Question: At what school did Nat Dye's brother serve as athletic director from 1981 to 1991?

Context articles: Tippy Dye
Nat Dye
Tennessee Volunteers
Larry Leckonby
Pat Dye
Todd Stansbury
Joel Nielsen
Greg Byrne (athletic director)
Kevin Haslam (American football coach)
Gary Barta

William Henry Harrison "Tippy" Dye (April 1, 1915 – April 11, 2012) was an American college athlete, coach, and athletic director.
 As a basketball head coach, Dye led the University of Washington to its only NCAA Final Four appearance in 1953.
 As an athletic director, Dye helped build the University of Nebraska football dynasty in the 1960s.
Nat Dye (born c. 1937) is a retired Canadian football player who played for the Edmonton Eskimos and Saskatchewan Roughriders.
 He played college football at the University of Georgia.
 He is the brother of Pat Dye.
The Tennessee Volunteers and Lady Volunteers are the 18 male and female varsity intercollegiate athletics programs that represent the University of Tennessee in Knoxville, Tennessee.
 The Volunteers compete in Division I of the National Collegiate Athletic Association (NCAA) as a member of the Southeastern Conference (SEC).
 In September 2011 Dave Hart, formerly the assistant athletic director at the University of Alabama, was introduced as Tennessee's new athletic director.
 Hart became the school's first athletic director in Tennessee history to oversee the women's and men's athletic departments as they merged in June 2012 after which Joan Cronan, the former women's athletics director, became the senior adviser to Hart and Chancellor Jimmy Cheek.
Larry Leckonby is a college sports administrator, currently serving as athletic director at Catawba College.
 He has previously served as an assistant athletic director at the University of Massachusetts Amherst, Boston University, Old Dominion University, and Boston College.
 He served as senior associate athletic director at the University of Houston prior to serving as senior associate athletic director at the University of Maryland, College Park, working as the chief financial officer of that school's athletic department.
 He was athletic director at The Citadel, The Military College of South Carolina from 2008 through 2014.
 Leckonby's tenure at The Citadel ended in the summer of 2014, when he accepted the same position at Catawba.
Patrick Fain Dye (born November 6, 1939) is a former American football player, coach, and college athletics administrator.
 He served as the head football coach at East Carolina University (1974–1979), the University of Wyoming (1980), and Auburn University (1981–1992) compiling a career college football record of 153–62–5.
 He served as the athletic director at Auburn from 1981 to 1991 and was inducted into the College Football Hall of Fame as a coach in 2005.
Todd Stansbury is a Canadian–American university sports administrator and former college athlete.
 Stansbury is currently the athletic director for the Georgia Tech Yellow Jackets sports program at Georgia Tech.
 He previously served as executive associate athletic director at Oregon State, assistant athletic director for academics at Georgia Tech, associate athletic director at the University of Houston, and athletic director at East Tennessee State University, the University of Central Florida, and Georgia Tech.
Joel Nielsen is an American sports administrator originally from Latimer, Iowa.
 Since 2010 he has served as the athletic director for Kent State University in Kent, Ohio.
 Prior to his appointment at Kent State, he served as athletic director at the University of South Dakota from 2003 to 2010 and at Colorado College from 2001 to 2003.
 He also served as associate athletic director at Wake Forest University from 1993 to 2001 and assistant athletic director at Illinois State University from 1992 to 1993.
 From 1990 to 1991 he was athletic development assistant at Northern Illinois University.
 He is an alumnus of Minnesota State University, Mankato, where he played football and baseball and earned both his bachelor's and master's degrees.
Greg Byrne (born November 29, 1971) is the athletic director at the University of Alabama.
 Prior to this appointment, Byrne was the athletic director at the University of Arizona, the athletic director at Mississippi State University from 2008–2010 after serving as associate athletic director for the preceding two years.
 Previously, Byrne held associate director of athletics positions at University of Kentucky, and Oregon State University.
Kevin Haslam is a college sports administrator and former college football coach.
 He is an assistant athletic director at Arizona State University, and used to be athletic director at MacMurray College in Jacksonville, Illinois, the second school in National Collegiate Athletic Association (NCAA) history to have imposed the death penalty on one of its sports programs.
 Haslam took over as the athletic director after the resignation of the athletic director that oversaw the severe penalty.
Gary Barta (born September 4, 1963) is the current athletic director at the University of Iowa.
 He succeeded Bob Bowlsby on August 1, 2006, when Bowlsby stepped down after 15 years as Iowa's athletic director to take the same position at Stanford University.
 Before coming to Iowa, Barta was the athletic director at the University of Wyoming from 2003 to 2006.
 In early 2005, Barta was a finalist for the Athletic Director position at Arizona State University.
 Prior to serving as the athletic director at Wyoming, Barta served as an administrator in the athletic departments at the University of Washington, and Northern Iowa University.