{"id":6,"date":"2019-08-13T14:30:05","date_gmt":"2019-08-13T14:30:05","guid":{"rendered":"https:\/\/my.dev.vanderbilt.edu\/wagneric\/publications\/"},"modified":"2021-12-23T23:40:33","modified_gmt":"2021-12-24T04:40:33","slug":"research","status":"publish","type":"page","link":"https:\/\/my.dev.vanderbilt.edu\/wagneric\/research\/","title":{"rendered":"Research"},"content":{"rendered":"

Publications<\/h2>\n
    \n
  1. E. Alwaise, R. Dicks, J. Friedman, L. Gu, Z. Harner, H. Larson, M.L. Dawsey, I. Wagner, and J. Weinstock.<\/b>\u00a0Shifted distinct-part partition identities in arithmetic progressions<\/a>. Annals of Cominatorics (2017) 21: 4, pp. 479-494.<\/li>\n
  2. M.L. Dawsey and I. Wagner.<\/b>\u00a0Congruences for powers of the partition function<\/a>. Annals of Combinatorics (2017) 21: 1, pp. 83-93.<\/li>\n
  3. I. Wagner.<\/b>\u00a0Conjugacy growth series for wreath product finitary symmetric groups<\/a>. Research in Number Theory (2017) 3:17.<\/li>\n
  4. I. Wagner.<\/b>\u00a0Harmonic Maass form eigencurves<\/a>. Research in the Mathematical Sciences (2018) 5:24.<\/li>\n
  5. K. Ono, R. Schneider, and I. Wagner.<\/b>\u00a0Partition-theoretic formulas for arithmetic densities<\/a>.\u00a0 Gainesville International Number Theory Conference (2017) pp. 611\u2013624.<\/li>\n
  6. H. Larson and I. Wagner.\u00a0<\/b>Hyperbolicity of the partition Jensen polynomials<\/a>. Research in Number Theory (2019) 5:19.<\/li>\n
  7. I. Wagner.<\/b>\u00a0The Jensen-Polya program for various L-functions<\/a>.\u00a0 Forum Mathematicum (2020) 32:2.<\/li>\n
  8. L. Rolen and I. Wagner.<\/b>\u00a0A note on Schwartz functions and modular forms<\/a>. Archiv der Mathematik (2020) 115, pp. 35-51.<\/li>\n
  9. M.L. Dawsey, K. Ono, and I. Wagner.<\/b>\u00a0Multiquadratic fields generated by characters of A_n<\/a>. Journal of Algebra, 533 (2019), 339-343.<\/li>\n
  10. M.L. Dawsey, K. Ono, and I. Wagner.<\/b>\u00a0Fields generated by characters of finite linear groups<\/a>. Archiv der Mathematik (2021) 116, pp. 487-500.<\/li>\n
  11. M. Griffin, K. Ono, L. Rolen, J. Thorner, Z. Tripp, and I. Wagner.\u00a0<\/strong>Jensen polynomials for the Riemann Xi-function<\/a>. Submitted for publication.<\/li>\n
  12. M. Alsharif, D. de Laat, M. Milinovich, L. Rolen, Z. Tripp, and I. Wagner. <\/strong>To be determined. In preparation.<\/li>\n
  13. R. Schneider, J.A. Sellers, and I. Wagner.\u00a0<\/strong>Sequentially congruent partitions and partitions into squares<\/a>.\u00a0Accepted for publication in The Ramanujan Journal.<\/li>\n
  14. A. Babei, L. Rolen, and I. Wagner.\u00a0<\/strong>The Riemann Hypothesis for period polynomials of Hilbert modular forms<\/a>. Journal of Number Theory (2021) 218, pp. 44-61.<\/li>\n
  15. L. Rolen, Z. Tripp, and I. Wagner.\u00a0<\/strong>Cranks for Ramanujan-type congruences of k-colored partitions<\/a>. Submitted for publication.<\/li>\n
  16. K. Ono, R. Schneider, and I. Wagner.\u00a0<\/strong>Partition-Theoretic formulas for arithmetic densities, II<\/a>. Accepted in the special issue of the Hardy-Ramanujan Journal commemorating the 100th anniversary
    \nOf Ramanujan\u2019s death.<\/li>\n
  17. K. Bringmann, K. Ono, and I. Wagner.\u00a0<\/strong>Eichler integrals of Eisenstein series as q-brackets of weighted t-hook functions on partitions<\/a>. Submitted for publication.<\/li>\n
  18. I. Wagner.\u00a0<\/strong>On a new class of Laguerre-P\u00f3lya type functions with applications in number theory<\/a>. Submitted for publication.<\/li>\n
  19. I. Wagner.\u00a0<\/strong>Jacobi forms with complex multiplication and a problem of Dyson. In preparation.<\/li>\n
  20. J. Males, A. Mono, L. Rolen, and I. Wagner.\u00a0<\/strong>TBD. In preparation.<\/li>\n<\/ol>\n

    Conferences and seminar presentations<\/h2>\n
      \n
    1. (September 2017)<\/b>\u00a0“Harmonic Hecke eigenlines and Mazur’s problem,”\u00a0Palmetto Number Theory Series<\/i>, Knoxville, TN.<\/li>\n
    2. (December 2017)<\/b>\u00a0“Harmonic Hecke eigenlines and Mazur’s problem,”\u00a0International Conference on Number Theory at SASTRA University<\/i>, Kumbakonam, India.<\/li>\n
    3. (June 2018)<\/b>\u00a0“Hyperbolicity of partition Jensen polynomials,”\u00a0Combinatory Analysis Conference at Penn State University<\/i>, State College, PA.<\/li>\n
    4. (July 2018)<\/b>\u00a0“Harmonic Hecke eigenlines and Mazur’s problem,”\u00a0Canadian Number Theory Association XV at Universite Laval<\/i>, Quebec City, Canada.<\/li>\n
    5. (October 2018)<\/b>\u00a0“Thoughts on sphere packing,”\u00a0Vanderbilt University Computational Analysis Seminar<\/i>, Nashville, TN.<\/li>\n
    6. (October 2018)<\/b>\u00a0“Harmonic Hecke eigenlines and Mazur’s problem,”\u00a0Vanderbilt University Geometry Seminar<\/i>, Nashville, TN.<\/li>\n
    7. (November 2018)<\/b>\u00a0“Harmonic Hecke eigenlines and Mazur’s problem,”\u00a0New developments in the theory of modular forms over function fields<\/i>, Pisa, Italy.<\/li>\n
    8. (January 2019)<\/b>\u00a0“Hyperbolicity of partition Jensen polynomials,”\u00a0Joint math meetings special session on “Partition theory and related topics”<\/i>, Baltimore, MD.<\/li>\n
    9. (March 2019)<\/b>\u00a0“Harmonic Hecke eigenlines and Mazur’s problem,”\u00a0Low dimensional topology and number theory XI<\/i>, Osaka University, Osaka, Japan.<\/li>\n
    10. (March 2019)<\/b>\u00a0“Hyperbolicity of partition Jensen polynomials,”\u00a0AMS special session on Experimental Mathematics in Number Theory, Analysis, and Combinatorics at the AMS Spring Southeastern Sectional Meeting<\/i>, Auburn University, Auburn, AL.<\/li>\n
    11. (March 2019)<\/b>\u00a0“Harmonic Hecke eigenlines and Mazur’s problem,”\u00a0AMS special session on Recent Advances and Applications of Modular forms at the AMS Spring Central and Western Joint Sectional Meeting<\/i>, University of Hawaii, Manoa, Honolulu, HI.<\/li>\n
    12. (June 2019)\u00a0<\/strong>“Schwartz functions and modular forms,” Analytic and Combinatorial Number Theory: The Legacy of Ramanujan<\/em>, University of Illinois at Urbana-Champaign, Urbana, Il.<\/li>\n
    13. (September 2019)\u00a0<\/strong>“Partitions and a conjecture of John Thompson,”\u00a0Palmetto Number Theory Series,\u00a0<\/em>University of North Carolina at Charlotte, Charlotte, NC.<\/li>\n
    14. (November 2019)\u00a0<\/strong>“Partitions and a conjecture of John Thompson,”\u00a0AMS Special Session on Partition Theory and Related Topics,\u00a0<\/em>University of Florida, Gainesville, FL.<\/li>\n
    15. (November 2020)\u00a0<\/strong>“Cranks for Ramanujan-type congruences of k-colored partitions”, UT Tyler Number Theory and Combinatorics Seminar.<\/li>\n<\/ol>\n

      Research Experiences for Undergraduates (REU)<\/h2>\n
        \n
      1. Emory Number Theory REU 2015.<\/li>\n
      2. Advisor at the Emory Number Theory REU 2018.<\/li>\n
      3. Advisor at the Emory Number Theory REU 2019.<\/li>\n<\/ol>\n

        <\/p>\n

        \"Web<\/a><\/div>\n

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        Publications E. Alwaise, R. Dicks, J. Friedman, L. Gu, Z. Harner, H. Larson, M.L. Dawsey, I. Wagner, and J. Weinstock.\u00a0Shifted distinct-part partition identities in arithmetic progressions. Annals of Cominatorics (2017) 21: 4, pp. 479-494. M.L. Dawsey and I. Wagner.\u00a0Congruences for powers of the partition function. Annals of Combinatorics (2017) 21: 1, pp. 83-93. I. Wagner.\u00a0Conjugacy…<\/p>\n","protected":false},"author":8422,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"tags":[],"class_list":["post-6","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/my.dev.vanderbilt.edu\/wagneric\/wp-json\/wp\/v2\/pages\/6","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/my.dev.vanderbilt.edu\/wagneric\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/my.dev.vanderbilt.edu\/wagneric\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/my.dev.vanderbilt.edu\/wagneric\/wp-json\/wp\/v2\/users\/8422"}],"replies":[{"embeddable":true,"href":"https:\/\/my.dev.vanderbilt.edu\/wagneric\/wp-json\/wp\/v2\/comments?post=6"}],"version-history":[{"count":26,"href":"https:\/\/my.dev.vanderbilt.edu\/wagneric\/wp-json\/wp\/v2\/pages\/6\/revisions"}],"predecessor-version":[{"id":68,"href":"https:\/\/my.dev.vanderbilt.edu\/wagneric\/wp-json\/wp\/v2\/pages\/6\/revisions\/68"}],"wp:attachment":[{"href":"https:\/\/my.dev.vanderbilt.edu\/wagneric\/wp-json\/wp\/v2\/media?parent=6"}],"wp:term":[{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/my.dev.vanderbilt.edu\/wagneric\/wp-json\/wp\/v2\/tags?post=6"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}