selected publications academic article Culbertson, J., Dochtermann, A., Guralnik, D. P., & Stiller, P. F. (2020). Extendable Shellability for $d$-Dimensional Complexes on $d+3$ Vertices. The Electronic Journal of Combinatorics. 27(3), Culbertson, J., Gustafson, P., Koditschek, D. E., & Stiller, P. F. (2020). FORMAL COMPOSITION OF HYBRID SYSTEMS. THEORY AND APPLICATIONS OF CATEGORIES. 35, 1634-1682. Miranda, R., & Stiller, P. (1995). Torsion sections of elliptic surfaces. Arkiv foer Matematik. 33(1), 117-134. Farahat, A. O., Stiller, P. F., & Trinkle, J. C. (1995). On the geometry of contact formation cells for systems of polygons. IEEE Transactions on Automation Science and Engineering. 11(4), 522-536. Okamoto, E., Aitken, W., Blakley, G. R., & Stiller, P. F. (1994). Simple Permutation Ciphers Using Polynomials over a Finite Field. 239-244. Stiller, P. F. (1988). On the classification of elliptic surfaces withq=1. Manuscripta Mathematica. 60(3), 299-321. Stiller, P. F. (1988). Classical automorphic forms and hypergeometric functions. Journal of Number Theory. 28(2), 219-232. Stiller, P. (1987). The Picard numbers of elliptic surfaces with many symmetries. PACIFIC JOURNAL OF MATHEMATICS. 128(1), 157-189. Stiller, P. F. (1986). Vector Bundles on Complex Projective Spaces and Systems of Partial Differential Equations. I. Transactions of the American Mathematical Society. 298(2), 537-537. Stiller, P. F. (1986). Vector bundles on complex projective spaces and systems of partial differential equations. I. Transactions of the American Mathematical Society. 298(2), 537-548. Stiller, P. F. (1985). A note on automorphic forms of weight one and weight three. Transactions of the American Mathematical Society. 291(2), 503-518. Stiller, P. (1984). Special values of Dirichlet series, monodromy, and the periods of automorphic forms. MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY. 49(299), 0-0. Stiller, P. (1983). On the uniformization of certain curves. PACIFIC JOURNAL OF MATHEMATICS. 107(1), 229-244. Stiller, P. F. (1983). Certain reflexive sheaves on ${\bf P}sp{n}sb{{\bf C}}$ and a problem in approximation theory. Transactions of the American Mathematical Society. 279(1), 125-125. F. STILLER, P. (1981). Differential equations associated with elliptic surfaces. Journal of Mathematical Society of Japan. 33(2), 203-233. Stiller, P. (1981). Monodromy and invariants of elliptic surfaces. PACIFIC JOURNAL OF MATHEMATICS. 92(2), 433-452. Stiller, P. F. (1980). Elliptic Curves Over Function Fields and the Picard Number. American Journal of Mathematics. 102(4), 565-565. book Stiller, P. F. (2013). Automorphic Forms and the Picard Number of an Elliptic Surface. Springer Science & Business Media. conference paper Stiller, P. F. (2004). Vision metrics and object/image relations II: Discrimination metrics and object/image duality. 35th European Mask and Lithography Conference (EMLC 2019). 74-85. Stiller, P. F., Asmuth, C. A., & Wan, C. S. (1996). Single-view recognition: the perspective case. 35th European Mask and Lithography Conference (EMLC 2019). 226-235. FARAHAT, A. O., STILLER, P. F., & TRINKLE, J. C. (1995). On the algebraic geometry of a class of contact formation cells. 477-494. LAU, W. W., STILLER, P. F., & TRINKLE, J. C. (1995). Some remarks on the geometry of contact formation cells. 419-426. TRINKLE, J. C., FARAHAT, A. O., STILLER, P. F., & IEEE. (1994). 2ND-ORDER STABILITY CELLS OF A FRICTIONLESS RIGID-BODY GRASPED BY RIGID FINGERS. 1994 IEEE INTERNATIONAL CONFERENCE ON ROBOTICS AND AUTOMATION: PROCEEDINGS, VOLS 1-4. 2815-2821. Trinkle, J. C., Stiller, P. F., Pang, J. S., & FDN, N. (1994). Planning manipulation tasks with sliding and rolling contacts. 563-564. Farahat, A. O., Stiller, P. F., & Trinkle, J. C. (1994). On the algebraic geometry of contact formation cells for systems of polygons. 1994 IEEE INTERNATIONAL CONFERENCE ON ROBOTICS AND AUTOMATION: PROCEEDINGS, VOLS 1-4. 3028-3033 vol.4-3033. Trinkle, J. C., Farahat, A. O., & Stiller, P. F. (1994). Second-order stability cells of a frictionless rigid body grasped by rigid fingers. 1994 IEEE INTERNATIONAL CONFERENCE ON ROBOTICS AND AUTOMATION: PROCEEDINGS, VOLS 1-4. 2815-2821. Trinkle, J. C., Ram, R. C., Farahat, A. O., & Stiller, P. F. (1993). Dexterous manipulation planning and execution of an enveloped slippery workpiece. 1994 IEEE INTERNATIONAL CONFERENCE ON ROBOTICS AND AUTOMATION: PROCEEDINGS, VOLS 1-4. 442-448.
teaching activities MATH304 Linear Algebra Instructor MATH308 Differential Equations Instructor MATH415 Modern Algebra I Instructor MATH433 Applied Algebra Instructor MATH467 Modern Geometry Instructor MATH470 Comm And Cryptography Instructor MATH478 Topological Data Analysis Instructor MATH489 Sptp: Intro Topological Data Instructor
chaired theses and dissertations Abbott, Kevin Toney (2007-08). Applications of algebraic geometry to object/image recognition. Ko, Youngdeug (2009-12). Dimensions of Bivariate Spline Spaces and Algebraic Geometry.
education and training Massachusetts Institute of Technology - (Cambridge, Massachusetts, United States) Ph.D. in Mathematics, Princeton University - (Princeton, New Jersey, United States) 1977 M.A. in Mathematics, Princeton University - (Princeton, New Jersey, United States) 1974 S.B. in Mathematics, Massachusetts Institute of Technology - (Cambridge, Massachusetts, United States) 1973