Alfredo Villanueva

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Address:

Department of Mathematics
PO Box 9018
University of Puerto Rico
Mayagüez, PR 00681-9018
e-mail: avillan@math.uprm.edu

Education

2007 Ph.D., Pure Mathematics, University of Iowa, USA
Thesis subject: Symmetries in Differential Geometry: A New and Computational Approach to Prolongations.
(Advisors: Thomas Branson and Palle Jorgensen)
2000 Master, Mathematics, University of Puerto Rico
Graduated with Honors, 4.0 GPA.
1996 Bachelor of Science in Mathematics, Universidad Nacional Mayor de San Marcos

Appointments

2007- Assistant Professor of Mathematics, University of Puerto Rico.
2001-2007    Teaching assistant, University of Iowa.
2000-2001 Instructor of Mathematics, University of Puerto Rico.

Teaching Experience

Fall 2007 -     Recitations in Undergraduate Mathematics, University of Puerto Rico.
Fall 2006 Lectured discussion section of Calculus and Matrix Algebra for Business. University of Iowa.
Summer 2006     Led Analysis Ph.D. Comprehensive Exam Seminar. University of Iowa.
Fall 2005 Lectured discussion sections of Engineering Math I: Single Variable Calculus. University of Iowa.
Spring 2005 Lectured discussion sections of Finite Mathematics. University of Iowa.
Spring 2004 Lectured discussion sections of Mathematics for Biological Sciences. University of Iowa.
Fall 2003 Lectured Basic Algebra. University of Iowa.
Fall 2001 - 2003 Tutored students up to and including the Calculus II level. University of Iowa.
Fall 2000 - 2001 Taught Pre-Calculus and Calculus courses. University of Puerto Rico.
1998 - 2000 Taught Pre-Calculus and Calculus courses. University of Puerto Rico.
1997 Taught Calculus, Differential Equations and Computational Mathematics courses.. Universidad Nacional de San Marcos, Lima-Peru

Publications

  1. Thomas. Branson, Alfredo Villanueva Symmetries in Differential Geometry: A Computational Approach to Prolongations.
    Acta Applicandae Mathematicae, Volume 98, Number 1, August, 2007.

Invited Talks

  1. February 2008,  XXIII Seminario Interuniversitario de Investigacion Matematica, SIDIM  (Carolina, PR)

    Simetrias del Operador de Yamabe en Variedades Riemannianas.

  2. January 2008, UNMSM, Ciclo de Conferencias Summer 2008, Universidad de San Marcos (Lima, Peru)

    Symmetrias de Primer Orden de Potencias del Laplaciano.

  3. May 2007, Midwest Geometric Conference, University of Iowa (Iowa City, USA)

    A computational approach to symmetries in conformal geometry.

  4. January 2007, American Mathematical Society Annual meeting, New Orleans, (LA, USA)

    On Conformal Inv. First Order Symm. Op. of Powers of the Laplacian.

  5. November 2006, Department of Mathematics, Seoul National University, Korea (Seoul, South Korea)

    Lectures and research on symmetry operators.

  6. July 2006, Institute for Mathematics and Its Applications (IMA), University of Minnesota (MN, USA)

    A Method to Find Symmetries of the Yamabe Operator.

  7. April 2006, Mathematical Association of America (MAA): Iowa Section, Iowa State University (Ames, USA)

    Prolongation on Riemannian Manifolds.

  8. March 2006, James F. Jakobsen Conference 2006, University of Iowa (Iowa City, USA)

    Procedure of Prolongation in a Systematic Manner for an O.S.

  9. January 2006, UNMSM, Summer 2006 Conferences, Universidad de San Marcos (Lima, Peru)

    Mathematics in M Theory.

  10. January 2006, Encuentro Cientifico Internacional ECI, Universidad Nacional de Ingenieria, (Lima, Peru)

    Closing the system [r(a'bc)]0 = 0.

  11. November 2004, Differential Geometry Seminar; University of Iowa (Iowa City, USA)

    Formulas relating to Killing differential operators.

  12. february 2000, XV Seminario Interuniversitario de Investigacion Matematica, University of Puerto Rico (PR)

    On Classification of Semi-simple Lie Algebras.

  13. October 1996, Peruvian Mathematics Society, (Ayacucho, Peru)

    Finite Elements in Special Domains.

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