"The main reason for doing mathematics is that it is fun." — John Milnor
Lars Hörmander (Sweden)
Lars Hörmander received the medal in his home country for his monumental contributions to the theory of linear partial differential equations. Hörmander unified and expanded the foundational work of earlier mathematicians, creating a comprehensive linear framework using distribution theory and Fourier analysis. His deep geometric and analytical insights allowed mathematicians to determine precisely when linear partial differential equations have solutions, laying the essential theoretical foundation for modern mathematical physics and wave propagation analysis.
John Milnor (United States)
American mathematician John Milnor was awarded the medal for his astounding discovery in differential topology: the existence of "exotic spheres." Milnor proved that a seven-dimensional sphere can possess multiple distinct smooth differential structures that are topologically identical but geometrically non-equivalent. This finding opened up the field of differential topology, disproving long-held assumptions about geometric spaces and leading to entirely new subfields of modern geometry.
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