******************* Cán bộ nghiên cứu

Trần Nam Trung


PGS. TS. NCVCC

Phòng Đại số và Lý thuyết số
Hướng nghiên cứu: Đại số giao hoán


Liên hệ
Phòng làm việc: 609, Nhà A6
Điện thoại: +84 (02)4 37563474/
Email: tntrung AT math.ac.vn

Qúa trình đào tạo

  • Tiến sĩ: năm 2009, tại Viện Toán học
  • Phó Giáo sư: 2023

Chuyên ngành: Đại số giao hoán

Các lĩnh vực quan tâm: Đại số giao hoán, tổ hợp

DANH SÁCH CÔNG TRÌNH

Danh sách trong Mathscinet

Danh sách gần đây
1Le Xuan Dung, Trần Nam Trung, Cohen–Macaulay oriented graphs with large girth, Journal of Algebraic Combinatorics, Volume 61, article number 14, (2025), (SCI-E, Scopus).
2Hà Minh Lam, Ngô Việt Trung, Trần Nam Trung, A general formula for the index of depth stability of edge ideals, Transactions of the American Mathematical Society 377 (2024), 8633-8657, (SCI-E, Scopus).
3Nguyen Cong Minh, Trần Nam Trung, Vũ Quang Thanh, Stable value of depth of symbolic powers of edge ideals of graphs, Pacific Journal of Mathematics Vol. 329 (2024), No. 1, 147–164, (SCI-E, Scopus).
4Trương Thị Hiền, Trần Nam Trung, Regularity of symbolic powers of square-free monomial ideals, Arkiv for Matematik, 61 (2023), 99–121, (SCI-E, Scopus)
5Trần Nam Trung, Regularity of edge ideals. Bulletin of the Malaysian Mathematical Sciences Society 45 (2022), no. 2, 613–621, (SCI-E, Scopus).
6Trần Nam Trung, On Gorenstein graphs, Journal of Algebraic Combinatorics, 54 (2021), pages 673–688, SCI-E, Scopus.
7Trần Nam Trung, Maximal independent sets and regularity of graphs, International Journal of Algebra and Computation, 31 (2021), 807-818, (SCI-E, Scopus).
8Hà Huy Tài, Nguyễn Đăng Hợp, Ngô Việt Trung, Trần Nam Trung, Depth functions of powers of homogeneous ideals. Proceedings of the American Mathematical Society, 149 (2021), 1837–1844, (SCI-E, Scopus).
9Nguyen Cong Minh, Luu Ba Thang, Trần Nam Trung, The number of roots of a polynomial system Bulletin of the Australian Mathematical Society, 103 (2021), 369 - 378, (SCI-E, Scopus)
10Le Xuan Dung, Truong Thi Hien, Nguyễn Đăng Hợp, Trần Nam Trung, Regularity and Koszul property of symbolic powers of monomial ideals, Mathematische Zeitschrift volume 298 (2021), 1487–1522 (SCI-E, Scopus).
11 Hà Huy Tài, Nguyễn Đăng Hợp, Ngô Việt Trung, Trần Nam Trung, Symbolic powers of sums of ideals, Mathematische Zeitschrift, 294 (2020), pages1499–1520, SCI(-E), Scopus.
12Trần Nam Trung, Regularity, matchings and Cameron–Walker graphs, Collectanea Mathematica 71 (2020), 83–91, (SCI-E).
13Nguyen Cong Minh, Trần Nam Trung, Regularity of symbolic powers and arboricity of matroids. Forum Mathematicum 31 (2019), 465–477., (Scopus, SCI(-E)).
14Đỗ Trọng Hoàng, Trần Nam Trung, Coverings, matchings and the number of maximal independent sets of graphs, Australasian Journal of Combinatorics, 73 (2019), 424-431, Scopus.
15Trần Nam Trung, A Characterization of Gorenstein Planar Graphs, Adv. Stud. Pure Math, 77, Math. Soc. Japan, 2018.
16Nguyen Thu Hang, Trần Nam Trung, Regularity of powers of cover ideals of unimodular hypergraphs, Journal of Algebra, 513 (2018), 159-176, SCI(-E); Scopus.
17Lê Tuấn Hoa, Trần Nam Trung, Stability of Depth and Cohen-Macaulayness of Integral Closures of Powers of Monomial Ideals, Acta Mathematica Vietnamica, 43 (2018), 67–81, Scopus.
18Đỗ Trọng Hoàng, Trần Nam Trung, Buchsbaumness of the second powers of edge ideals, Journal of Algebra and Its Applications, 67 (2018), 21 pages, SCI(-E); Scopus.
19Nguyen Thu Hang, Trần Nam Trung, The behavior of depth functions of cover ideals of unimodular hypergraphs, Arkiv för Matematik, 55 (2017), 89-104,SCI(-E); Scopus.
20Thomas Hales, Mark Adams, Gertrud Bauer, Tat Dat Dang, John Harrison, Hoàng Lê Trường, Cezary Kaliszyk, Victor Magron, Sean Mclaughlin, Nguyễn Tất Thắng, Quang Truong Nguyen, Tobias Nipkow, Steven Obua, Joseph Pleso, Jason Rute, Alexey Solovyev, Tạ Thị Hoài An, Trần Nam Trung, Thi Diep Trieu, Josef Urban, Ky Vu, Roland Zumkeller, A formal proof of the Kepler onjecture, Forum of Mathematics, Pi, 5 (2017) 29 pages.
21Lê Tuấn Hoa, Kyouko Kimura, Naoki Terai, Trần Nam Trung, Stability of depths of symbolic powers of Stanley-Reisner ideals. Journal of Algebra 473 (2017), 307–323, SCI(-E); Scopus.
22Trần Nam Trung, Stability of depths of powers of edge ideals. Journal of Algebra 452 (2016), 157–187,SCI(-E); Scopus.
23Ha Huy Tài, Ngô Việt Trung, Trần Nam Trung, Depth and regularity of powers of sums of ideals. Mathematische Zeitschrift 282 (2016), 819–838, SCI(-E); Scopus.
24Lê Tuấn Hoa, Trần Nam Trung, Castelnuovo-Mumford regularity of symbolic powers of two-dimensional square-free monomial ideals, Journal of Commutative Algebra, 8 (2016), 77-88, SCI(-E); Scopus.
25Đỗ Trọng Hoàng, Trần Nam Trung, A characterization of triangle-free Gorenstein graphs and Cohen–Macaulayness of second powers of edge ideals. Journal of Algebraic Combinatorics, 43 (2016), 325–338, SCI(-E); Scopus.
26Selvi Beyarslan, Huy Tài Hà, Trần Nam Trung, Regularity of powers of forests and cycles, Journal of Algebraic Combinatorics, 42 (2015), 1077-1095, SCI(-E); Scopus.
27Đỗ Trọng Hoàng, Nguyên Công Minh, Trần Nam Trung, Cohen–Macaulay graphs with large girth, Journal of Algebra and Its Applications, 14 (2015), 16 pages, SCI(-E), Scopus.
28Đỗ Trọng Hoàng, Trần Nam Trung, Nguyen Cong Minh, Combinatorial characterizations of the Cohen-Macaulayness of the second power of edge ideals, Journal of Combinatorial Theory, Series A, 120 (2013), 1073 - 1086, SCI(-E); Scopus.
29Lê Tuấn Hoa, Trần 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, SCI(-E); Scopus.
30Trần Nam Trung, Stability of associated primes of integral closures of monomial ideals, J. Combin. Theory Series A, 116 (2009), 44-55.
31Trần Nam Trung, Regularity index of Hilbert functions of powers of ideals, Proc. Amer. Math. Soc., 137 (2009), 2169-2174.
32Lê Tuấn Hoa, Trần Nam Trung, Castelnuovo-Mumford regularity of sums of powers of polynomial ideals, Comm. Algebra 36 (2008), 806 - 820.
Tiền ấn phẩm
1IMH20230401, Mai Phuoc Binh, Nguyen Thu Hang, Truong Thi Hien, Trần Nam Trung, Depth stability of cover ideals
2IMH20210804, Dong Huu Mau, Trần Nam Trung, Stability of Associated Primes and Depth of Integral Closures of Powers of Edge Ideals, 2021, arXiv:2108.01830.