Jungkai Alfred Chen

Chair
Professor

Department
of Mathematics

National
Taiwan University

Taipei,
Taiwan

Astro-Math Bldg. 508

TEL: 886-2-33662836

email: jkchen at ntu dot edu dot tw

last updated: Sep. 13, 2021

Algebraic Geometry
in East Asia, Online Seminar

Details can be
found here

Laboratory of
Birational Geometry

Details can be
found here

Algebraic Geometry
in Taiwan

Please refer to
the page of algebraic
geometry program in NCTS

Math Links

Here are some
useful links:

AMS MathSciNet*: review of
articles in journal and proceedings.

J-Stor*;

Numdam=Numérisation de documents anciens mathématiques;

GDZ=Göttingen
Digitalisierungszentrum;

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

About Me:

I got my Ph.D, in 1997 from UCLA under the supervision of Robert Lazarsfeld. Since then, I have been working in Taiwan for more than two decades. I was involved in various academic services, including: Chairman of the Panel of National Science Council, President of Taiwan Mathematical Society, Chairman of the Department of Math of NTU. Since 2015, I serve as the Director of NCTS (National Center for Theoretical Sciences), Mathematics Division.

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 p _{g}=q=2 and K_{X}^{2}=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., 43 (2010), 365-394.. arXiv
0810.5041

21. J. A. Chen, M. Chen, *Explicit birational geometry of threefolds of general type II,* Jour.Diff.
Geom, 86 (2010), 237-271, arXiv
0810.5044

22. J. J. Chen, J. A. Chen, M. Chen, *On weighted complete intersections.*
Jour. Alg. Geom, 20, (2011), 239-262. arXiv 0908.1439

23. J. A. Chen, C.D. Hacon,* Factoring $3$-fold flips and divisorial
contractions to curves.* Jour. Reine Angew. Math.,
657, (2011), 173-197, arXiv 0910.4209

24. J. A. Chen, C. D. Hacon,
*Kodaira** dimension of irregular varieties*,
Invent. Math. 186, (2011), 481-500, arXiv 1008.2404

25. J.A, Chen, O. Debarre,
Z. Jiang, *Varieties with vanishing
holomorphic Euler characteristic*, Jour. Reine Angew.
Math., 691, (2014), 203-227, arXiv 1105.3418

26. J.A. Chen,* Factoring threefold divisorial contractions to points*, Ann. Scuola Norm. Sup. Pisa, V, vol. XIII. (2014), 435-463, arXiv 1106.1705

27. J.A. Chen, *Explicit resolution of three dimensional terminal singularities*, in
Minimal Models and Extremal Rays, Proceedings of the conference in honor of Shigefumi Mori's 60th birthday, Advanced Studies in Pure
Mathematics. 2016. arXiv 1310.6445

28. J.A. Chen, *Three dimensional divisorial contractions*, Algebraic Geometry in
East Asia, Taipei 2011, Advanced Studies in Pure Mathematics. 65, 2016 1-25

29. J.A. Chen, M. Chen, Z. Jiang, *On 6-canonical maps of irregular threefolds of general type*, Math. Res Lett. 20 (2013),
33-39, arXiv 1206.2804

30. J.A. Chen, M. Chen,* Explicit birational geometry of 3-folds and 4-folds of general type,
III*, Comp. Math, 151 (2015), 1041-1082.

31. J.A. Chen,* Birational maps of 3-folds,* Taiwanese Jour. Math. 19, (2015),
1619-1642.

32. J.A. Chen, M. Chen, *The Noether
inequality for Gorenstein minimal 3-folds,* Comm.
Anal. Geom, 23 (2015).

33. C. Birkar,
J.A. Chen, *Varieties fibered over abelian
varieties with fibers of log general type,* Adv. Math. 270, (2015), 206-222.

34. J.A. Chen, Z. Jiang, Z.Y. Tian, *Irregular varieties with geometric genus
one, theta divisors, and fake tori,* Adv. Math, 320 (2017) 361-390.

35. J.A. Chen, Z. Jiang, *Positivity in variety of maximal Albanese
dimension*, Jour. Reine Angew. Math., 736 (2018),
225-254.

36. J.A.
Chen, M. Chen,* On explicit aspects of
pluricanonical maps of projective varieties,* Proc. Int. Cong. of Math.
2018, Rio de Janeriro, vol 2, 653-370

37. J. A. Chen, C.J. Lai, *Varieties of general type with small volumes*,
Intern. Jour. Math. 31 (2020), 2050005

38. J.A. Chen, M. Chen, C. Jiang, *The Noether
inequality for algebraic threefolds (with an appendix
by János Kollár)*, Duke
Math. Jour, 169, No. 9 (2020), 1603-1645.

39. J.J. Chen, J.A. Chen, M. Chen, Z.Jiang, *On quint-canonical birationality of irregular threefolds*,
Proc. London Math. Soc., (3) 00 (2020) 1–25

40. J.A. Chen, M. Chen, C. Jiang,* Addendum to “The Noether
inequality for algebraic threefolds”*, Duke Math.
Jour, 169, No. 11 (2020), 2199-2204

41. P. Bangere,
J.A. Chen, F. Gallego, *On higher
dimensional extremal varieties of General type*, preprints, arXiv 2101.03411