Jungkai Alfred Chen

Professor
Department of Mathematics
National Taiwan University
Taipei, Taiwan
　
Old Math Bldg. 108
TEL: 886-2-33662848
email: jkchen@math.ntu.edu.tw
 
　
last updated: Dec. 15, 2009
　
　
Course / Algebraic Geometry in Taiwan / Math Links / My Works

Courses

Fall, 2009: Algebra I

previous courses pages

Fall, 2003: Advanced Algebra I, Algebraic Surfaces I

Spring, 2004: Advanced Algebra II, Algebraic Surfaces II

Fall, 2004: Riemann Surfaces, Algebraic Geometry and Arithmetic Geometry 

Spring, 2005: Algebraic Curves, Topics in Algebraic Geometry and Number Theory

Fall, 2005: Intro. Alg. Geom, (hw, notes), Topics in algebraic geometry,

Spring, 2006: Complex Algebraic Geometry, Topics in algebraic geometry II

Fall, 2006: Advanced Algebra I, Topics in algebraic geometry III

Spring, 2007: Advanced Algebra II, Topics in algebraic geometry IV

Fall, 2008: Undergraduate Algebra I, Topics in Algebraic Geometry I

Spring, 2009: Undergraduate Algebra II

 

Algebraic Geometry in Taiwan

Upcoming Algebraic Geometry seminars and meetings:

Workshop on Higher Dimensional Algebraic Geometry, 2010

             Mar. 29, 2010- Apr. 2, 2010

NCTS-TPE/TIMS: Seminar in Algebraic Geometry

NCTS-TPE: Student Seminar in Algebraic Geometry

 

Past events:

    Higher Dimensional Algebraic Geometry

            Mar. 22, 2004- Mar. 28, 2004

    2004 NCTS Summer School and Workshop in Algebraic Geometry

            Jun. 22, 2004- Jul. 9, 2004

    2005 NCTS Summer School in Algebraic Geometry

            Aug. 8, 2005- Aug. 18, 2005

    Summer Course in Homological Algebra and D-module

            Aug. 8, 2005- Sep. 2, 2005

    Algebraic Geometry Days:

            Nov. 28, 2005 @  Nat'l Taiwan Univ.

            Dec. 19, 2005 @  Nat'l Central Univ.

            Jan. ?, 2006

2007 Winter Seminar in Algebraic Geometry

          Jan. 26, 2007- Feb. 9, 2007

Workshop in Higher Dimensional Algebraic Geometry

          Mar. 27, 2007- Mar. 31, 2007

2007 Seminar in Algebraic Geometry

          Mar. 8, 2007- May. 3, 2007

2007 NCTS Mini-Course in Algebraic Geometry

      Jul. 3, 2007- Jul. 12, 2007

　

     CTS/TPE at NTU, Taipei,

     NCTS Hsin-Chu

     Other places:

        AMS-TMS joint meeting. TongHai University, Taichung.

            Dec. 14, 2005 (Wed.)- Dec. 18, 2005 (Sun.) 

　

　

Math Links

Here are some useful links:

AMS MathSciNet*, review of journal articles and books.

　

ArXiv preprint server, preprints.

　

J-Stor*, which includes fulltext journal articles from:

    Ann. Math., Tran. AMS., Proc. AMS., Amer. J. Math.

　

Numdam=Numérisation de documents anciens mathématiques, which includes:

    Publ. Math. IHES, Bull. SMF, Mem. SMF, Ann. Sci. Ecole. Nor. Sup, Ann. Inst. Four.

　

GDZ=Göttinger Digitalisierungs-Zentrum, which includes:

    Invent. Math., Math. Ann. Math. Zeit.

　

Project Euclid, includes:

    Comm. Math. Phy. (1965-1996), Nagoya Math. J. Pac. J. Math.

    and some partially open journals.

   

*: Accessible only if you or your institute have current subscription.

　

　

My Works

　

  I'm now a professor in Natioanl Taiwan University. I worked in National Chung Cheng University before I moved to Taipei in 2003. I serve as a member of some committee of

Taida Institue of Mathematical Sciences (TIMS) and Center for Theoretic Science (CTS).

　

My publications:

 

1.  J. A. Chen, On genera of smooth curves in higher dimensional varieties, Proc. Amer. Math. Soc, 125,(1997) 2221-2225. arXiv 9605008

2.  J. A. Chen, C. D. Hacon, Characterization of abelian varieties, Inventiones Mathematicae, 143, (2001), 435-447. arXiv 9903184

3.  J. A. Chen, C. D. Hacon, Pluricanonical maps of varieties of maximal Albanese dimension, Math. Ann. 320, (2001), 367-380. arXiv 0005187

 4.  J. A. Chen, C. D. Hacon Linear series of  irregular varieties. Algebraic geometry in East Asia (Kyoto, 2001), 143--153, World Sci. Publ., River Edge, NJ, 2002.

5.  J.A. Chen, C. D. Hacon, On algebraic fiber spaces over varieties of maximal Albanese dimension, Duke Math. Jour., 111, (2002), 159-175. arXiv 0011042

6.  J.X. Cai, J.A.Chen, A note on characterizations of Abelian varieties by topological invariants, Manu. Math., 112, (2003) 15-19.

7.  J.A. Chen, C. D. Hacon, On the irregularity of the image of the Iitaka fibration, Comm. Alg., 32, (2004), 203-215.

8.  J.A. Chen, C. D. Hacon, Varieties with P3=4 and q=dim X, Ann. Sc. norm. super. Pisa, V, vol. III. (2004), 399-425. arXiv 0308195

9.  J.A. Chen, M. Chen, D.Q. Zhang, A nonvanishing theorem for Q-divisors on surfaces, J. Algebra.,293 (2005), 363-384. arXiv 0504314

10.  J.A. Chen, C. D. Hacon, An example of a surface of general type with pg=q=2 and KX2=5, Pacific Jour. Math., 233, (2006), 219-228.

11. J. A. Chen, M. Chen, D.Q. Zhang, The 5-canonical system on 3-folds of general type, J. Reine Angew. Math., 603, (2007), 165-181. arXiv 0512617

12. J.A. Chen, C.D. Hacon, Pluricanonical systems on irregular 3-folds of general type, Math. Zeit, 255, (2007), 343-355.

13 J. A. Chen, M. Chen, On projective threefolds of general type. Elec. Res. Announc. Math. Sci., 14, (2007), 69-73.

14. F. Campana, J. A. Chen, T. Peternell, On strictly nef divisors, Math. Ann., 342, (2008), 565-585  arXiv 0511042

15. J.A. Chen, M. Chen, The canonical volume of threefolds of general type with X<1, J. London Math. Soc., 78, (2008), 693-706. arXiv 0704.1702

16. J. A. Chen, M. Chen, An optimal boundedness on weak $\bQ$-Fano threefolds, Adv. Math., 219, (2008), 2086-2104. arXiv 0712.4356

17. J. A. Chen, M. Chen, Explicit birational geometry of threefolds of general type,  arXiv 0706.2987

18. J. A. Chen, C. D. Hacon, On Ueno’s Conjecture K, Math. Ann., 345, (2009), 287-296. arXiv 0802.1060.

19. J. A. Chen, C. D. Hacon, On the geography of threefolds of general type, J. Alg., 321, (2009), 2500-2507. arXiv 0802.0884.

20. J. A. Chen, M. Chen, Explicit birational geometry of threefolds of general type I,  Ann. Sci. Ecole Norm. Sup., to appear. arXiv 0810.5041

21. J. A. Chen, M. Chen, Explicit birational geometry of threefolds of general type II,  arXiv 0810.5044

22. J. J. Chen, J. A. Chen, M. Chen, On weighted complete intersections. Jour. Alg. Geom, to appear. arXiv  0908.1439

23. J. A. Chen, C.D. Hacon, Factoring $3$-fold flips and  divisorial contractions to curves. arXiv 0910.4209