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Research Activities
 
Dr. Jin An presenting his scientific findings



Workshops

PRI workshops are of a world-class level and restricted to a limited number of invited participants for the purpose of in-depth, one-on-one interactions. Though most PRI workshops are on mathematics, science, and technology, the institute welcomes workshop proposals in other fields to promote interactions with scholars and professionals outside science.

PRI strongly encourages its workshop participants from abroad to have a cultural and nature-based experience while in Belize. This may include visiting Belize's lush tropical rain forest with its numerous species of exotic flora and fauna, exploring majestic Mayan temples, snorkeling near its breathtaking barrier reef, or immersing in the local culture by eating traditional Belizean dishes, dancing to the distinct rhythms of the Garifuna drums, and meeting some of the Creole, Garifuna, and Mestizo peoples.
See Visitor Information.

Policy on Smoking: Smoking is not permitted at PRI, including on the grounds.

Sample Scientific Workshops

Books

The work was conducted in whole/part at PRI:

    • Scientific Reasoning, A. O. Petters (BRC Publishing, Belize, 2007)

    • Algebra, Geometry, and Trigonometry, A. O. Petters (BRC Publishing, Belize, 2007)

    • PSE Mathematics, A. O. Petters (BRC Publishing, Belize, 2007)

Scientific Papers

These papers grew either out of research conducted in whole/part at PRI or resulted from a PRI workshop:

    • A Mathematical Theory of Stochastic Microlensing II. Random Images, Shear
      and the Kac-Rice Formula
      A. O. Petters, B. Rider, and A. M. Teguia, J. Math. Phys., in press (2009)
      astro-ph arXiv:0807.4984v2

    • A Mathematical Theory of Stochastic Microlensing I. Random Time Delay Functions
      and Lensing Maps
      A. O. Petters, B. Rider, and A. M. Teguia, J. Math. Phys. 50, 072503 (2009)
      astro-ph arXiv:0807.0232v2

    • A Universal Magnification Theorem III. Caustics Beyond Codimension Five
      A. B. Aazami and A. O. Petters, J. Math. Phys. 50, 082501 (2009)
      math-ph arXiv:0909.5235

    • A Universal Magnification Theorem II. Generic Caustics up to Codimension Five
      A. B. Aazami and A. O. Petters, J. Math. Phys. 50, 082501 (2009)
      astro-ph arXiv:0811.3447v4

    • A Universal Magnification Theorem for Higher-Order Caustic Singularitites
      A. B. Aazami and A. O. Petters, J. Math. Phys. 50, 032501 (2009)
      astro-ph arXiv:0811.3447v2

    • Gravitational Lensing by Elliptical Galaxies, and the Schwarz Function
      D. Khavinson, C. D. Fassnacht, and C. R. Keeton in "Analysis and Mathematical Physics,"
      edited by B. Gustafsson and A. Vasilev Proceedings of the Conference on New Trends in Complex and Harmonic Analysis (Birkhauser, Boston, 2007)
      math-ph arXiv:0708.2684v1

    • Light's Bending Angle due to Black Holes: From the Photon Sphere to Infinity,
      S. V. Iyer and A. O. Petters, Gen. Rel. and Grav. 39, 1563 (2007)
      gr-qc/0611086

    • Formalism for Testing Theories of Gravity Using Lensing by Compact Objects. III.
      Braneworld Gravity
      , C. Keeton and A. O. Petters, Phys. Rev. D 73, 104032 (2006)
      gr-qc/0603061

    • Formalism for Testing Theories of Gravity Using Lensing by Compact Objects. II.
      Probing Post-Post-Newtonian Metrics

      C. Keeton and A. O. Petters, Phys. Rev. D 73, 044024 (2006)
      gr-qc/0601053