Madeline Locus Dawsey

Research Publications

  1. Combinatorial properties of Rogers-Ramanujan-type identities arising from Hall-Littlewood polynomials (with Claire Frechette). Annals of Combinatorics (2016) 20: 2, pp. 345-360.
  2. Congruences for powers of the partition function (with Ian Wagner). Annals of Combinatorics (2017) 21: 1, pp. 83-93.
  3. Shifted distinct-part partition identities in arithmetic progressions (with Ethan Alwaise, Robert Dicks, Jason Friedman, Lianyan Gu, Zach Harner, Hannah Larson, Ian Wagner, and Jsoh Weinstock). Annals of Combinatorics (2017) 21: 4, pp. 479-494.
  4. Conjugacy growth series for finitary wreath products. Res. Number Theory (2017) 3: 7.
    Erratum to: Conjugacy growth series for finitary wreath products. Res. Number Theory (2017) 3: 15. Minor typographical errors in Corollaries 5 and 7 in the original paper were fixed.
  5. A new formula for Chebotarev densities. Res. Number Theory (2017) 3: 27.
  6. CM evaluations of the Goswami-Sun Series (with Ken Ono). Proceedings of Elliptic Integrals, Elliptic Functions and Modular Forms in Quantum Field Theory. Zeuthen, Germany (2017). Texts & Monographs in Symbolic Computation. Eds. J. Blümlein, C. Schneider, and P. Paule. Springer Nature Switzerland AG (2019), pp. 183-193.
  7. Effective bounds for the Andrews spt-function (with Riad Masri). Accepted for publication in Forum Mathematicum.
  8. Multiquadratic fields generated by characters of An (with Ken Ono and Ian Wagner). Recommended for publication in J. Algebra.
  9. Higher width moonshine (with Ken Ono). Submitted.
  10. A case study of elite breaststrokers using inertial measurement units (with Jon Howell, Sven Mesihovic, Fiona Muir, Ken Ono, Sage Ono, and Larry Rolen). In preparation.

Other Publications

  1. Seeking Speed with Sensors (with Ken Ono). Splash Magazine. Submitted.
  2. Review of "Your hit parade: the top ten most fascinating formulas in Ramanujan's lost notebook," by B. C. Berndt and G. E. Andrews. Ramanujan Encyclopedia. In preparation.
  3. Ramanujan and the Nekrasov-Okounkov Formula. Ramanujan Encyclopedia. In preparation.

Conference, Seminar, and Colloquium Presentations

  1. (Jan 2015) "Rogers-Ramanujan series arising from Hall-Littlewood polynomials," Joint Mathematics Meetings Poster Session, San Antonio, TX.
  2. (Apr 2015) "Combinatorial properties of generalized Rogers-Ramanujan identities," University of Georgia Number Theory Seminar, Athens, GA.
  3. (Mar 2017) "Conjugacy growth series for wreath products of finitary permutation groups," Texas A&M University Number Theory Seminar, College Station, TX.
  4. (Mar 2017) "Conjugacy growth series for wreath products of finitary permutation groups," University of Pennsylvania Combinatorics, Algebra, and Geometry Seminar, Philadelphia, PA.
  5. (Sep 2017) "A new formula for Chebotarev densities," Palmetto Number Theory Series at the University of Tennessee, Knoxville, TN.
  6. (Dec 2017) "A new formula for Chebotarev densities," International Conference on Number Theory at SASTRA University, Kumbakonam, India.
  7. (Mar 2018) "Densities of subsets of prime numbers," Baylor University Mathematics Colloquium, Waco, TX.
  8. (Mar 2018) "Effective bounds for Andrews' smallest parts function," 32nd Automorphic Forms Workshop at Tufts University, Boston, MA.
  9. (Jun 2018) "Effective bounds for Andrews' smallest parts function," Combinatory Analysis Conference at Penn State University, State College, PA.
  10. (Jul 2018) "A New Formula for Chebotarev Densities," Canadian Number Theory Association XV at Université Laval, Quebec City, Canada.
  11. (Sep 2018) "Moonshine for finite groups," Emory University Algebra Seminar, Atlanta, GA.
  12. (Oct 2018) "Moonshine for finite groups," University of Tennessee Algebra Seminar, Knoxville, TN.
  13. (Nov 2018) "Moonshine for finite groups," New developments in the theory of modular forms over function fields at Centro di Ricerca Matematica, Pisa, Italy.
  14. (Nov 2018) "Moonshine for Finite Groups," Baylor University Mathematics Colloquium, Waco, TX.
  15. (Nov 2018) "Densities of Subsets of Prime Numbers," University of Texas at Tyler Mathematics Seminar, Tyler, TX.
  16. (Dec 2018) "Densities of Subsets of Prime Numbers," Texas A&M University Number Theory Seminar, College Station, TX.
  17. (Jan 2019) "The Andrews Smallest Parts Partition Function," MAA Invited Paper Session on Modular Forms: Aesthetics and Applications at the AMS-MAA Joint Mathematics Meetings, Baltimore, MD.
  18. (Jan 2019) "CM Evaluations of the Goswami-Sun Series," AMS Special Session on Partition Theory and Related Topics at the AMS-MAA Joint Mathematics Meetings, Baltimore, MD.
  19. (Feb 2019) "Adding and Counting: How Hard Can It Be?" St. Edward's University Mathematics Colloquium, Austin, TX.
  20. (Feb 2019) "Moonshine for Finite Groups," University of Texas at Tyler Mathematics Seminar, Tyler, TX.
  21. (Feb 2019) "Adding and Counting: How Hard Can It Be?" University of Texas at Tyler Math Club, Tyler, TX.
  22. (Mar 2019) "Moonshine for Finite Groups," Low dimensional topology and number theory XI at Osaka University, Osaka, Japan.
  23. (Mar 2019) "Inequalities satisfied by the Andrews spt-function," AMS Special Session on Experimental Mathematics in Number Theory, Analysis, and Combinatorics at the AMS Spring Southeastern Sectional Meeting at Auburn University, Auburn, AL.
  24. (Mar 2019) "Moonshine for Finite Groups," AMS Special Session on Recent Advances and Applications of Modular Forms at the AMS Spring Central and Western Joint Sectional Meeting at the University of Hawaii at Manoa, Honolulu, HI.
  25. (Apr 2019) "Moonshine for Finite Groups," Southern Regional Number Theory Conference: Modular Curves, Modular Forms, and Hypergeometric Functions at Louisiana State University, Baton Rouge, LA,
  26. (Jun 2019) "Integer Partitions and a Conjecture of John Thompson," Analytic and Combinatorial Number Theory: The Legacy of Ramanujan at the University of Illinois at Urbana-Champaign, Urbana, IL.

Research Advising

  1. 2018 Emory Number Theory Research Experience for Undergraduates (R.E.U.)
  2. Spring 2019 Emory undergraduate research project in applied mathematics
  3. 2019 Emory Number Theory R.E.U.

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