André Weil is awarded the 1994 Kyoto Prize in Basic Sciences. Weil has given to researchers in fields such as functional analysis, several complex variables, topology, differential geometry, complex manifolds, Lie group theory, number theory, and algebraic geometry. Immeasurable is the ideological influence that Dr. His influences are felt in many fields of mathematics. Weil’s mathematical ideology is pure and universal. Weil also contributed to the development of the field of geometry, by studying the harmonic analysis of topological groups by analyzing characteristic classes by building the foundation for Kähler geometry and by conducting geometric studies of theta functions.ĭr. Weil has contributed greatly to the development of number theory, by establishing number theory related to algebraic groups by building the research foundation for automorphic representations by conducting a global study on zeta functions of algebraic varieties over a number field (known as Hasse-Weil Functions) and by researching the means to combine automorphic functions and algebraic geometry form the standpoint of number theory.ĭr. The hypotheses served as an important guiding principle in later breakthroughs over the entire realms of algebra and geometry.ĭr. Weil had in the topology of abstract algebraic varieties. This Weil Hypotheses is not a simple generalization, but a formulation born of the deep insights that Dr. Weil proposed a detailed hypotheses extending his results on the congruence zeta functions to algebraic varieties of higher dimensions. This, in turn, led to the proof of the Riemann hypothesis on congruence zeta functions of algebraic curves and Abelian varieties. He then succeeded in inventing a purely algebraic theory of Abelian varieties. Weil completed the foundation for abstract algebraic geometry supported by the abstraction of intersection theory and utilized it to build the basis for research to relate number theory to algebraic geometry. This served as the basis for many subsequent findings and solutions of remarkable correlations across the traditional boundaries. Weil’s penetrating insights and original ideas have played an especially important role in relating number theory to geometry. Examples abound where his works acted as the latent catalysts for many fruitful research studies. He conjectured innovative hypotheses and concepts to correlate multiple fields of mathematics and dramatically extend individual fields by breaking down barriers. Weil’s own personal contributions are broadly eminent. profound connections between algebraic geometry and number theory. André Weil is a renowned mathematician who pioneered research in a broad range of mathematics and has thereby become the most significant contributor to the drastic development of pure mathematics in this century.ĭr. Andr Weil was a very influential French mathematician around the middle of the 20th.