Si Duc Quang
Research interests
Complex geometry
Complex analysis
Number theory.
Education
June 14, 2013. Habilitation a diriger des recherches, Université de Bretagne Occidentale, France.
2007 – 2010. Ph. D in Mathematics, Graduate School of Mathematical Sciences of The University of Tokyo, Japan.
2006 – 2007. Research student in Mathematics, Graduate School of Mathematical Sciences of The University of Tokyo, Japan.
2004 – 2006. Master in Mathematics, Hanoi National University of Education, Vietnam.
1999 – 2003. Bachelor in Mathematics, Hanoi National University of Education, Vietnam.
1996 – 1999. Pupil of Hoang Van Thu gifted high school of Hoabinh province.
Honors and awards
Postdoc Fellowship of Oberwolfach - Leibniz-Fellows, Mathematisches
Forschungsinstitut Oberwolfach, Germany., September, 2011- November, 2011.
Scholarship of Japanese Government (Monbukagakusho), Tokyo, Japan, October, 2006-March, 2010
Second Prize in the Vietnam National Mathematical Olympiad for students of high school, 1999
Publications
1. (with Nguyen Doan Tuan) On the relation between curvature, diameter and
volume of a complete Riemannian manifold, Ukrainian Math. J., Vol. 56, No. 11, (2004), 1873 – 1883.
2. (with Do Duc Thai) Uniqueness problem with truncated multiplicities of meromorphic mappings in several complex variables for moving targets, Inter. J. Math., Vol.16, No. 8 (2005), 903-940.3. (with Do Duc Thai) Uniqueness problem with truncated multiplicities of meromorphic mappings in several complex variables, Inter. J. Math., Vol. 17, No. 10 (2006), 1223–1257
4. (with Tran Van Tan) Uniqueness problem of meromorphic mappings with few targets, Ann. Univ. Mariae Curie – Skłodowska, Vol. LXII, sec. A (2008), 123 – 142.5. (with Do Duc Thai) Second main theorem with truncated counting function in several complex variables for moving targets, Forum Math., Vol. 20 (2008), 163–179.
6. (with Tran Van Tan) Normal families of meromorphic mappings of several complex variables into CPn for moving hypersurfaces, Ann. Pol. Math., Vol. 94, No. 2 (2008), 97 – 110.7. (with Tran Van Tan and Bui Khanh Trinh). A uniqueness theorem for meromorphic mappings with a small set of identity, Kodai Math. J., Vol. 31 (2008), 404–413.
8. (with Do Duc Thai) Cartan-Nochka theorems with truncated counting function for moving targets, Acta Math. Vietnamica, Vol. 35, No. 1 (2010), 173 - 197.
9. (with Do Duc Thai and Pham Hoang Ha) Unicity theorems with truncated multiplicities of meromorphic mappings in several complex variables sharing small ideltical sets for moving targets, Intern. J. Math., Vol. 21, No. 9 (2010), 1095-1120.
10. Unicity of meromorphic mappings sharing a few hyperplanes, Ann. Polon. Math., Vol. 102, No. 3 (2011), 255-270.
11. (with Gerd Dethloff and Tran Van Tan) A uniqueness theorem for meromor-phic mappings with two families of hyperplanes, Proc. Amer. Math. Soc., Vol. 140 (2012), 189-197.12. Extension and normality of meromorphic mappings into complex projective varieties, Ann. Polon. Math., Vol. 104, No. 3 (2012), 279-292.
13. Nevanlinna theory for holomorphic curves from punctured disks into semi-Abelian varieties, Intern. J. Math., Vol. 23, No. 5 (2012), 1250050, 12p. 14. (with Ha Huong Giang and Le Ngoc Quynh) Uniqueness theorems for meromorphic mappings sharing few hyperplanes, J. Math. Anal. Appl., Vol. 393, No. 2 (2012), 445-456.15. Second main theorem and unicity theorem for meromorphic mappings sharing moving hypersurfaces regardless of multiplicity, Bull. Sci. Math., Vol. 136 (2012), 399-412.
16. Unicity of meromorphic functions sharing some small functions regardless of multiplicities, Intern. J. Math., Vol. 23 No. 9 (2012), 1250088, 18p.17. A Finiteness theorem for meromorphic mappings with few hyperplanes, Kodai Math. J., Vol. 35 (2012), 463-484..
18. Extension of holomorphic mappings for several moving hypersurfaces, Ukrainian Math. J., Vol. 64, No 3 (2012), 441-455.19. Algebraic dependences of meromorphic mappings sharing few moving hyperplanes, Ann. Polon. Math., Vol 108 (2013), 61-73.
20. (with Do Duc Thai and Do Phuong An) The second main theorem for meromorphic mappings into a complex projective space, Acta Mathematica Vietnamica,Vol 38 (2013), 187-205.
21. Two mermorphic functions share some pairs of small functions, Compl. Anal. Oper. Th. Vol. 7, No. 4 (2013), 1357-1370.
22. Some extensions of the four values theorem of Nevanlinna-Gundersen, Kodai Math. J., Vol. 36 (2013), 579-595.
23. (with Pham Duc Thoan and Pham Viet Duc) Algebraic dependence and unicity theorem with a truncation level to 1 of meromorphic mappings sharing moving targets, Bull. Math. Soc. Sci. Math. Roumanie, Vol. 56 (104) No. 4 (2013) 513-526.24. (with Do Phuong An) Unicity of meromorphic mappings sharing few moving hyperplanes, Vietnam Journal of Mathematics, Vol 41, Issue 4 (2013) 383-398.
25. (with Le Ngoc Quynh) Two meromorphic mappings sharing 2n + 2 hyperplanes regardless of multiplicity, J. Math. Anal. Appl., Vol. 410, No. 2 (2014), 771-782.26. (with Le Ngoc Quynh) Two meromorphic functions sharing some pairs of small functions regardless of multiplicities, Internat. J. Math., Vol. 25, No. 2 (2014) 1450014 (16 pages) DOI: 10.1142/S0129167X14500141
27. Second main theorems and unicity of meromorphic mappings with moving hypersurfaces, Bull. Math. Soc. Sci. Math. Roumanie, Vol 57 (105) No. 3 (2014) 279-300.28. Finiteness problem for meromorphic mappings sharing n+3 hyperplanes of Pn(C), Ann. Polon. Math., Vol. 112, No. 2 (2014) 195-215.
29. Finiteness problem of meromorphic functions sharing four small functions regardless of multiplicities, Internat J. Math., Vol. 25, No. 11 (2014) 1450102 (20 pages) DOI: 10.1142/S0129167X1450102X30. (with Le Ngoc Quynh) Algebraic dependences of meromorphic mappings sharing few hyperplanes without counting multiplicity, Kodai Math. J. Vol. 38 (2015) 97-118.
31. (with Ha Huong Giang) Big Picard theorem for meromorphic mappings with moving hyperplanes in Pn(C), Ukrainian Mathematical Journal, Volume 66, Issue 11 (2015) 1742-1755.32. (with Ha Huong Giang) A Finiteness theorem for meromorphic mappings sharing few moving hyperplanes, Vietnam J. Math., Volume 43, Issue 4 (2015), 725-742.
33. Second main theorems for meromorphic mappings intersecting moving hyperplanes with truncated counting functions and unicity problem, Abh. Math. Semin. Univ. Hambg. 86 (2016) 1-18.
34. (with Le Ngoc Quynh) Two meromorphic mappings having the same inverse images of moving hyperplanes, Complex Var. Elliptic Equat. 61 (2016) 1554-1565.
35. Second main theorems with weighted counting functions and algebraic dependence of meromorphic mappings, Proc. Amer. Math. Soc. 144 (2016), 4329-4340.36. (with Do Phuong An) Second main theorem and unicity of meromorphic mappings for hypersurfaces of projective varieties, Acta Mathematica Vietnamica 42 (2017) 455-470.
37. (with Nguyen Thi Quynh Phuong and Nguyen Thi Nhung) Non-integrated defect relation for meromorphic maps from a Kahler manifold intersecting hypersurfaces in subgeneral, J. Math. Anal. Appl. 452 (2017) 1434-1452. 38. (with Do Phuong An) Second main theorems for meromorphic mappings with moving hypersurfaces and uniqueness problem, Comput. Methods Funct. Theory 17 (2017) 445-461.39. (with Nguyen Van An) Two meromorphic functions sharing four pairs of small functions, Bull. Korean Math. Soc. 54 (2017) 1159-1171.
40. Schmidt’s subspace theorem for moving hypersurfaces, Intern. J. Number Theory 14 (2018) 103-121.41. Degeneracy and finiteness theorems for meromorphic mappings in several complex variables, To appear in Chinese Annals of Mathematics, Series B, DOI: 10.1007/s11401-018-0001-z.
42. Degeneracy second main theorems for meromorphic mappings into projective varieties with hypersurfaces, To appear in Transactions of the American Mathematical Society, DOI: 10.1090/tran/743343. (with Tran An Hai) Two meromorphic functions on annuli sharing some pairs of values, Indagationes Math. 29 (2018) 556-579.
44. (with Tran An Hai, Nguyen Thi Thanh Hien and Ha Huong Giang) Meromorphic functions having the same inverse images of four values on annuli, Bull. Iran. Math. Soc. 44 (2018) 19-41.45. (with Dau Hong Quan) Weak normal and Quasinormal families of holomorphic curves, Archivum Mathematicum 54(2018) 153-163, DOI: 10.5817/AM2018-3-153.
46. Second main theorem for meromorphic mappings with moving hypersurfaces in subgeneral position, J. Math. Anal. Appl. 465 (2018) 604-623.
47. (with Tran An Hai and Ha Huong Giang) Meromorphic functions on annuli sharing few small functions with truncated multiplicities, Complex Anal. Oper. Theory (2018). https://doi.org/10.1007/s11785-018-0808-3.
48. (with Do Duc Thai) Non-integrated defect relation for meromorphic maps from a Kahler manifold into a projective algebraic variety, To appear in Mathematische Zeitschrift.
49. A generalization of the subspace theorem for higher degree polynomials in subgeneral position, To appear in the International Journal of Number Theory (2018).
50. Second main theorems for meromorphic mappings and moving hyperplanes with truncated counting functions, To appear in Proceedings of the American Mathematical Society (2018) DOI: https://doi.org/10.1090/ proc/14377.