The phrase "the author illustrates" is correct and usable in written English.
It can be used to indicate that the author of a piece of writing has used examples or illustrations to explain or prove something. For example: "The author illustrates her point by giving several examples from literature."
The author illustrates each of these with some recent initiatives.
The author illustrates the different features of both models via examples using the Need for Cognition Scale (NCS).
Disentangling the politics, the author illustrates how the ordering principles have evolved, explains recent dynamics in political processes and provides the groundwork needed to better forecast future trends.
From a historical and institutional perspective, the author illustrates and analyzes the dynamic relationship between economic regulation and urban politics on a rapidly growing urban island facing various governance challenges.
By examining the significance of Latin American constitutional evolution, doctrine, and jurisprudence, the author illustrates the Latin American contribution in stimulating the social, political, and economic debate on the right to water, regionally and worldwide.
Even if we were making widgets, splitting teams up into specialties and separating them is counterproductive, as the author illustrates in his comments on collaboration in this field of architecture.
Not only does the author illustrate how the Haitian Revolution shaped the Spanish Caribbean, she also emphasizes themes slavery, freedom, trade that resonate with North American scholarship in important ways.
The striking examples given by the author illustrate the strong need to keep (or even start?) discussing the mode of reviewing within scientific communities.
In a recent project for Accenture, the authors illustrate the principles of how to do it.
In describing their own experiences, the authors illustrate the fate of leftism around the world.
The authors illustrate these lessons in case studies of four kinds of online communities.
