Phung Ho Hai

Contact

Scientific CV

Scientific Publications

Publications

1. 1. Phung Ho Hai, Joao Pedro dos Santos, Dao Van Thinh, Singular varieties and infinitesimal non-commutative Witt vectors, Mathematische Zeitschrift, Volume 314, article number 1 (2026) (2026)
2. 2. Vo Quoc Bao, Phung Ho Hai, Dao Van Thinh, 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 (2025)
3. 3. Nguyen Dang Hop, Phung Ho Hai, Joao 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 (2025)
4. 4. Phung Ho Hai, Joao Pedro dos Santos, Pham Thanh Tam, Algebraic theory of formal regular-singular connections with parameters, Rendiconti del Seminario Matematico della Università di Padova, 152 (2024) pages 171–228. (2024)
5. 5. Phung Ho Hai, Joao Pedro dos Santos, Pham Thanh Tam, Dao Van Thinh, Prolongation of regular-singular connections on punctured affine line over a Henselian ring, Communications in Algebra, Volume 52, 2024 - Issue 8, Pages 3194-3208 (2024)
6. 6. Indranil Biswas, Phung Ho Hai, Joao Pedro dos Santos, Connections on trivial vector bundles over projective schemes, Comptes Rendus. Mathématique, Volume 362 (2024), pp. 309-325 (2024)
7. 7. Phung Ho Hai, Joao 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 (2023)
8. 8. Phung Ho Hai, Joao Pedro dos Santos, Finite torsors on projective schemes defined over a discrete valuation ring, Algebraic Geometry, 10, (2023), page 1-40 (2023)
9. 9. Indranil Biswas, Phung Ho Hai, Joao Pedro dos Santos, On the fundamental group schemes of certain quotient varieties, Tohoku Mathematical Journal, 73(2021), 565-595 (2021)
10. 10. Phung Ho Hai, Joao 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, (2021)
11. 11. Nguyen Luong Thai Binh, Nguyen Thi Phuong Dung, Phung Ho Hai, Jacobi-Trudi Type Formula for Character of Irreducible Representations of gl(m|1), Acta Mathematica Vietnamica, 44 (2019), pp 603–615 (2019)
12. 12. Phung Ho Hai, Joao Pedro 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 (2018)
13. 13. Nguyen Dai Duong, Phung Ho Hai, Joao Pedro 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 (2018)
14. 14. Nguyen Dai Duong, Phung Ho Hai, Tannakian duality over Dedekind rings and applications, Mathematische Zeitschrift, 288 (2018),1103–1142 (2018)
15. 15. Nguyen Dai Duong, Phung Ho Hai, 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 (2017)
16. 16. Phung Ho Hai, On an injectivity lemma in the proof of Tannakian duality, Journal of Algebra and Its Applications, 15 (2016) (2016)
17. 17. Phung Ho Hai, Gauss-Manin stratification and stratified fundamental group schemes, Annales de l'institut Fourier, 63 (2013), 2267-2285, doi: 10.5802/aif.2829, SCI(-E) (2013)
18. 18. Nguyen Thi Phuong Dung, Phung Ho Hai, Nguyen Huy Hung, Construction of irreducible representations of the quantum super group $GL_q(3\mid 1)$, Acta Mathematica Vietnamica 36 (2011), 215 -- 229 (2011)
19. 19. Hélène Esnault, Phung Ho Hai, Two small remarks on Nori fundamental group scheme, In: Advanced Studies in Pure Mathematics, 60 (2010), 237 -- 243. (2010)
20. 20. Phung Ho Hai, Benoît Kriegk, Martin Lorenz, $N$-homogeneous superalgebras, Journal of Noncommutative Geometry, 2 (2008), 1 - 51 (2008)
21. 21. Hélène Esnault, Phung Ho Hai, Xiaotao Sun, On Nori's fundamental group scheme, In: Geometry and dynamics of groups and spaces, 377 - 398, Progress in Mathematics., 265, Birkhọuser, Basel, 2008 (2008)
22. 22. Phung Ho Hai, Tannaka-Krein duality for Hopf algebroids, Israel Journal of Mathematics, 167 (2008), 193 - 225 (2008)
23. 23. Hélène Esnault, Phung Ho Hai, The fundamental groupoid scheme and applications, Annales de l’Institut Fourier, 58 (2008), 2381-2412 (2008)
24. 24. Phung Ho Hai, Martin Lorenz, Koszul algebras and the quantum MacMahon master theorem, Bulletin of the London Mathematical Society, 39 (2007), 667 - 676 (2007)
25. 25. Hélène Esnault, Phung Ho Hai, The Gauss-Manin connection and Tannaka duality, International Mathematics Research Notices, 2006, Art. ID 93978, 35 pp. (2006)
26. 26. Phung Ho Hai, On the representation categories of matrix quantum groups of type $A$, Vietnam Journal of Mathematics, 33 (2005), 357 - 367. (2005)
27. 27. Phung Ho Hai, The homological determinant of quantum groups of type $A$., Proceedings of the American Mathematical Society, 133 (2005), 1897 - 1905 (electronic), (2005)
28. 28. Nguyen Thi Phuong Dung, Phung Ho Hai, Irreducible representations of quantum linear groups of type $A_{1|0}$, Journal of Algebra, 282 (2004), 809 - 830 (2004)
29. 29. Phung Ho Hai, Nguyen Thi Phuong Dung, On the Poincare series of quadratic algebras associated to Hecke symmetries, International Mathematics Research Notices, 2003, N0 40, 2193 - 2203. (2003)
30. 30. Phung Ho Hai, On a theorem of Deligne on characterization of Tannakian categorie, s. In: Arithmetic fundamental groups and noncommutative algebra (Berkeley, CA, 1999), 517 - 531, Proc. Sympos. Pure Math., 70, Amer. Math. Soc., Providence, RI, 2002. (2002)
31. 31. Phung Ho Hai, An embedding theorem for abelian monoidal categories, Compositio Mathematica, 132 (2002), 27 - 48 (2002)
32. 32. Phung Ho Hai, Characters of quantum groups of type $A_n$, Communications in Algebra, 30 (2002), 1085 - 1117 (2002)
33. 33. Phung Ho Hai, Realizations of quantum hom-spaces, invariant theory, and quantum determinantal ideals, Journal of Algebra, 248 (2002), 50 - 84. (2002)
34. 34. Phung Ho Hai, The integral on quantum supergroups of type AR|S, Asian J. Math. 5 (2001), 751 - 769. (2001)
35. 35. Phung Ho Hai, Splitting comodules over Hopf algebras and application to representation theory of quantum groups of type A0|0, Journal of Algebra, 245 (2001), 20 - 41 (2001)
36. 36. Phung Ho Hai, On matrix quantum groups of type $A_n$, International Journal of Mathematics, 11 (2000), 1115 - 1146. (2000)
37. 37. Phung Ho Hai, Hecke symmetries. Commutative algebra, homological algebra and representation theory (Catania/Genoa/Rome, 1998, Journal of Pure and Applied Algebra Volume 152, Issues 1–3, 15 September 2000, Pages 109-121 (2000)
38. 38. Phung Ho Hai, On structure of the quantum supergroups $GL_q(m|n)$, Journal of Algebra, 211 (1999), 363 - 383. (1999)
39. 39. Phung Ho Hai, Poincaré series of quantum spaces associated to Hecke operators, Acta Mathematica Vietnamica, 24 (1999), 235 - 246. (1999)
40. 40. Phung Ho Hai, Central bialgebras in braided categories and coquasitriangular structures, Journal of Pure and Applied Algebra, 140 (1999), 229 - 250. (1999)
41. 41. Phung Ho Hai, Koszul property and Poincaré series of matrix bialgebra of type $A_n$, Journal of Algebra, 192 (1997),734 - 748. (1997)
42. 42. Phung Ho Hai, Poincaré series of quantum matrix bialgebras determined by pairs of quantum spaces, Communications in Algebra, 23 (1995), 879 - 890. (1995)

Preprints

1. 1. IMH20230402, Tran Phan Quoc Bao, Vo Quoc Bao, Phung Ho Hai, Tannakian duality and Gauss-Manin connections for a family of curves (2023)

Books

1. 1. Phung Ho Hai, Multilinear Algebra (2010)

Scientific Activities

Seminar

1. Finite Determinacy of Harder–Narasimhan Filtrations under Frobenius
2. On the cohomology of differential fundamental groups
3. Perfectoid towers and global purity
4. Effective calculation of fundamental group schemes