Question: Between Columbia University and the University of Alabama System, which has more institutions?

Context articles: University of Alabama at Birmingham
Columbia University
UAB School of Dentistry
University of Alabama System
List of Columbia University people
List of Columbia University alumni
Joshua Sonett
Carol Garrison
Malcolm Portera
University of Alabama

The University of Alabama at Birmingham (UAB) is a public research university in Birmingham in the U.S. state of Alabama.
 Developed from an academic extension center established in 1936, the institution became an autonomous institution in 1969 and is today one of three institutions in the University of Alabama System and the only R1 research institution in the state.
 In the fall of 2015, 19,656 students from more than 110 countries were enrolled at UAB pursuing studies in 140 programs of study in 12 academic divisions leading to bachelor's, master's, doctoral, and professional degrees in the social and behavioral sciences, the liberal arts, business, education, engineering, and health-related fields such as medicine, dentistry, optometry, nursing, and public health.
Columbia University (Columbia; officially Columbia University in the City of New York), established in 1754, is a private Ivy League research university in Upper Manhattan, New York City, often cited as one of the world's most prestigious universities.
The UAB School of Dentistry is the dental school of the University of Alabama System.
 It is a public dental school located at the University of Alabama at Birmingham in Birmingham, Alabama, United States.
 The dental school was founded in 1948 and is the only dental school in Alabama.
The University of Alabama System is Alabama’s largest higher education enterprise, comprising three doctoral research institutions.
This is a partially sorted list of notable persons who have had ties to Columbia University.
 For further listing of notable Columbians see: Notable alumni at Columbia College of Columbia University; Columbia University School of General Studies; Columbia Law School; Columbia Business School; Columbia University Graduate School of Journalism; Columbia Graduate School of Architecture, Planning and Preservation; Columbia University College of Physicians and Surgeons; Columbia University Graduate School of Education (Teachers College); Fu Foundation School of Engineering and Applied Science; Columbia Graduate School of Arts and Sciences; Columbia University School of Professional Studies; Columbia University School of the Arts; and the School of International and Public Affairs.
 The following lists are incomplete.
This is a sorted list of notable persons who are alumni of Columbia University, New York City.
 For further listing of notable Columbians see: Notable alumni at Columbia College of Columbia University; Columbia University School of General Studies; Barnard College; Columbia Law School; Columbia Business School; Columbia University Graduate School of Journalism; Columbia Graduate School of Architecture, Planning and Preservation; Columbia University College of Physicians and Surgeons; Columbia University Graduate School of Education (Teachers College); Fu Foundation School of Engineering and Applied Science; Columbia Graduate School of Arts and Sciences; Columbia University School of Professional Studies; Columbia University School of the Arts; and the School of International and Public Affairs.
Joshua R. Sonett MD FACS is the Chief of General Thoracic Surgery, Surgical Director of Price Family Center for Comprehensive Chest Care,t, and an Attending Surgeon at NewYork-Presbyterian Hospital/Columbia University Medical Center.
 He is also a Professor of Clinical Surgery at Columbia University College of Physicians and Surgeons.
 He is instrumental in making the Thoracic Surgery program at Columbia University one of the best in the US and is one of the youngest Professors of Surgery at the major academic institutions in the United States.
Carol Z. Garrison was the 6th President of the University of Alabama at Birmingham.
 The Board of Trustees of the University of Alabama System unanimously voted to appoint her to the office on July 23, 2002.
 She stepped down from presidency on August 16, 2012.
Malcolm Portera (born January 31, 1946) is the former Chancellor of The University of Alabama System.
 Prior to that he served as President of Mississippi State University from 1998-2001.
 He has also served as the interim president of the University of Alabama in Huntsville and the University of Alabama at Birmingham.
The University of Alabama (Alabama or UA) is a public research university located in Tuscaloosa, Alabama, United States, and the flagship of the University of Alabama System.
 Founded in 1820, UA is the oldest and largest of the public universities in Alabama.
 UA offers programs of study in 13 academic divisions leading to bachelor's, master's, Education Specialist, and doctoral degrees.
 The only publicly supported law school in the state is at UA.
 Other academic programs unavailable elsewhere in Alabama include doctoral programs in anthropology, communication and information sciences, metallurgical engineering, music, Romance languages, and social work.