Amanda Folsom

    

Amanda Folsom

National Science Foundation
Postdoctoral Fellow &
Van Vleck Assistant Professor

Department of Mathematics
University of Wisconsin
480 Lincoln Drive
Madison, Wisconsin 53706


     Publications
  1. Kac-Wakimoto characters and universal mock theta functions.
    Transactions of the American Mathematical Society, accepted for publication.

  2. Modularity and the distinct rank function.
    Ramanujan Journal, accepted for publication.

  3. Book Review: The 1-2-3 of modular forms, by J.H. Bruinier, G. van der Geer, G. Harder, and D. Zagier.
    Bulletin of the American Mathematical Society 46 (2009), 527-533.

  4. Limiting distribution of traces of Maass-Poincaré series, (with R. Masri).
    Submitted.

  5. Equidistribution of Heegner points and the partition function, (with R. Masri).
    Mathematische Annalen, accepted for publication (2009).

  6. The spt-function of Andrews, (with K. Ono).
    Proceedings of the National Academy of Sciences, USA, 105 no. 51 (2008), 20152-20156.

  7. A short proof of the mock theta conjectures using Maass forms.
    Proceedings of the American Mathematical Society 136 (2008), 4143-4149.

  8. q-series and weight 3/2 Maass forms, (with K. Bringmann, K. Ono).
    Compositio Mathematica 145 (2009), 541-552.

  9. Duality involving the mock theta function f(q), (with K. Ono).
    Journal of the London Mathematical Society (2) 77 (2008), 320-334.
    Corrigendum. (Some numbers in Table (1.3) are corrected.)

  10. Modular units, divisor class groups, and the q-difference equations of Selberg.
    Mathematical Research Letters, accepted for publication.

  11. Class invariants and cyclotomic unit groups from special values of modular units.
    Journal de Théorie des Nombres de Bordeaux (20) no. 2 (2008), 289-325.

  12. A characterization of the modular units.
    International Journal of Number Theory (5) no. 2 (2009), 303-310.

  13. Modular forms and Eisenstein's continued fractions.
    Journal of Number Theory 117 Issue 2 (2006), 279-291.

  14. On a quantitative refinement of the Lagrange spectrum.
    Acta Arithmetica 102.1 (2002), 55-82.


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