Phùng Hồ Hải
GS. TSKH. NCVCC

Phòng Hình học và tô-pô
Hướng nghiên cứu: Đại số, nhóm lượng tử, các phạm trù monoid


Liên hệ
Phòng làm việc: 406, Nhà A6
Điện thoại: +84 24 37563474
Email: phung AT math.ac.vn

Lý lịch khoa học

Năm sinh: 1970

Nơi sinh: Hanoi

  • Đại học: 1992, Moscow, Liên xô (cũ)
  • Tiến sĩ: 1996, Munich, CHLB Đức
  • Tiến sĩ khoa học: 2005, Essen, CHLB Đức
  • Phó giáo sư: 2006
  • Giáo sư: 2012

Chuyên ngành: Đại số - Hình học đại số

Các vị trí công tác đã qua

  • Viện Trưởng Viện Toán học 2017 - 2022
  • Phó Viện trưởng Viện Toán học 2012 - 2017
  • Phó tổng biên tập tạp chí Acta Mathematica Vietnamica 2008-2020
  • Tổng thư ký Hội toán học Việt Nam: 2013-2018

Các lĩnh vực quan tâm

  • Tensor categories, Tannaka duality
  • Quantum groups, Hopf algebras
  • Fundamental groupschemes

DANH SÁCH CÔNG TRÌNH

Danh sách trong Mathscinet

Danh sách gần đây
1Võ Quốc Bảo, Phùng Hồ Hải, Đào Văn Thịnh, Cohomology of the differential fundamental group of algebraic curves, Bulletin des Sciences Mathématiques, Volume 203, August 2025, 103646, https://doi.org/10.1016/j.bulsci.2025.103646, (SCI-E, Scopus).
2Phùng Hồ Hải, Nguyễn Đăng Hợp, João Pedro dos Santos , Fiber criteria for flatness and homomorphisms of flat affine group schemes, Journal of Pure and Applied Algebra, Volume 229, Issue 6, June 2025, 107949, (SCI-E, Scopus).
3Phùng Hồ Hải, João Pedro dos Santos, Phạm Thanh Tâm, Algebraic theory of formal regular-singular connections with parameters, Rendiconti del Seminario Matematico della Università di Padova, Volume 152 (2024) pages 171–228, (SCI-E, Scopus).
4Phùng Hồ Hải, João Pedro dos Santos, Phạm Thanh Tâm, Đào Văn Thịnh, Prolongation of regular-singular connections on punctured affine line over a Henselian ring, Communications in Algebra, Volume 52, 2024 - Issue 8, Pages 3194-3208, (SCI-E, Scopus).
5Indranil Biswas, Phùng Hồ Hải, Joao Pedro dos Santos, Connections on trivial vector bundles over projective schemes Comptes Rendus. Mathématique, Volume 362 (2024), pp. 309-325, (SCI-E, Scopus).
6Phùng Hồ Hải, João Pedro dos Santos, Regular-singular connections on relative complex schemes, Annali della Scuola Normale Superiore di Pisa, Classe di Scienze, 2023: VOL. XXIV, ISSUE 3, (SCI-E, Scopus).
7Phùng Hồ Hải, João Pedro dos Santos, Finite torsors on projective schemes defined over a discrete valuation ring, Algebraic Geometry, 10, (2023), page 1-40, (SCI-E, Scopus).
8Indranil Biswas, Phùng Hồ Hải, João Pedro Dos Santos, On the fundamental group schemes of certain quotient varieties, Tohoku Mathematical Journal, 73(2021), 565-595, (SCI-E, Scopus). Corrected version: see link (https://arxiv.org/abs/1809.06755).
9Phùng Hồ Hải, João Pedro dos Santos, On the Structure of Affine Flat Group Schemes Over Discrete Valuation Rings, II , International Mathematics Research Notices, 12 (2021), Pages 9375–9424, (SCI(-E), Scopus).
10Nguyên Luong Thái Bình, Nguyên Thi Phuong Dung, Phùng Hồ Hải, Jacobi-Trudi Type Formula for Character of Irreducible Representations of gl(m|1), Acta Mathematica Vietnamica, 44 (2019), pp 603–615, Scopus.
11Phùng Hồ Hải, João Pedro P. dos Santos, The action of the etale fundamental group scheme on the connected component of the essentially finite one, Mathematische Nachrichten, 291 (2018),1733–1742, SCI(-E); Scopus.
12Nguyen Dai Duong, Phùng Hồ Hải, João Pedro P. Dos Santos, On the structure of affine flat group schemes over discrete valuation rings, Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, XVIII (2018), 977-1032, SCI(-E); Scopus.
13Nguyen Dai Duong, Phùng Hồ Hải, Tannakian duality over Dedekind rings and applications, Mathematische Zeitschrift, 288 (2018),1103–1142, SCI(-E); Scopus.
14Nguyen Dai Duong, Phùng Hồ Hải, Nguyen Huy Hung, On the flatness and the projectivity over Hopf subalgebras of Hopf algebras over Dedekind rings, Journal of Algebra, 478 (2017), 237–260,SCI(-E); Scopus.
15Phùng Hồ Hải, On an injectivity lemma in the proof of Tannakian duality, Journal of Algebra and Its Applications, 15 (2016),SCI(-E); Scopus.
16Phùng Hồ Hải, Gauss-Manin stratification and stratified fundamental group schemes, Annales de l'institut Fourier, 63 (2013), 2267-2285, doi: 10.5802/aif.2829, SCI(-E); Scopus.
17Nguyen Thi Phuong Dung, Phùng Hồ Hải, Nguyen Huy Hung, Construction of irreducible representations of the quantum super group $GL_q(3\mid 1)$, Acta Mathematica Vietnamica 36 (2011), 215 -- 229, Scopus.
18Phùng Hồ Hải, H. Esnault, Two small remarks on Nori fundamental group scheme, In: Advanced Studies in Pure Mathematics, 60 (2010), 237 -- 243.
19Phùng Hồ Hải, B. Kriegk and M. Lorenz, $N$-homogeneous superalgebras, J. Noncommut. Geom. 2 (2008), 1 - 51, preprint arXiv:0704.1888.
20H. Esnault, Phùng Hồ Hải, Packets in Grothendieck's section conjecture, Adv. Math. 218 (2008), 395 - 416.
21H. Esnault, Phùng Hồ Hải, X. Sun, On Nori's fundamental group scheme. In: Geometry and dynamics of groups and spaces, 377 - 398, Progr. Math., 265, Birkhọuser, Basel, 2008.preprint arXiv:math/0605645.
22Phùng Hồ Hải, Tannaka-Krein duality for Hopf algebroids, Israel J. Math. 167 (2008), 193 - 225, preprint arXiv:math/0206113.
23Phùng Hồ Hải, H. Esnault, The fundamental groupoid scheme and applications, Annales de l’Institut Fourier, 58 (2008), 2381-2412.
24Phùng Hồ Hải, Martin Lorenz, Koszul algebras and the quantum MacMahon master theorem, Bull. Lond. Math. Soc. 39 (2007), 667 - 676, preprint arXiv:math/0603169.
25Hélène Esnault, Phùng Hồ Hải, The Gauss-Manin connection and Tannaka duality, Int. Math. Res. Not. 2006, Art. ID 93978, 35 pp.
26Phùng Hồ Hải, On the representation categories of matrix quantum groups of type A, Vietnam J. Math. 33 (2005), 357 - 367.
27Phùng Hồ Hải, The homological determinant of quantum groups of type $A$. Proc. Amer. Math. Soc. 133 (2005), 1897 - 1905 (electronic), preprint arXiv:math/0305115.
28Nguyen Thi Phuong Dung, Phùng Hồ Hải, Irreducible representations of quantum linear groups of type A1|0, J. Algebra 282 (2004), 809 - 830.
29Phùng Hồ Hải, Nguyen Phuong Dung, On the Poincare series of quadratic algebras associated to Hecke symmetries, Int. Math. Res. Not. 2003, N0 40, 2193 - 2203.
30Phùng Hồ Hải, On a theorem of Deligne on characterization of Tannakian categories. In: Arithmetic fundamental groups and noncommutative algebra (Berkeley, CA, 1999), 517 - 531, Proc. Sympos. Pure Math., 70, Amer. Math. Soc., Providence, RI, 2002.
31Phùng Hồ Hải, An embedding theorem for abelian monoidal categories, Compositio Math. 132 (2002), 27 - 48, preprint arXiv:math/0004160.  Corrigendum: ``An embedding theorem for abelian monoidal categories'' [Compositio Math. 132 (2002), N0 1, 27 - 48]. Compos. Math. 144 (2008), 1349 - 1350
32Phùng Hồ Hải, Characters of quantum groups of type $A_n$, Comm. Algebra 30 (2002), 1085 - 1117, preprint arXiv:math/9807045.
33Phùng Hồ Hải, Realizations of quantum hom-spaces, invariant theory, and quantum determinantal ideals, J. Algebra 248 (2002), 50 - 84.
34Phùng Hồ Hải, The integral on quantum supergroups of type AR|S, Asian J. Math. 5 (2001), 751 - 769.
35Phùng Hồ Hải, Splitting comodules over Hopf algebras and application to representation theory of quantum groups of type A0|0. J. Algebra 245 (2001), 20 - 41.
36Phùng Hồ Hải, On matrix quantum groups of type A_n. Internat. J. Math. 11 (2000), 1115 - 1146.
37Phùng Hồ Hải, Hecke symmetries. Commutative algebra, homological algebra and representation theory (Catania/Genoa/Rome, 1998). J. Pure Appl. Algebra 152 (2000), 109 - 121.
38Phùng Hồ Hải, On structure of the quantum supergroups GLq(m|n). J. Algebra 211 (1999), 363 - 383.
39Phùng Hồ Hải, Poincaré series of quantum spaces associated to Hecke operators. Acta Math. Vietnam. 24 (1999), 235 - 246.
40Phùng Hồ Hải, Central bialgebras in braided categories and coquasitriangular structures. J. Pure Appl. Algebra 140 (1999), 229 - 250.
41Phùng Hồ Hải, Koszul property and Poincaré series of matrix bialgebra of type A_n. J. Algebra 192 (1997),734 - 748.
42Phùng Hồ Hải, Poincaré series of quantum matrix bialgebras determined by pairs of quantum spaces. Comm. Algebra 23 (1995), 879 - 890.
Tiền ấn phẩm
1IMH20250402, Phùng Hồ Hải, João Pedro Dos Santos, Đào Văn Thịnh, Singular schemes and infinitesimal non-commutative witt vectors
2IMH20230402, Trần Phan Quốc Bảo, Võ Quốc Bảo, Phùng Hồ Hải, Tannakian duality and Gauss-Manin connections for a family of curves