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News
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For Immediate Release - Monday,
August 26, 2002 |
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National Award
CSI Mathematician Wins Guggenheim
Everybody Loves Riemann
Rafael Herrera, Assistant Professor of Mathematics
at the College of Staten Island, was named a Guggenheim Fellow in
the 2002 competition.
Herrera's research will be in the "Classification
Problems in Riemannian Geometry of Manifolds with Special
Structures."
In his classic work, Euclid focused on the geometry
of the (flat) plane. The study of curved surfaces like those of a
sphere or a doughnut, flowered in the late 19th century, thanks to
mathematicians such as the German-born J. C. F. Gauss and G. F. B.
Riemann. Their revolutionary ideas and use of calculus to study the
geometry of surfaces created the field of Differential Geometry and
laid the mathematical foundation for the development of theories
such as the theory of relativity. Their studies led to the
definition and study of abstract multidimensional spaces or
n-dimensional Riemannian manifolds.
Herrera, working in the realm of abstraction,
studies multidimensional spaces, which under certain circumstances
are related to physical models of the world. His objective during
his Guggenheim research will be to achieve the classification of the
positive quaternion-Kähler manifolds, which form a family of
Riemannian manifolds with special structures.
Herrera earned a BSc in Mathematics from the
National University of Mexico in 1993. He graduated with Honors, and
was a recipient of the prestigious and competitive Gabino Barreda
Medal for the highest grade average among the 130,000 undergraduate
students in the University.
In 1993, Herrera received a full scholarship to
attend Oxford University, UK, where he entered the PhD program in
Mathematics. Herrera became a Junior Research Fellow at Worcester
College, Oxford, from 1996-1998 by successfully competing against
300 other scholars in the Arts and Sciences.
Upon graduating from Oxford in 1997, Herrera became
a Gibbs Instructor (an endowed position for promising young
mathematicians) at Yale University in 1998-2000, teaching
undergraduate as well as graduate courses on Complex manifolds and
Riemannian manifolds with special holonomy.
Before joining CSI, Herrera was a Visiting Professor
at the University of California at Riverside, teaching Differential
and Integral Calculus of one and several variables, Linear Algebra,
Differential Equations and Differential Geometry.
Concomitantly, Herrera was the Director of Upper
Elementary School Mathematics Institute for teachers of Coachella
Valley Unified School District, a K-12 outreach project funded by
the California Department of Education through the University of
California where he endeavored to raise the educational standards of
current teachers.
In addition to his recent Guggenheim, Herrera is
working on a joint project funded by the National Science Foundation
in association with Professor Yat-Sun Poon, the Primary Researcher
at the University of California at Riverside.
United States Senator Simon Guggenheim and his wife
established the John Simon Guggenheim Memorial Foundation in 1925, as
a memorial to a son who died April 26, 1922. The Foundation offers
Fellowships to further the development of scholars and artists under
the freest possible conditions and irrespective of race, color, or
creed. The Fellowships are awarded to men and women who have already
demonstrated exceptional capacity for productive scholarship or
exceptional creative ability in the arts.
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