              Seminars

              Talks

              Vitae.pdf
                                                                             
                  
            
Last updated, Aug. 3, 2004

 

 

EDUCATION.

B.A. National Taiwan Normal University, 1972

M.A. Yale University, 1977

M.Ph. Yale University, 1978

Ph.D. Yale University, 1980

 

PUBLICATIONS.

 

  [1]

A Cuspidal  class number formula for the modular curves X(N),  Mathematische  Annalen 252 (1980), 197-216.

  [2]

Irrationality of lattices in finite characteristic, Mathematika 29 (1982), 227-230.

  [3]

Transcendental numbers arising from Drinfeld modules, Mathematika 30(1983), 61-66.

  [4]  

Transcendence theory over function fields, Duke Mathematical Journal 52 (1985), 517-527.

  [5]

A six exponentials theorem in finite characteristic, Mathematische Annalen 272 (1985),  91-98.

  [6]

Transcendence and Drinfeld modules, Inventiones mathematicae 83 (1986),  507-517.

  [7]

Transcendence and Drinfeld modules : several variables, Duke Mathematical  Journal  58 (1989), 559-575.

  [8]

On Periods and quasi-periods of Drinfeld modules, Compositio Mathematica 74 (1990), 235--245.

  [9]

Transcendence and special zeta values in characteristic p, Annals of Mathematics 134 (1991), 1--23.

[10]

Transcendence in finite characteristic, The Arithmetic of Function Fields, ed. by D. Goss, D.R.Hayes & M.I.Rosen, de Gruyter 1992, 253--264.

[11]

Analytic homomorphisms into  Drinfeld modules, Annals of Mathematics 145 (1997), 215--233.

[12]

A note on a geometri analogue of Ankeny-Artin-Chowla's conjecture, (with Jiu-Kang Yu), Contemporary Math. A.M.S. 210 (1998), 100 -105. 

[13]

On class number relations over function fields, (with Julie T.-Y. Wang), Journal of Number Theory 69 (1998), 181--196.

[14]

On Singular Moduli of Drinfeld Modules in Characteristic Two, (with L.-C. Hsia), Journal of Number Theory 69 (1998), 80--97.   

[15]

On characteristic polynomials of geometric Frobenius associated to Drinfeld modules, (with L.-C. Hsia), Compositio Mathematica 122 (2000), 261--280.

[16]

Distribution of units of real quadratic number fields, (with Y.-M. J. Chen and Y. Kitaoka), Nagoya J. of Mathematics 158 (2000), 167--184.

[17]

On a density problem for elliptic curves over finite fields, (with Y.-M. J. Chen), Asian J. of Mathematics 4 (2000), 737--756. 

[18]

On arithmetic of hyperelliptic curves, Aspects of Mathematics, HKU 2001, 395—415.

[19]

On Artin's conjecture for rank one Drinfeld modules, (with C.-N. Hsu), Journal of Number Theory, 88 (2001), 157--174.

[20]

On a theorem of Bilharz, preprint 2001.

[21]

On primitive roots of one dimensional tori: the function field case, (with Y.-M. J. Chen and Y. Kitaoka), to appear in Mathematishe Zeitschrift 243(2003), 201-215.

[22]

On primitive roots for Carlitz module, (with W.-C. Yao),  Journal of Number Theory 100 (2003), 88--103. 

[23]

On the density of 4-ranks of tame kernels for quadratic fields, (with Q Yue), J. reine angew. Math. 567 (2004), 151—173.

[24]

Mass formula of supersingular Drinfeld modules, (with C.-F. Yu), C. R. Acad. Sci. Paris, Ser. I 338 (2004), 905—908.

[25]

On primitive roots of elliptic curves with complex multiplications, (with Y.-M. J. Chen ), preprint 2003.