Mailing Address:
PENN STATE BEHREND
1 PRISCHAK BUILDING
ERIE PA 16563
Biography
Previous Experience
- Adjunct Professorship in Mathematics, Seminole State College in Sanford & Oviedo, FL, summers 2005, 2006, 2007, 2008 and 2009
- NSF GO GK-12 Graduate Research Fellowship for academic years 2007-2008 and 2008-2009
- Graduate Teaching Assistantship and full tuition waiver, University of Central Florida, 2004-2007
- Adjunct Instructorship in Mathematics, ITT Tech - Lake Mary Campus, FL, summer 2007
- Adjunct Professorship in Mathematics, University of Central Florida, summer 2006
- Faculty Center for Teaching and Learning (FCTL) Graduate Teaching Certificate Program with stipend, summer 2006
- Instructor of Record, University of Central Florida, summer 2005
Positions Held
- Honors Adviser for Mathematics
- Permanent Faculty Correspondent, Behrend Pi Mu Epsilon Alpha Beta Chapter
Teaching Specialties
- The Calculus Sequence
- Differential & Partial Differential Equations
- Linear Algebra
- Discrete Mathematics
- Number Theory
- Real and Complex Analysis
- Pure & Applied Analysis
Research
Research Interests
- Classical and Quantum Hypergeometric Orthogonal Polynomials in One Variable
- Differential Equations, Functional Equations and Partial Differential Equations
- Difference Equations
- Mathematical Biology
- Numerical Analysis
Funded Projects and Grants
- Proposal “Undergraduate STEM Majors in K-12 Education” accepted for the funded Penn State Grant Development Program. $1,000. Spring 2013.
- Funding for Undergraduate Research and Summer Collaboration. Penn State Behrend Research Incentive Grant Program for Early Career Faculty. $2,500. 2009-2010.
Research Interests
Mathematical Analysis: - Classical and Quantum Hypergeometric Orthogonal Polynomials - Ordinary and Partial Differential Equations - Numerical Analysis - Mathematical Biology
Publications
A New Way to Solve the Dq Appell Equation, Applied Math E-Notes - 2018
Collaborator: Boon Ong, Co-Author
An Elementary Approach to Characterizing the Sheffer Type-0 Orthogonal Polynomial Sequences, Involve: A Journal of Mathematics - 2015
Collaborator: Tanya Riston, Secondary Author
An Existence Theorem for a Nonlocal Global Pandemic Model for Insect-Borne Diseases, International Journal of Differential Equations - July 24, 2014
Collaborator: John Cannon, Co-Author
A Characterization of an Askey-Wilson Difference Equation, Journal of Difference Equations and Applications - June, 2014
Collaborator: Boon Ong, Co-Author
Two Differential Equations for the Linear Generating Function of the Charlier Polynomials, Applied Math E-Notes - October 15, 2013
Collaborator: Elliot Blackstone, Secondary Author
Nonlocal Modeling of Insect Borne Diseases - March, 2013
Collaborator: John Cannon, Secondary Author
On the Higher-Order Sheffer Orthogonal , Springer Briefs in Mathematics - January, 2013
An Epidemiology Model Suggested by Yellow Fever - 2012
Collaborator: John Cannon, Co-Author
Aircraft Carriers - 2011
Atomic Bomb - 2011
Pregnancy - 2011
On a Numerical Method for a Homogeneous - Nonlocal - Nonlinear - Elliptic Boundary Value Problem, Journal of Nonlinear Analysis: Theory Methods and Applications - 2011
Collaborator: J. Cannon
The Sheffer B-Type 1 Orthogonal Polynomial Sequences, Proquest LLC - 2009
A Numerical Method for a Nonlocal Elliptic Boundry Value Problem - 2008
Collaborator: J. Cannon
On the Analysis of a Nonlocal, Elliptic B.V.P. and its Extensions - January, 2008
Collaborator: John Cannon
Education
Ph D, Mathematics, The University of Central Florida
MS, Mathematics, The University of Central Florida
BS, Mathematics, Indiana University of Pennsylvania