Luke has litigated, arbitrated, and settled numerous types of insurance, captive insurance, and reinsurance disputes:

• London, Bermuda and domestic arbitrations, including disputes based on the "Bermuda Form";
• Environmental pollution and contamination claims arising from historic industrial contamination, oil and chemical spills and leaks, pipeline ruptures, fires, explosions, and railroad derailments;
• False Claims Act litigation and other governmental investigations and "whistleblower" claims;
• Employment and work-place liabilities;
• Product liability litigation and product recalls;
• Liabilities faced by hospitals, pharmaceutical companies, and healthcare organizations;
• Claims against churches and religious or civic organizations;
• Civil rights cases and other municipal and governmental liabilities;
• Claims against private companies providing services for local governments, including probation, prison medical or educational services;
• Claims against directors and officers, including securities litigation and disputes regarding trigger of coverage under multiple policy periods;
• Fidelity and commercial crime losses, including forgery, theft and disappearance claims;
• Claims arising from complex financial instruments and real estate transactions;
• Claims of debtors and trustees in bankruptcy proceedings;
• First-party property losses and business interruption claims, such as those arising from fires, explosions, landslides, floods, storms, contamination; and the COVID-19 pandemic; and
• Claims involving additional insureds, insured contracts, loss payees, certificates of insurance, and contractual indemnity agreements.

Luke has won significant insurance matters through litigation and arbitration, but frequently resolves his clients' problems without need for these mechanisms. Luke has argued before the Pennsylvania Commonwealth Court and various state and federal trial courts. In 2012, Luke played a lead role in a $100+ million international arbitration involving property damage and business interruption loss resulting from an export grain elevator explosion covered by property insurance and captive reinsurance. In 2016, Luke helped lead a team of attorneys through a London Arbitration involving coverage for the costs of a massive inland oil release and interpretation of a "Time Element" Pollution Endorsement. In 2024, Luke worked with an international team to resolve coverage litigation between a manufacturer and its directors and officers insurance companies relating to the costs of defending and resolving securities litigation. Luke has helped policyholders and their captives to recover hundreds of millions of dollars from their insurance and reinsurance companies.

Luke frequently counsels policyholders and captives concerning their insurance programs and policy wording, risk management for corporate transactions, claims analysis, and strategies for maximizing loss recoveries.

Luke is a co-founder and board member of LEADRS (Looking For Excellence and Advancement of Disabled individuals at Reed Smith), a business inclusion group supporting attorneys and employees with disabilities and mental and physical health conditions of all types.

In his pro bono capacity, Luke frequently writes amicus curiae briefs on behalf of United Policyholders to provide the perspective of policyholders regarding contested insurance coverage disputes in state and federal appellate courts across the country. Luke has represented dozens of transgender clients pro bono in name change proceedings, taught courses for the Name Change Project, and led a team that successfully challenged certain restrictions on his clients' rights to change their names under the Pennsylvania Constitution.