Mujeeb's currently has multiple academic research projects. He has two monographs close to completion, one based on his dissertation examining early Japanese medicine and the other an expansion of his master's thesis on Ibn Sînâ's medicine and his recent work on the subject. In addition, he is preparing his postdoctoral project for publication in monograph form.

While these three projects connect with many other ongoing, smaller projects he has, he has also has two broader interests in this area of intellectual history and the history of science. First, his double comparative project during his postdoc examined medieval cultures, so his study of modernity moves this examination to the late 19th and early 20th centuries to study how Japan and Egypt (the Arab-Islamic world) entertained a new period of intellectual reception, this time from Western Europe. See the page on modern science for one aspect of this. Second, he is interested in exploring the framework of the medieval world. His projects use early cultural periods (Islam, Japan, etc.) but they are set in a definitely "medieval" world. On the border of late antiquity and just before the early modern world, he seeks to complicate the necessary theoretical simplifications and assumptions made when examining world history both vertically (temporally) and horizontally (across cultures). This project will be a multi-monograph exploration that will analyze cultural developments both unique to particular cultures and other broader, shared developments comparatively.

His exploration of the medieval, the medical, and the non-Western has also led to inevitable examination of representation. His interest in this is both modern and premodern. In the modern period, he is interested in how cultures represent particular ideas like medicine, religion, and law. He is also interested in cross-cultural examination, such as how the imagination of particular cultures represents particular "foreign" cultures or ideas, especially in the popular media.

In addition to examinations of the West Asian and East Asian worlds broadly, Mujeeb has begun an examination of law in both modern and premodern contexts. His other interests include various issues such as the practice and use of law and the practice and place of religion as well as the nature of religion, law, and culture in contexts of medicine and science. His research employs Japanese, Arabic, Chinese, and other languages.