

Associate Professor 2022, Ph.D. 2012 Lecturer, Researcher 

Assistant Dean 

A. Education and professional activities
1. Education and degrees
 2006 – 2012: Ph.D., Commutative Algebra, Mathematics, Pohang University of Science and Technology, Korea
 2000 – 2004: B.S., Mathematics and Computer Sciences, University of Science, Vietnam National University Ho Chi Minh City, Vietnam
2. Professional activities
 2019 – current: Assistant Dean, Faculty of Mathematics and Statistics, Ton Duc Thang University, Vietnam
 2017 – current: Lecturer, Faculty of Mathematics and Statistics, Ton Duc Thang University, Vietnam
 2012 – 2016: Postdoc, Department of Mathematics, Pohang University of Science and Technology, Korea
 2006 – 2012: Teaching Assistant, Department of Mathematics, Pohang University of Science and Technology, Korea
 2004 – 2006: Teaching Assistant, Faculty of Mathematics and Computer Science, University of Science, Vietnam National University Ho Chi Minh City, Vietnam
3. Research interests
 Commutative Algebra
 Coding Theory
4. Editorial board membership
 The Korean Journal of Mathematics (2019 – current)
5. Principal investigator of research projects

 Some algebraic aspects of the formal power series ring and applications, National Foundation for Science & Technology Development (NAFOSTED) project 101.042019.06, 20192021.

 Some algorithms in commutative rings with applications in finding solutions of algebraic ODEs and bounds of codes, Foundation of Science and Technology Development of Ton Duc Thang University (FOSTECT) project FOSTECT.2017.BR.02, 20182019.
6. Science and technology awards
 Mathematical Research Award in 2020 of the Vietnam Institute for Advanced Study in Mathematics (VIASM).
7. Supervision
I supervised 7 Masters:

 Lê Thanh Tuấn (2021)
 Phạm Thị Thu Hằng (2021)
 Lê Đức Đạt (2021)
 Nguyễn Tấn Việt Tiến (2020)
 Phạm Văn Thành (2020)
 Phan Nhật Hùng (2020)
 Trần Đoàn Tuyết Khanh (2019)
B. Publications
 Books
 Papers in international journals
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) 4558.
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, Fractionalorder generalized Taylor wavelet method for systems of nonlinear fractional differential equations with application to human respiratory syncytial virus infection, Soft Comput. 26(1) (2022), 165173. (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, 37483759. (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 variableorder fractional diffusion equations using fractionalorder 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), 306322. (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 DedekindMertens number, Comm. Algebra 47 (2019), no. 9, 34813489. (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, 391397. (ISI)
17. P.T. Toan and B.G. Kang, Krull dimension of a power series ring over a valuation domain, J. Algebra 519 (2019), 6286. (ISI)
16. P.T. Toan, H.K. Kim, and J. Kim, Improved linear programming bound on sizes of doubly constantweight codes, Finite Fields Th. App. 54 (2018), 230252. (ISI)
15. L.T.N. Giau and P.T. Toan, On generalized Krull power series rings, Bull. Korean Math. Soc. 55 (2018), no. 4, 10071012. (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, 625631. (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, 22992309. (ISI)
12. L.T.N. Giau and P.T. Toan, On power series rings over valuation domains, Comm. Algebra 46 (2018), no. 5, 18431853. (ISI)
11. L.T.N. Giau and P.T. Toan, Transcendental degree in power series rings, J. Algebra 501 (2018), 5167. (ISI)
10. P.T. Toan and B.G. Kang, Krull dimension of power series rings over nonSFT domains, J. Algebra 499 (2018), 516537. (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, 13171332. (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), 170187. (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 qary constantweight 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 nonSFT 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 constantweight codes, IEEE Trans. Inform. Theory 58 (2012), no. 9, 5956–5962. (ISI)