Pham Hoang Hiep
Full Professor, Doctor of Science

Department of Mathematical Analysis
Research interests:

Pluripotential Theory, Complex Analysis and Geometry

Address
Office: Room 615, Building A6
Tel: +84 24 37563474 Ext 615
Email: phhiep AT math.ac.vn, phhiepvn AT gmail.com

Education and academic degrees:

  • 2007: Master  at Hanoi National University of Education
  • 2008: PhD  at Umea University
  • 2013: Doctor of Science  at Aix-Marseille University
  • 2011: Associate Professor
  • 2017: Full Professor

 Honors

  • Ramanujan Prize 2019
  • Ta Quang Buu award for young scientists 2015
  • TWAS Young Affiliate (2016-2020) of The World Academy of Sciences

PUBLICATIONS

List of publications in MathSciNet

List of recent publications
1 Le Mau Hai, Pham Hoang Hiep, Trinh Tung, Lelong Number and the Log Canonical Thresholds of Plurisubharmonic Functions on Analytic Subsets, Acta Mathematica Vietnamica, 47 (2022), pages 223–241, (Scopus).
2Lê Mậu Hải, Pham Hoang Hiep, Trinh Tung, Estimates of Level Sets of Holomorphic Functions and Applications to the Weighted Log Canonical Thresholds, The Journal of Geometric Analysis volume 31 (2021), 3783–3819, (SCI-E, Scopus).
3Do Hoang Son, Do Thai Duong, Pham Hoang Hiep, Complex Monge-Ampère Equation in Strictly Pseudoconvex Domains. Acta Mathematica Vietnamica, 45 (2020), no 1, 93–101, Scopus.
4Per Åhag, Urban Cegrell, Pham Hoang Hiep, On the Guedj-Rashkovskii conjecture, Annales Polonici Mathematici, 123 (2019), 15-20 SCI(-E); Scopus
5Pham Hoang Hiep, A Survey on the Weighted Log Canonical Threshold and the Weighted Multiplier Ideal Sheaf, Geometric Complex Analysis, Springer Proceedings in Mathematics & Statistics book series, Volume 246 (2018), 179-184. Springer, Singapore.
6Pham Hoang Hiep, Log canonical thresholds and Monge-Ampère masses, Mathematische Annalen, 370 (2018), 555-566, SCI(-E); Scopus.
7Pham Hoang Hiep, Continuity properties of certain weighted log canonical thresholds, Comptes Rendus Mathematique, 355 (2017), 34-39, SCI(-E); Scopus.
8Pham Hoang Hiep, Singularities of Plurisubharmonic Functions, Publishing House of Vietnam Academy of Science and Technology, 2016.
9Le Mau Hai, Pham Hoang Hiep, An equality on the complex Monge–Ampère measures, Journal of Mathematical Analysis and Applications, 444 (2016), 503–511,SCI(-E); Scopus.
10Pham Hoang Hiep, Trinh Tung, The weighted log canonical thresholds of toric plurisubharmonic functions. Comptes Rendus Mathematique 353 (2015), 127–131.
11Åhag Per, Cegrell Urban, Pham Hoang Hiep, Monge-Ampère measures on subvarieties. Journal of Mathematical Analysis and Applications, 423 (2015), 94–105.
12Le Mau Hai, Pham Hoang Hiep, Nguyen Xuan Hong, Nguyen Van Phu, The Monge-Ampère type equation in the weighted pluricomplex energy class. International Journal of Mathematics, 25 (2014), 1450042, 17 pp.
13Jean-Pierre Demailly, Sławomir Dinew, Vincent Guedj, Pham Hoang Hiep, Sławomir Kołodziej, Ahmed Zeriahi, Hölder continuous solutions to Monge-Ampère equations. Journal of the European Mathematical Society (JEMS) 16 (2014), 619–647.
14Pham Hoang Hiep, The weighted log canonical threshold. Comptes Rendus Mathematique, 352 (2014), 283–288.
15Jean-Pierre Demailly, Pham Hoang Hiep, A sharp lower bound for the log canonical threshold. Acta Mathematica, 212 (2014), 1–9.
16Pham Hoang Hiep, A comparison principle for the log canonical threshold. Comptes Rendus Mathematique, 351 (2013),  441–443.
17Le Mau Hai, Pham Hoang Hiep, Hoang Nhat Quy, Local property of the class E_{\chi ,loc}. Journal of Mathematical Analysis and Applications, 402 (2013),  440–445.
18Dinew Sławomir, Pham Hoang Hiep, Convergence in capacity on compact Kähler manifolds. Annali della Scuola Normale di Pisa - Classe di Scienze, 11 (2012), 903–919.
19Le Mau Hai, Pham Hoang Hiep, Vu Viet Hung, The log canonical threshold of holomorphic functions. International Journal of Mathematics, 23 (2012), 1250115, 8 pp.
20Nguyen Quang Dieu, Pham Hoang Hiep, Weighted Bernstein-Markov property in $\mathcal C^n$. Annales Polonici Mathematici 105 (2012), 101–123.
21Le Mau Hai, Pham Hoang Hiep, Nguyen Van Phu, Global and local definition of the Monge-Ampère operator on compact Kähler manifolds. Comptes Rendus Mathematique, 350 (2012), 153–156.
22Le Mau Hai, Pham Hoang Hiep, Some weighted energy classes of plurisubharmonic functions. Potential Analysis 34 (2011), 43–56.
23Per Åhag, Urban Cegrell, Pham Hoang Hiep, A product property for the pluricomplex energy. Osaka Journal of Mathematics, 47 (2010), 637–650.
24Pham Hoang Hiep, Hölder continuity of solutions to the Monge-Ampère equations on compact Kähler manifolds. Annales de l'institut Fourier (Grenoble) 60 (2010), 1857–1869.
25Pham Hoang Hiep, Convergence in capacity and applications. Mathematica Scandinavica, 107 (2010),  90–102.
26Åhag P., Urban Cegrella , Rafał Czyżb, Pham Hoang Hiep, Monge-Ampère measures on pluripolar sets. Journal de Mathématiques Pures et Appliquées, 92 (2009), 613–627.
27Åhag P., Cegrell U., Kołodziej S., Pham Hoang Hiep, A., Zeriahi, Partial pluricomplex energy and integrability exponents of plurisubharmonic functions. Advances in Mathematics, 222 (2009),  2036–2058.
28Le Mau Hai, Nguyen Van Khue, Pham Hoang Hiep, The complex Monge-Ampère operator on bounded domains in $\mathbb{C}^{n}$. Results in Mathematics, 54 (2009), 309–328.
29Nguyen Van Khue, Pham Hoang Hiep, A comparison principle for the complex Monge-Ampère operator in Cegrell's classes and applications. Transactions of the American Mathematical Society, 361 (2009), 5539–5554.
30Nguyen Quang Dieu, Pham Hoang Hiep, Pluripolar hulls and complete pluripolar sets. Potential Analysis, 29 (2008), 409–426.
31Pham Hoang Hiep, Phung Van Manh, Product properties in weighted pluripotential theory. Acta Mathematica Vietnamica, 33 (2008), 143–153.
32Pham Hoang Hiep, Pluripolar sets and the subextension in Cegrell's classes. Complex Variables and Elliptic Equations, 53 (2008), 675–684.
33Pham Hoang Hiep, On the convergence in capacity on compact Kahler manifolds and its applications. Proceedings of the American Mathematical Society, 136 (2008), 2007–2018.
34Pham Hoang Hiep, Convergence in capacity, Annales Polonici Mathematici, 93(2008), 91–99.
35Åhag Per, Czyż Rafał, Pham Hoang Hiep, Concerning the energy class $\scr E_p$ for 0\le p\le 1, Annales Polonici Mathematici, 91 (2007), 119-130.
36Pham Hoang Hiep, Boundary values of functions in Cegrell's class $\scr E_\psi$. Annales Polonici Mathematici, 92 (2007), 69–74.
37Le Mau Hai, Nguyen Van Khue, Pham Hoang Hiep, ω-pluripolar sets and subextension of ω-plurisubharmonic functions on compact Kähler manifolds. Ann. Polon. Math. 91 (2007), 25–41.
38Le Mau Hai, Nguyen Van Khue, Pham Hoang Hiep, The weighted relative extremal functions and weighted capacity. Acta Math. Vietnam. 31 (2006), 219–230.
39Le Mau Hai, Pham Hoang Hiep, The topology on the space of δ-psh functions in the Cegrell classes. Results Math. 49 (2006), 127–140.
40Pham Hoang Hiep, The comparison principle and Dirichlet problem in the class Ep(f), p>0. Ann. Polon. Math. 88 (2006), 247–261.
41Pham Hoang Hiep, A remark on the Dirichlet problem. Vietnam J. Math. 33 (2005), 335–342.
42Pham Hoang Hiep, A characterization of bounded plurisubharmonic functions. Ann. Polon. Math. 85 (2005), 233–238.
43Pham Hoang Hiep, Some remarks on the normality of a family of holomorphic maps into the projective space. Acta Math. Vietnam. 30 (2005), 87–94.