Dr. Coselli is the Vice-Chair of the Michael E. DeBakey Department of Surgery, holds the Cullen Foundation Endowed Chair, and is Professor and Chief of the Division of Cardiothoracic Surgery at Baylor College of Medicine (BCM). He serves as Chief of Adult Cardiac Surgery at Texas Heart Institute (THI) and Associate Chief of the Cardiovascular Service at Baylor St. Luke's Medical Center, located in the Texas Medical Center in Houston, Texas. He is Program Director of the Thoracic Surgery Residency at THI/BCM and directs the Aortic Fellowship Program at BCM.

Dr. Coselli specializes in diseases of the aorta, and was mentored by the pioneering aortic surgeon, E. Stanley Crawford, as well as legendary cardiothoracic surgeons, Drs. Denton Cooley and Michael E. DeBakey. He has performed more than 10,000 aortic repairs, including over 3,500 of thoracoabdominal aorta, for which he is world-renowned. He has published more than 525 medical manuscripts and delivered more than 800 presentations in 27 countries. In 2008, along with colleague Scott A. LeMaire, Dr. Coselli was coeditor of the book Aortic Arch Surgery: Principles, Strategies and Outcomes published by Wiley-Blackwell.

Dr. Coselli has served as President for several surgical societies, including the Texas Surgical Society (2008), the Michael E. DeBakey International Surgical Society (2010), the Southern Thoracic Surgical Association (2011), the Denton A. Cooley Cardiovascular Surgical Society (2012), and the American Association for Thoracic Surgery (2015). A member of the Professional Advisory Board of The Marfan Foundation, he is the principal investigator for the Aortic Valve Operative Outcomes in Marfan Patients study.

In 2016, Dr. Coselli received the Baylor College of Medicine Master Clinician Award; this award recognizes faculty for their exemplary qualities of clinical excellence and expertise, consistent high level of patient care, professionalism, commendable leadership skills and continuous service to the community. Additionally, he was the two-time recipient of the Michael E. DeBakey Excellence in Research Award (2001 and 2017) for his research on the surgical treatment of aortic aneurysms, aortic dissection, and Marfan syndrome.

In 2018, Dr. Coselli received the DeBakey Surgery Award from the Michael E. DeBakey International Surgical Society as well as the Ray C. Fish Award for Scientific Achievement from the Texas Heart Institute recognizing his innovative work in aortic aneurysm surgery. Furthermore, he was inducted into Baylor College of Medicine’s Alpha Omega Alpha (AΩA) Medical Honor Society.

Additional awards include the Ashbel Smith Distinguished Alumnus Award (2009) from the University of Texas Medical Branch, the Distinguished Scientist Award (2011) from St. Luke’s Episcopal Hospital, the inaugural Harold Urschel History Lectureship Award (2013) from the Southern Thoracic Surgical Association, the inaugural Francis Robicsek Award (2014) from the Carolinas Medical Center, the inaugural O. Wayne Isom Lectureship Award (2016) from Weill Cornell Medical College, and the Distinguished Houston Surgeon Award (2016) from the Houston Surgical Society.