Amos Ong, Ph.D.

Amos Ong, Ph.D.
Assistant Teaching Professor, Mathematics
Office Phone
Office Location
9 Prischak
PENN STATE BEHREND
1 PRISCHAK BUILDING
ERIE PA 16563
Biography

I was born in Singapore on April 1965, the same year Singapore became independent from Malaysia. My brother and I were brought up by our grandparents on this tiny island nation. I have a very happy childhood. I always love Mathematics and my only brother who later became an artist now lives in Vermont.

I got a Master of Arts degree from Canana and got another Master of Arts degree from Rochester, NY. After that, I pursued a PhD on Algebraic Topology.

I met my wife while travelling in Jakarta in Indonesia and now we are married and have a beautiful daughter.

I like spending time with my family be it cooking or dining together or simply going for a walk around the neighborhood. I also like practicing Tai Chi and jogging.

I love teaching and enjoy inspiring students on all the different areas of Mathematics that once inspired me. I am still amazed by the Math that I learn and rediscovering many new things as I embark on my mathematical career.


Teaching Specialties

  • Calculus
  • Algebra
  • Topology

Teaching Statement

I teach mainly Calculus I, II or III. Sometimes, I'll be given classes on Linear Algebra or Technical Calculus that does not have sine or cosine to teach.

For lower level classes, I believe in engaging them in class activity and doing worksheet after every topic. I tell them learning Calculus is very similar to joining a swim team. Both need daily practice, the more you do, the better you become. After you learned the techniques, then you can start to enjoy it.


Research Interests

I did my doctorate in Algebraic Topology, but I also published in other areas of Mathematics. I am now working with Dr. Galiffa on Special Functions and have interest in Golay Code with Dr. Becker. Dr. Galiffa and I have finished Case ONE of the paper entitled "A Characterization of a Askey-Wilson Difference Equation". This is a paper that characterizes orthogonal polynomials base on the Structure Equation given by the Askey-Wilson divided difference operator and the Three-Term Recurrence Relation.

We are working on case Two of the same problem and there is hope that we might be able to discover some more sets of Orthogonal Polynomials.

Research Interests

Algebraic Topology. Special Function

Publications

A Novel Way to Solve the Dq-Appell Equation, Applied Mathematics E-Notes - October (4th Quarter/Autumn), 2018
Collaborator: Daniel Galiffa, Co-Author

A Characterization of an Askey-Wilson Difference Equation, Journal of Difference Equation and Applications - June, 2014
Collaborator: Daniel Galiffa, Co-Author

Beyond the Basel Problem: Sums of Reciprocals of Figurate Numbers, The College Mathematics Journal - 2008
Collaborators: L. Downey; J. Sellers

Extremal vectors for a class of operators, Sarajevo Journal of Mathematics - August 21, 2008
Collaborator: L. Downey

Sum of a Class of Series and Extremal Vectors for a Class of Operators, Sarajevo Journal of Mathematics. - 2007

The Homotopy Type of the Symmetric Products of Bouquets of Circles, International Journal of Mathematics - 2003

Symmetric Product of Surfaces, International Journal of Mathematics - May 31, 2003

Pseudo-Vector Bundles and Quasifibrations., Hokkaido Mathematical Journal - 2000
Collaborators: M. Guest; M. Kwiecinski

Education

Ph D, Pure Math -- Algebraic Topology, University of Rochester

MA, Mathematics, University of Rochester

MA, Mathematics , York University

BS, Mathematics, National Univesity of Singapore