In addition to his academic appointment, he frequently serves as counsel, expert, or arbitrator in various fora, such as in cases before the ICJ;[7]International Centre for the Settlement of Investment Disputes (ICSID) and the Permanent Court of Arbitration; and as ad hoc judge at the International Tribunal for the Law of the Sea. In 2022, Murphy was appointed by the President of the World Bank to chair a Court of Arbitration between Pakistan and India concerning the Indus Waters Treaty. In 2023, he was appointed as an arbitrator for a NAFTA-related dispute brought by the Alberta Petroleum Marketing Commission against the United States concerning the Keystone XL pipeline. In 2024, the U.S. government designated Murphy as one of four U.S. nationals to ICSID's Panel of Arbitrators.
Murphy, Sean D.; Swaine, Edward T. (2023). The Law of U.S. Foreign Relations. New York: Oxford University Press. ISBN978-0-19-936197-7.
Murphy, Sean D.; Buergenthal, Thomas (2019). Public International Law in a Nutshell. St. Paul, MN: West, 6th edition. ISBN978-1-68328-239-6.
Murphy, Sean D. (2018). Principles of International Law. St. Paul, MN: West, 3rd edition. ISBN978-1-68328-677-6.
Murphy, Sean D. (2017). International Law Relating to Islands. Leiden: Brill Nijhoff. ISBN978-90-04-36153-9.
Murphy, Sean D.; Kidane, Won; Snider, Thomas R. (2013). Litigating War: Arbitration of Civil Injury by the Eritrea-Ethiopia Claims Commission. New York, NY: Oxford University Press. ISBN978-0-19-979372-3.
^Professor Murphy Urges World Court to Find Jurisdiction in Case Protecting Ethnic Armenians from Racial Discrimination, https://www.law.gwu.edu/professor-murphy-urges-world-court-find-jurisdiction-case-protecting-ethnic-armenians-racial. Retrieved 2024-08-01