Tran Nam Trung


Dr.

Department of Algebra
Research interests: Commutative Algebra


Address
Office: Building A5, Room 101
Tel: +84 (0)4 37563474/101
Email: tntrung AT math.ac.vn

Education

PhD 2009: at Institute of Mathematics, 2009 

Research areas: Commutative Algebra, Combinatorics

 

PUBLICATIONS

List of publications in MathSciNet

 

List of recent publications
1Le 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.
2Do Trong Hoang, Tran Nam Trung, Buchbaumness of the second powers of edge ideals, Journal of Algebra and Its Applications, 67 (2018), 21 pages.
3Nguyen Thu Hang, Tran Nam Trung, The behavior of depth functions of cover ideals of unimodular hypergraphs, Arkiv för Matematik, 55 (2017), 89-104.
4Thomas Hales, Mark Adams, Gertrud Bauer, Tat Dat Dang, John Harrison, Hoang Le Truong, Cezary Kaliszyk, Victor Magron, Sean Mclaughlin, Nguyen Tat Thang, Quang Truong Nguyen, Tobias Nipkow, Steven Obua, Joseph Pleso, Jason Rute, Alexey Solovyev, Ta Thi Hoai An, Tran 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.
5Le 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.
6Tran Nam Trung, Stability of depths of powers of edge ideals. Journal of Algebra 452 (2016), 157–187.
7Ha Huy Tài, Ngo Viet Trung, Tran Nam Trung, Depth and regularity of powers of sums of ideals. Mathematische Zeitschrift 282 (2016), 819–838.
8Le 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.
9Do Trong Hoang, Tran 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.
10Selvi Beyarslan, Huy Tài Hà, Tran Nam Trung, Regularity of powers of forests and cycles, Journal of Algebraic Combinatorics, 42 (2015), 1077-1095.
11Do Trong Hoang, Nguyên Công Minh, Tran Nam Trung, Cohen–Macaulay graphs with large girth, Journal of Algebra and Its Applications, 14 (2015), 16 pages.
12Do Trong Hoang, Tran Nam Trung, Nguyen Cong Minh, Combinatorial characterizations of the Cohen-Macaulayness of the second power of edge ideals, J. Combinatorial Theory, Series A, 120 (2013), 1073 - 1086.
13Le Tuan Hoa, Tran Nam Trung, Partial Castelnuovo-Mumford regularities reduction number of sums and intersections of monomial ideals, Math. Proc. Cambridge Soc., 149 (2010), 229 -- 246.
14Tran Nam Trung, Stability of associated primes of integral closures of monomial ideals, J. Combin. Theory Series A, 116 (2009), 44-55.
15Tran Nam Trung, Regularity index of Hilbert functions of powers of ideals, Proc. Amer. Math. Soc., 137 (2009), 2169-2174.
16Le Tuan Hoa, Tran Nam Trung, Castelnuovo-Mumford regularity of sums of powers of polynomial ideals, Comm. Algebra 36 (2008), 806 - 820.
Preprints
1IMH20180503, Do Trong Hoang, Tran Nam Trung, Coverings, matchings and the number of maximal independent sets of graphs
2IMH20170603, Le Tuan Hoa, Tran Nam Trung, Stability of Depth and Cohen-Macaulayness of Integral Closures of Powers of Monomial Ideals, preprint ArXiv 1706.07603.