Math 310: Linear Algebra

Math 300: Mathematical Reasoning (Seasoning!)

Math 590: Combinatorics I

Math 001: Elementary Algebra

Math 131: Excursion into Modern Mathematics

Math 211: Mathematical Structures

Math 200: Calculus I

Math 201: Calculus II

Math 300: Mathematical Reasoning (Seasoning!)

Math 301: Differential Equations

Math 307: Calculus III

Math 310: Linear Algebra

Math 407: Advanced Calculus (Proof Based)

Math 428: Functions of Complex Variable

Math 507: Real Analysis I, Graduate Course

Math 508: Real Analysis II, Graduate Course

Math 525: Introduction to Combinatorics Graduate course

Math 591: Topics in Graph Theory, Graduate Course [Group Teahing]

Math 691: Advanced Combinatorics

Enumerative and Algebraic Combinatorics, Cobinatorial Number Theory, and Computer Algebra/Algorithmic Proof Methods

• Elementary proof of congruences involving sum of binomial coefficients (2017). To appear in International J. of Number Theory.

• Using the "Freshman's Dream" to Prove Combinatorial Congruences, American Mathematical Monthly, v. 124 No. 7 (Aug.-Sept. 2017), 597-608. M. Apagodu and D. Zeilberger

• Analysis of the gift exchange problem, Electronic J. of Combinatorics, Volume 24(3), paper P3.9 (2017) , Moa Apagodu, David Applegate, Neil J. A. Sloane, and Doron Zeilberger.

• Solution to Problem #11928, American Mathematical Monthly ( preprint), 2016.

• Solution to Problem #11916, American Mathematical Monthly ( preprint), 2016.

• Solution to Problem #11899, American mathematical Monthly ( preprint), 2016.

• Solution to Problem #11897, American mathematical Monthly ( preprint), 2016.

• Wilf's ``Snake Oil" Method Proves an Identity in The Motzkin Triangle (2015). http://arxiv.org/abs/1507.07660. With T. Amdeberhan and D. Zeilberger.

• New Series Representations for Jacobi's Triple Product Identity and more via the q-Markov Method, Adv. in Appl. Math (2011)

• A short WZ-proof of Euler's Fundamental sum identity and more. J. of Number Theory, 131(2011)

• Series Evaluations of a Quartic Integrals. Ramanujan Journal,(2011)

• Some nice sums are almost as nice if you turn them upside down. J. Combinatorics and Number Theory Volume 2 (2010). With D. Zeilberger.

• Searching for Strange Identities with Sheer Brute Force, (2008). With D. Zeilberger Appeared in INTEGERS, 8(2008), A36.

• FIVE Applications of Wilf-Zeilberger Theory to Enumeration and Combinatorics, Computer Alebra 2006, Latest Advance in Symbolic Algorithms, edited by Ilias Kotsireas and Eugene Zima, (2007). With D. Zeilberger.

• Multi-variable Zeilberger and Alkumvist-Zeilberger Algorithms and the Sharpening of Wilf-Zeilberger Theory. With D. Zeilberger. Adv. Appl. Math. 37(2006)(Special Regev issue), 139-152.

• Infinite Families of Accelerating Series for some Classical Constants Using Markoc-WZ-Method, J. Discrete Mathematics and Theoretical Computer Science, 7, No 1(2005), 11-24.

• The q-Markov-Method, Annals of Combinatorics, 9(2005), 205-221.

• (with D. Zeilberger) Sharp Upper Bounds for the Order of The Recurrence Outputted by the Zeilberger and q-Zeilberger Algorithms, J. of Symbolic Computation, 39(2005), 201-207.

• The Markov-WZ-Method, Elect. J. of Combinatorics, V11(1), R53.8. A. (with D. Zeilberger)

• A WZ Proof of a "Curious" Identity, INTEGERS 3 (2003), A6. (with S.B.Ekhad)

Maple Programs

• Evaluations of Some Strange ${}_2F_1$ hypergeometric functions with Rational Arguments

• (with P. Gaskill(undergraduate student) and D. Zeilberger) The Binomial Theorem for (N+n)^r (where Nf(n)=f(n+1)) preprint

• (with S.Chow) Counting Hexagonal Lattice Animals preprint

• An Unorthodox WZ proof of identities involving values of the Gamma function at rational points preprint

• One-parameter Generalizations of Ramanujan's Formula for pi (2009) preprint

• Nineteen Strange 2F1 identities accompaning the article " Searching for Strange identities by Sheer Brute Force

Sample Journal Referee

. American Mathematical Monthly

. International Journal of Number Theory

. European Journal of Combinatorics

. Open Mathematics

Sample Recent Talks

. VCU-Computer Science on Hypergeometric Summation

. VCU-Mathematics Department on Hypergeometric Summation

. JMM-Meeting Special Session On Arthematic Properties of Combinatorial Sequences

. Longwood University Colloquium (Undergraduate)

My favorite math webpages

. Doron Zeilberger (Rutgers) D. Zeilberger

. Hurbert Wilf (U Penn) H. Wilf

. George Andrews (Penn State) G. Andrews

. Richard Stanley (MIT) R. Stanley

. Victor Moll (Tulane) V. Moll

. Tewodros Andeberhan (Tulane) Teddy

. Ken Ono (Emory) K. Ono

. Mathias Beck (San Francisco State Univ) M. Beck

Electronic Journals

. Elect. J. of Combinatorics Founded By H. Wilf

. Elect. J. Combinatorial Number Theory Number Theory + Combinatorics

. Personal J. of Doron Zeilberger D Zeilberger

. Annals of Combinatorics The Combinatorics Net

. The arXive arXive

On Going Projects

Integer Partition Functions

In Search of Identities

Applications of WZ Theory

My favorite book of all time

. A=B

My two favorite Complex Analysis Books

. Conway

.Newman