Nguyen Quoc Thang

Full Professor, Doctor Department of Number Theory Research interests: Arithmetic, Geometry of algebraic groups

Address
Office: Building A6, Room 404
Tel: +84 (02)4 38361121 Ext 404
Email: nqthang AT math.ac.vn

Education: 

• Bachelor Degree: 1975 – 1980, Belorussian State University, Minsk, Belarus
• PhD 1991 – 1994, University of Waterloo, Waterloo, Ontario, Canada
• Associate Professorship: promoted: 2002
• Full Professorship:  promoted  2010

Specialized fields:  Arithmetic, Geometry and Cohomology of algebraic groups and related questions.

Positions: 

• Postdoctoral Fellow: McMaster University, Hamilton, Ontario Canada (1994-1996)
• Lady Davis Postdoctoral Fellow: Israel Institute of technology - Technion, Haifa, Israel (1997-1998)
• Regular Research Associate, I. C. T. P., 2000 - 2006
• Researcher: Max Plank Institut fur Mathematik, Bonn, 1995, 2006
• Researcher: I.H.E.S, Bures sur Yvettes, 2004, 2008
• Researcher: ĐH. Essen, Germany, 2008
• Senior Researcher : VIASM, 2012
  
  

Research areas: Number Theory,  Commutative and Associative Algebra, Algebraic  Geometry,  Homological Algebra,  Fields and Galois Theory, Group Theory  (Lie , Algebraic,  Discrete Groups)

PUBLICATIONS

List of publications in MathSciNet

 

List of recent publications

1	Ngô Thị Ngoan, Nguyen Quoc Thang, 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).
2	Zev Rosengarten, Nguyễn Duy Tân, Nguyen Quoc Thang, 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).
3	Nguyen Quoc Thang, 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).
4	Nguyen Quoc Thang, 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).
5	Nguyen Quoc Thang, 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).
6	Nguyen Quoc Thang, 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).
7	Nguyen Quoc Thang, 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).
8	Nguyen Quoc Thang, 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).
9	Ngô Thị Ngoan, Nguyen Quoc Thang, 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.
10	Nguyen Quoc Thang, On Galois cohomology of connected reductive groups and Kottwitz exact sequence, Bulletin des Sciences Mathématiques, 151 (2019), Pages 66-138, SCI(-E), Scopus.
11	Ngô Thị Ngoan, Nguyen Quoc Thang, 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
12	Ngô Thị Ngoan, Nguyen Quoc Thang, 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.
13	Nguyen Quoc Thang, 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.
14	Ngo Thi Ngoan, Nguyen Quoc Thang, 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.
15	Nguyen Quoc Thang, 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
16	Ngo Thi Ngoan, Nguyen Quoc Thang, 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.
17	Dao Phuong Bac, Nguyen Quoc Thang, On the topology on group cohomology of algebraic groups over complete valued fields, Journal of Algebra 399 (2014), 561–580, SCI(-E); Scopus.
18	Nguyen Quoc Thang, 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.
19	Dao Phuong Bac, Nguyen Quoc Thang, 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.
20	Nguyen Quoc Thang, 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.
21	Nguyen Quoc Thang, On galois cohomology of semisimple groups over local and global fields of positive characteristic, II,  Mathematische Zeitschrift, 270 (2012), 1057 -- 1065, SCI(-E); Scopus.
22	Nguyen Quoc Thang, 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.
23	Nguyen Quoc Thang, Nguyễn Duy Tân, Galois cohomology of unipotent algebraic groups  and field extensions,  Communications in Algebra  39 (2011), 3923 - 3938, SCI(-E); Scopus.
24	Nguyen Quoc Thang, Equivalent conditions for (weak) corestriction principle for non-Abelian etale cohomology of group schemes, Vietnam Journal of Mathematics, 38 (2010), 89 -- 116, Scopus.
25	Nguyen Quoc Thang, 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.
26	Nguyen Quoc Thang, 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.
27	Nguyen Quoc Thang, 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.
28	Nguyen Quoc Thang, On Galois cohomology of semisimple groups over local and global fields of positive characteristic, Math. Z. 259 (2008), 457 - 467.
29	Nguyen Quoc Thang, 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.
30	Dao Phuong Bac, Nguyen Quoc Thang, Relative versions of theorems of Bogomolov and Sukhanov over perfect fields, Proc. Japan Acad. Ser. A Math. Sci. 84 (2008), 101 - 106.
31	Nguyen Quoc Thang, 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.
32	Nguyen Quoc Thang, Corestriction principle for non-abelian cohomology of reductive group schemes over arithmetical rings, Proc. Japan Acad. Ser. A Math. Sci. 82 (2006), 147 - 151.
33	Nguyen Quoc Thang, Dao Phuong Bac, Some rationality properties of observable groups and related questions, Illinois J. Math. 49 (2005), 431 - 444.
34	Nguyen Quoc Thang, 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.
35	Nguyen Quoc Thang, Nguyễn Duy Tân, On the surjectivity of localization maps for Galois cohomology of unipotent algebraic groups over fields. Comm.Algebra 32 (2004), 3169 - 3177.
36	Nguyen Quoc Thang, Weak corestriction principle for non-abelian Galois cohomology, Homology, Homotopy Appl. 5 (2003), 219 - 249.
37	Nguyen Quoc Thang, Zariski dense subgroups of semisimple algebraic groups with isomorphic p-adic closures, J. Lie Theory 13 (2003), 13 - 20.
38	Nguyen Quoc Thang, Weak approximation, Brauer and R-equivalence in algebraic groups over arithmetical fields. II. J. Math. Kyoto Univ. 42 (2002), 305 - 316.
39	Nguyen Quoc Thang, On corestriction principle in non abelian Galois cohomology over local and global fields, J. Math. Kyoto Univ. 42 (2002), 287 - 304.
40	Nguyen Quoc Thang, 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.
41	Nguyen Quoc Thang, A note on finitely generated nilpotent groups, Expo. Math. 19 (2001), 3 - 23.
42	Nguyen Quoc Thang, Weak approximation, Brauer and R-equivalence in algebraic groups over arithmetical fields. J. Math. Kyoto Univ. 40 (2000), 247 - 291.
43	Nguyen Quoc Thang, Number of connected components of real adjoint groups. Comm. Algebra 28 (2000), 1097 - 1110.
44	Nguyen Quoc Thang, On the rationality of almost simple algebraic groups. Int. J. Math. 10 (1999), 642 - 665.
45	Nguyen Quoc Thang, A remark on pattern problems for matrix groups. Linear Algebra Appl. 292 (1999), 179 - 185.
46	Nguyen Quoc Thang, Rationality of almost simple algebraic groups. J. Math. Kyoto Univ. 39 (1999), 185 - 202.
47	Nguyen Quoc Thang, Corestriction principle in non-abelian Galois cohomology. Proc. Japan Academy 74 (1998), 63 - 67.
48	Nguyen Quoc Thang, Weak approximation, R-equivalence and Whitehead group, In: Algebraic K-Theory. Fields Inst. Comm. 16 (1997), 35 - 44.
49	D. Ž. Đoković, Nguyen Quoc Thang, Lie groups with dense exponential images. Math. Z. 225 (1997), 35 - 47.
50	Nguyen Quoc Thang, Complementary note on similitudes of forms. J. Math. Sciences Univ. Tokyo 3 (1996), 445 - 447.
51	Nguyen Quoc Thang, On weak approximation in algebraic groups and varieties defined by a system of forms. J. Pure and App. Algebra 113 (1996), 67 - 90.
52	Nguyen Quoc Thang, D. Đokovíc , Surjective maps between root systems with zero. Canadian Math. Bull. 39 (1996), 25 - 34.
53	Nguyen Quoc Thang, Some local-global principles in the arithmetic of algebraic groups over real function fields. Math. Z. 221 (1996), 1 - 19.
54	D. Z. Dokovic, Nguyen Quoc Thang, On the exponential map of almost simple real algebraic groups. J. Lie Theory 5 (1995), 275 - 291.
55	Nguyen Quoc Thang, Stable conjugacy of connected subgroups of real algebraic groups. Comm. Algebra 23 (1995), 2079 - 2090.
56	Nguyen Quoc Thang, Hermitian forms over division algebras over real function fields. Corrigendum. Manuscripta Math. 82 (1994), 445 - 447.
57	Nguyen Quoc Thang, On some new local-global principles over a real function field. Commun. Algebra 22 (1994), 2205 - 2219.
58	Nguyen Quoc Thang, D. Đokovíc, Conjugacy classes of maximal tori in simple real algebraic groups and applications. Canadian J. Math. 46 (1994), 699 - 717.
59	Nguyen Quoc Thang, Hermitian forms over division algebras over real function fields. Manuscripta Math. 78 (1993), 9 - 35.
60	Nguyen Quoc Thang, On multiplicators of hermitian forms of type Dn. J. Fac. Sci. Univ. Tokyo, Sec. IA, 39 (1992), , 33 - 42.
61	Nguyen Quoc Thang, On the weak approximation in algebraic groups. Contemp. Mathematics (AMS), 131 (1992) (Part 1), 423 - 426.
62	Nguyen Quoc Thang, A note on the Hasse principle. Addenda. Acta Arithmetica 59 (1991), 145 - 147.
63	Nguyen Quoc Thang, On the weak Hasse principle. Bull. Polish Acad. Sci. 39 (1991), 141 - 145.
64	Nguyen Quoc Thang, A note on the Hasse principle. Acta Arithmetica 54 (1990), 171 - 184.
65	Nguyen Quoc Thang, 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.