Publications

  1. Algebraic Geometry:
    1. P. Stiller, "Elliptic curves over function fields and the Picard number," American Journal of Math., Vol. 102, No. 4 (1980), pp. 565-593.
    2. P. Stiller, "Differential equations associated with elliptic surfaces," Journal Math. Soc. Japan, Vol. 32, No. 2 (1981), pp. 203-233.
    3. P. Stiller, "Monodromy and invariants of elliptic surfaces," Pacific Journal of Math., Vol. 92, No. 2 (1981), pp. 433-452.
    4. P. Stiller, "On the uniformization of certain curves," Pacific Journal of Math., Vol. 107, No. 1 (1983), pp. 229-244.
    5. P. Stiller, "Certain reflexive sheaves on $P^n_C$ and a problem in approximation theory," Transactions Am. Math. Soc., Vol. 279, No. 1 (1983), pp. 125-142.
    6. P. Stiller, "Special values of Dirichlet series, monodromy, and the periods of automorphic forms," Memoirs Am. Math. Soc., Vol. 49, No. 299 (1984) pp. 1-130.
    7. P. Stiller, "Automorphic forms and the Picard number of an elliptic surface," Aspects of Mathematics, Vol. E5, Vieweg Verlag (1984) pp.1-194.
    8. P. Stiller, "A note on automorphic forms of weight one and weight three," Transactions of the American Mathematical Soc., Vol. 291, No. 2 (1985), pp. 503-518.
    9. P. Stiller, "Some applications of algebraic geometry to systems of partial differential equations and to approximation theory," Proceedings of the Lefschetz Centennial Conference, Contemporary Mathematics, Vol. 58, Part 1, AMS (1986), pp. 239-250.
    10. P. Stiller, "Vector bundles on $P^n_C$ and systems of partial differential equations I," Trans. of the Amer. Math. Soc., Vol. 298, No. 2 (1986), pp. 537-548.
    11. P. Stiller, "The Picard numbers of elliptic surfaces with many symmetries," Pacific Journal of Math., Vol. 128, No. 1 (1987), pp. 157-189.
    12. P. Stiller, "Classical Automorphic Forms and Hypergeometric Functions," Jour. of Number Theory, Vol. 28, No. 2 (1988), pp. 219-232.
    13. P. Stiller, "Elliptic surfaces with irregularity one," Manuscripta Mathematica, 60, (1989), pp. 299-321.
    14. P. Stiller, "The Arithmetic and Geometry of Elliptic Surfaces," Contemporary Math., Vol. 133, AMS (1992), pp.~195-204.
    15. A. Farahat, R. Ram, P. Stiller, and J. Trinkle, "Dexterous Manipulation Planning and Execution for an Enveloped Slippery Object," Proc. IEEE International Conf. on Robotics and Automation, to appear.
    16. P. Stiller, "Classical Automorphic Forms and Hypergeometric Functions II: Theta Functions and Gamma(4)," submitted to Pacific Journal of Mathematica.
    17. P. Stiller, "On Kloosterman Polynomials and Kloosterman Sums," submitted to Manuscripta Mathematics.
    18. P. Stiller, "Splines and Algebraic Geometry," submitted to Transactions of the AMS.
    19. E. Davisson and P. Stiller, "Integral Geometry, Grassmannians, and Ray-Tracing," Army Research Laboratory Technical Report to be submitted to Computer Aided Geometric Design.
    20. P. F. Stiller, "The Geometry and Arithmetic of Elliptic Surfaces," Contemporary Math., Vol. 133, AMS, pp. 195-204, (1992).
    21. R. Miranda and P. Stiller, "Torsion Sections of Elliptic Surfaces," Arkiv for Mathematik, accepted to appear shortly, approximately 13 journal pages.
  2. Robotics:
    1. W.-W. Lau, P. F. Stiller, and J. C. Trinkle, "On Some Aspects of the connectedness of Contact Formation Cells."
    2. A. O. Farahat, P. F. Stiller, and J. C. Trinkle, "On the algebraic geometry of contact formation cells for systems of polygons," Proceedings, First Workshop on Algorithmic Foundations of Robotics. Vol. 4, pp. 3028-3035, May 1994.
    3. A. O. Farahat, P. F. Stiller, and J. C. Trinkle, "On the algebraic geometry of contact formation cells for systems of polygons," IEEE Transactions on Robotics and Automation, 11(4): June 1995.
    4. W.-W. Lau, P. F. Stiller, and J. C. Trinkle, "Some remarks on the geometry of contact formation cells," Proceeding, IEEE International Conference on Intelligent Robots and Systems, to appear in August 1995
    5. J. C. Trinkle, A. O. Farahat, and P. F. Stiller, "Second order stability cells of frictionless rigid body systems," Proceedings, IEEE International Conference on Robotics and Automation, Vol. 4, pp. 2815-2821, May 1994
    6. A. O. Farahat, Ram, R. C., Stiller, P. F., and J. C. Trinkle, "Dexterous Manipulation Planning and Execution for an Enveloped Slippery Object," Proc. IEEE International Conf. on Robotics and Automation, pp. 1642-1649, Atlanta, GA, (1993).
    7. A. O. Farahat, P. F. Stiller, and J. C. Trinkle, "On the Geometry of Contact Formation Cells for Systems of Polygons," IEEE Transactions on Robotics and Automation, accepted, 11/94, approximately 30 journal pages.
    8. J. C. Trinkle, A. O. Farahat, and P. F. Stiller, "First-Order Stability Cells of Active Multi-Rigid-Body Systems," IEEE Transactions on Robotics and Automation, accepted 10/94, approximately 25 journal pages.
    9. J. C. Trinkle, P. F. Stiller, and J.-S. Pang "Planning Manipulation Tasks with Sliding and Rolling Contacts," Proc. NSF Design, Manufacturing, and Industrial Innovation Grantees' Meeting, La Jolla, CA (Jan. 1995).
    10. W. W. Lau, P. F. Stiller, and J. C. Trinkle "Some Remarks on the Geometry of Contact Formation Cells," submitted to IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS), Pittsburg,PA, 5/95, submitted 11/94.
    11. J. C. Trinkle, A. O. Farahat, and P. F. Stiller, "Second-Order Stability Cells of Frictionless Rigid Body Systems," Report no. TAMU 93-020, Department of Computer Science, Texas A&M University, College Station, TX, (4/93)
    12. W. W. Lau, P. F. Stiller, and J. C. Trinkle "On the Connectedness of Physical Contact Formation Cells," to be submitted
  3. Computer Vision and Image Recognition:
    1. P. F. Stiller, C. A. Asmuth, and C. S. Wan, "Invariants, Indexing, and Single View Recognition," Proceedings of ARPA Image Understanding Workshop, 1423-1428, Monterrey CA, (1994).
    2. P. F. Stiller, C. A. Asmuth, and C. S. Wan, "A General Theory of Single View Recognition - the Affine Case - with Applications to Indexing Image Databases for Content Based Retrieval," International Journal of Computer Vision 10/94.
    3. P. F. Stiller, C. A. Asmuth, and C. S. Wan, "Single View Recognition - the Perspective Case - with Applications to Indexing Image Databases for Content Based Retrieval," International Conference on Computer Vision (ICCV), M.I.T., Cambridge, MA, 5/94, submitted 11/94.
  4. Applied and Computational Geometry:
    1. Okamoto, E., Aitken, W., Blakley, G. R., and P. F. Stiller, "Simple Permutation Ciphers Using Polynomials over Finite Fields," submitted to Crypto '94.
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