Nguyen Quoc Thang
Professor. Dr.
Department of Algebra and Number Theory
Research Interest: Arithmetic, Geometry of algebraic groups
Contact
Office: 404, Building A6
Phone: +84 (02)4 38361121 Ext 404
Email: nqthang AT math.ac.vn
Scientific CV
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)
Scientific Publications
Publications
- 1. Nguyen Quoc Thang, On rational points on homogeneous spaces over local and global fields and their Brauer and R-equivalence relations. II, Proceedings of the Japan Academy, Series A, Mathematical Sciences, 102 (7), 47-56, (July 2026) (2026)
- 2. Nguyen Quoc Thang, On rational points on homogeneous spaces over local and global fields and their Brauer and R-equivalence relations. I, Proceedings of the Japan Academy, Series A, Mathematical Sciences, 102 (7), 37-46, (July 2026) (2026)
- 3. Nguyen Duy Tan, Nguyen Quoc Thang, On fields with Serre's property (F) and the finitude of Galois and flat cohomology of algebraic groups over fields, Ars Mathematica Contemporanea, v. 26 (2026), No. 3 (2026)
- 4. Ngo Thi Ngoan, Nguyen Quoc Thang, On some local-global principles for isotropy and splitting of algebraic groups over global fields, Kodai Mathematical Journal, 48(1): 72-100 (March 2025 (2025)
- 5. Nguyen 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 (2024)
- 6. Ngo Thi 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) (2024)
- 7. Zev Rosengarten, Nguyen Duy Tan, 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 (2024)
- 8. Zev Rosengarten, Nguyen Duy Tan, Nguyen Quoc Thang, On the Galois and Flat Cohomology of Unipotent Algebraic Groups over Local and Global Function Fields. II, Michigan Math. J. Advance Publication 1-21 (2023) (2023)
- 9. 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 (2023)
- 10. 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 (2023)
- 11. 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, (2022)
- 12. 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 (2022)
- 13. 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), (2021)
- 14. 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 (2020)
- 15. Ngo Thi 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 (2019)
- 16. Nguyen Quoc Thang, On Galois cohomology of connected reductive groups and Kottwitz exact sequence, Bulletin des Sciences Mathématiques, 151 (2019), Pages 66-138 (2019)
- 17. Ngo Thi 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 (2016)
- 18. Ngo Thi 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 (2016)
- 19. 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 (2015)
- 20. 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 (2014)
- 21. Nguyen Quoc Thang, Dao Phuong Bac, Some topics in geometric invariant theory over non-algebraicaly closed field, s, Handbook on Group Actions, vol. II. Inter. Press, 2014, 451 - 477 (2014)
- 22. 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 (2014)
- 23. 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 (2014)
- 24. 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 (2013)
- 25. 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 (2013)
- 26. Dao Phuong Bac, Nguyen Quoc Thang, On the topology of relative orbits for actions of algebraic tori over local fields, Journal of Lie Theory, 22 (2012), 1025 -- 1038 (2012)
- 27. Nguyen Quoc Thang, On galois cohomology of semisimple groups over local and global fields of positive characteristic, II, Mathematische Zeitschrift, 270 (2012), 1057 -- 1065 (2012)
- 28. 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 (2011)
- 29. Nguyen Duy Tan, Nguyen Quoc Thang, Galois cohomology of unipotent algebraic groups and field extensions, Communications in Algebra 39 (2011), 3923 - 3938 (2011)
- 30. 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 (2010)
- 31. Nguyen Quoc Thang, Dao Phuong 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 (2010)
- 32. Dao Phuong Bac, Nguyen Quoc Thang, On a relative version of a theorem of Bogomolov over perfect fields and its applications, Journal of Algebra, 324 (2010), 1259 -- 1278 (2010)
- 33. 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 (2009)
- 34. Nguyen Quoc Thang, On Galois cohomology of semisimple groups over local and global fields of positive characteristic, Mathematische Zeitschrift, 259 (2008), 457 - 467. (2008)
- 35. Nguyen Quoc Thang, Nguyen Duy Tan, On the Galois and flat cohomology of unipotent algebraic groups over local and global function fields I, Journal of Algebra, 319 (2008), 4288 - 4324. (2008)
- 36. Dao Phuong Bac, Nguyen Quoc Thang, Relative versions of theorems of Bogomolov and Sukhanov over perfect fields, Proceedings of the Japan Academy, Series A, Mathematical Sciences, 84 (2008), 101 - 106 (2008)
- 37. Nguyen Quoc Thang, Nguyen Duy Tan, On an analog of Serre's conjectures, Galois cohomology and defining equation of unipotent algebraic groups, Proceedings of the Japan Academy, Series A, Mathematical Sciences, 83 (2007), 93 - 98. (2007)
- 38. Nguyen Quoc Thang, Corestriction principle for non-abelian cohomology of reductive group schemes over arithmetical rings, Proceedings of the Japan Academy, Series A, Mathematical Sciences, 82 (2006), 147 - 151. (2006)
- 39. Nguyen Quoc Thang, Dao Phuong Bac, Some rationality properties of observable groups and related questions, Illinois Journal of Mathematics, 49 (2005), 431 - 444. (2005)
- 40. Nguyen Quoc Thang, Nguyen Duy Tan, On the Galois and flat cohomology of unipotent algebraic groups over non-perfect fields, Proceedings of the Japan Academy, Series A, Mathematical Sciences, 81 (2005), 121 - 123 (2005)
- 41. Nguyen Quoc Thang, Nguyen Duy Tan, On the surjectivity of localization maps for Galois cohomology of unipotent algebraic groups over fields, Comm.Algebra 32 (2004), 3169 - 3177. (2004)
- 42. Nguyen Quoc Thang, Weak corestriction principle for non-abelian Galois cohomology, Homology, Homotopy and Applications, 5 (2003), 219 - 249. (2003)
- 43. Nguyen Quoc Thang, Zariski dense subgroups of semisimple algebraic groups with isomorphic p-adic closures, Journal of Lie Theory, 13 (2003), 13 - 20. (2003)
- 44. Nguyen Quoc Thang, Weak approximation, Brauer and R-equivalence in algebraic groups over arithmetical fields. II., Kyoto Journal of Mathematics, 42 (2002), 305 - 316. (2002)
- 45. Nguyen Quoc Thang, On corestriction principle in non abelian Galois cohomology over local and global fields, Kyoto Journal of Mathematics, 42 (2002), 287 - 304. (2002)
- 46. Nguyen Quoc Thang, On isomorphism classes of Zariski dense subgroups of semisimple algebraic groups with isomorphic p-adic closures, Proceedings of the Japan Academy, Series A, Mathematical Sciences 78 (2002), 60 - 62. (2002)
- 47. Nguyen Quoc Thang, A note on finitely generated nilpotent groups, Expositiones Mathematicae, 19 (2001), 3 - 23. (2001)
- 48. Nguyen Quoc Thang, Weak approximation, Brauer and R-equivalence in algebraic groups over arithmetical fields, Kyoto Journal of Mathematics, 40 (2000), 247 - 291. (2000)
- 49. Nguyen Quoc Thang, Number of connected components of real adjoint groups, Communications in Algebra, 28 (2000), 1097 - 1110. (2000)
- 50. Nguyen Quoc Thang, On the rationality of almost simple algebraic groups, International Journal of Mathematics, 10 (1999), 642 - 665. (1999)
- 51. Nguyen Quoc Thang, A remark on pattern problems for matrix groups., Linear Algebra and its Applications, 292 (1999), 179 - 185. (1999)
- 52. Nguyen Quoc Thang, Rationality of almost simple algebraic groups, Kyoto Journal of Mathematics, 39 (1999), 185 - 202. (1999)
- 53. Nguyen Quoc Thang, Corestriction principle in non-abelian Galois cohomology, Proceedings of the Japan Academy, Series A, Mathematical Sciences, 74 (1998), 63 - 67. (1998)
- 54. Nguyen Quoc Thang, Weak approximation, R-equivalence and Whitehead group, In: Algebraic K-Theory. Fields Inst. Comm. 16 (1997), 35 - 44. (1997)
- 55. D. Ž. Đoković, Nguyen Quoc Thang, Lie groups with dense exponential images, Mathematische Zeitschrift, 225 (1997), 35 - 47. (1997)
- 56. Nguyen Quoc Thang, Stable conjugacy of connected subgroups of real algebraic groups, Communications in Algebra, 23 (1995), 2079 - 2090. (1997)
- 57. Nguyen Quoc Thang, Weak approximation, R-equivalence and Whitehead group, Algebraic K-Theory. Fields Inst. Comm. 16 (1997), 35 - 44. (1997)
- 58. Nguyen Quoc Thang, Some local-global principles in the arithmetic of algebraic groups over real function fields, Mathematische Zeitschrift, 221 (1996), 1 - 19. (1996)
- 59. D. Ž. Đoković, Nguyen Quoc Thang, Surjective maps between root systems with zero, Canadian Mathematical Bulletin, 39 (1996), 25 - 34. (1996)
- 60. Nguyen Quoc Thang, Complementary note on similitudes of forms, J. Math. Sciences Univ. Tokyo 3 (1996), 445 - 447. (1996)
- 61. Nguyen Quoc Thang, On weak approximation in algebraic groups and varieties defined by a system of forms, Journal of Pure and Applied Algebra, 113 (1996), 67 - 90. (1996)
- 62. Nguyen Quoc Thang, Stable conjugacy of connected subgroups of real algebraic groups, Communications in Algebra, 23 (1995), 2079 - 2090. (1995)
- 63. D. Ž. Đoković, Nguyen Quoc Thang, On the exponential map of almost simple real algebraic groups, Journal of Lie Theory, 5 (1995), 275 - 291. (1995)
- 64. Nguyen Quoc Thang, Corrigendum to the paper “Hermitian forms over division algebras over real function fields”, Mmanuscripta Mathematica, 82 (1994), 445 - 447. (1994)
- 65. Nguyen Quoc Thang, On some new local-global principles over a real function field, Communications in Algebra, 22 (1994), 2205 - 2219 (1994)
- 66. Nguyen Quoc Thang, D. Ž. Đoković, Conjugacy classes of maximal tori in simple real algebraic groups and applications. Corrections, Canadian Journal of Mathematics, 46 (1994), 1208 - 1210. (1994)
- 67. Nguyen Quoc Thang, Hermitian forms over division algebras over real function fields., Manuscripta Mathematica, 78 (1993), 9 - 35. (1993)
- 68. Nguyen Quoc Thang, On the weak approximation in algebraic groups., Contemporary Mathematics, 131 (1992) (Part 1), 423 - 426. (1992)
- 69. Nguyen Quoc Thang, On multiplicators of hermitian forms of type $D_n$, Journal of the Faculty of Science. University of Tokyo. Section IA. Mathematics, 39 (1992), 33 - 42. (1992)
- 70. Nguyen Quoc Thang, On the weak Hasse principle, Bulletin of the Polish Academy of Sciences, 39 (1991), 141 - 145 (1991)
- 71. Nguyen Quoc Thang, A note on the Hasse principle. Addenda, Acta Arithmetica, 59 (1991), 145 - 147. (1991)
- 72. Nguyen Quoc Thang, A note on the Hasse principle, Acta Arithmetica, 54 (1990), 171 - 184. (1990)
- 73. Nguyen Quoc Thang, On the determination of multiplicators of similitudes over local and global fields, Journal of the Faculty of Science. University of Tokyo. Section IA. Mathematics, 36 (1989), 789 - 802. (1989)
Featured News
View allUpcoming Conferences
View allNew Publications
View allInstitute Lectures
View allSpeaker: Claude Sabbah (CNRS, École Polytechnique, Institut Polytechnique de Paris, France)