Abraham’s casebook, Insurance Law and Regulation, now in its fourth edition, has been used as the principal text in courses on insurance law in more than 100 American law schools. His torts treatise, The Forms and Functions of Tort Law (3d ed. 2007), has become a basic text for first-year law students across the country. Abraham has served as an advisor to the American Law Institute's Restatement of Torts (Third): Products Liability, as a co-author of the Institute's major study, Enterprise Responsibility for Personal Injury, and on many other boards and commissions concerned with tort law and insurance reform. Since 1996 he has been a member of the Council of the American Law Institute, the board of leading lawyers, judges, and law professors that governs the organization.

For over two decades Abraham has served as a consulting counsel and as an expert witness in a variety of major insurance coverage cases, involving directors and officers liability, environmental cleanup liability, toxic tort, products liability, and property insurance claims. He has also served as an arbitrator for the Dalkon Shield Claimants Trust, resolving over 100 claims by women seeking damages for injuries caused by the Dalkon Shield intrauterine device, both in the United States and Europe.

In 2000 Abraham received the all-University of Virginia Outstanding Teacher Award, as well as the American Bar Association's Robert B. McKay Law Professor Award, given for outstanding contributions to tort and insurance law. In 2001 he was honored with a Distinguished Faculty Achievement Certificate from the State Council of Higher Education for Virginia, for "outstanding achievement in teaching, research, and public service.”