From 1997-89, Prof Allotey was the King-Chavez-Park's Visiting Professor of Physics at Michigan State University in the USA.

For Africa, he founded the African Institute of Mathematical Science (AIMS), which he was its President and was also a member of the Executive Secretariat Responsible for Sensitising African Leaders on Modern Technology for development.

Prof Allotey, who was a founding fellow of the African Academy of Sciences, in 1974, became the first Ghanaian full professor of Mathematics and Head of the Department of Mathematics at the Kwame Nkrumah University of Science and Technology.

He was also the President of the Ghana Academy of Arts and Sciences and a member of a number of international scientific organisations including the International Institute of Theoretical and Applied Physics (ICTP) Scientific Council.

He was the Chairman of Board of Trustees of the Accra Institute of Technology (AIT), and a former Board Chairman of both the Ghana Atomic Energy Commission and the Council for Scientific and Industrial Research and also did a lot of work for the United Nations Education and Scientific Commission and many international bodies.
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