Dr. Eskew attended the University of Texas Medical School in San Antonio, and completed his first years of residency in general surgery at Methodist Central Hospital in Dallas. He continued his residency in otolaryngology at the University of Texas Medical Branch in Galveston.
Dr. Eskew is certified by the American Board of Otolaryngology/Head and Neck Surgery. He is a member of the following societies: American College of Surgeons (Fellow), American Academy of Otolaryngology/Head and Neck Surgery (Fellow), Austin Otolaryngology Society, Travis County Medical Society, Texas Medical Association, and the American Medical Association.
Dr. Eskew has held many positions, including Chief of Surgery, Chief of Staff and vice chairman of the Board of Trustees at South Austin Hospital, and is a past member of the Executive Board of the Travis County Medical Society. He is a preceptor in otolaryngology for the Central Texas Medical Foundation. He was President of the Travis County Medical Society for 2003.