The Royal Society of London, founded in 1660, is widely recognized as the oldest mathematical society in the world.

The London Mathematical Society was founded with the goal of promoting the study of pure mathematics, fostering collaboration among mathematicians, and disseminating mathematical knowledge.

The German Mathematical Society, founded in 1890, was instrumental in the development of modern abstract algebra through the work of mathematicians such as Emmy Noether and David Hilbert.

The Mathematical Association of America was founded with the primary goal of improving the teaching of mathematics at all levels, from elementary school to college.

The International Mathematical Union (IMU) was established in 1920 to foster international collaboration among mathematicians, organize international mathematical congresses, and promote the development of mathematics worldwide.

The National Association of Mathematicians (NAM) was founded in 1939 to address the discrimination faced by African American mathematicians and to promote their professional development.

The International Mathematical Union (IMU) is responsible for organizing the Fields Medal, which is awarded every four years at the International Congress of Mathematicians to recognize outstanding mathematical achievements.

The Association for Women in Mathematics (AWM) was founded with the primary goal of promoting the participation of women in mathematics, advocating for equal opportunities, and providing a supportive network for women mathematicians.

The Society for Industrial and Applied Mathematics (SIAM) was founded in 1983 to promote the application of mathematics to industry and business, foster collaboration between mathematicians and practitioners, and disseminate knowledge in applied mathematics.

The African Mathematical Union (AMU) was established in 1976 with the primary goal of promoting mathematical research and education in Africa, fostering collaboration among African mathematicians, and advocating for the interests of the African mathematical community.

The Norwegian Academy of Science and Letters is responsible for organizing the Abel Prize, which is awarded annually to outstanding mathematicians for their contributions to the field.

The European Mathematical Society (EMS) was established in 1990 with the primary goal of promoting mathematical research and education in Europe, fostering collaboration among European mathematicians, and advocating for the interests of the European mathematical community.

The Society for Mathematical Biology (SMB) was founded in 1995 to promote the application of mathematics to the life sciences, foster collaboration between mathematicians and biologists, and disseminate knowledge in mathematical biology.

The Asia-Pacific Mathematics Olympiad (APMO) was established in 1989 with the primary goal of promoting mathematical talent and encouraging international cooperation among students in the Asia-Pacific region.

The Society for Industrial and Financial Mathematics (SIAM) was founded in 2002 to promote the use of mathematics in industry and finance, foster collaboration between mathematicians and practitioners, and disseminate knowledge in applied mathematics.