Assoc. Prof. Phan Thanh Toan
Position: Key member
Expertise: Mathematics: Commutative Algebra, Code Theory
Email: phanthanhtoan@tdtu.edu.vn
Main Research Directions
Commutative Algebra
Code Theory
Achievements
He chaired several scientific research projects, including one National Foundation for Science and Technology Development (NAFOSTED) project and one institutional-level project, contributing to the promotion of research in his/her field.
He published 34 scientific articles in journals listed in the Web of Science (WoS) and Scopus systems, affirming his research capabilities and international integration.
He published one chapter in a specialized book, contributing to the dissemination and development of scientific knowledge.
His scientific index: H-index = 8 with 272 citations according to the Google Scholar database, reflecting the recognition of the research community for his/her published scientific works.
He provided postgraduate training, successfully supervising 7 Master's students.
He received the 2020 Mathematical Work Award from the Vietnam Institute for Advanced Studies in Mathematics (VIASM), recognizing his/her outstanding contributions to mathematical research.
Education
2006-2012: PhD in Mathematics, Pohang University of Science and Technology, South Korea
2000-2004: Bachelor of Mathematics and Computer Science, Faculty of Science, Vietnam National University Ho Chi Minh City, Vietnam
Experience
2024-present: Head of Department, Department of Mathematics and Statistics, Ton Duc Thang University, Vietnam
2023-present: Vice-Head of Department, Department of Mathematics and Statistics, Ton Duc Thang University, Vietnam
2017-present: Lecturer, Department of Mathematics and Statistics, Ton Duc Thang University, Vietnam
2012-2016: Postdoctoral Researcher, Department of Mathematics, Pohang University of Science and Technology, South Korea
2006-2012: Teaching Assistant, Department of Mathematics, Pohang University of Science and Technology, South Korea
2005-2006: Teaching Assistant, Department of Mathematics and Informatics, Faculty of Science, Vietnam National University Ho Chi Minh City, Vietnam
Publications
34. L.T.N. Giau, B.G. Kang and P.T. Toan, Height of prime ideals of the form P[[X]], Comm. Algebra. online ready. (ISI)
33. P.T. Toan, P.T. Tri and T.N. Vo, Valuations on power series rings in an arbitrary set of indeterminates, J. Algebra Appl.. online ready. (ISI)
32. L.T.N. Giau, P.T. Toan and T.N. Vo, N-prime elements and the primality of x − α in D⟦x⟧, Comm. Algebra 53 (2025), no. 1, 233-241. (ISI)
31. L.T.N. Giau and P.T. Toan, Almost strong finite type rings and Krull dimension of power series ring extensions from sequences, J. Algebra Appl. 23(11) (2024) 2450178. (ISI)
30. L.T.N. Giau and P.T. Toan, Power series over integral domains of Krull type, J. Algebra Appl. 22(7) (2023) 2350155. (ISI)
29. L.T.N. Giau, P.T. Toan and T.N. Vo, Dedekind–Mertens Lemma for Power Series in an Arbitrary Set of Indeterminates. Vietnam J. Math. 50 (2022) 45-58.
28. G.W. Chang and P.T. Toan, Polynomial and power series ring extensions from sequences, J. Algebra Appl. 21(3) (2022) 2250048. (ISI)
27. G.W. Chang and P.T. Toan, Twisted Polynomial and Power Series Rings, Bull. Iran. Math. Soc. 48 (2022), 93–110. (ISI)
26. T.N. Vo, M. Razzaghi, P.T. Toan, Fractional-order generalized Taylor wavelet method for systems of nonlinear fractional differential equations with application to human respiratory syncytial virus infection, Soft Comput. 26(1) (2022), 165-173. (ISI)
25. G.W. Chang and P.T. Toan, Subrings of the power series ring over a principal ideal domain, Comm. Algebra 49 (2021), no. 9, 3748-3759. (ISI)
24. P.T. Toan and B.G. Kang, Chains of prime ideals in power series rings, J. Pure Appl. Algebra 225 (2021), no. 11, 106726. (ISI)
23. T.N. Vo, M. Razzaghi, and P.T. Toan, A numerical method for solving variable-order fractional diffusion equations using fractional-order Taylor wavelets, Numer. Methods Partial Differ. Equ. 37 (2021), no. 3, 2668–2686. (ISI)
22. P.T. Toan, T.N. Vo, and M. Razzaghi, Taylor wavelet method for fractional delay differential equations, Eng. Comput. 37 (2021), no. 1, 231–240. (ISI)
21. P.T. Toan and B.G. Kang, Krull dimension of power series rings, J. Algebra 562 (2020), 306-322. (ISI)
20. L.T.N. Giau, B.G. Kang, and P.T. Toan, On the generalized Krull property in power series rings, J. Pure Appl. Algebra 224 (2020), no. 11, 106409. (ISI)
19. T.N. Vo and P.T. Toan, The power series Dedekind-Mertens number, Comm. Algebra 47 (2019), no. 9, 3481-3489. (ISI)
18. L.T.N. Giau and P.T. Toan, A simple proof of the improved Johnson bound for binary codes, Bull. Korean Math. Soc. 56 (2019), no. 2, 391-397. (ISI)
17. P.T. Toan and B.G. Kang, Krull dimension of a power series ring over a valuation domain, J. Algebra 519 (2019), 62-86. (ISI)
16. P.T. Toan, H.K. Kim, and J. Kim, Improved linear programming bound on sizes of doubly constant-weight codes, Finite Fields Th. App. 54 (2018), 230-252. (ISI)
15. L.T.N. Giau and P.T. Toan, On generalized Krull power series rings, Bull. Korean Math. Soc. 55 (2018), no. 4, 1007-1012. (ISI)
14. L.T.N. Giau and P.T. Toan, Krull dimension of Hurwitz polynomial rings over Pr\"ufer domains, Bull. Korean Math. Soc. 55 (2018), no. 2, 625-631. (ISI)
13. M.H. Park, B.G. Kang, and P.T. Toan, Dedekind–Mertens lemma and content formulas in power series rings, J. Pure Appl. Algebra 222 (2018), no. 8, 2299-2309. (ISI)
12. L.T.N. Giau and P.T. Toan, On power series rings over valuation domains, Comm. Algebra 46 (2018), no. 5, 1843-1853. (ISI)
11. L.T.N. Giau and P.T. Toan, Transcendental degree in power series rings, J. Algebra 501 (2018), 51-67. (ISI)
10. P.T. Toan and B.G. Kang, Krull dimension of power series rings over non-SFT domains, J. Algebra 499 (2018), 516-537. (ISI)
9. P.T. Toan and B.G. Kang, Krull dimension and unique factorization in Hurwitz polynomial rings, Rocky Mountain J. Math. 47 (2017), no. 4, 1317-1332. (ISI)
8. B.G. Kang and P.T. Toan, A remark on the Noetherian property of power series rings, Pacific J. Math. 283 (2016), no. 2, 353–363. (ISI)
7. G.W. Chang, B.G. Kang, and P.T. Toan, The Krull dimension of power series rings over almost Dedekind domains, J. Algebra 438 (2015), 170-187. (ISI)
6. B.G. Kang and P.T. Toan, Noetherian property of subrings of power series rings II, J. Pure Appl. Algebra 219 (2015), no. 9, 4055–4060. (ISI)
5. B.G. Kang and P.T. Toan, Noetherian property of subrings of power series rings, Comm. Algebra 43 (2015), no. 2, 440–446. (ISI)
4. H.K. Kim and P.T. Toan, New inequalities for q-ary constant-weight codes, Des. Codes Cryptogr. 73 (2014), no. 2, 369–381. (ISI)
3. H.K. Kim and P.T. Toan, Improved semidefinite programming bound on sizes of codes, IEEE Trans. Inform. Theory 59 (2013), no. 11, 7337–7345. (ISI)
2. B.G. Kang, K.A. Loper, T.G. Lucas, M.H. Park, and P.T. Toan, The Krull dimension of power series rings over non-SFT rings, J. Pure Appl. Algebra 217 (2013), no. 2, 254–258. (ISI)
1. B.G. Kang, H.K. Kim, and P.T. Toan, Delsarte's linear programming bound for constant-weight codes, IEEE Trans. Inform. Theory 58 (2012), no. 9, 5956–5962. (ISI)
