Contact Information

School of Mathematical Sciences
University College Dublin
Belfield, Dublin 4
Ireland

Office: SERC - Hub 33
Phone: +353 1 716 2558
Fax: +353 1 716 1172

Email: sander[dot]zwegers[at]ucd[dot]ie

Research Interests

My area of interest is number theory. More specifically, I study modular forms and variations thereof, such as Maass forms, mock modular forms, (indefinite) theta functions, (Maass) Jacobi forms, etc.

Teaching

MATH40260: Modular forms of one variable, Spring 2010
MATH20030: Linear Models in the Sciences, Fall 2009
MATH20070: Optimization in Finance, Fall 2009
MATH20150: Graphs and Networks, Spring 2009
MST30030: Financial Mathematics, Spring 2009
MATH20070: Optimization in Finance, Fall 2008
MATH30290: Mathematical Logic, Fall 2008
MST30030: Financial Mathematics, Spring 2008
MST30070: Introduction to Differential Geometry, Spring 2008

Publications and preprints

  1. Mock theta functions and real analytic modular forms
    Contemporary Mathematics 291, 2001, pp. 269-277
  2. Mock Theta Functions
    PhD Thesis, ISBN 90-393-3155-3, Utrecht University, 2002.
    Available in printed form on request.
  3. On two fifth order mock theta functions
    The Ramanujan Journal 20, 2009, pp. 207-214
  4. The Folsom-Ono grid contains only integers
    Proceedings of the American Mathematical Society 137, 2009, pp. 1579-1584
  5. Rank-crank type PDE's and non-holomorphic Jacobi forms
    (with K. Bringmann)
    Mathematical Research Letters, accepted for publication
  6. The tenth order mock theta functions revisited
    Bulletin of the London Mathematical Society, accepted for publication
  7. Rank-Crank type PDE's for higher level Appell functions
    Acta Arithmetica, accepted for publication
  8. Maass waveforms arising from sigma and related indefinite theta functions
    Submitted for publication
  9. Mock Theta Functions I: Appell functions and the Mordell Integral
    In preparation
  10. Mock Theta Functions II: Indefinite theta functions of type (r,1)
    In preparation