# Teh Wen Chean

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 eighteen 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. 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 eight publications in ISI journal, two among which result from a collaborative effort with respectable Professor Emeritus Adrian Atanasiu from Bucharest University, Romania. Due to this success, he is currently embarking on another new topic from similar area, called reaction systems. For more information on his research contributions, please visit https://www.researchgate.net/profile/Wen_Chean_Teh

Prospective PhD or Master by research students are welcome to enquire. Projects on current research topics are also available to Mixed mode (Mathematics) Master students with some pure mathematics background. Financial support** **is available on a competitive basis.

## Professional 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.

## Grants

Parikh Rewriting System as a Feasible Solution to the Elusive Injectivity Problem of Parikh Matrices, USM RU grant, 1 Mar 2017 - 28 Feb 2019.

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

On Parikh Matrices and the Injectivity Problem, USM short term grant, 15 Aug 2014 - 14 Feb 2016.

p/s: Only grants where Dr. Teh is the principal investigator are listed.

## Research

My research interests is in the theory of natural computing, combinatorics, and graph theory. I am considering venturing into membrane computing, a very active area of research. Nonetheless, 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 PhD students currently. The research on reaction systems is increasingly active and I am looking for a potential PhD or Master student to work on it. Priority of financial support will be given if you embark on this endeavour. MSc (Mixed Mode) and undergraduate students are welcome to enquire as well to work on some research-oriented projects. Internship may be available to aspiring undergraduate students, who are enthusiastic to do research early on, during their long semester break. Financial support from my grants is available on a competitive basis.

https://www.researchgate.net/profile/Wen_Chean_Teh

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 PhD student Mr. Teoh successfully made an oral presentation in the Asian Mathematical Conference 2016 (in Bali) with travel support from the organizer. Meanwhile, within one year of research work, Mr. Poovanandran has submitted three manuscripts for consideration by ISI journals. 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.

## 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, On the Role of Associativity in Ramsey Algebras, *Proc. Indian Acad. Sci. Math. Sci.* (to appear)

16 G. Poovanandran, W. C. Teh*, On M-Equivalence and Strong M-Equivalence for Parikh Matrices, * Internat. J. Found. Comput. Sci.* (to appear)

17 Z. Y. Teoh and W. C. Teh*, Heterogeneous Ramsey Algebras and Classification of Ramsey Vector Spaces, *Bull. Malays.** Math. Sci. Soc.* (2) (to appear)

18 Z. Y. Teoh and W. C. Teh*, A Ramsey Algebraic Study of Matrices, * Algebra Discrete Math.* (to appear)

19 W. C. Teh*, N. Womasuthan, On Irreducible Reaction Systems, *Malays. J. Math. ** Sci.* (to appear)

20 W. C. Teh*, Compositions of Functions and Permutations Specified by Minimal Reaction Systems, * Internat. J. Found. Comput. Sci.* (to appear)

The following manuscripts are still under review.

21 W. C. Teh*, A. Atanasiu and G. Poovanandran, On Strongly M-Unambiguous Prints and Serbanuta’s Conjecture for Parikh Matrices, (under review)

22 G. Poovanandran and W. C. Teh*, Strong (2.t) and Strong (3.t) Transformations for Strong M-Equivalence** **(under review)

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

24 W. C. Teh, Ramsey Orderly Algebras as a New Approach to Ramsey Algebras (under review)

25 G. Poovanandran and W. C. Teh*, Elementary Matrix Equivalence and Core Transformation Graphs for Parikh Matrices (under review)

26 A. Atanasiu, G. Poovanandran and W. C. Teh*, Parikh Matrices for Powers of Words (under review)

The following manuscripts are still under construction.

27 W. C. Teh*, K. G. Subramanian, B. Somnath, some problems related to Parikh matrices (ongoing)

28 W. C. Teh*, some problems on reaction systems (ongoing)

29 Z. Y. Teoh and W. C. Teh*, some problems on Ramsey algebras (ongoing)

30 Z. J. Chern and W. C. Teh*, some problems on Parikh matrices (ongoing)

31 G. Poovanandran, A. Atanasiu, and W. C. Teh*, continuation of item 26 and some new problems (ongoing)

## 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 challenge 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)

MSS301 Real Analysis (2014/2015 Sem 1)

MGM501 Analysis (2012/2013 Sem 2)

MGM531 Euclidean Geometry (2013/2014 Sem 2)

## Supervison

Tan Tian Siang, Ph.D., main supervisor, ongoing since 2017, in game theory.

Ghajendran Poovanandran, Ph.D., main supervisor, ongoing since 2016, on Parikh matrices.

Teoh Zu Yao, Ph. D., main supervisor, ongoing since 2015 and thesis expected to be submitted end of 2017, on Ramsey algebras.

Tan Zi Shyuan, M.Sc., co-supervisor, completed in 2016.

Ghajendran Poovanandran, M.Sc. (mixed mode), completed in 2016.

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

## Recognition

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

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

## Major Conferences & Presentations

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

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

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

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