EDUCATION
B.A. (Mathematics), Rutgers University, May 1989
M.A. (Mathematics), The Pennsylvania State University, August 1994
Additional Graduate Study (22 credits in Statistics), Texas A&M University and University of Kentucky, 1994-1999
Ph.D. (Mathematics), University of Kentucky, May 2002

FULL-TIME ACADEMIC APPOINTMENTS
1995           Lecturer of Mathematics, Sam Houston State University, Huntsville, TX
1996-1997 Instructor of Mathematics and Statistics, Lexington Community College, Lexington, KY
2000-2002 Instructor of Mathematics, Pennsylvania State University, University Park, PA
2002-2003 Visiting Assistant Professor of Mathematics, Pennsylvania State University, University Park, PA
2003-2006 Hill Assistant Professor of Mathematics, Rutgers University, New Brunswick, NJ
2006-2007 Assistant Professor of Mathematics, Rutgers University, New Brunswick, NJ
2007-         Tenure-Track Assistant Professor of Mathematics, Georgia Southern University, Statesboro, GA

RESEARCH INTERESTS
Number theory, combinatorics, classical analysis, symbolic computation, mathematics of Ramanujan.

DOCTORAL DISSERTATION
Computer Assisted Explorations of Rogers-Ramanujan Type Identities

Ph.D. THESIS ADVISOR
George E. Andrews, Evan Pugh Professor of Mathematics, The Pennsylvania State University

POSTDOCTORAL ADVISORS
2002-2003: George E. Andrews, Evan Pugh Professor of Mathematics, The Pennsylvania State University.
2003-2007: Doron Zeilberger, Board of Governors Professor of Mathematics, Rutgers University.

REFEREED PUBLICATIONS

1. (with J. P. O. Santos) "q-Pell sequences and two identities of V. A. Lebesgue," Discrete Mathematics 257/1 (2002) 125-142.
2. "Finite Rogers-Ramanujan type identities," Electronic J. Combin. 10(1) (2003) #R13, 122 pp.
3. (with J. Sellers and G. Mullen) "Bijections and congruences for generalizations of partition identities of Euler and Guy," Electronic J. Combin. 11(1) (2004) #R43, 19 pp.
4. "RRtools---a Maple package for aiding the discovery and proof of finite Rogers-Ramanujan type identities," J. Symbolic Comput., 37 (2004) 415-448.
5. "A combinatorial proof of a partition identity of Andrews and Stanley," Int. J. Math. Math. Sci 2004/47, 2495-2503.
6. "On identities of the Rogers-Ramanujan type," Ramanujan J. 11 (2006) 403-429.
7. "On series expansions of Capparelli's infinite product," Adv. Appl. Math. 33/2 (2004) 397-408.
8. "Identitites of the Rogers-Ramanujan-Bailey type," J. Math. Anal. Appl. 308/2 (2005) 669-688.
9. "q-Difference equations and identities of the Rogers-Ramanujan-Bailey type," J. Difference Equ. Appl. 10 (2004) 1069-1084.
10. (with D. Zeilberger) "Disturbing the Dyson conjecture (in a GOOD way)," Experimental Math. 16:2 (2006) 187-191.
11. "On simplifications of certain q-multisums," Adv. Appl. Math. 39/2 (2007) 260-268.
12. "Disturbing the Dyson conjecture, in a generally GOOD way," J. Combin. Theory, Ser. A 113/7 (2006) 1368-1380.
13. "Identities of the Rogers-Ramanujan-Slater type," Int. J. Number Theory 3 (2007) 293-323.
14. "A partition bijection related to the Rogers-Selberg identities and Gordon's theorem," J. Combin. Theory, Ser. A 115/1 (2008) 67-83.
15. (with D. Bowman and J. McLaughlin) "Some more identities of Rogers-Ramanujan type," Ramanujan J. 18 (2009) 307-325.
16. "Disturbing the q-Dyson conjecture," Tapas in Experimental Mathematics, ed. Tewodros Amdeberhan and Victor H. Moll, Contemp. Math. 457 (2008) 265-271.
17. (with J. McLaughlin) "Ramanujan-Slater type identities related to the moduli 18 and 24," J. Math. Anal. Appl. 344/2 (2008) 765-777.
18. "On the ordinary and signed Göllnitz-Gordon partitions," South East Asian J. Math. Math. Sci 6 (2008) 63-68.
19. (with J. McLaughlin) "Combinatorics of Ramanujan-Slater type identities," Integers 9 (supplement) (2009) paper #10, 14 pp.
20. (with J. McLaughlin and P. Zimmer) "Lifting Bailey pairs to WP-Bailey pairs," Discrete Math. 309 (2009) 5077-5091.
21. (with J. McLaughlin and P. Zimmer) "Rogers-Ramanujan computer searches," J. Symbolic Comput. 44 (2009) 1068-1078.
22. (with J. McLaughlin and P. Zimmer) "Rogers-Ramanujan-Slater type identities," Electronic J. Combin. 15 (2008) #DS15, 59 pp.
23. "A Rademacher-type formula for overpartitions," submitted.
24. (with S. Corteel and C. Savage) "Lecture hall sequences, q-series, and asymmetric partition identities," Proceedings of the Conference on Partitions, q-Series, and Modular Forms, University of Florida, March 12-16, 2008, to appear.
25. "Towards an automation of the circle method," submitted.
26. "Rademacher-type formulas for restricted partition and overpartition functions," Ramanujan J., to appear.
27. (with J. McLaughlin and P. Zimmer) "Some implications of Chu's ₁₀ψ₁₀ generalization of Bailey's ₆ψ₆ summation formula," submitted.
28. (with C. D. Savage) "On an identity of Gessel and Stanton and the new little Göllnitz identities," submitted.

• Member, Board of Editorial Advisors, Canadian Journal of Pure and Applied Sciences.
• Co-editor, Selected Works of George Andrews, under contract with Imperial College Press.

• Grant for Professional Travel, Georgia Southern University Faculty Development, Spring 2008

1. "Computer Algebra and Rogers-Ramanujan Type Identities," Special session in Special Functions and q-series, AMS/MAA Joint Meetings (no. 983), Baltimore, MD, January 16, 2003.
2. "A Combinatorial Proof of a Partition Identity of Andrews and Stanley," Special session in q-series, AMS sectional meeting (no. 984), Baton Rouge, LA, March 15, 2003.
3. "Rogers-Ramanujan-Bailey Type Identities," Conference on Additive Number Theory, University of Florida, Gainesville, November 17, 2004.
4. "Rogers-Ramanujan-Slater Type Identities," Maine-Québec Number Number Theory Conference, University of Maine, Orono, ME, October 1, 2005. (30 minutes)
5. "Multiparameter Bailey Pairs and Rogers-Ramanujan-Slater Type Identities," Special session on Theory of Infinite Dimensional Lie Algebras, Vertex Operator Algebras, and Related Topics, AMS Sectional Meeting (no. 1009), Annandale-on-Hudson, NY, October 9, 2005.
6. "A Partition Bijection Related to the Rogers-Selberg Identities," Maine-Québec Number Number Theory Conference, Université Laval, Québec City, Canada, October 1, 2006.
7. "Disturbing the Dyson Conjecture (in a GOOD Way)," Special Session on Experimental Mathematics, AMS/MAA Joint Meetings (no. 1023), New Orleans, LA, January 5, 2007.
8. "Identities of the Ramanujan-Slater type," Integers Conference 2007, University of West Georgia, Carrollton, GA, October 26, 2007.
9. "A Partition Bijection Relating the Rogers-Selberg Identities to a Special Case of Gordon's Theorem," Conference on Partitions, q-Series and Modular Forms, University of Florida, Gainesville, March 12, 2008
10. "Computer Algebra and Rademacher Type Partition Formulas," Combinatory Analysis 2008: A Conference in Honor of George Andrews' 70th Birthday, Pennsylvania State University, State College, PA, December 5, 2008.
11. "Computer Algebra and Rademacher Type Partition Formulas," PANTS IX (Palmetto Number Theory Series), Clemson University, February 8, 2009. (30 minutes)
12. "A new look at some partition theorems of Göllnitz," Conference on Quadratic Forms, Sums of Squares, Theta Functions and Integral Lattices, University of Florida, March 14, 2009.
13. "A new look at the partition identities of Göllnitz," Special Session on Applications of Algebraic and Geometric Combinatorics, AMS Southeast Sectional Meeting (no. 1048), Raleigh, NC, April 4, 2009.

• "Rogers-Ramanujan Toolkit for Maple," East Coast Computer Algebra Day, Queens, NY, May 18, 2002.
• "On the Rogers-Selberg Identities and Gordon's Theorem," Southeast Regional Meeting On Numbers, University of North Carolina at Greensboro, April 18, 2009.

• "The RRtools Maple package," Special Functions in the Digital Age, IMA Workshop, Minneapolis, MN, July 29, 2002.

• "An Algorithmic Approach to Rogers-Ramanujan Type Identities," University of South Florida, November 22, 2002.
• "Integer Partitions and Identities of the Rogers-Ramanujan Type," Kent State University, February 17, 2006.
• "Rogers-Ramanujan-Slater Type Identitites," West Chester University, October 4, 2006.
• "Polynomial Generalizations of q-Series Identities," Georgia Southern University, October 15, 2007.

• "Partitions of Integers," Special lecture in the Rutgers Mathematical Careers and Ideas series, March 30, 2005.

1. "Computer Explorations of Rogers-Ramanujan Type Identities," Penn State Partitions Seminar. Part 1: April 19, 2001; Part 2: May 3, 2001.
2. "Maple and Mathematica for Research in q-series," Penn State Partitions Seminar, September 6, 2001.
3. "Computer Proofs and the WZ method," Penn State Partitions Seminar, September 13, 2001.
4. "The Colorful Combinatorics of Lebesgue's Identity," Penn State Partitions Seminar, November 2001.
5. "Bijections for Certain Equivalent Partition Ideals of Order 1," University of Florida Number Theory Seminar, June 18, 2002.
6. "Bijective Proofs for Some Equivalent Partition Ideals," Ohio State University Combinatorics Seminar, August 22, 2002.
7. "A Combinatorial Proof of a Partition Identity of Andrews and Stanley," Penn State Partitions Seminar, March 6, 2003.
8. "Computer Algebra and Rogers-Ramanujan," Rutgers Experimental Mathematics Seminar, September 25, 2003.
9. "A Rogers-Ramanujan Computer Search," Rutgers Experimental Mathematics Seminar, February 12, 2004.
10. "Rogers-Ramanujan-Bailey Identities," University of Pennsylvania Combinatorics Seminar, November 9, 2004.
11. "Disturbing the Dyson Conjecture (in a GOOD Way)," Rutgers Experimental Mathematics Seminar, March 10, 2005.
12. "Disturbing the Dyson Conjecture (in a generally GOOD Way)," Rutgers Experimental Mathematics Seminar, October 27, 2005.
13. "Polynomial Generalizations of Rogers-Ramanujan Type Identities," Binghamton University Algebra Seminar, December 6, 2005.
14. "Integer Partitions and Identities of Rogers-Ramanujan Type," University of Akron, March 16, 2006.
15. "Rogers-Ramanujan Type Identities and Partitions," Penn State Partitions Seminar, June 28, 2005.
16. "Integer Partitions and Identities of Rogers-Ramanujan Type," Georgia Southern University, November 30, 2006.
17. "On Dyson's q-Series Identities," Rutgers Experimental Mathematics Seminar, February 22, 2007.
18. "Finding Polynomial Generalizations of q-Series Identities," Clemson University Algebra and Discrete Mathematics Seminar, September 27, 2007.
19. "A Generalization of the Euler-Glaisher Bijection," North Carolina State University Algebra and Combinatorics Seminar, September 26, 2008.
20. "A Generalization of the Euler-Glaisher Bijection," University of South Carolina Number Theory Seminar, February 25, 2009.

1. "Partitions and q-series," a series of three talks given in the University of Kentucky Algebra seminar, September 1998
2. "Fractional Calculus," University of Kentucky Algebra Seminar, Spring 1998
3. "Magic Squares and Ehrhart Polynomials," University of Kentucky Algebra Seminar, September 2, 1999.
4. "Recounting the Rationals," based on the article of the same title by N. Calkin and H. S. Wilf, Amer. Math. Monthly 107 (2000) no. 4, 360-363. Penn State Partitions Seminar, October 18, 2001.
5. A series of talks explaining the WZ theory, Penn State Partitions Seminar, September--October, 2002.
6. "Some Partition Identities," Rutgers Graduate Student Combinatorics Seminar, February 2, 2004.
7. "An Introduction to WZ Theory," DIMACS REU Seminar, July 6, 2004.
8. "Computer Proofs via the Algorithms of Sister Celine and Zeilberger," Rutgers Graduate Student Combinatorics Seminar, April 18, 2005.
9. "An Introduction to Integer Partitions," DIMACS REU Seminar, June 8, 2006.
10. "Hypergeometric Series and the WZ Method," Georgia Southern Analysis Seminar, January 22, 2008.
11. "WZ Method and q-Hypergeometric Series," Georgia Southern Analysis Seminar, January 29, 2008.
12. "q-Series and Bailey Chains," Georgia Southern Analysis Seminar, February 5, 2008.
13. "Combinatory Analysis," Georgia Southern Analysis Seminar, February 26, 2008.

LIST OF COURSES TAUGHT
Have taught essentially all college mathematics courses from the remedial level through the sophomore level, including:

• Developmental Mathematics
• Introductory, Intermediate, and College Algebra
• Trigonometry
• Finite Mathematics
• Pre-Calculus
• Business Calculus
• Calculus and Analytic Geometry I & II
• Mathematics for Elementary Education Majors
• Multivariable Calculus
• Introductory Linear Algebra
• Elementary Differential Equations

• Introductory Statistics
• Intermediate Statistics
• Probability and Statistics for Engineers (Calc II prerequisite)

• Introduction to Mathematical Reasoning
• Linear Optimization
• Number Theory
• Introductory Complex Analysis
• Mathematical Theory of Statistics
• Individual Study in Mathematics (reading course)

• Served as co-mentor, along with Doron Zeilberger, for REU student Sterling Stein, Summer 2003
• Served as mentor to Rutgers Undergraduate Research Fellow Yuriy Choliy in the R.E.U. program, Summer 2004
• Math 494, Individual Study in Mathematics: a reading course for Rutgers undergraduate Slava Kiria on Integer Partitions (G.E. Andrews and K. Erickson), Spring 2007
• Served as mentor for Christine Bowman in the undergraduate seminar program, Spring 2008.

• Michael Hammock, current M.S. student

• Have served as referee for
• Advances in Applied Mathematics
• Annals of Combinatorics
• Ars Combinatoria
• Bulletin of the London Mathematical Society
• Discrete Mathematics
• Electronic Journal of Combinatorics
• European Journal of Combinatorics
• Fibonacci Quarterly
• Indian Journal of Pure and Applied Mathematics
• International Journal of Mathematics and Mathematical Sciences
• International Journal of Number Theory
• International Mathematics Research Notices
• Involve
• Journal of Combinatorial Theory, Series A
• Journal of the Indian Mathematical Society
• Journal of the Korean Mathematical Society
• Journal of Mathematical Analysis and Applications
• Journal of Number Theory
• New Zealand Journal of Mathematics
• Portugaliae Mathematica
• Ramanujan Journal
• Transactions of the American Mathematial Society
• Reviewer for Math Reviews, 2003-present (49 reviews published to date)
• Co-organizer (with Michael Mossinghoff, Davidson College) special session in combinatorial number theory, MAA southeast section meeting, Charleston, SC, March 28, 2008.

• Served on examination writing committee for calculus sequence, Penn State, 2000-2002 (chairmanship for Spring 2002 and Fall 2002 final exams)
• Secretary for Penn State Partitions Seminar, 2001-2002
• Co-organizer of the Rutgers Experimental Mathematics Seminar, 2003-2007
• Mathematical Sciences Colloquium Committee, Georgia Southern University, 2007-2009
• Math Tournament Committee, Georgia Southern University, 2007-2008
• Hosted Distinguished Lecturer, March 31-April 1, 2008
• Library Representative, Georgia Southern Math Department, 2008-present
• Graduate Committee, Georgia Southern Math Department, 2008-2010
• Curriculum Committee, Georgia Southern Math Department, 2008-2010
• Search Committee, Georgia Southern Math Department, 2008-2009.
• Course Coordinator, Math 1113 Precalculus, Fall 2009.

NONACADEMIC EMPLOYMENT
Actuarial Assistant, Insurance Services Office, New York, NY, 1990-1992

Last update: November 11, 2009.