Assoc. Prof. Pham Hung Quy

Assoc. Prof. Pham Hung Quy

Lecturer and Researcher

Interested Fields: Mathematics

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CV

Contact

  • Address: Departmnet of Mathematics, FPT University, Hoa Lac Hi-tech Park, Hanoi, Vietnam
  • Email: quyph (AT fe.edu.vn)

Current position

  • Associate Professor, Department of Mathematics, FPT University

Research Interest

Mathematics, Commutative Algebra

  • Local cohomology (splitting conditions,associated primes);
  • Structure of finitely generated modules over local rings (irreducibility, Hilbert functions, limit closure);
  • Characteristic p methods (Frobenius action, tight closure, F-singularities);
  • Multiplicity theory.
  • Perturbation problem.

Education

  • PhD in Math: under the supervisor of Prof. Nguyen Tu Cuong, 2010–2013, Institute of Mathematics,VAST, Hanoi
    Title: On the splitting of local cohomology modules and applications 
  • MSc in Math: under the supervisor of Prof. Duong Quoc Viet, 2005–2007, Hanoi National University of Education                                Title: Local cohomology theory 
  • BSc in Math: 2001–2005, Hanoi National University of Education

Grants, honors & awards

  • 2013 Thesis of the year, Hanoi Institute of Mathematics

Publications

  1. Linquan Ma, Phạm Hùng Quý, Ilya Smirnov, Filter regular sequence under small perturbations, Mathematische Annalen, Vol. 378 (2020), 243–254, (ISI/Scopus, Q1 (SJR 2.22)), Google Scholar.
  2. Craig Huneke, Linquan Ma, Phạm Hùng Quý, Ilya Smirnov, Asymptotic Lech’s inequality, Advances in Mathematics, Vol. 372 (2020), Article 107296 (ISI/Scopus, Q1 (SJR 2.34)), Google Scholar.
  3. Linquan Ma, Phạm Hùng Quý, Ilya Smirnov, Colength, multiplicity, and ideal closure operations, Communications in Algebra, Vol. 48 (2020), 1601–1607( 4/2020, ISI/Scopus, Q2 (SJR 0.67)), Google Scholar.
  4. Nguễn Tự Cường, Phạm Hùng Quý, On the index of reducibility of parameter ideals: The stable and limit values, Acta Mathematica Vietnamica, Vol.45 Issue 1 in honor of Lê Văn Thiêm (2020), 249–260 (03/2020, Q3 (SJR 0.23)), Google Scholar.
  5. Dương Thị Hương, Phạm Hùng Quý, Upper bound of multiplicity in prime characteristic, Forum Mathematicum, Vol.32 (2020), 393–398 (3/2020, ISI/Scopus, Q1 (SJR 0.9)), Google Scholar.
  6. Hailong Dao, Phạm Hùng Quý, On the associated primes of local cohomology, Nagoya Mathematical Journal Vol. 237 (2020), 1–9. (3/2020, ISI/Scopus, Q2 (SJR 0.76), Google Scholar).
  7. Dương Thị Hương, Phạm Hùng Quý, Notes on the Frobenius test exponents, Communication in Algebra 47 (2019), 2702–2710. (07/2019, ISI/Scopus, Q2 (SJR 0.7), Google Scholar).
  8. Thomas Polstra, Phạm Hùng Quý, Nilpotence of Frobenius actions on local cohomology and Frobenius closure of ideals, Journal of Algebra, 529 (2019), 196–225. (07/2019, ISI/Scopus, Q1 (SJR 1.19), Google Scholar).
  9. Patricia Klein, Linquan Ma, Phạm Hùng Quý, Ilya Smirnov, Yongwei Yao, Lech’s inequality, the Stückrad–Vogel conjecture, and uniform be havior of Koszul homology, Advances in Mathematics 347 (2019), 442–472. (04/2019, ISI/Scopus, Q1 (SJR 3.03), Google Scholar).
  10. Nguyễn Tự Cường, Phạm Hùng Quý, Hoàng Lê Trường, On the index of reducibility of powers of a standard parameter ideal, Journal of Algebra and its Applications 18(2019), 1950048, 17 pages. (03/2019, ISI/Scopus, Q2 (SJR 0.69), Google Scholar).
  11. Phạm Hùng Quý, On the uniform bound of Frobenius test exponents, Journal of Algebra 518(2019), 119–128. (01/2019, ISI/Scopus, Q1 (SJR 1.19), Google Scholar).
  12. Linquan Ma, Phạm Hùng Quý, On the Frobenius actions on local cohomology modules and deformation, Nagoya Mathematical Journal 232 (2018), 55–75. (12/2018, ISI/Scopus, Q1 (SJR 0.89), Google Scholar).
  13.  Đoàn Trung Cường, Phạm Hồng Nam, Phạm Hùng Quý, On the length function of saturations of ideal powers, Acta Mathematica Vietnamica, 43 (2018), 275–288. (06/2018, Scopus, Q3 (SJR 0.27), Google Scholar).
  14. Phạm Hùng Quý, On the tight closure of parameter ideals in local rings F-rational on the puncture spectrum, Journal of Pure and Applied Algebra, 222 (2018), 1126–1138. (05/2019, ISI/Scopus, Q1 (SJR 1.27), Google Scholar).
  15. Marcel Morales, Phạm Hùng Quý, A study of the length function of generalized fractions, Proceedings of the Edinburgh Mathematical Society 60 (2017), 721–737. (08/2017, ISI/Scopus, Q2 (SJR 0.7), Google Scholar).
  16. Phạm Hùng Quý, Kazuma Shimomoto, F-injectivity and Frobenius closure of ideals in Noetherian rings of characteristic p > 0, Advances in Mathematics 313(2017), 127–166. (06/2017, ISI/Scopus, Q1 (SJR 3.03), Google Scholar).
  17. Phạm Hùng Quý, Fred Rohrer, Injective modules and torsion functors, Communication in Algebra 245 (2017), 285–298. (01/2017, ISI/Scopus, Q2 (SJR 0.7), Google Scholar).
  18. Phạm Hùng Quý, Some results on local cohomology of polynomial and formal power series rings: the one dimensional case, Journal of Algebra, 466 (2016), 184–194. (11/2016, ISI/Scopus, Q1 (SJR 1.27), Google Scholar).
  19. Phạm Hùng Quý, On the vanishing of local cohomology of the absolute integral closure in positive characteristic, Journal of Algebra 456 (2016), 182–189. (06/2016, ISI/Scopus, Q1 (SJR 1.27), Google Scholar).
  20. Kamal Bahmanpour, Phạm Hùng Quý, Localization at infinitely many prime ideals and applications, Journal of Algebra and its Applications 15 3 (2016), 1650045, 6 pages. (04/2016, ISI/Scopus, Q2 (SJR 0.71), Google Scholar).
  21. Nguyễn Tự Cường, Phạm Hùng Quý, Hoàng Lê Trường, On the index of reducibility in Noetherian modules, Journal of Pure Applied Algebra 219 (2015), 4510–4520. (10/2015, ISI/Scopus, Q1 (SJR 0.98), Google Scholar).
  22. Lê Thanh Nhàn, Phạm Hùng Quý, Attached primes of local cohomology modules under localization and completion, Journal of Algebra 420 (2014), 475–485. (12/2014, ISI/Scopus, Q1 (SJR 1.54), Google Scholar).
  23. Phạm Hùng Quý, On the uniform bound of the index of reducible of parameter ideals of a module whose polynomial type is at most one, Archiv der Mathematik (Basel) 101(2013), 469–578. (11/2013, ISI/Scopus, Q2 (SJR 0.83), Google Scholar).
  24. Phạm Hùng Quý, A remark on the finiteness dimension, Communication in Algebra 41(2013), 2048–2054. (06/2013, ISI/Scopus, Q2 (SJR 0.84), Google Scholar).
  25. Phạm Hùng Quý, Asymptotic behaviour of good systems of parameters of sequentially generalized Cohen-Macaulay modules, Kodai Mathematical Journal 35(2012), 576–588. (10/2012, ISI/Scopus, Q3 (SJR 0.37), Google Scholar).
  26. Phạm Hùng Quý, A splitting theorem for local cohomology and its applications, Journal of Algebra 331 (2011), 512–522. (04/2011, ISI/Scopus, Q1 (SJR 1.18), Google Scholar).
  27. Phạm Hùng Quý, On the finiteness of associated primes of local cohomology modules, Proceedings of the American Mathematical Society 138 (2010), 1965–1968. (06/2010, ISI/Scopus, Q1 (SJR 1.17), Google Scholar).

Preprints/Accepted papers

  1. Dương Thị Hương, Phạm Hùng Quý, Frobenius test exponent for ideals generated by filter regular sequences, to appear in Acta Mathematica Vietnamica (in honor of Nguyễn Tự Cường), arXiv:2101.00475.
  2. Phạm Hùng Quý, Ngô Việt Trung, When does a perturbation of the equations preserve the normal cone, Submitted,  arXiv:2012.14719. 
  3. Phạm Hùng Quý, Văn Đức Trung, Small perturbations in generalized Cohen-Macaulay local rings, Preprint 2020, arXiv:2004.08873. 
  4. Phạm Hùng Quý, Uniform annihilators of systems of parameters,  Preprint 2020, arXiv:2003.08878.
  5. Nguyễn Văn Thiện, Phạm Hùng Quý, Nguễn Khắc Việt, A Note on Jesmanowicz’ conjecture for non-primitive Pythagorean triples, Submitted.
  6. Nguễn Tự Cường, Phạm Hùng Quý, On the structure of finitely generated modules over quotients of Cohen-Macaulay local rings, Preprint 2016, ArXiv:1612.07638.
  7. Nguễn Tự Cường, Phạm Hùng Quý, On the limit closure of a sequence of elements in local rings, Preprint 2016, ArXiv:1608.08155.

Advising

  • PhD Student: Duong Thi Huong, 2018–2022 (expected)
  • Master Students: 06.