Publications
- Algebraic Geometry:
- P. Stiller, "Elliptic curves over function fields and the
Picard number," American Journal of Math., Vol. 102, No. 4 (1980),
pp. 565-593.
- P. Stiller, "Differential equations associated with elliptic
surfaces," Journal Math. Soc. Japan, Vol. 32, No. 2 (1981), pp.
203-233.
- P. Stiller, "Monodromy and invariants of elliptic surfaces,"
Pacific Journal of Math., Vol. 92, No. 2 (1981), pp.
433-452.
- P. Stiller, "On the uniformization of certain curves,"
Pacific Journal of Math., Vol. 107, No. 1 (1983), pp.
229-244.
- 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.
- 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.
- P. Stiller, "Automorphic forms and the Picard number of an
elliptic surface," Aspects of Mathematics, Vol. E5, Vieweg Verlag
(1984) pp.1-194.
- 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.
- 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.
- 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.
- P. Stiller, "The Picard numbers of elliptic surfaces with
many symmetries," Pacific Journal of Math., Vol. 128, No. 1 (1987),
pp. 157-189.
- P. Stiller, "Classical Automorphic Forms and Hypergeometric
Functions," Jour. of Number Theory, Vol. 28, No. 2 (1988), pp.
219-232.
- P. Stiller, "Elliptic surfaces with irregularity one,"
Manuscripta Mathematica, 60, (1989), pp. 299-321.
- P. Stiller, "The Arithmetic and Geometry of Elliptic
Surfaces," Contemporary Math., Vol. 133, AMS (1992),
pp.~195-204.
- 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.
- P. Stiller, "Classical Automorphic Forms and Hypergeometric
Functions II: Theta Functions and Gamma(4)," submitted to
Pacific Journal of Mathematica.
- P. Stiller, "On Kloosterman Polynomials and Kloosterman
Sums," submitted to Manuscripta Mathematics.
- P. Stiller, "Splines and Algebraic Geometry," submitted to
Transactions of the AMS.
- E. Davisson and P. Stiller, "Integral Geometry, Grassmannians,
and Ray-Tracing," Army Research Laboratory Technical Report to be
submitted to Computer Aided Geometric Design.
- P. F. Stiller, "The Geometry and Arithmetic of Elliptic
Surfaces," Contemporary Math., Vol. 133, AMS, pp. 195-204, (1992).
- R. Miranda and P. Stiller, "Torsion Sections of Elliptic
Surfaces," Arkiv for Mathematik, accepted to appear shortly,
approximately 13 journal pages.
- Robotics:
- W.-W. Lau, P. F. Stiller, and J. C. Trinkle, "On Some Aspects of
the connectedness of Contact Formation Cells."
- 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.
- 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.
- 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
- 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
- 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).
- 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.
- 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.
- 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).
- 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.
- 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)
- W. W. Lau, P. F. Stiller, and J. C. Trinkle "On the
Connectedness of Physical Contact
Formation Cells," to be submitted
- Computer Vision and Image Recognition:
- 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).
- 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.
- 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.
- Applied and Computational Geometry:
- 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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