Daniel Galiffa, Ph.D.

Daniel Galiffa, Ph.D.
Associate Professor, Mathematics
Office Phone
Office Location
86 Benson

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, University of Central Florida

    MS, Mathematics, University of Central Florida

    BS, Mathematics, Indiana University of Pennsylvania