# 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 a dozen articles in various mainstream journals in the area of logic 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 seven 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 the same area, called reaction systems. For more information on his research contributions, please visit https://www.researchgate.net/profile/Wen_Chean_Teh

## 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

p/s: Memberships are intermittent.

## Grants

Strictly Minimal Reaction Systems as Novel Canonical Bio-Inspired Computing Models, FRGS, ongoing application.

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 at least two potential PhD or Master students for this. MSc (Mixed Mode) and undergraduate students are welcome to enquire as well to work on some publishable project. 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 P. Ghajendran, W. C. Teh*, On M-Equivalence and Strong M-Equivalence for Parikh Matrices, * Internat. J. Found. Comput. Sci.* (to appear)

2 W. C. Teh*, A. Atanasiu, Minimal Reaction Systems Revisited and Reaction System Rank, *Internat. J.** Found. Comput. Sci.* (to appear)

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

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

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

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

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

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

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

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

14 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.

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

The following manuscripts are still under review.

16. Z. Y. Teoh and W. C. Teh*, Heterogeneous Ramsey Algebras and Classification of Ramsey Vector Spaces (under review)

17. W. C. Teh*, A. Atanasiu and P. Ghajendran, On Strongly M-Unambiguous Prints and Serbanuta’s Conjecture for Parikh Matrices,

(under review)

18. P. Ghajendran and W. C. Teh*, Strong (2.t) and Strong (3.t) Transformations for Strong M-Equivalence** **(under review)

19. A. Rajah, W. C. Teh* and Z. Y. Teoh, Are Ramsey Algebras Essentially Semigroups (under review)

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

21. W. C. Teh*, Z. Y. Teoh, Ramsey Orderly Algebras as a New Approach to Ramsey Algebras (under review)

22. W. C. Teh*, N. Womasuthan, On Irreducible Reaction Systems (under review)

## Teaching

MAT100 Mathematical Foundations (2016/2017 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

Ghajendran Poovanandran, Ph.D., main supervisor, ongoing since 2016.

Teoh Zu Yao, Ph. D., main supervisor, ongoing since 2015.

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.

## 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), 18 Dec 2016.