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
1Per Åhag, Urban Cegrell, Pham Hoang Hiep, On the Guedj-Rashkovskii conjecture, Annales Polonici Mathematici, 123 (2019), 15-20 SCI(-E); Scopus
2Pham 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.
3Pham Hoang Hiep, Log canonical thresholds and Monge-Ampère masses, Mathematische Annalen, 370 (2018), 555-566, SCI(-E); Scopus.
4Pham Hoang Hiep, Continuity properties of certain weighted log canonical thresholds, Comptes Rendus Mathematique, 355 (2017), 34-39, SCI(-E); Scopus.
5Pham Hoang Hiep, Singularities of Plurisubharmonic Functions, Publishing House of Vietnam Academy of Science and Technology, 2016.
6Le 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.
7Pham Hoang Hiep, Trinh Tung, The weighted log canonical thresholds of toric plurisubharmonic functions. Comptes Rendus Mathematique 353 (2015), 127–131.
8Åhag Per, Cegrell Urban, Pham Hoang Hiep, Monge-Ampère measures on subvarieties. Journal of Mathematical Analysis and Applications, 423 (2015), 94–105.
9Le 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.
10Jean-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.
11Pham Hoang Hiep, The weighted log canonical threshold. Comptes Rendus Mathematique, 352 (2014), 283–288.
12Jean-Pierre Demailly, Pham Hoang Hiep, A sharp lower bound for the log canonical threshold. Acta Mathematica, 212 (2014), 1–9.
13Pham Hoang Hiep, A comparison principle for the log canonical threshold. Comptes Rendus Mathematique, 351 (2013),  441–443.
14Le 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.
15Dinew Sławomir, Pham Hoang Hiep, Convergence in capacity on compact Kähler manifolds. Annali della Scuola Normale di Pisa - Classe di Scienze, 11 (2012), 903–919.
16Le Mau Hai, Pham Hoang Hiep, Vu Viet Hung, The log canonical threshold of holomorphic functions. International Journal of Mathematics, 23 (2012), 1250115, 8 pp.
17Nguyen Quang Dieu, Pham Hoang Hiep, Weighted Bernstein-Markov property in $\mathcal C^n$. Annales Polonici Mathematici 105 (2012), 101–123.
18Le 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.
19Le Mau Hai, Pham Hoang Hiep, Some weighted energy classes of plurisubharmonic functions. Potential Analysis 34 (2011), 43–56.
20Per Åhag, Urban Cegrell, Pham Hoang Hiep, A product property for the pluricomplex energy. Osaka Journal of Mathematics, 47 (2010), 637–650.
21Pham 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.
22Pham Hoang Hiep, Convergence in capacity and applications. Mathematica Scandinavica, 107 (2010),  90–102.
23Åhag P., Urban Cegrella , Rafał Czyżb, Pham Hoang Hiep, Monge-Ampère measures on pluripolar sets. Journal de Mathématiques Pures et Appliquées, 92 (2009), 613–627.
24Åhag 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.
25Le 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.
26Nguyen 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.
27Nguyen Quang Dieu, Pham Hoang Hiep, Pluripolar hulls and complete pluripolar sets. Potential Analysis, 29 (2008), 409–426.
28Pham Hoang Hiep, Phung Van Manh, Product properties in weighted pluripotential theory. Acta Mathematica Vietnamica, 33 (2008), 143–153.
29Pham Hoang Hiep, Pluripolar sets and the subextension in Cegrell's classes. Complex Variables and Elliptic Equations, 53 (2008), 675–684.
30Pham Hoang Hiep, On the convergence in capacity on compact Kahler manifolds and its applications. Proceedings of the American Mathematical Society, 136 (2008), 2007–2018.
31Pham Hoang Hiep, Convergence in capacity, Annales Polonici Mathematici, 93(2008), 91–99.
32Åhag 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.
33Pham Hoang Hiep, Boundary values of functions in Cegrell's class $\scr E_\psi$. Annales Polonici Mathematici, 92 (2007), 69–74.
34Le 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.
35Le Mau Hai, Nguyen Van Khue, Pham Hoang Hiep, The weighted relative extremal functions and weighted capacity. Acta Math. Vietnam. 31 (2006), 219–230.
36Le Mau Hai, Pham Hoang Hiep, The topology on the space of δ-psh functions in the Cegrell classes. Results Math. 49 (2006), 127–140.
37Pham Hoang Hiep, The comparison principle and Dirichlet problem in the class Ep(f), p>0. Ann. Polon. Math. 88 (2006), 247–261.
38Pham Hoang Hiep, A remark on the Dirichlet problem. Vietnam J. Math. 33 (2005), 335–342.
39Pham Hoang Hiep, A characterization of bounded plurisubharmonic functions. Ann. Polon. Math. 85 (2005), 233–238.
40Pham Hoang Hiep, Some remarks on the normality of a family of holomorphic maps into the projective space. Acta Math. Vietnam. 30 (2005), 87–94.