The author, Brian Douglas, shares his experience with common errors he encounters while writing React code. He provides three examples: Returning Invalid React Component, Error in Promise, and Can't Render Object. In each case, he explains the error message, the problem with the code, and the solution to fix it. The first example involves exporting a component correctly, the second involves accessing the correct data from an API response, and the third involves extracting specific attributes from the object instead of rendering the entire object. By understanding these common errors and their solutions, developers can improve their coding skills and write more efficient React code.