Nguyễn Quốc Thắng
GS. TS. NCVCC

Phòng Lý thuyết số
Hướng nghiên cứu: Số học, hình học của nhóm đại số


Liên hệ
Phòng làm việc: 404, Nhà A6
Điện thoại: +84 (02)4 38361121 Ext 404
Email: nqthang AT math.ac.vn

Lý lịch khoa học

  • Đại học: 1975 – 1980,Đại học Tổng hợp Beloruss, Minsk, Belarus
  • Tiến sĩ:1991 – 1994,Đại học Waterloo, Waterloo, Ontario, Canada
  • Phó giáo sư: 2002
  • Giáo sư: 2010


Chuyên ngành: Số học, hình học, và đối đồng điều của nhóm đại số và các vấn đề liên quan.

Các vị trí công tác đã qua

  • Nghiên cứu viên sau TS: ĐH McMaster, Hamilton, Ontario, Canada (1994-1996)
  • Nghiên cứu viên sau TS: Học Viện Công nghệ Israel-Technion, Haifa, Israel (1997-1998)
  • Nghiên cứu viên: Max Plank Institut fur Mathematik, Bonn, 1995, 2006
  • Nghiên cứu viên: I.H.E.S, Bures sur Yvettes, 2004, 2008
  • Nghiên cứu viên: ĐH. Essen, Germany, 2008
  • Nghiên cứu viên cao cấp: VIASM, 2012
  • Ban biên tập Vietnam Journal of Mathematics

Các lĩnh vực quan tâm: (các chuyên ngành): Lý thuyết Số, Đại số giao hoán và kết hợp, Hình học đại số, Đại số đồng điều, Lý thuyết nhóm (nhóm Lie, nhóm đại số, nhóm rời rạc).

DANH SÁCH CÔNG TRÌNH

Danh sách trong Mathscinet

Danh sách gần đây
1Ngo Thi Ngoan, Nguyễn Quốc Thắng, On some local-global principles for isotropy and splitting of algebraic groups over global fields, Kodai Mathematical Journal, 48(1): 72-100 (March 2025, (SCI-E, Scopus).
2Nguyễn Quốc Thắng, On Brauer-Manin obstruction to the Hasse principle and weak approximation for homogeneous spaces under connected reductive groups over global fields, Atti della Accademia Nazionale dei Lincei. Rendiconti Lincei. Matematica e Applicazioni 35 (2024), no. 2, 237–309, (SCI-E, Scopus).
3Ngô Thị Ngoan, Nguyễn Quốc Thắng, On some splitting properties for algebraic groups over algebraic extensions of global fields, Rendiconti del Circolo Matematico di Palermo Series 2, Volume 73, pages 2613–2633, (2024), (SCI-E, Scopus).
4Zev Rosengarten, Nguyễn Duy Tân, Nguyễn Quốc Thắng, On the Galois and Flat Cohomology of Unipotent Algebraic Groups over Local and Global Function Fields. II., Michigan Mathematical Journal, 74(2024), no.4, 1–21 (SCI-E, Scopus).
5Nguyễn Quốc Thắng, On analogs of Cassels-Tate exact sequence for connected reductive groups and Brauer-Manin obstruction for homogeneous spaces over global function fields, Bulletin des Sciences Mathématiques, 187 (2023), Paper No. 103291, 52 pp. (SCIE-Scopus).
6Nguyễn Quốc Thắng, On some arithmetic questions of reductive groups over algebraic extensions of local and global fields, Proceedings of the Japan Academy, Series A, Mathematical Sciences, 99 (2023), No1., 1--6. (SCIE, Scopus).
7Nguyễn Quốc Thắng, A note on obstructions to weak approximation and Brauer and R-equivalence relations for homogeneous spaces over global fields, Proceedings of the Japan Academy, Ser.A, 98 (2022), 84-89, (SCI-E, Scopus).
8Nguyễn Quốc Thắng, On the Tits indices of absolutely almost simple algebraic groups over local and global fields. Journal of Pure and Applied Algebra 226 (2022), no. N9, Paper No. 107031, 42 pp (SCI-E, Scopus).
9Nguyễn Quốc Thắng, On Brauer–Manin obstructions and analogs of Cassels–Tate’s exact sequence for connected reductive groups over global function fields, Proceedings of the Japan Academy, Ser. A, Mathematical Sciences, 97(9): 67-72 (November 2021), (SCI-E, Scopus).
10Nguyễn Quốc Thắng, Tate-Shafarevich kernel, weak Brauer and R-equivalence on connected reductive groups over local and global fields, Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, v. XX (2020), No.3, pp. 1009-1070, (SCI(-E), Scopus).
11Ngô Thị Ngoan, Nguyễn Quốc Thắng, On some local–global principles for linear algebraic groups over infinite algebraic extensions of global fields, Linear Algebra and its Applications, 568 (2019), 39--83, SCI(-E), Scopus.
12Nguyễn Quốc Thắng, On Galois cohomology of connected reductive groups and Kottwitz exact sequence, Bulletin des Sciences Mathématiques, 151 (2019), Pages 66-138, SCI(-E), Scopus.
13Ngô Thị Ngoan, Nguyễn Quốc Thắng, On some Hasse principles for homogeneous spaces of algebraic groups over global fields of positive characteristic, Proceedings of the Steklov Institute of Mathematics 292 (2016), 171-184,SCI(-E); Scopus
14Ngô Thị Ngoan, Nguyễn Quốc Thắng, On some Hasse principles for algebraic groups over global fields. III. Proceedings of the Japan Academy, Series A, Mathematical Sciences, 92 (2016), 87–91, SCI(-E); Scopus.
15Nguyễn Quốc Thắng, A Norm Principle for Class Groups of Reductive Group Schemes over Dedekind Rings of Integers of Local and Global Fields, Vietnam Journal of Mathematics, 43(2015), 257-281, Scopus.
16Ngo Thi Ngoan, Nguyễn Quốc Thắng, On some Hasse principle for algebraic groups over global fields, II. Proceedings of the Japan Academy, Series A, Mathematical Sciences, 8 (2014), 107 - 112, SCI(-E), Scopus.
17Nguyễn Quốc Thắng, Dao Phuong Bac, Some topics in geometric invariant theory over non-algebraicaly closed fields, Handbook on Group Actions, vol. II. Inter. Press, 2014, 451 - 477
18Ngo Thi Ngoan, Nguyễn Quốc Thắng, On some Hasse principles for algebraic groups over global fields. Proceedings of the Japan Academy, Series A, Mathematical Sciences, 90 (2014), 73–78, SCI(-E), Scopus.
19Dao Phuong Bac, Nguyễn Quốc Thắng, On the topology on group cohomology of algebraic groups over complete valued fields, Journal of Algebra 399 (2014), 561–580, SCI(-E); Scopus.
20Nguyễn Quốc Thắng, On Galois cohomology of semisimple algebraic groups  over local and global fields of positive  characteristic, III, Mathematische Zeitschrift, 275 (2013), 1287 - 1315, SCI(-E); Scopus.
21Dao Phuong Bac, Nguyễn Quốc Thắng, On the topology of geometric and relative orbits for action of algebraic groups  over complete fields, Journal of Algebra, 390 (2013), 181 - 198, SCI(-E); Scopus.
22Nguyễn Quốc Thắng, Dao Phuong Bac, On the topology of relative orbits for actions of algebraic tori over local fields,  Journal of Lie Theory, 22 (2012), 1025 -- 1038, SCI(-E); Scopus.
23Nguyễn Quốc Thắng, On galois cohomology of semisimple groups over local and global fields of positive characteristic, II,  Mathematische Zeitschrift, 270 (2012), 1057 -- 1065, SCI(-E); Scopus.
24Nguyễn Quốc Thắng, On Galois cohomology and weak approximation  in connected reductive  groups over fields of positive characteristics,  Proceedings of Japan  Academy, Series A: Mathematical Sci.  87 (2011), 1 - 6, SCI(-E); Scopus.
25Nguyễn Quốc Thắng, Nguyễn Duy Tân, Galois cohomology of unipotent algebraic groups  and field extensions,  Communications in Algebra  39 (2011), 3923 - 3938, SCI(-E); Scopus.
26Nguyễn Quốc Thắng, Equivalent conditions for (weak) corestriction principle for non-Abelian etale cohomology of group schemes, Vietnam Journal of Mathematics, 38 (2010), 89 -- 116, Scopus.
27Nguyễn Quốc Thắng, D. P. Bac, On the topology of relative orbits for actions of algebraic groups over complete fields, Proceedings of the Japan Academy, Series A, Mathematical Sciences, 86 (2010), 133 -- 138, SCI(-E); Scopus.
28Nguyễn Quốc Thắng, D. P. Bac, On a relative version of a theorem of Bogomolov over perfect fields and its applications, Journal of Algebra, 324 (2010), 1259 -- 1278, SCI(-E); Scopus.
29Nguyễn Quốc Thắng, Dao Phuong Bac, On the topology on group cohomology of algebraic groups defined over local fields, In: Proc. of the International Conf. on Research and Education in Math., Univ. Putra Malaysia, Kuala-Lampur, Malaysia, (2009) 524 – 530.
30Nguyễn Quốc Thắng, On Galois cohomology of semisimple groups over local and global fields of positive characteristic, Math. Z. 259 (2008), 457 - 467.
31Nguyễn Quốc Thắng, Nguyễn Duy Tân, On the Galois and flat cohomology of unipotent algebraic groups over local and global function fields I, J. Algebra 319 (2008), 4288 - 4324.
32Dao Phuong Bac, Nguyễn Quốc Thắng, Relative versions of theorems of Bogomolov and Sukhanov over perfect fields, Proc. Japan Acad. Ser. A Math. Sci. 84 (2008), 101 - 106.
33Nguyễn Quốc Thắng, Nguyễn Duy Tân, On an analog of Serre's conjectures, Galois cohomology and defining equation of unipotent algebraic groups, Proc. Japan Acad. Ser. A Math. Sci. 83 (2007), 93 - 98.
34Nguyễn Quốc Thắng, Corestriction principle for non-abelian cohomology of reductive group schemes over arithmetical rings, Proc. Japan Acad. Ser. A Math. Sci. 82 (2006), 147 - 151.
35Nguyễn Quốc Thắng, Dao Phuong Bac, Some rationality properties of observable groups and related questions, Illinois J. Math. 49 (2005), 431 - 444.
36Nguyễn Quốc Thắng, Nguyen Duy Tan, On the Galois and flat cohomology of unipotent algebraic groups over non-perfect fields, Proc. Japan Acad. Ser. A Math. Sci. 81 (2005), 121 - 123.
37Nguyễn Quốc Thắng, Nguyễn Duy Tân, On the surjectivity of localization maps for Galois cohomology of unipotent algebraic groups over fields. Comm.Algebra 32 (2004), 3169 - 3177.
38Nguyễn Quốc Thắng, Weak corestriction principle for non-abelian Galois cohomology, Homology, Homotopy Appl. 5 (2003), 219 - 249.
39Nguyễn Quốc Thắng, Zariski dense subgroups of semisimple algebraic groups with isomorphic p-adic closures, J. Lie Theory 13 (2003), 13 - 20.
40Nguyễn Quốc Thắng, Weak approximation, Brauer and R-equivalence in algebraic groups over arithmetical fields. II. J. Math. Kyoto Univ. 42 (2002), 305 - 316.
41Nguyễn Quốc Thắng, On corestriction principle in non abelian Galois cohomology over local and global fields, J. Math. Kyoto Univ. 42 (2002), 287 - 304.
42Nguyễn Quốc Thắng, On isomorphism classes of Zariski dense subgroups of semisimple algebraic groups with isomorphic p-adic closures. Proc. Japan Acad. Ser. A Math. Sci. 78 (2002), 60 - 62.
43Nguyễn Quốc Thắng, A note on finitely generated nilpotent groups, Expo. Math. 19 (2001), 3 - 23.
44Nguyễn Quốc Thắng, Weak approximation, Brauer and R-equivalence in algebraic groups over arithmetical fields. J. Math. Kyoto Univ. 40 (2000), 247 - 291.
45Nguyễn Quốc Thắng, Number of connected components of real adjoint groups. Comm. Algebra 28 (2000), 1097 - 1110.
46Nguyễn Quốc Thắng, On the rationality of almost simple algebraic groups. Int. J. Math. 10 (1999), 642 - 665.
47Nguyễn Quốc Thắng, A remark on pattern problems for matrix groups. Linear Algebra Appl. 292 (1999), 179 - 185.
48Nguyễn Quốc Thắng, Rationality of almost simple algebraic groups. J. Math. Kyoto Univ. 39 (1999), 185 - 202.
49Nguyễn Quốc Thắng, Corestriction principle in non-abelian Galois cohomology. Proc. Japan Academy 74 (1998), 63 - 67.
50Nguyễn Quốc Thắng, Weak approximation, R-equivalence and Whitehead group, In: Algebraic K-Theory. Fields Inst. Comm. 16 (1997), 35 - 44.
51D. Ž. Đoković, Nguyễn Quốc Thắng, Lie groups with dense exponential images. Math. Z. 225 (1997), 35 - 47.
52Nguyễn Quốc Thắng, Complementary note on similitudes of forms. J. Math. Sciences Univ. Tokyo 3 (1996), 445 - 447.
53Nguyễn Quốc Thắng, On weak approximation in algebraic groups and varieties defined by a system of forms. J. Pure and App. Algebra 113 (1996), 67 - 90.
54Nguyễn Quốc Thắng, D. Đokovíc , Surjective maps between root systems with zero. Canadian Math. Bull. 39 (1996), 25 - 34.
55Nguyễn Quốc Thắng, Some local-global principles in the arithmetic of algebraic groups over real function fields. Math. Z. 221 (1996), 1 - 19.
56D. Z. Dokovic, Nguyễn Quốc Thắng, On the exponential map of almost simple real algebraic groups. J. Lie Theory 5 (1995), 275 - 291.
57Nguyễn Quốc Thắng, Stable conjugacy of connected subgroups of real algebraic groups. Comm. Algebra 23 (1995), 2079 - 2090.
58Nguyễn Quốc Thắng, Hermitian forms over division algebras over real function fields. Corrigendum. Manuscripta Math. 82 (1994), 445 - 447.
59Nguyễn Quốc Thắng, On some new local-global principles over a real function field. Commun. Algebra 22 (1994), 2205 - 2219.
60Nguyễn Quốc Thắng, D. Đokovíc, Conjugacy classes of maximal tori in simple real algebraic groups and applications. Canadian J. Math. 46 (1994), 699 - 717.
61Nguyễn Quốc Thắng, Hermitian forms over division algebras over real function fields. Manuscripta Math. 78 (1993), 9 - 35.
62Nguyễn Quốc Thắng, On multiplicators of hermitian forms of type Dn. J. Fac. Sci. Univ. Tokyo, Sec. IA, 39 (1992), , 33 - 42.
63Nguyễn Quốc Thắng, On the weak approximation in algebraic groups. Contemp. Mathematics (AMS), 131 (1992) (Part 1), 423 - 426.
64Nguyễn Quốc Thắng, A note on the Hasse principle. Addenda. Acta Arithmetica 59 (1991), 145 - 147.
65Nguyễn Quốc Thắng, On the weak Hasse principle. Bull. Polish Acad. Sci. 39 (1991), 141 - 145.
66Nguyễn Quốc Thắng, A note on the Hasse principle. Acta Arithmetica 54 (1990), 171 - 184.
67Nguyễn Quốc Thắng, On the determination of multiplicators of similitudes over local and global fields. J. Fac. Sci. Univ. Tokyo, Sec. IA 36 (1989), N0 3, 789 - 802.