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The Alexander Von Humboldt Foundation of Germany bestows the Sofia Kovalevskaya Award every two years.
He was a recipient of the Alexander von Humboldt Foundation Senior U.S. Scientist Award, and had an asteroid named for him, 3906 Chao.
Peter Schwerdtfeger currently holds a chair in Theoretical Chemistry at Massey University in Auckland, New Zealand, serves as Director of the Center of Theoretical Chemistry and Physics, member of the Institute for Advanced Study, and the President of the New Zealand Alexander von Humboldt Foundation.
He subsequently studied for a doctorate in philosophy at Oxford and the University of Tübingen in Germany, where he was a Research Fellow of the Humboldt Foundation.