Le Tuan Hoa

Contact

Scientific CV

Scientific Publications

Publications

1. 1. Le Tuan Hoa, Ngo Viet Trung, Nguyen Dang Hop, Saturation degree of powers of graded ideals, Journal of Pure and Applied Algebra, Volume 230, Issue 10 (2026), Article: 108392 (2026)
2. 2. Le Tuan Hoa, Doan Quang Tien, New bounds on Castelnuovo-Mumford regularity of monomial curves and application to sumsets, Journal of Pure and Applied Algebra Volume 230, Issue 9, September 2026, 108323 (2026)
3. 3. Le Tuan Hoa, Stability of maximal generating degrees of powers of monomial ideals, Journal of Algebraic Combinatorics, Volume 62, article number 23, (2025) (2025)
4. 4. Le Xuan Dung, Juan Elias, Le Tuan Hoa, Upper bounds on two Hilbert coefficients, Journal of Algebra, Volume 633, 1 November 2023, Pages 563-590 (2023)
5. 5. Le Tuan Hoa, Asymptotic behavior of integer programming and the stability of the Castelnuovo–Mumford regularity, Mathematical Programming, volume 193 (2022), pages 157–194 (2022)
6. 6. Le Tuan Hoa, Maximal Generating Degrees of Powers of Homogeneous Ideals, Acta Mathematica Vietnamica, 47 (2022), pages 19–37 (2022)
7. 7. Le Tuan Hoa, The Development of Mathematical Research in Vietnam at a Glance, The Mathematical Intelligencer, Volume 42, pages 50–58 (2020) (2020)
8. 8. Le Xuan Dung, Le Tuan Hoa, A note on Castelnuovo–Mumford regularity and Hilbert coefficients, Journal of Algebra and Its Applications, 18 (2019) 1950191 (2019)
9. 9. Le Tuan Hoa, Tran Nam Trung, Stability of Depth and Cohen-Macaulayness of Integral Closures of Powers of Monomial Ideals, Acta Mathematica Vietnamica, 43 (2018), 67–81 (2018)
10. 10. Le Xuan Dung, Le Tuan Hoa, Erratum to: Dependence of Hilbert coefficients, Manuscripta Mathematica, 54 (2017), 551–552. (2017)
11. 11. Le Tuan Hoa, Kyouko Kimura, Naoki Terai, Tran Nam Trung, Stability of depths of symbolic powers of Stanley-Reisner ideals, Journal of Algebra 473 (2017), 307–323 (2017)
12. 12. Le Tuan Hoa, Tran Nam Trung, Castelnuovo-Mumford regularity of symbolic powers of two-dimensional square-free monomial ideals, Journal of Commutative Algebra, 8 (2016), 77-88 (2016)
13. 13. Le Xuan Dung, Le Tuan Hoa, Dependence of Hilbert coefficients, Manuscripta Mathematica, 149 (2016), 235-249 (2016)
14. 14. Marc Chardin, Dao Thanh Ha, Le Tuan Hoa, Castelnuovo-Mumford regularity of Ext modules and homological degree,, Transactions of the American Mathematical Society 363 (2011), 3439-3456 (2011)
15. 15. Do Hoang Giang, Le Tuan Hoa, On local cohomology of a tetrahedral curve, Acta Mathematica Vietnamica, 35 (2010), 229 -- 241 (2010)
16. 16. Le Tuan Hoa, Nguyen Duc Tam, On some invariants of a mixed product of ideals, Archiv der Mathematik, 94 (2010), 327 -- 337 (2010)
17. 17. Le Tuan Hoa, Tran Nam Trung, Partial Castelnuovo-Mumford regularities reduction number of sums and intersections of monomial ideals, Mathematical Proceedings of the Cambridge Philosophical Society, 149 (2010), 229 -- 246 (2010)
18. 18. Michael Hellus, Le Tuan Hoa, Jürgen Stückrad, Castelnuovo-Mum-ford regularity and reduction number of some monomial curves, Proceedings of the American Mathematical Society, 138 (2010), 27 -- 35 (2010)
19. 19. Michael Hellus, Le Tuan Hoa, Jürgen Stückrad, Gröbner bases of simplicial toric ideals, Nagoya Mathematical Journal, 196 (2009), 67-85 (2009)
20. 20. Le Tuan Hoa, Tran Nam Trung, Castelnuovo-Mumford regularity of sums of powers of polynomial ideals, Communications in Algebra, 36 (2008), 806 - 820 (2008)
21. 21. Dao Thanh Ha, Le Tuan Hoa, Castelnuovo-Mumford regularity of some modules, Communications in Algebra, 36 (2008), 992 - 1004. (2008)
22. 22. Le Tuan Hoa, Finiteness of Hilbert functions and bounds for Castelnuovo-Mumford regularity of initial ideals, Transactions of the American Mathematical Society, 360 (2008), N0 9, 4519 - 4540 (2008)
23. 23. Le Tuan Hoa, Linear Algebra: Examples and Problems, Vietnam National University Press 2006, 448 tr (2006)
24. 24. Le Tuan Hoa, Eero Hyry, Castelnuovo-Mumford regularity of canonical and deficiency modules, Journal of Algebra, 305 (2006), 877 - 900 (2006)
25. 25. Le Tuan Hoa, Stability of associated primes of monomial ideals., Vietnam Journal of Mathematics, 34 (2006), 473 - 487 (2006)
26. 26. Le Tuan Hoa, Some computational problems in Commutative Algebra and Algebraic Geometry, , In: Proceedings of VI-th Vietnamese Mathematical Conference (Eds. H.H. Khoai, D.T. Thi and D.L. Van), VNU 2005, pp. 33 - 58. (2005)
27. 27. Henrik Bresinsky, Le Tuan Hoa, The $k-$Buchsbaum property for some polynomial ideals, Kyoto Journal of Mathematics, 43 (2004), 699 - 717. (2004)
28. 28. Le Tuan Hoa, Computer Algebra: Groebner Bases, Vietnam National University Press 2003, 290 pages. (2003)
29. 29. Le Tuan Hoa, Ngo Viet Trung, Borel-fixed ideals and reduction number, Journal of Algebra, 270 (2003), N0 1, 335 - 346. (2003)
30. 30. Le Tuan Hoa, Eero Hyry, On local cohomology and Hilbert function of powers of ideals, Manuscripta Mathematica,112 (2003), 77 - 92. (2003)
31. 31. Le Tuan Hoa, Jürgen Stückrad, Castelnuovo-Mumford regularity of simplicial toric rings, Journal of Algebra, 259 (2003), 127 - 146. (2003)
32. 32. Le Tuan Hoa, Asymptotic behavior of reduction numbers, Proceedings of the American Mathematical Society, 130 (2002), 3151 - 3158. (2002)
33. 33. Jürgen Herzog, Le Tuan Hoa, Ngo Viet Trung, Asymptotic linear bounds for the Castelnuovo-Mumford regularity, Transactions of the American Mathematical Society, 354 (2002), 1793 - 1809 (electronic) (2002)
34. 34. Henrik Bresinsky, Le Tuan Hoa, On some hereditary properties between $I$ and $ in (I)$, Acta Mathematica Vietnamica, 26 (2001), 219 - 230 (2001)
35. 35. Le Tuan Hoa, Nicholas Allsop, On the quotient between length and multiplicity, Communications in Algebra, 28 (2000), 815 - 828. (2000)
36. 36. Henrik Bresinsky, Le Tuan Hoa, On the reduction number of some graded algebras, Proceedings of the American Mathematical Society, 127 (1999), 1257-1263. (1999)
37. 37. Le Tuan Hoa, Castelnuovo-Mumford regularity and defining equations of a locally Cohen-Macaulay algebra, In: Commutative Algebra, Algebraic Geometry, and Computational Methods (Ed.: D. Eisenbud) , Springer, 1999, 301 - 313. (1999)
38. 38. Le Tuan Hoa, Ngo Viet Trung, On the Castelnuovo-Mumford regularity and the arithmetic degree of monomial ideals, Mathematische Zeitschrift, 229 (1998), 519 - 537. (1998)
39. 39. Le Tuan Hoa, Postulation number of good filtration, Communications in Algebra, 25 (1997), 1961 - 1974. (1997)
40. 40. Le Tuan Hoa, A note on the Hilbert-Samuel function in a two-dimensional local ring, Acta Mathematica Vietnamica, 21 (1996), 335 - 347. (1996)
41. 41. Le Tuan Hoa, Reduction numbers of equimultiple ideals., Journal of Pure and Applied Algebra, 109 (1996), 111 - 126. (1996)
42. 42. Le Tuan Hoa, Chikashi Miyazaki, Bounds on Castelnuovo-Mumford regularity for generalized Cohen-Macaulay graded rings, Mathematische Annalen, 301 (1995), 587 - 598. (1995)
43. 43. Le Tuan Hoa, Bounds for the number of generators of generalized Cohen-Macaulay ideals, Journal of Algebra, 178 (1995), 302 - 316. (1995)
44. 44. Le Tuan Hoa, Rosa M. Miró-Roig, Bounds for the Betti numbers of generalized Cohen-Macaulay ideals, Proceedings of the American Mathematical Society, 123 (1995), 2397 - 2405. (1995)
45. 45. Le Tuan Hoa, Santiago Zarzuela, Reduction numbers and a-invariants of good filtrations, Communications in Algebra, 22 (1994), 5635 - 5656. (1994)
46. 46. Le Tuan Hoa, Rosa M. Miró-Roig, Wolfgang Vogel, On numerical invariants of locally Cohen-Macaulay schemes in ${\bf P}^ n$, Hiroshima Mathematical Journal, 24 (1994), 299 - 316 (1994)
47. 47. Le Tuan Hoa, Wolfgang Vogel, Castelnuovo-Mumford regularity and hyperplane sections, Journal of Algebra, 163 (1994), 348 - 365. (1994)
48. 48. Mario Fiorentini, Le Tuan Hoa, Some remarks on generalized Cohen-Macaulay rings, Bulletin of the Belgian Mathematical Society, 1 (1994), 507 - 519. (1994)
49. 49. Henrik Bresinsky, F. Curtis, Mario Fiorentini, Le Tuan Hoa, On the structure of local cohomology modules for projective monomial curves in $P^3$, Nagoya Mathematical Journal, 136 (1994), 81 - 114. (1994)
50. 50. Le Tuan Hoa, Bounds for the Betti numbers of a projective curve, Proceeding of the International Conference "Commutative Algebra", Vechta (1994) (eds: W. Bruns, J. Herzog, M. Hochster and U. Vetter), 85 - 88. (1994)
51. 51. Le Tuan Hoa, On minimal free resolutions of projective varieties of degree = codimension + 2, Journal of Pure and Applied Algebra, 87 (1993), 241 - 250. (1993)
52. 52. Le Tuan Hoa, Koszul homology and generalized Cohen-Macaulay modules., Acta Mathematica Vietnamica, 18 (1993), 91 - 98. (1993)
53. 53. Le Tuan Hoa, On reduction numbers and Rees algebras of powers of an ideal, Proceedings of the American Mathematical Society, 119 (1993), 415 - 422. (1993)
54. 54. Le Tuan Hoa, Segre products and Rees algebras of face rings, Communications in Algebra, 20 (1992), 3369 - 3380. (1992)
55. 55. Le Tuan Hoa, The Gorenstein property depends upon characteristic for affine semigroup rings, Archiv der Mathematik, 56 (1991), 228 - 235. (1991)
56. 56. Le Tuan Hoa, Jürgen Stückrad, Wolfgang Vogel, Towards a structure theory for projective varieties of degree = codimension + 2, Journal of Pure and Applied Algebra, 71 (1991), 203 - 231. (1991)
57. 57. Le Tuan Hoa, A note on projective monomial surfaces, Mathematische Nachrichten, 154 (1991), 183 - 188 (1991)
58. 58. Le Tuan Hoa, On monomial $k$-Buchsbaum curves in $P^3$, Manuscripta Mathematica, 73 (1991), 423 - 436. (1991)
59. 59. Le Tuan Hoa, Mario Fiorentini, On monomial k-Buchsbaum curves in $P^r$., Annali dell’Università di Ferrara, VII, Sc. Mat., 36 (1990), 159 - 174. (1990)
60. 60. Le Tuan Hoa, Algorithmetical aspects of the problem of classifying multi-projections of Veronese varieties, Manuscripta Mathematica, 63 (1989), 317-331. (1989)
61. 61. Le Tuan Hoa, Ngo Viet Trung, Corrigendum to “Affine semigroups and Cohen-Macaulay rings generated by monomials, Transactions of the American Mathematical Society, 305 (1988), 857. (1988)
62. 62. Le Tuan Hoa, On Segre products of affine semigroup rings, Nagoya Mathematical Journal, 110 (1988), 113 - 128. (1988)
63. 63. Ngo Viet Trung, Le Tuan Hoa, Affine semigroups and Cohen-Macaulay rings generated by monomials, Transactions of the American Mathematical Society, 298 (1986), 145 - 167. (1986)
64. 64. Le Tuan Hoa, Classification of the triple projections of Veronese varieties, Mathematische Nachrichten, 128 (1986), 185 - 197. (1986)
65. 65. Phan Dinh Dieu, Le Cong Thanh, Le Tuan Hoa, Average polynomial time complexity of some NP-complete problems, Theoretical Computer Science, 46 (1986), 219 - 237. (1986)

Preprints

1. 1. Le Tuan Hoa, The Development of Mathematical Research in Vietnam at a Glance, The Mathematical Intelligencer; DOI 10.1007/s00283-020-09992-y. Can be read on-line by clicking https://rdcu.be/b6aH4 (2020)

Scientific Activities

Seminar

1. New bounds on Castelnuovo-Mumford regularity of monomial curves