Publications

Preprints

Journal Articles

  1. A Maass Lifting of Theta cubed and Class Numbers of Real and Imaginary Quadratic Fields
    joint with Robert C. Rhoades.
    Mathematical Research Letters (to appear)
    The article can be obtained from the ArXiV
  2. On certain explicit congruences for mock theta functions Proceedings of the AMS
    The article can be obtained from PAMS or the ArXiV The computations in this paper use the following c++ code: cusp.cpp, omega.cpp, omegawat5.cpp, cesaro.cpp and the following code for computing with q-series qseries.cpp, qseries.h.
  3. Satisfiability of Algebraic Circuits over Sets of Natural Numbers
    joint with Christian Glaßer, Christian Reitwießner, Stephen Travers.
    Discrete Applied Mathematics
  4. Equivalence Problems for Circuits over Sets of Natural Numbers
    joint with Christian Glaßer, Katrin Herr, Christian Reitwießner, Stephen Travers
    Theory of Computing Systems,46(1), 80-103,2010

Refereed Conference Proceedings

  1. Satisfiability of Algebraic Circuits over Sets of Natural Numbers
    joint with Christian Glaßer, Christian Reitwießner, Stephen Travers.
    Proceedings 27th Annual Conference on Foundations of Software Technology and Theoretical Computer Science (FSTTCS), New Delhi, India, 2007. Lecture Notes in Computer Science 4855, pages 253-264, Springer-Verlag, 2007.
  2. Equivalence Problems for Circuits over Sets of Natural Numbers
    joint with Christian Glaßer, Katrin Herr, Christian Reitwießner, Stephen Travers
    Proceedings International Computer Science Symposium in Russia (CSR), Ekaterinburg, Russia, 2007. Lecture Notes in Computer Science 4649, pages 127-138, Springer-Verlag, 2007.

Thesis

In my Diploma thesis I study the distribution of squares in arithmetic progressions over number fields: Download as pdf.

Talks