Dr. Blume has a consultative rheumatologic practice with a special interest in inflammatory rheumatic diseases, including Systemic Lupus Erythematosus (Lupus), Rheumatoid Arthritis and Vasculitis. Throughout his career, Dr. Blume has received numerous professional accolades, including being recognized as a "Top Doctor" by Castle/Connolly and New Yorkmagazine, among others.

In addition to his clinical practice, Dr. Blume is a Professor of Clinical Medicine at Columbia University where he has an integral role Rheumatology Fellowship Training Program. Dr. Blume is the Director of the Harkness Report, a long-standing Columbia tradition for junior and senior residents on outpatient rotations to present cases to a two-attending panel. Dr. Blume's reputation and dedication as a senior educator in the Department has led this conference to be coined as "Blume Rounds".