# Research

## Publications

**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.**M.L. Dawsey and I. Wagner.**Congruences for powers of the partition function. Annals of Combinatorics (2017) 21: 1, pp. 83-93.**I. Wagner.**Conjugacy growth series for wreath product finitary symmetric groups. Research in Number Theory (2017) 3:17.**I. Wagner.**Harmonic Maass form eigencurves. Research in the Mathematical Sciences (2018) 5:24.**K. Ono, R. Schneider, and I. Wagner.**Partition-theoretic formulas for arithmetic densities. Gainesville International Number Theory Conference (2017) pp. 611–624.**H. Larson and I. Wagner.**Hyperbolicity of the partition Jensen polynomials. Research in Number Theory (2019) 5:19.**I. Wagner.**The Jensen-Polya program for various L-functions. Forum Mathematicum (2020) 32:2.**L. Rolen and I. Wagner.**A note on Schwartz functions and modular forms. Archiv der Mathematik (2020) 115, pp. 35-51.**M.L. Dawsey, K. Ono, and I. Wagner.**Multiquadratic fields generated by characters of A_n. Journal of Algebra, 533 (2019), 339-343.**M.L. Dawsey, K. Ono, and I. Wagner.**Fields generated by characters of finite linear groups. Archiv der Mathematik (2021) 116, pp. 487-500.**M. Griffin, K. Ono, L. Rolen, J. Thorner, Z. Tripp, and I. Wagner.**Jensen polynomials for the Riemann Xi-function. Submitted for publication.**M. Alsharif, D. de Laat, M. Milinovich, L. Rolen, Z. Tripp, and I. Wagner.**To be determined. In preparation.**R. Schneider, J.A. Sellers, and I. Wagner.**Sequentially congruent partitions and partitions into squares. Accepted for publication in The Ramanujan Journal.**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.**L. Rolen, Z. Tripp, and I. Wagner.**Cranks for Ramanujan-type congruences of k-colored partitions. Submitted for publication.**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.**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.**I. Wagner.**On a new class of Laguerre-Pólya type functions with applications in number theory. Submitted for publication.**I. Wagner.**Jacobi forms with complex multiplication and a problem of Dyson. In preparation.**J. Males, A. Mono, L. Rolen, and I. Wagner.**TBD. In preparation.

## Conferences and seminar presentations

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

## Research Experiences for Undergraduates (REU)

- Emory Number Theory REU 2015.
- Advisor at the Emory Number Theory REU 2018.
- Advisor at the Emory Number Theory REU 2019.