# Teh Wen Chean

ORCID ID: 0000-0001-8424-9820 MR Author ID: 1092420 Researcher ID: B-2632-2018

Dr. Teh Wen Chean graduated from The Ohio-State University, under the mentorship of Timothy Carlson. His current research interests are in combinatorics, the theory of natural computing, Ramsey theory, and logic. Studying the mathematical properties of mathematical objects motivated by real life applications using rigorous and combinatorial mathematical reasoning is fascinating to him. Since joining USM in early 2013, he has successfully published twenty-six articles in various mainstream journals in the area of logic, combinatorics, and theoretical computer science. He is the principal investigator of a few grants, including the national FRGS grant twice. His publication in the Bulletin of the Malaysian Mathematical Sciences Society received the best article award by PERSAMA in 2015. His work on Parikh matrices especially is quite fruitful and results so far in thirteen publications in ISI journals, some among which result from a collaborative effort with respectable Professor Emeritus Adrian Atanasiu from Romania, Professor Emeritus K.G. Subramanian from India, and his respectable protege Ghajendran Poovanandran. Due to this success, he is currently active in another relatively new topic from a similar area, called reaction systems. For more information on his research contributions, please visit https://www.researchgate.net/profile/Wen_Chean_Teh

## Research

My research interests is in the theory of natural computing, combinatorics, and graph theory. I have recently published in three different topics: reaction systems, Parikh matrices, and Ramsey algebras. This productive effort has been kept going by joint-work with my two recent PhD students. Meanwhile, the research on reaction systems is gaining some momentum lately.

First International Workshop on Reaction Systems

Second International Workshop and School on Reaction Systems

I am interested in exploration of new research directions and open to collaboration with existing reseachers or potential students, especially in graph theory, theoretical computer science, and combinatorics. It is my aim to venture into a fourth research direction very soon, and if you are on board, together this pioneering endeavour will reach a greater height.

As a mentor to my research mode students, I always share my professional experience and knowledge, nurturing them into all-around academicians in the future. I will provide them with necessary assistance at the right moment so that they can live up to their own potential. As a result, my past PhD student Dr. Teoh has graduated in less than three years of study with three ISI papers accepted. Also, he successfully made an oral presentation in the Asian Mathematical Conference 2016 (in Bali) with travel support from the organizer. Meanwhile, within two years, Mr. Poovanandran has completed seven manuscripts for consideration by ISI journals, five of which have been accepted for publication. He also received the best student presentation award in the 4th International Conference on Mathematical Sciences (ICMS4), organized by the National University of Malaysia in on 15-17 Nov 2016. He has successfully joined Asia Pacific University of Technology & Innovation as a faculty member, while waiting for his Viva.

## Financial Support

Currently, a PhD (or/and a MSc) research international/local student with strong mathematical background is in demand to study reaction systems. The student is expected to work closely with me. The duration is 2 to 3 years for PhD and 1 to 1.5 years for MSc. Monthly financial support between RM1800 to RM2300 (for MSc, RM1300 to RM1500) is available from my national research grant based on merit and on a competitive basis.

Vacancies for postdoctorate research positions may also be available anytime, supported by USM or through the USM-TWAS fellowship. The application duration is short. If you are interested to collaborate with me through such opportunity, please send me your resume earlier and keep in touch. I will remind you when the position is open for application.

MSc (Mixed Mode) and undergraduate students are welcome to enquire to work on some research-oriented projects. Internship may be available to aspiring undergraduate students, who are independent and enthusiastic to do research early on during their semester break. I would recommend only projects that have research value.

Reserch Grants (as principal investigator)

Minimal Reaction Systems as Novel Canonical Bio-Inspired Computing Models, National FRGS grant, 1 Jan 2019 - 31 Dec 2020.

Parikh Rewriting System as a Feasible Solution to the Elusive Injectivity Problem of Parikh Matrices, USM RU grant, 1 Mar 2017 - 31 Aug 2019.

Ramsey Orderly Algebras - a Route to an Ultimate Characterization of Ramsey Algebras, National FRGS grant, 1 Dec 2014 - 31 May 2017.

On Parikh Matrices and the Injectivity Problem, USM short term grant, 15 Aug 2014 - 14 Feb 2017.

## Publications

ISI/MathScinet Publications

*****Corresponding Author

1 W. C. Teh, Ramsey Algebras and Strongly Reductible Ultrafilters, *Bull. Malays.** Math. Sci. Soc.* (2) 37(4) (2014), 931-938.

2 W. C. Teh*, K. H. Kwa, Core Words and Parikh Matrices, *Theoret. Comput. Sci. *582 (2015) 60-69.

3 W. C. Teh, On Core Words and the Parikh Matrix Mapping, *Internat. J. Found.** Comput. Sci.* 26(1) (2015), 123-142.

4 Z. S. Tan*, M. H. Ang, W. C. Teh, Group Ring Codes over a Dihedral Group, *Malays. J. Math.** Sci.* 9(S) (2015), 37-52.

5 W. C. Teh, Ramsey Algebras and the Existence of Idempotent Ultrafilters, *Arch. Math. Log.* 55(3-4) (2016), 475-491.

6 W. C. Teh, Ramsey Algebras, *J. Math. Log.* 16(2) (2016), 1650005, 16 pp.

7 W. C. Teh*, A. Atanasiu, On a Conjecture about Parikh Matrices, *Theoret.Comput. Sci.* 628 (2016), 30-39.

8 W. C. Teh, Parikh Matrices and Parikh Rewriting Systems, *Fund. Inform.* 146(3) (2016), 305-320.

9 A. Atanasiu, W. C. Teh*, A New Operator over Parikh Languages, *Internat. J.** Found. Comput. Sci.* 27(6) (2016), 757-769.

10 W. C. Teh, Parikh Matrices and Strong M-equivalence, *Internat. J. Found. Comput.** Sci. *27(5) (2016), 545-556.

11 W. C. Teh, Separability of M-equivalent Words by Morphisms, *Internat. J. Found.* *Comput. Sci. *27(1) (2016), 39-52.

12 W. C. Teh*, A. Atanasiu, Irreducible Reaction Systems and Reaction System Rank, *Theoret. Comput. Sci.* 666 (2017), 12-20.

13 W. C. Teh, Ramsey Algebras and Formal Orderly Terms, *Notre Dame J. Form. Log. *58(1) (2017), 115-125.

14 W. C. Teh*, A. Atanasiu, Minimal Reaction Systems Revisited and Reaction System Rank, *Internat. J.** Found. Comput. Sci.* 28(3) (2017), 247-261.

15. A. Rajah, W. C. Teh* and Z. Y. Teoh, Role of Associativity in Ramsey Algebras, *Proc. Indian Acad. Sci. Math. Sci.* 127(5) (2017), 769-778.

16 W. C. Teh* and Z. Y. Teoh, Ramsey Orderly Algebras as a New Approach to Ramsey Algebras, *East-West J. Math. *19(1) (2017), 89-102.

17 G. Poovanandran, W. C. Teh*, On M-Equivalence and Strong M-Equivalence for Parikh Matrices, * Internat. J. Found. Comput. Sci.* 29(1) (2018), 123-137.

18 Z. Y. Teoh and W. C. Teh*, Heterogeneous Ramsey Algebras and Classification of Ramsey Vector Spaces, *Bull. Malays.** Math. Sci. Soc.* (2) 41(2) (2018), 1011-1028.

19 W. C. Teh*, N. Womasuthan, On Irreducible Reaction Systems, *Malays. J. Math. ** Sci.* 12(1) (2018), 25-34.

20 W. C. Teh*, A. Atanasiu and G. Poovanandran, On Strongly M-Unambiguous Prints and Serbanuta’s Conjecture for Parikh Matrices, *Theoret. Comput. Sci.* 719 (2018), 86-93.

21 W. C. Teh*, K. G. Subramanian, B. Somnath, Order of Weak M-Relation and Parikh Matrices, *Theoret. Comput. Sci. *743 (2018), 83-92.

22 W. C. Teh*, Compositions of Functions and Permutations Specified by Minimal Reaction Systems, * Internat. J. Found. Comput. Sci.* 29(7) (2018), 1165-1179.

23 G. Poovanandran and W. C. Teh*, Elementary Matrix Equivalence and Core Transformation Graphs for Parikh Matrices, *Discrete Appl. Math. *251 (2018), 276-289.

24 M. Javaid*, M. Ahmad, M. Hussain and W. C. Teh, Bounds of *F*-Index for Unicyclic Graphs with Fixed Pendent Vertices, *J. Prime. Res. Math.** *14 (2018), 51-61.

25 M. Javaid*, M. Abbas, J. Liu, W. C. Teh and J. Cao, Topological Properties of Four-Layered Neural Networks, *J. Artificial Intelligence Soft Comput. Res.** *9(2) (2019), 111-122.

26 Z. Y. Teoh and W. C. Teh*, A Ramsey Algebraic Study of Matrices, * Algebra Discrete Math.* (in press)

27 G. Poovanandran and W. C. Teh*, Strong (2.t) and Strong (3.t) Transformations for Strong M-Equivalence, *Internat. J.** Found. Comput. Sci.*

**(in press)**

28 A. Atanasiu, G. Poovanandran and W. C. Teh*, Parikh Matrices for Powers of Words, *Acta Inform** . *(in press)

The following manuscripts are still under review.

29 W. C. Teh, On M-Unambiguity of Parikh Matrices (under review)

30 G. Poovanandran, A. Atanasiu, and W. C. Teh*, Parikh Motivated Study in Repetition in Words (under review)

31 W. C. Teh*, Z. C. Ng, M. Javaid, and Z. J. Chern, Parikh Word Representability of Bipartite Permutation Graphs (under review)

32 G. Poovanandran and W. C. Teh*, M-Ambiguity Sequences for Parikh Matrices and Their Periodicity Revisited (under review)

33 Z. J. Chern, K.G. Subramanian, A. Ahmad, and W. C. Teh*, A New Study of Parikh Matrices Restricted to Terms (under review)

The following works are still under construction or ongoing.

34 W. C. Teh*, some problems on simulation by minimal reaction systems (ongoing, to be submitted before 30 April 2019.)

35 Some problem on reaction systems (on hold)

36 A. Atanasiu, G. Poovanandran*, and W.C. Teh, Some potential problem on Parikh matrices (ongoing)

37 Some problems on burning number of finite graphs (ongoing)

38 Some potential direction in word problems (exploring)

## Teaching

“There is no such thing as an unmotivated student. There are, however, students in unmotivated states” — Eric Jensen.

Ever since joining USM in early 2013, it is my pleasure to be assigned to teach various pure mathematics courses, both at the undergranduate and the graduate level, which put more emphasis on abstraction and rigor relatively among the courses offered. Among all courses, I enjoy teaching Calculus I to the undergraduate freshmen the most. Guided by Eric Jensen’s quote, I consider my role as a Calculus instructor not so much as a foundational knowledge disseminator that equips the students for the rest of the mathematics courses, but as a motivator that galvanizes each individual student to be more independent and to live up to his/her potential so that he/she is more prepared for the challenges ahead in his future. Appreciation goes to the dedicated teachers from the Math Cafe that provides gratis tutoring to the freshmen.

MAT100 Mathematical Foundations (2016/2017 Sem 1, 2017/2018 Sem 1)

MAT101 Calculus I (2013/2014 Sem 1, 2014/2015 Sem 2, 2015/2016 Sem 2, 2016/2017 Sem 2, 2017/2018 Sem 2)

MAT201 Calculus II (2018/2019 Sem 1)

MSS301 Real Analysis (2014/2015 Sem 1)

MGM501 Analysis (2012/2013 Sem 2)

MGM531 Euclidean Geometry (2013/2014 Sem 2)

## Supervision

Ghajendran Poovanandran, Ph.D., main supervisor, dissertation submitted in early Nov 2018, on Parikh matrices.

Zu Yao Teoh, Ph. D., main supervisor, completed in 2018, on Ramsey algebras.

Zi Shyuan Tan, M.Sc., co-supervisor, completed in 2016, on group ring codes.

Zi Jing Chern, M.Sc. (mixed mode), main supervisor, ongoing since 2018, on Parikh matrices.

Ghajendran Poovanandran, M.Sc. (mixed mode), main supervisor, completed in 2016, on Parikh matrices.

Nhivashni Womasuthan, M.Sc. (mixed mode), main supervisor, completed in January 2017, on reaction systems.

Zi Jing Chern, B.Sc., minor project supervisor, completed in 2018, on Parikh matrices. (Part of this work was presented in ICMSS2018.)

## Recognition

Phil Huneke Excellence in Teaching Award, Ohio-State University, 2008.

Main Award of PERSAMA (category of publication), 2015.

I am a frequent reviewer for the AMS Mathematical Reviews. I was also an invited reviewer for the following ISI/MathScinet journals.

Advanced Applied Mathematics

Discrete Applied Mathematics

Information and Computation

International Journal of Foundations of Computer Science

Acta Informatica

Fundamenta Informaticae

I was the thesis examiner for the following students.

Lois Adewoye Ademola (PhD, 2017) - Associativity of Moufang Loops of Odd Order

Ng Zhen Chuan (PhD, 2017) - Bohr's Inequality and its Extensions

## Major Presentations

Parikh Rewriting Systems - A New Approach to the Injectivity Problem of Parikh Matrices, International Congress of Mathematicians, Rio de Janeiro, 1-9 Aug 2018.

A Note on Simulation of Reaction Systems by the Minimal Ones, International Conference on Mathematical Sciences and Statistics, Putrajaya, 6-8 Feb 2018.

Introduction of Ramsey Orderly Algebras as Localized Versions of Ramsey Algebras, International Conference of Mathematics and Applications, Bangkok, 17-19 Dec 2016.

Rank of Functions Specified by Reaction Systems, Mahidol-USM Joint-Workshop, Mahidol University, 16 Dec 2016.

On M-unambiguity of Parikh Matrices, Asian Mathematical Conference, Bali, 25-29 Jul 2016.

Ramsey Algebras, International Congress of Mathematicians, Seoul, 13-21 Aug 2014.

## Membership

Malaysian Mathematical Sciences Society

American Mathematical Society

European Mathematical Society

European Association for Theoretical Computer Science

Association for Symbolic Logic

The Ohio-State University Alumni Association

Universiti Sains Malaysia Alumni Association

p/s: Memberships are intermittent.