Final answer:
Francesco Borromini is the architect of the church referred to in the student's question, known for his work on San Carlo alle Quattro Fontane in Rome.
Step-by-step explanation:
The architect of the church mentioned in the student's question is Francesco Borromini. He is recognized for his significant impact on Baroque architecture, particularly in Rome. One of his noted works is San Carlo alle Quattro Fontane, also known as "Carlino.
This church, built between 1634 and 1646, is an excellent example of Borromini's innovative and dynamic architectural style. In contrast, Gian Lorenzo Bernini, while a master of Baroque art and the creator of the Baldacchino over the main altar in St. Peter's, was not the architect of the church referenced in the initial question. Therefore, based on provided details, the correct answer is Francesco Borromini, notably for San Carlo alle Quattro Fontane.