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 (prior to completion of Ph.D.)

• Sam Houston State University, Huntsville, TX (Lecturer, 1995)
• Lexington Community College, Lexington, KY (Instructor of Mathmematics and Statistics, 1996-97)
• Pennsylvania State University, University Park, PA (Instructor of Mathematics, 2000-02)

• Pennsylvania State University, University Park, PA
  • Visiting Assistant Professor of Mathematics, 2002-03
• Rutgers University, New Brunswick, NJ
  • Hill Assistant Professor of Mathematics, Rutgers University, 2003-06
  • Lecturer at the rank of Assistant Professor of Mathematics, 2006-07
• Georgia Southern University, Statesboro, GA
  • Assistant Professor, Tenure-track, 2007-11
  • Associate Professor of Mathematics (tenured August 1, 2012), 2011-15
  • Professor of Mathematics, 2015-2024
  • Professor of Matheamtics and Statistics, 2024-

RESEARCH INTERESTS

• Number theory, especially integer partitions
• combinatorics
• classical analysis, especially basic hypergeometric series
• symbolic computation, especially algorithmic proof theory
• mathematics of Ramanujan
• Mathematical statistics
• Applications of mathematics to music theory

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 partitions and overpartitions," Int. J. Math. Math. Sci. 2010 (2010) Article ID 630458, 21 pp. doi:10.1155/2010/630458.
24. "The Apostles and brothers of Jesus," in The Tomb of Jesus and His Family?: Exploring Ancient Jewish Tombs Near Jerusalem's Walls, ed. James H. Charlesworth and Arthur Boulet, Eerdmans press, 2013.
25. (with S. Corteel and C. Savage) "Lecture hall sequences, q-series, and asymmetric partition identities," Partitions, q-Series, and Modular Forms, ed. K. Alladi and F. Garvan, Springer, 2012, 53-68. Developments in Mathematics, Vol. 23. ISBN 978-1-4614-0027-1.
26. "Towards an automation of the circle method," Gems in Experimental Mathematics, ed. T. Amdeberhan, L. Medina, and V. H. Moll, Contemp. Math. 517 (2010) 325-338.
27. "Rademacher-type formulas for restricted partition and overpartition functions," Ramanujan J. 23 (2010) 253-264.
28. (with J. McLaughlin and P. Zimmer) "Some implications of Chu's ₁₀ψ₁₀ generalization of Bailey's ₆ψ₆ summation formula," Online Journal of Analytic Combinatorics 5 (2010), 24 pp.
29. (with C. D. Savage) "On an identity of Gessel and Stanton and the new little Göllnitz identities," Adv. Appl. Math. 46 (2011) 563-575.
30. (with J. McLaughlin) "On a pair of identities from Ramanujan's lost notebook," Ann. Combin., 16 (2012) 581-607.
31. (with J. McLaughlin) "Polynomial generalizations of two-variable Ramanujan type identities," Electronic J. Combin. 18(2) (2011) #P15, 10 pp.
32. (with D. Eichhorn and J. McLaughlin) "Hybrid proofs of the q-binomial theorem and other identities," Electronic J. Combin. 18(1) (2011) #P60, 21 pp.
33. "Compositions, partitions, and Fibonacci numbers," The Fibonacci Quarterly 40 (2011) 348-354.
34. (with H. Wang) "On the maximal Wiener index and related questions," Discrete Appl. Math. 160 (2012) 1615-1623.
35. (with D. Zeilberger) "Formulæ for the number of partitions of n into at most m parts (using the quasi-polynomial ansatz)," Advances in Applied Mathematics, 48 (2012) 640-645.
36. (with D. Zeilberger) "Rademacher's infinite partial fraction conjecture is (almost certainly) false," Journal of Difference Equations and Applications 19 (2013) 680-689.
37. (with H. Wang) "The minimal number of subtrees of a tree," Graphs and Combinatorics 31 (2015) 255-264.
38. (with L. Lindroos and H. Wang) "Odd fibbinary numbers and the golden ratio," Fibonacci Quarterly 52 (2014) 61-65.
39. (with Y. Choliy) "A formula for the partition fucntion that 'counts'," Ann. Combin. 20 (2016) 301-316.
40. (with S. Kanade, J. Lepowsky, and M. C. Russell) "Ghost series and a movtivated proof of the Andrews-Bressoud identities," J. Combin. Theory Ser. A 146 (2017) 33-62.
41. (with B. Hopkins, M. Shattuck, T. Thanatipanonda, and H. Wang) "Parts and subword patterns in compositions," J. Combinatorics and Number Theory 9 (2017) 1-14.
42. "A classical q-hypergeometric approach to the A₂ ⁽²⁾ standard modules," Proceedings of the Alladi 60 Conference, ed. G. E. Andrews and F. G. Garvan, Springer, 2018, 713-731.
43. (with Y. Choliy and L. W. Kolitsch) "Partition recurrences," Integers 18B (2018), paper A1, 15 pp.
44. "MacMahon's partial fractions," Ann. Combin. 23 (2019) 1073-1086.
45. (with C. W. Champ) "The exponential distribution analog of the Grubbs-Weaver method," Comm. Stat.: Theory and Methods 49 (2020) 1894-1903.
46. "Integer partitions probability distributions," Comm. Stat. Theory and Methods 50 (2021) 3556-3563.
47. (with R. Schneider) "The product of parts or 'norm' of a partition," Integers 20A Paper A13, 16 pp.
48. (with R. Schneider) "Analysis and combinatorics of partition zeta functions," Int. J. Number Theory, to appear.
49. "A refinement of the binomial distribution using the quantum binomial thorem," Comm. Stat. Theory and Methods 52 (2023) 294-308.
50. (with G. E. Andrews and J. Fröhlich) "In memoriam: Freeman Dyson (1923-2020)," Notices Amer. Math. Soc. 68 (2021) 1140-1155.
51. (with C. W. Champ as first author) "Process, population, and sample: the researcher's interest," to appear, Applied Mathematical Analysis and Computation---1st SGMC Springer.
52. "Integer partitions and the Wilcoxon rank-sum statistic," Comm. Stat. Theory and Methods, to appear.
53. "A refinement of the multinomial distribution with application," to appear, Applied Mathematical Analysis and Computation---1st SGMC Springer.
54. (with A. P. Akande, T. Genao, S. Haag, M. D. Hendon, N. Pulagam, R. Schneider) "Computational study of non-unitary partitions," J. Ramanujan Math. Soc. 38 (2023) 121-128.
55. (with R. Schneider) "Combinatorial formulas for arithmetic density," Integers 22 (2022) Paper A63, 7 pp.
56. (with C. W. Champ as first author) "The generalized law of total variance and total covariance," to appear, Applied Mathematical Analysis and Computation---1st SGMC Springer.
57. (with R. Schnider) "Composition-theoretic series in partition theory," Ramanujan J., to appear.
58. "Composition-theoretic series and false theta functions," Integers, to appear.
59. (with M. G. Maxwell, C. McCarthy, J. Pfeffer, M. Schneider, and R. Schneider), "Mathematics of the MML functional quantizer modules for VCV Rack software synthesizer," Infinite Loop 1 (2024).

• A. V. Sills, An Invitation to the Rogers-Ramanujan Identities, CRC Press, 2017.
• A. V. Sills, An Invitation to the Rogers-Ramanujan Identities, Japanese translation of the English original, currently in preparation, to be published by Kyoritsu Shuppan Co., Ltd.

• Editor, Selected Works of George E. Andrews, Imperial College Press, a division of World Scientific, 2013.
• Guest Editor, Ramanujan Journal 13 (2013) 1-238, Special issue in honor of Mourad Ismail and Dennis Stanton; Proceedings of q-Series 2011: an International Conference on q-Series, Partitions, and Special Functions, held at Georgia Southern University, Statesboro, GA, March 14-16, 2011
• Editor, Asimov Does the Math!, an annotated collection of essays on elementary mathematics written by the late Dr. Isaac Asimov. Has received positive reviews from the editorial staff of the Dover Publications Aurora Series. Dover is currently negotiating for publication rights with the agents of the Estate of Isaac Asimov.
• Revised section on integer partitions for the second edition of Handbook of Discrete and Combinatorial Mathematics, CRC Press, 2017.
• Editor, Selected Works of George E. Andrews, Volume 2, in preparation, under contract with World Scientific.
• D. Wanduku and S. Zheng, editors; H. Zhou, Z. Chen, A. Sills, and E. Agyingi, co-editors, Applied Mathematical Analysis and Computation---1st SGMC Springer.

• A. Sills, PI; S. B. Damelin, Co-PI: "q-Series: 2011: an International Conference on q-series, Partitions, and Special Functions," National Science Foundation Grant DMS 1100964, February 1, 2011-January 31, 2013.
• A. Sills, "Computer Assisted Research in Additive and Combinatorial Number Theory and Allied Areas," National Security Agency Standard Research Grant H98230-14-1-0159, 2014-2015.
• B. Kronholm, PI; T. Huber and A. Sills, Co-PIs; "CBMS Conference: Ramanujan's Ranks, Mock Theta Functions, and Beyond, featuring ten lectures by Frank Garvan," University of Texas Rio Grande Valley, May 16-20, 2022. National Science Foundation Award 2132649. Total Award: $35,000
• B. Kronholm, PI; T. Huber and A. Sills, Co-PIs; "CBMS Conference: Ramanujan's Ranks, Mock Theta Functions, and Beyond, featuring ten lectures by Frank Garvan," University of Texas Rio Grande Valley, May 16-20, 2022. National Security Agency Grant H98230-22-1-0012. Total Award: $15,600
• A. Sills, PI: Grant to create an online database of Rogers-Ramanujan-Slater type identities, 2024, funded privately, Fund number GS 0377. Total award: $25,000

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.
14. "Rademacher's Infinite Partial Fractions Conjecture is (Almost Certainly) False," Rademacher 125 Conference, University of Florida, Gainesville, November 5, 2012.
15. "Rademacher's Infinite Partial Fractions Conjecture is (Almost Certainly) False," AMS Special Session on the influence of Ramanujan at his 125th birthday, AMS-MAA Joint Meetings in San Diego, CA, January 10, 2013.
16. "A Formula for the Partition Function that 'Counts'," Special Session on Partitions, q-series, and Modular Forms, AMS-MAA Joint Meetings in San Antonio, TX, January 10, 2015.
17. "Rogers--Ramanujan type identities," Mini-symposium on the Legacy of Ramanujan, in the 13th International Meeting on Orthogonal Polynomials and Special Functions, National Institute of Standards and Technology, Gaithersburg, MD, June 2, 2015.
18. "Rogers-Ramanujan type partition identities," Joint Meetings of the AMS and MAA, Atlanta, GA, January 6, 2017.
19. "MacMahon's partial fractions," Invited Plenary Speaker, Combinatory Analysis 2018: A Conference in Honor of George Andrews' 80th Birthday, Pennsylvania State University, University Park, PA, June 22, 2018.
20. "The exponential analog of the Grubbs-Weaver method," mini-conference in honor of the 70th birthday of Charles W. Champ, Georgia Southern University, Statesboro campus, September 21, 2018.
21. "The exponential analog of the Grubbs--Weaver method," Joint Meetings of the AMS and MAA, Baltimore, MD, January 19, 2019.
22. "The product of parts of partitions," AMS Spring Southeastern Sectional Meeting, Auburn University, Auburn, AL, March 16, 2019.
23. "Rogers-Ramanujan type identities: old and new," Invited plenary speaker, Analytic and Combinatorial Number Theory: the Legacy of Ramanjan, University of Illinois at Urbana-Champaign, June 7, 2019
24. "MacMahon partial fractions and partition zeta functions," Special Session in Partition Theory and Related Topics, AMS Southeast Sectional Meeting, Gainesville, FL, November 2--3, 2019.
25. "Finite Rogers--Ramanujan type identities," AMS Special Session on Experimental and Computer Assisted Mathematics, AMS--MAA Joint Mathematics Meetings, Denver, CO, January 15--18, 2020.
26. "A q-analog of the binomial probability distribution," Special Session on q-series and Related Topics, AMS Eastern Sectional Meeting, virtual via Zoom, October 4, 2020.
27. "A Survey of Rogers–Ramanujan Type Identities," Invited Plenary Speaker, q2020 Virtual Conference, hosted by Kyoto University, Japan; October 6, 2020. (60 minutes + 30 minutes Q & A)
28. "An application of integer partitions to nonparametric statistics." Special Session on Partition Theory and Related Topics at the Joint Mathematics Meetings, Seattle, WA, originally scheduled for January 7, 2022. Postponed until April 2022 and held over zoom.
29. "Combinatorial enumeration functions as sums over restricted compositions," AMS Central Section Meeting, El Paso, Texas, Special Session on Intersection of Number Theory and Combinatorics, September 17, 2022.
30. "Musical Scales informed by mathematics," Art-in-Silico Computational Art Show, Michigan Technological University, March 13, 2023.
31. "Applications of Additive Number Theory to Probability and Statistics," Central Botswana Mathematics and Statistical Sciences Conference (CBMSSC) III, Botswana International University of Science and Technology, delivered via Zoom, March 15, 2024.

• "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.
• "Identities of the Ramanujun-Slater Type," SERMON 2010, Davidson College, Davidson, NC, April 17, 2010.
• "All I Really Need To Know, I Learned From Dr. Z," Conference in Honor of Doron Zeilberger's 60th Birthday, Rutgers University, Piscataway, NJ, May 28, 2010.
• "A Formula for the Partition Function that 'Counts' ," PANTS XXIII, University of South Carolina, Columbia, SC, December 6, 2014.
• "Parts and subword patterns in compositions," PANTS XXIV, Emory University, Atlanta, GA, September 12, 2015.
• "Euler-type partition recurrences," INTEGERS 2016 conference, University of West Georgia, Carrollton, GA, October 8, 2016.
• "The Exponential analog of the Grubbs-Weaver method," INTEGERS 2018 conference, Augusta, GA, October 5, 2018.
• "Integer partitions and the Wilcoxon rank-sum statistic," INTEGERS 2023, Athens, GA, May 19, 2023.

• "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.
• "Maximizing the Wiener Index," Georgia Southern University, August 27, 2010.
• "A Revival of Sylvester's Wave Theory of Partitions," Georgia Southern University, September 15, 2011
• "A Formula for the Partition Function that 'Counts'," Georgia Southern University, August 29, 2014
• "Use of the Quantum Binomial Theorem to refine the Binomial Probability Distribution," Georgia Southern University Department of Mathematical Sciences Colloquium/Statistics Seminar/Graduate Seminar, via Zoom, January 29, 2021.

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.
21. "Instances of Gordon's Theorem Have Been Hiding in Slater's List!" University of Florida Graduate Number Theory Seminar, March 16, 2010.
22. "Maximizing the Wiener Index," Rutgers Experimental Mathematics Seminar, October 7, 2010.
23. "A Revival of Sylvester's Wave Theory of Partitions," Rutgers/DIMACS Summer Seminar Series, July 11, 2011.
24. "Rademacher's Infinite Partial Fraction Conjecture," Georgia Southern Discrete Mathematics Seminar, February 1, 2012.
25. "Rademacher's Infinite Partial Fraction Conjecture is (almost certainly) False," University of Florida Number Theory Seminar, March 22, 2012.
26. "Maximizing the Wiener Index," Georgia Southern Discrete Mathematics Seminar, March 28, 2012.
27. "A Generalization of the Euler-Glaisher Bijection," Discrete Mathematics Seminar, Armstrong Atlantic State University, Savannah, GA, September 11, 2012.
28. "A Formula for the Partition Function that 'counts'," Discrete Mathematics Seminar, Armstrong Atlantic State University, Savannah, GA, April 22, 2014.
29. "MacMahon's Partial Fractions," Partitions and Combinatorics Seminar, Pennsylvania State University, June 9, 2015.
30. "Generalizations of the Euler-Glaisher bijection," Emory University Algebra Seminar, November 3, 2015.
31. "A formula for the partition function that 'counts'," University of Illinois Number Theory Seminar, April 27, 2017
32. "MacMahon's partial fractions," University of Illinois Student Number Theory Seminar, April 27, 2017
33. "Using number theory and combinatorial optimization to solve a problem in statistics," Experimental Mathematics Seminar, Rutgers University, October 25, 2018.
34. "Partitions, compositions, and MacMahon's partial fractions," Augusta University Mathematics Seminar, Augusta, GA, January 25, 2019.
35. "The partition probability distribution," Statistics seminar, Georgia Southern University, Statesboro campus, March 1, 2019.
36. "Toward a q-Probability," Georgia Southern Statistics Seminar, Statesboro, January 24, 2020.
37. "Toward a q-Probability, part 2," Georgia Southern Statistics Seminar, Statesboro, January 31, 2020.
38. (with R. Schneider) "Composition-theoretic series in partition theory," Specialty Seminar in Partition Theory, q-Series and Related Topics, Michigan Technological University, over zoom, November 17, 2022.
39. "Rogers–Ramanujan–Slater type identities," Michigan Technological University Department of Mathematical Sciences Seminar, March 14, 2023.
40. "Generalizations of the Euler–Glaisher Bijection," Michigan Technological University Department of Mathematical Sciences Graduate Student Seminar, March 15, 2023.
41. "Process, Population, and Sample: the Researcher’s Interest," (joint with C. W. Champ), Georgia Southern Statistics Seminar, March 31, 2023.
42. "q-series and sums over partitions or compositions," University of Florida Number Theory Seminar, Gainesville, FL, April 18, 2023.
43. "Towards a Rogers-Ramanujan-Slater online database," Michigan Technological University, Department of Mathematical Sciences, Graduate Student Seminar, November 7, 2023.
"On the circle method of Hardy, Ramanujan, and Rademacher," Michigan Technological University, Department of Mathematical Sciences, Faculty and Graduate Student tutorial, November 8, 2023.
44. q-analogs and polynomial generalizations of series-to-product identities," Michigan Technological University, Department of Mathematical Sciences, Departmental Seminar, November 10, 2023.

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
• Discrete Mathematics

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

• Introduction to Proofs
• History of Mathematics
• Linear Optimization
• Number Theory
• Modern Algebra I & II
• Introductory Complex Analysis
• Mathematical Theory of Statistics
• Combinatorics and Graph Theory
• Individual Study in Mathematics (reading course)

• Analytic Number Theory
• Applied Nonparametric Statistics
• Integer Partitions

• 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.
• James Diffenderfer, "Restricted Compositons," Spring 2011.
• Elizabeth Hawkins, "Highly composite numbers", Fall 2017-Fall2018.

• Michael Hammock, M.S., Georgia Southern University, December 2009
• Vyacheslav Kiria-Kaiserberg, M.S., Georgia Southern University, May 2011
• Linus Lindroos, M.S., Georgia Southern University, December 2012
• James Diffenderfer, M.S., Georgia Southern University, May 2013
• Yiran Zhang, M.S., Georgia Southern University, August 2014 (co-advised with Charles Champ)
• Nicolas Smoot, M.S., Georgia Southern University, May 2016.
• Apurv Patel, M.S., Georgia Southern University, May 2023. (co-advised with Charles Champ)

• Have served as referee for
• Acta Arithmetica
• Advances in Applied Mathematics
• Advances in Mathmatics
• Annals of Combinatorics
• Applicable Analysis and Discrete Mathematics
• Ars Combinatoria
• Bulletin of the London Mathematical Society
• Computers and Mathematics with Applications
• Discrete Mathematics
• Electronic Journal of Combinatorics
• European Journal of Combinatorics
• Fibonacci Quarterly
• Forum Mathematicum
• 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
• Quaestiones Mathematicae
• Ramanujan Journal
• Rocky Mountain Journal of Mathematics
• Transactions of the American Mathematial Society
• Reviewer for Math Reviews, 2003-2016 (65 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.
• Principal Organizer, q-Series 2011: an International Conference on Partitions, q-Series, and Special Functions. March 14-16, 2011 at Georgia Southern University, Statesboro, GA.
• AMS Library Committee, 2011-2014.
• MAA Polya Prize Committee, 2012-2015.
• Co-organizer (with Frank Garvan, University of Florida) special session on Experimental Mathematics, AMS Southeast Section Meeting, Athens, GA, March 5-6, 2016.
• Member, National Science Foundation proposal review panel, 2017.
• Co-organizer, CBMS conference: Ramanujan's Ranks, Mock Theta Functions, and Beyond, featuring Principal Lecturer Frank Garvan, University of Texas Rio Grande Valley, Edinburg, Texas, May 16-20, 2022.
• Co-organizer, conference: The Legacy of Ramanujan, celebrating the 85th birthdays of George Andrews and Bruce Berndt, Pennsylvania State University, University Park, Pennsylvania, June 6-9, 2024.

• At Penn State Department of Mathematics
  • Served on examination writing committee for calculus sequence, 2000-2002 (chairmanship for Spring 2002 and Fall 2002 final exams)
  • Secretary for Partitions Seminar, 2001-2002
• Rutgers University Department of Mathematics
  • Co-founder and Co-organizer of the Rutgers/DIMACS Experimental Mathematics Seminar, 2003-2007
• Georgia Southern University Department of Mathematical Sciences
• Search Committees
  • Member, Tenure-track assistant professor search committee, 2008-09 and 2012-2013
  • Member, Department Chair Search Committee, 2014-15
  • Chair, Tenure-track assistant professor of mathematics search committee, 2016-17
  • Chair, Tenure-track assistant professor of statistics and lecturer of statistics search committees, 2017-18
  • Chair, Tenure-track assistant professor data science search committee, 2023-24
  • Member, Tenure-track assistant professor of mathematics and tenure-track assistant professor of statistics search committees, Armstrong campus, 2018-2019
• Standing Committes
  • Colloquium Committee, 2007-2009, 2011-2012.
  • Math Tournament Committee, 2007-2008
  • Curriculum committee, 2008-10
  • Graduate Coordingating Committee, 2008-14, 2021-2024.
  • Elections Committee: Member, 2011-12, 2019; Chair, 2015-16
  • Grants and Scholarships committee, 2011-13
  • Post-tenure Review Committee, 2013-14
• Hosting of Distinguished Lecturers
  • George Andrews, March 31-April 1, 2008
  • Frank Morgan, March 22-23, 2010
  • Ken Ono, April 19, 2012
  • Richard Stanley, October 17-18, 2013
  • Doron Zeilberger, March 23-24, 2017
• Course coördination
  • Coördinator, Math 1113 Precalculus, Fall 2009.
  • Coördinator, Math 2242 Calculus II, Spring 2011.
• Other departmental service
  • Library representative, 2008-present
  • Calculus textbook selection committee, Spring 2010
  • Co-founder and co-organizer, Discrete Math Seminar, 2012-15

• Chair, Task Force for investigating the proposal of an interdisciplinary Ph.D. program in applied sciences and mathematics, 2016-2017
• Leader, Computational Sciences Group, 2016-

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

Last update: April 28, 2024.