Amanda Folsom

National Science Foundation Postdoctoral Fellow &
Van Vleck Assistant Professor

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

Office Hours (Fall 09):t.b.a.
Office Location:319 Van Vleck
Office Telephone:(608)-263-3206
Email:folsom (at) math (dot) wisc (dot) edu
Research Interests:
Ph.D UCLA (2006)NSF Postdoctoral Fellow (2007-   )
Advisor:William DukeMentor:Ken Ono
Thesis title: Modular Units
Upcoming Travel/Talks
Teaching:
Summer2009: R.E.U. in Continued fractions, probability, modular forms, elliptic curves and L-functions
Spring2009: The Theory of Calculus (Math 421)
Graduate student number theory seminar (co-mentor)
Fall2008: Algebraic Number Theory (Math 748)
Graduate student number theory seminar (co-mentor)
Summer 2008: R.E.U. in Modular Forms and Number Theory
Summer 2007: R.E.U. in Drinfeld Modules and Function Fields
Publications:
  1. Kac-Wakimoto characters and universal mock theta functions.
    Submitted.

  2. Modularity and the distinct rank function.
    Submitted.

  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. The error term in Rademacher's formula for the partition function, (with R. Masri).
    Submitted.

  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. 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.

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

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

  13. On a quantitative refinement of the Lagrange spectrum.
    Acta Arithmetica 102.1 (2002), 55-82.
Curriculum Vitae:         .pdf     .dvi

Links           
  • Max-Planck-Institut für Mathematik
  • Introduction to LaTeX2e
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  • LA Marathon 2006
  • UCLA Mathematics Department
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  • MathSciNet
  • LA Marathon 2003
  • Wisconsin REU 2007
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  • Wisconsin REU 2008
  • Wisconsin REU 2009