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Ian Wagner

Research

Publications

  1. E. Alwaise, R. Dicks, J. Friedman, L. Gu, Z. Harner, H. Larson, M.L. Dawsey, I. Wagner, and J. Weinstock. Shifted distinct-part partition identities in arithmetic progressions. Annals of Cominatorics (2017) 21: 4, pp. 479-494.
  2. M.L. Dawsey and I. Wagner. Congruences for powers of the partition function. Annals of Combinatorics (2017) 21: 1, pp. 83-93.
  3. I. Wagner. Conjugacy growth series for wreath product finitary symmetric groups. Research in Number Theory (2017) 3:17.
  4. I. Wagner. Harmonic Maass form eigencurves. Research in the Mathematical Sciences (2018) 5:24.
  5. K. Ono, R. Schneider, and I. Wagner. Partition-theoretic formulas for arithmetic densities.  Gainesville International Number Theory Conference (2017) pp. 611–624.
  6. H. Larson and I. Wagner. Hyperbolicity of the partition Jensen polynomials. Research in Number Theory (2019) 5:19.
  7. I. Wagner. The Jensen-Polya program for various L-functions.  Forum Mathematicum (2020) 32:2.
  8. L. Rolen and I. Wagner. A note on Schwartz functions and modular forms. Archiv der Mathematik (2020) 115, pp. 35-51.
  9. M.L. Dawsey, K. Ono, and I. Wagner. Multiquadratic fields generated by characters of A_n. Journal of Algebra, 533 (2019), 339-343.
  10. M.L. Dawsey, K. Ono, and I. Wagner. Fields generated by characters of finite linear groups. Archiv der Mathematik (2021) 116, pp. 487-500.
  11. M. Griffin, K. Ono, L. Rolen, J. Thorner, Z. Tripp, and I. Wagner. Jensen polynomials for the Riemann Xi-function. Submitted for publication.
  12. M. Alsharif, D. de Laat, M. Milinovich, L. Rolen, Z. Tripp, and I. Wagner. To be determined. In preparation.
  13. R. Schneider, J.A. Sellers, and I. Wagner. Sequentially congruent partitions and partitions into squares. Accepted for publication in The Ramanujan Journal.
  14. A. Babei, L. Rolen, and I. Wagner. The Riemann Hypothesis for period polynomials of Hilbert modular forms. Journal of Number Theory (2021) 218, pp. 44-61.
  15. L. Rolen, Z. Tripp, and I. Wagner. Cranks for Ramanujan-type congruences of k-colored partitions. Submitted for publication.
  16. K. Ono, R. Schneider, and I. Wagner. Partition-Theoretic formulas for arithmetic densities, II. Accepted in the special issue of the Hardy-Ramanujan Journal commemorating the 100th anniversary
    Of Ramanujan’s death.
  17. K. Bringmann, K. Ono, and I. Wagner. Eichler integrals of Eisenstein series as q-brackets of weighted t-hook functions on partitions. Submitted for publication.
  18. I. Wagner. On a new class of Laguerre-Pólya type functions with applications in number theory. Submitted for publication.
  19. I. Wagner. Jacobi forms with complex multiplication and a problem of Dyson. In preparation.
  20. J. Males, A. Mono, L. Rolen, and I. Wagner. TBD. In preparation.

Conferences and seminar presentations

  1. (September 2017) “Harmonic Hecke eigenlines and Mazur’s problem,” Palmetto Number Theory Series, Knoxville, TN.
  2. (December 2017) “Harmonic Hecke eigenlines and Mazur’s problem,” International Conference on Number Theory at SASTRA University, Kumbakonam, India.
  3. (June 2018) “Hyperbolicity of partition Jensen polynomials,” Combinatory Analysis Conference at Penn State University, State College, PA.
  4. (July 2018) “Harmonic Hecke eigenlines and Mazur’s problem,” Canadian Number Theory Association XV at Universite Laval, Quebec City, Canada.
  5. (October 2018) “Thoughts on sphere packing,” Vanderbilt University Computational Analysis Seminar, Nashville, TN.
  6. (October 2018) “Harmonic Hecke eigenlines and Mazur’s problem,” Vanderbilt University Geometry Seminar, Nashville, TN.
  7. (November 2018) “Harmonic Hecke eigenlines and Mazur’s problem,” New developments in the theory of modular forms over function fields, Pisa, Italy.
  8. (January 2019) “Hyperbolicity of partition Jensen polynomials,” Joint math meetings special session on “Partition theory and related topics”, Baltimore, MD.
  9. (March 2019) “Harmonic Hecke eigenlines and Mazur’s problem,” Low dimensional topology and number theory XI, Osaka University, Osaka, Japan.
  10. (March 2019) “Hyperbolicity of partition Jensen polynomials,” AMS special session on Experimental Mathematics in Number Theory, Analysis, and Combinatorics at the AMS Spring Southeastern Sectional Meeting, Auburn University, Auburn, AL.
  11. (March 2019) “Harmonic Hecke eigenlines and Mazur’s problem,” AMS special session on Recent Advances and Applications of Modular forms at the AMS Spring Central and Western Joint Sectional Meeting, University of Hawaii, Manoa, Honolulu, HI.
  12. (June 2019) “Schwartz functions and modular forms,” Analytic and Combinatorial Number Theory: The Legacy of Ramanujan, University of Illinois at Urbana-Champaign, Urbana, Il.
  13. (September 2019) “Partitions and a conjecture of John Thompson,” Palmetto Number Theory Series, University of North Carolina at Charlotte, Charlotte, NC.
  14. (November 2019) “Partitions and a conjecture of John Thompson,” AMS Special Session on Partition Theory and Related Topics, University of Florida, Gainesville, FL.
  15. (November 2020) “Cranks for Ramanujan-type congruences of k-colored partitions”, UT Tyler Number Theory and Combinatorics Seminar.

Research Experiences for Undergraduates (REU)

  1. Emory Number Theory REU 2015.
  2. Advisor at the Emory Number Theory REU 2018.
  3. Advisor at the Emory Number Theory REU 2019.

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