Research interests

Algebra

Combinatorics

Formal Proofs

Education

2009: pHD in Mathematics, Institute of Mathematics, VAST, Vietnam.

Publications

1. Nguyen Cong Minh and Tran Nam Trung, Regularity of symbolic powers and arboricity of matroids, Forum Mathematicum (2019), DOI: https://doi.org/10.1515/forum-2017-0243.

2. Tran Nam Trung, A Characterization of Gorenstein Planar Graphs, Advanced Studies in Pure Mathematics, Math. Soc. Japan, 77 (2018).

3. Nguyen Thu Hang and Tran Nam Trung, Regularity of powers of cover ideals of unimodular hypergraphs, Journal of Algebra, 513 (2018), 159-176.

4. Le Tuan Hoa and Tran Nam Trung, Stability of Depth and Cohen-Macaulayness of Integral Closures of Powers of Monomial Ideals, Acta Mathematica Vietnamica, 43 (2018), 67–81.

5. Do Trong Hoang and Tran Nam Trung, Buchsbaumness of the second powers of edge ideals, Journal of Algebra and Its Applications, 67 (2018), 21 pages.

6. Nguyen Thu Hang and Tran Nam Trung, The behavior of depth functions of cover ideals of unimodular hypergraphs, Arkiv för Matematik, 55 (2017), 89-104.

7. Thomas 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.

8. Le Tuan Hoa, Kyouko Kimura, Naoki Terai and Tran Nam Trung, Stability of depths of symbolic powers of Stanley-Reisner ideals, Journal of Algebra 473 (2017), 307–323, SCI(-E); Scopus.

9. Tran Nam Trung, Stability of depths of powers of edge ideals, Journal of Algebra 452 (2016), 157–187.

10. Ha Huy Tai, Ngo Viet Trung, Tran Nam Trung, Depth and regularity of powers of sums of ideals, Mathematische Zeitschrift 282 (2016), 819–838.

11. Le Tuan 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.

12. Đo Trong Hoang and Tran Nam Trung, A characterization of triangle-free