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