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Poincaré had a major contribution to number theory in 1901 in connection with the Diophantine problem of finding the points with rational coordinates on a curve f(x, y) = 0, such that the coefficients of f are rational numbers.  

Poincaré had a major contribution to number theory in 1901 in connection with the Diophantine problem of finding the points with rational coordinates on a curve f(x, y) = 0, such that the coefficients of f are rational numbers.  

Poincaré was an originator of the special theory of relativity,<ref>Henri Poincaré: La science et l'hypothèse, E. Flamarion, Paris, 1902; [http://spartan.ac.brocku.ca/~lward/Poincare/Poincare_1905_07.html English translation]</ref> independent of [[Hendrik Lorentz]] and prior to [[Albert Einstein]].  

Poincaré was an originator of the special theory of relativity,<ref>Henri Poincaré: La science et l'hypothèse, E. Flamarion, Paris, 1902; [http://spartan.ac.brocku.ca/~lward/Poincare/Poincare_1905_07.html English translation]</ref> using ideas of [[Hendrik Lorentz]] and prior to [[Albert Einstein]].  

Poincaré contributed to the understanding of the difficult three-body problem in celestial physics. He demonstrated that series expansions previously used in studying the 3-body problem were convergent, but not generally uniformly.  This added skepticism to the stability proofs of Lagrange and Laplace.  

Poincaré contributed to the understanding of the difficult three-body problem in celestial physics. He demonstrated that series expansions previously used in studying the 3-body problem were convergent, but not generally uniformly.  This added skepticism to the stability proofs of Lagrange and Laplace.