The University of Alpha Centauri is an institute of higher learning, located in the city of New Samarkand on Alpha Centauri III. (TNG novel: The Buried Age)
Prior to 2267, a physician at the university suffered an overdose of cordrazine in unknown circumstances. Colleagues found her unconscious and took her for treatment at a local hospital. She disappeared a few days later, and five months later her body was discovered in a public lodge located in the city of Eglantine on Stygian III. (TOS - Crucible novel: The Fire and the Rose)
The University of Alpha Centauri had one of the finest archaeology programs in the Federation. In 2355, soon after the loss of the USS Stargazer, Jean-Luc Picard enrolled as a Ph.D. student, and three years into this program, was also teaching an introductory class there. (TNG novel: The Buried Age)
The Scientific Advisory Board of the University of Alpha Centauri is responsible for the awarding of the Zee-Magnees Prizes. (TOS novel: Provenance of Shadows)
In May, 2384, the university was hosting a conference on interdimendional physics. DTI agents Teresa Garcia and Meyo Ranjea were to attend the conference before being called away on an emergency to the Eridian Vault. (DTI eBook: The Collectors)