Ngo Viet Trung
Full Professor, Doctor of Science

Cộng tác viên
Research interests:

Commutative Algebra and Interactions to Algebraic Geometry and Combinatorics

Address
Office: Building A6, Room 416
Tel: +84 (024 38361121 / 416
Email: nvtrung AT math.ac.vn

Honors

  • Hochiminh Prize in Science and Technology 2016 (shared with Professors  Nguyen Tu Cuong and Le Tuan Hoa)
  • Vietnam Talent in the Field of Natural Science (Area: Mathematics) 2009

 

PUBLICATIONS

List of publications in MathSciNet

List of recent publications
1Ha Thi Thu Hien, Ha Minh Lam, Ngo Viet Trung, Decreasing behavior of the depth functions of edge ideals. Journal of Algebraic Combinatorics, Volume 59  (2024), pages 37–53, (SCI-E, Scopus).
2Phạm Hùng Quý, Ngo Viet Trung, When does a perturbation of the equations preserve the normal cone? Transactions of the American Mathematical Society, 376 (2023), no. 7, 4957-4978, (SCI-E, Scopus).
3Tran Thi Gia Lam, Ngo Viet Trung, Buchsbaumness and Castelnuovo-Mumford regularity of non-smooth monomial curves, Journal of Algebra Volume 590, (2022), Pages 313-33, (SCI-E, Scopus).
4Ha Huy Tai, Nguyen Dang Hop, Ngo Viet Trung, Tran Nam Trung, Depth functions of powers of homogeneous ideals. Proceedings of the American Mathematical Society, 149 (2021), 1837–1844, (SCI-E, Scopus).
5Claudia Polini, Ngo Viet Trung, Bernd Ulrich, Javid Validashti, Multiplicity sequence and integral dependence, Mathematische Annalen 378 (2020), 951-969. (SCI-E, Scopus).
6 Hà Huy Tài, Nguyen Dang Hop, Ngo Viet Trung, Tran Nam Trung, Symbolic powers of sums of ideals, Mathematische Zeitschrift, 294 (2020), pages1499–1520, SCI(-E), Scopus.
7Nguyen Dang Hop, Ngo Viet Trung, Correction to: Depth functions of symbolic powers of homogeneous ideals, Inventiones mathematicae, 218 (2019), pages 829–831, SCI(-E), Scopus.
8Nguyen Dang Hop, Ngo Viet Trung, Depth functions of symbolic powers of homogeneous ideals, Inventiones mathematicae, 218 (2019), 779–827, SCI(-E), Scopus.
9Ha Minh Lam, Ngo Viet Trung, Associated primes of powers of edge ideals and ear decompositions of graphs, Transactions of the American Mathematical Society 372 (2019), 3211-3236 SCI(-E), Scopus.
10Giulio Cavigli, Ha Huy Tai, Jürgen Herzog, Manoj Kummini, Naoki Terai, Ngo Viet Trung, Depth and regularity modulo a principal ideal. Journal of Algebraic Combinatorics 49 (2019), no. 1, 1–20, SCI(-E), Scopus.
11Ha Huy Tai, Ngo Viet Trung, Membership Criteria and Containments of Powers of Monomial Ideals, Acta Mathematica Vietnamica, 44 (2019), pp 117–139, Scopus.
12Maria Evelina Rossi, Dinh Thanh Trung, Ngo Viet Trung, Castelnuovo-Mumford regularity and Ratliff-Rush closure. Journal of Algebra 504 (2018), 568-586, SCI(-E); Scopus.
13Gregor Kemper, Ngo Viet Trung, Nguyen Thi Van Anh, Toward a theory of monomial preorders, Mathematics of Computation 87 (2018), no. 313, 2513-2537, SCI(-E); Scopus.
14Ha Huy Tài, Ngo Viet Trung, Tran Nam Trung, Depth and regularity of powers of sums of ideals. Mathematische Zeitschrift 282 (2016), 819–838, SCI(-E); Scopus.
15Ha Thi Thu Hien, Ha Minh Lam, Ngo Viet Trung, Saturation and associated primes of powers of edge ideals, Journal of Algebra, 439 (2015), 225–244, SCI(-E); Scopus.
16Hong Ngoc Binh, Ngo Viet Trung, The Bhattacharya function of complete monomial ideals in two variables, Communications in Algebra, 43 (2015), 2875-2886, SCI(-E), Scopus.
17Naoki Terai, Ngo Viet Trung, On the associated primes and the depth of the second power of squarefree monomial ideals, Journal of Pure and Applied Algebra, 218 (2014), 1117–1129, SCI(-E); Scopus.
18Gregor Kemper, Ngo Viet Trung, Krull dimension and monomial orders, Journal of Algebra, 399(2014), 782–800, SCI(-E); Scopus.
19Ngo Viet Trung, Introduction to Commutative Algebra and Algebraic Geometry (in Vietnamese), Publishing House of Vietnam Academy of Science and Technology, Hanoi, 2012.
20Ngo Viet Trung, Naoki Terai, Cohen–Macaulayness of large powers of Stanley–Reisner ideals, Advances in Mathematics, 229 (2012), 711 -- 730, SCI(-E); Scopus.
21Ngo Viet Trung, T. M. Tuan, Equality of ordinary and symbolic powers of Stanley-Reisner ideals, Journal of Algebra,  328 (2011), 77 - 93, preprint arXiv:1009.0828, SCI(-E); Scopus.
22Ngo Viet Trung, N. C. Minh, Cohen-Macaulayness of monomial ideals and symbolic powers of Stanley-Reisner ideals. Advances in Mathematics 226 (2011), 1285 - 1306, SCI(-E); Scopus.
23Ngo Viet Trung, J. K. Verma, Hilbert functions of multigraded algebras, mixed multiplicities of ideals and their applications, Journal of Commutative Algebra, 2 (2010), 515 -- 565, SCI(-E); Scopus.
24Nguyen Cong Minh, Ngo Viet Trung, Cohen-Macaulayness of powers of two-dimensional squarefree monomial ideals, J. Algebra, 322 (2009), 4219-4227.
25J. Herzog, T. Hibi, Ngo Viet Trung, Vertex cover algebras of unimodular hypergraphs, Proc. Amer. Math. Soc., 137 (2009), 409-414, preprint arXiv:math/0703577.
26Juergen Herzog, Takayuki Hibi, Satoshi Murai, Xinxian Zheng, Ngo Viet Trung, Kruskal-Katona type theorems for clique complexes arising from chordal and strongly chordal graphs, Combinatorica 28 (2008), 315 - 323, preprint arXiv:math/0606477.
27Jürgen Herzog, Takayuki Hibi, Ngo Viet Trung, Xinxian Zheng, Standard graded vertex cover algebras, cycles and leaves, Trans. Amer. Math. Soc. 360 (2008), 6231 - 6249, preprint arXiv:math/0606357.
28Marc Chardin, Nguyen Cong Minh, Ngo Viet Trung, On the regularity of products and intersections of complete intersections, Proc. Amer. Math. Soc. 135 (2007),  1597 - 1606, preprint arXiv:math/0503157.
29Jürgen Herzoga, Takayuki Hibib, Ngo Viet Trung, Symbolic powers of monomial ideals and vertex cover algebras, Adv. Math. 210 (2007), 304 - 322.
30Ngo Viet Trung, Jugal Verma , Mixed multiplicities of ideals versus mixed volumes of polytopes, Trans. Amer. Math. Soc. 359 (2007), 4711 - 4727, preprint arXiv:math/0504178.
31Ngo Viet Trung, Castelnuovo-Mumford regularity and related invariants. In: Commutative algebra and combinatorics, 157 - 180, Ramanujan Math. Soc. Lect. Notes Ser. 4, Ramanujan Math. Soc., Mysore, 2007.
32Maria Evelina Rossi, Ngo Viet Trung, Giuseppe Val, Castelnuovo-Mumford regularity and finiteness of Hilbert functions, Commutative algebra, 193 - 209, 2006, preprint arXiv:math/0407398.
33Cao Huy Linh, Ngo Viet Trung, Uniform bounds in generalized Cohen-Macaulay rings, J. Algebra 304 (2006), 1147 - 1159, preprint arXiv:math/0606639.
34Ngo Viet Trung, Integral closures of monomial ideals and Fulkersonian hypergraphs, Vietnam J. Math. 34 (2006), 489 - 494.
35Ngo Viet Trung, Hsin-Ju Wang, On the asymptotic linearity of Castelnuovo-Mumford regularity, J. Pure Appl. Algebra 201 (2005), 42 - 48.
36Ngo Viet Trung, Galois Theory (in Vietnamese), National University Press, Hanoi, 2005.
37Craig Huneke, Ngo Viet Trung, On the core of ideals. Compos. Math. 141 (2005), 1 - 18.
38Ha Huy Tai, Ngo Viet Trung, Asymptotic behaviour of arithmetically Cohen-Macaulay blow-ups. Trans. Amer. Math. Soc. 357 (2005), 3655 - 3672.
39Nguyên Duc Hoang, Ngo Viet Trung, Hilbert polynomials of non-standard bigraded algebras, Math. Z. 245 (2003), 309 - 334. 4.
40Ngo Viet Trung, Constructive characterization of the reduction numbers, Compositio Math. 137 (2003), 99 - 113.
41Maria Evelina Rossi, Ngo Viet Trung, Giuseppe Valla, Castelnuovo-Mumford regularity and extended degree,  Trans. Amer. Math. Soc. 355 (2003), 1773 - 1786.
42Le Tuan Hoa, Ngo Viet Trung, Borel-fixed ideals and reduction number, J. Algebra 270 (2003), N0 1, 335 - 346.
43 J. Herzog, D. Popescu, Ngo Viet Trung, Regularity of Rees algebras. J. London Math. Soc. (2) 65 (2002), 320 - 338.
44Ngo Viet Trung, Evaluations of initial ideals and Castelnuovo-Mumford regularity. Proc. Amer. Math. Soc. 130 (2002), 1265 - 1274 (electronic).
45Ngo Viet Trung, W. Bruns and J. Gubeladze, Problems and algorithms for affine semigroups. Semigroup Forum 64 (2002), 180 - 212.
46Jürgen Herzog, Le Tuan Hoa, Ngo Viet Trung, Asymptotic linear bounds for the Castelnuovo-Mumford regularity, Trans. Amer. Math. Soc. 354 (2002),  1793 - 1809 (electronic).
47Ngo Viet Trung, Lectures on linear algebra (in Vietnamese) - Giáo trình đại số tuyến tính. NXB ĐHQG Hà Nội, 2001, 272 trang.
48Aldo Conca, Ngo Viet Trung, Giuseppe Valla, Koszul property for points in projective spaces, Math. Scand. 89 (2001), 201 - 216.
49Ngo Viet Trung, Positivity of mixed multiplicities, Math. Ann. 319 (2001), 33 - 63.
50Ngo Viet Trung, Groebner bases, local cohomology and reduction number. Proc. Amer. Math. Soc. 129 (2001), 9 - 18.
51Dam Van Nhi, Ngo Viet Trung, Specialization of modules over a local ring. Commutative algebra, homological algebra and representation theory (Catania/Genoa/Rome, 1998). J. Pure Appl. Algebra 152 (2000), N0 1-3, 275 - 288.
52Ngo Viet Trung, Castelnuovo-Mumford regularity and analytic deviation of ideals. J. London Math. Soc. (2) 62 (2000), 41 - 55.
53Ngo Viet Trung, The largest non-vanishing degree of graded local cohomology modules. J. Algebra 215 (1999), 481 - 499.
54S. Dale Cutkosky, Jürgen Herzog, Ngo Viet Trung, Asymptotic behaviour of Castelnuovo-Mumford regularity. Compositio Math. 118 (1999), 243 - 261.
55Dam Van Nhi, Ngo Viet Trung, Specialization of modules. Comm. Algebra 27 (1999), 2959 - 2978.
56Ngo Viet Trung, The Castelnuovo regularity of the Rees algebra and the associated graded ring. Trans. Amer. Math. Soc. 350 (1998), 2813 - 2832.
57A. Simis, Ngo Viet Trung, G. Valla, The diagonal subalgebras of a blow-up ring. J. Pure Appl. Algebra 125 (1998), 305 - 328.
58Le Tuan Hoa, Ngo Viet Trung, On the Castelnuovo-Mumford regularity and the arithmetic degree of monomial ideals. Math. Z. 229 (1998), 519 - 537.
59Aldo Conca, Giuseppe Valla, Jurgen Herzog, Ngo Viet Trung, Diagonal subalgebras and embbedings of blow-ups of projective spaces. Amer. J. Math. 119 (1997), 859 - 901.
60W. Bruns, J. Gubeladze, Ngo Viet Trung, Normal polytopes, triangulations and Koszul algebras. J. Reine Angew. Math. 485 (1997), 123 - 160.
61Ngo Viet Trung, On the lifting of determinantal ideals. Manuscripta Math. 91 (1996), 467 - 481.
62J. Aberbach, C. Huneke, Ngo Viet Trung, Reduction numbers, Briancon-Skoda theorem and the depth of Rees rings. Compositio Math. 97 (1995), 403 - 434.
63Ngo Viet Trung, G. Valla, Upper bounds for the regularity index of fat points with uniform position property. J. Algebra 176 (1995), 182 - 209.
64Bernd Sturmfels, Ngo Viet Trung, Wolfgang Vogel, Bounds on degrees of projective schemes. Math. Ann. 302 (1995), 417 - 432.
65Ngo Viet Trung, Giuseppe Valla, On zero-dimensional subschemes of complete intersections. Math. Z. 219 (1995), 187 - 201.
66Ngo Viet Trung, Manfred Herrmann, Eero Hyry, Jürgen Ribbe, On multi-Rees algebras. Math. Ann. 301 (1995), 249 - 279.
67Ngo Viet Trung, D.Q. Viet, S. Zarzuela, When is the Rees algebra Gorenstein?. J. Algebra 175 (1995), 137 - 156.
68Aron Simis, Ngo Viet Trung, Giuseppe Valla, Commutative algebra (ICTP, Trieste 1992). Eds.: A. Simis, N. V. Trung and G. Valla, World Scientific, 1994.
69Ngo Viet Trung, Reduction number, a-invariant, and Rees algebras of ideals having small analytic deviation, In: Commutative Algebra (ICTP, Trieste 1992), World Scientific, 1994, 245 - 262.
70Ngo Viet Trung, An algebraic approach to the regularity index of fat points in ${\bf P}^n$. Kodai Math. J. 17 (1994), 382 - 389.
71Jürgen Herzog, Giuseppe Valla, Ngo Viet Trung, On hyperplane sections of reduced irreducible varieties of low codimension. J. Math. Kyoto Univ. 34 (1994), 47 - 72.
72 M. V. Catalisano, Ngo Viet Trung, G. Valla, A sharp bound for the regularity index of fat points in general position. Proc. Amer. Math. Soc. (1993), 717 - 724.
73Ngo Viet Trung, Filter-regular sequences and multiplicity of blow-up rings of ideals of the principal class. J. Math. Kyoto Univ. 33 (1993), 665 - 683.
74 Manfred Herrmann, Ngo Viet Trung, Examples of Buchsbaum quasi-Gorenstein rings. Proc. Amer. Math. Soc. 117 (1993), 619 - 625.
75Ngo Viet Trung, Duong Quôc Viêt, On the Cohen-Macaulay and Gorenstein property of Rees algebras of non-singular equimultiple prime ideals. Manus. Math. 76 (1992), 147 - 167.
76Jürgen Herzog, Ngo Viet Trung, Bernd Ulrich, On the multiplicity of Rees algebras and associated graded rings of d-sequences. J. Pure Appl. Algebra 80 (1992), 273 - 297.
77Jürgen Herzog, Ngo Viet Trung, Grobner bases and multiplicity of determinantal and Pfaffian ideals. Advances in Math. 96 (1992), 1 - 37.
78M. Herrmann, J. Ribbe, Ngo Viet Trung, Rees algebras of non-singular equimultiple prime ideals. Nagoya Math. J. 124 (1991), 1 - 12.
79Winfried Bruns, Aron Simis, Ngo Viet Trung, Blow-ups of straightening closed ideals in ordinal Hodge algebras. Trans. Amer. Math. Soc. 326 (1991), 509 - 518.
80M. Herrmann, J. Ribbe, Ngo Viet Trung, S. Zarzuela, Bounds for the multiplicity of almost complete intersections. Manus. Math. 72 (1991), 275 - 296.
81Ngo Viet Trung, On the presentation of Hodge algebras and the existence of Hodge algebra structures. Comm. Algebra 19 (1991), 1183 - 1195.
82 M. Morales, Ngo Viet Trung, O. Villamayor, Sur la fonction de Hilbert-Samuel des clôtures intégrales des puissances d'idéaux engendrés par un système de paramètres. J. Algebra 129 (1990), 96 - 102.
83Ngo Viet Trung, Giuseppe Valla, The Cohen-Macaulay type of points in generic position. J. Algebra 125 (1989), 110 - 119.
84Ngo Viet Trung, Shin Ikeda, When is the Rees algebra Cohen-Macaulay? Comm. Algebra 17 (12) (1989), 2893 - 2922.
85Ngo Viet Trung, Giuseppe Valla, Degree bounds for the defining equations of arithmetically Cohen-Macaulay varieties. Math. Ann. 281 (1988), 479 - 491.
86A. Simis, Ngo Viet Trung, The divisor class group of ordinary and symbolic blow-ups. Math. Zeits. 198 (1988), 479 - 491.
87Ngo Viet Trung, G. Valla, On degree bounds for the defining equations of arithmetically Cohen-Macaulay and Buchsbaum varieties. Acta Math. Vietnam. 12 (1987), 113 - 122.
88Ngo Viet Trung, Reduction exponent and degree bounds for the defining equations of graded rings. Proc. Amer. Math. Soc. 101 (1987), 229 - 236.
89Ngo Viet Trung, Towards a theory of generalized Cohen-Macaulay modules. Nagoya Math. J. 102 (1986), 1 - 49.
90Ngo Viet Trung, Le Tuan Hoa, Affine semigroups and Cohen-Macaulay rings generated by monomials. Trans. Amer. Math. Soc. 298 (1986), 145 - 167.
91Ngo Viet Trung, Maximum number of independent elements and dimension of prime divisors in completions of local rings. J. Algebra 93 (1985), 418 - 438.
92Ngo Viet Trung, Projections of one-dimensional Veronese varieties. Math. Nachr. 118 (1984), 47 - 67.
93Ngo Viet Trung, Degree bounds for the defining equations of projective monomial curves. Acta Math. Vietnam. 9 (1984), 157 - 163.
94Ngo Viet Trung, From associated graded modules to blowing-ups of generalized Cohen-Macaulay modules. J. Math. Kyoto Univ. 24 (1984), 611 - 622.
95Ngo Viet Trung, Bounds for the minimum number of generators of generalized Cohen-Macaulay ideals, J. Algebra 90 (1984), 1 - 9.
96Ngo Viet Trung, On tensor products of extensions of a field. Quart. J. Math. 35 (1984), 337 - 339.
97Ngo Viet Trung, Absolutely superficial sequence. Math. Proc. Cambridge Phil. Soc. 93 (1983), 35 - 47.
98Ngo Viet Trung, On certain transitivity of the graded ring associated with an ideal. Proc. Amer. Math. Soc. 85 (1982), 489 - 495.
99Ngo Viet Trung, Standard systems of parameters of generalized Cohen-Macaulay modules, In: Proceedings of the 4th Symposium on Commutative Algebra in Japan, Karuizawa, 1982, 164 - 180.
100Ngo Viet Trung, On the associated graded ring of a Buchsbaum ring, Math. Nachr. 107 (1982), 209 - 220.
101Ngo Viet Trung, Classification of the double projections of Veronese varieties. J. Math. Kyoto Univ. 22 (1982), 567 - 581.
102Ngo Viet Trung, Principal systems of ideals. Acta Math. Vietnam. 6 (1981), 57 - 63.
103Ngo Viet Trung, A characterization of two dimensional unmixed local domains. Math. Proc. Camb. Phil. Soc. 89 (1981), 237 - 239.
104Ngo Viet Trung, A class of imperfect prime ideals having the equality of ordinary and symbolic powers. J. Math. Kyoto Univ. 21 (1981), 239 - 250.
105Ngo Viet Trung, Der graduierte Ring bezuglich des Primideals von Macaulay. Beitr. Algebra Geometrie 11 (1981), 35 - 40.
106Nguyen Tu Cuong, Ngo Viet Trung, Uber schwache Sequenzen. Period. Math. Hungar. 11 (1981), 77 - 80.
107Ngo Viet Trung, Some criteria for Buchsbaum modules. Monatsh. Math. 90 (1980), 331 - 337.
108Ngo Viet Trung, Spezialisierungen allgemeiner Hyperflọchenschnitte und Anwendungen, In: Seminar D. Eisenbud - B. Singh - W. Vogel, Vol. I, Teubner-Verlag, Leipzig, 1980, 4 - 43.
109Ngo Viet Trung, Über allgemeine Hyperflächenschnitte einer algebraischen Varietät. Monatsh. Math. 89 (1980), 323 - 340.
110Ngo Viet Trung, On the symbolic powers of determinantal ideals, J. Algebra 58 (1979), 361 - 369.
111Ngo Viet Trung, Uber die ubertragung der Ringeigenschaften zwischen R und R[u]/(F). Math. Nachr. 92 (1979), 215 - 229.
112Peter Schenzel, Ngo Viet Trung, Nguyen Tu Cuong, Uber verallgemeinerte Cohen- Macaulay Moduln. Math. Nachr. 85 (1978),  57 - 73.