Question: English architect and polymath Robert Hooke was the first to build the Gregorian telescope invented by which Scottish mathematician?

Context paragraphs:
Hooke (Martian crater): Hooke Crater is an impact crater in the Argyre quadrangle on Mars at 45.2°S and 44.4°W and is 139.0 km in diameter.  Its name was approved in 1973, and it was named after Robert Hooke.  Some of the dunes have gullies on them.  While these gullies may be a bit different then ones found on crater walls and other steep slopes, they have been thought by some to be caused by flowing water.

Gregorian telescope: The Gregorian telescope is a type of reflecting telescope designed by Scottish mathematician and astronomer James Gregory in the 17th century, and first built in 1673 by Robert Hooke.  James Gregory was a contemporary of Isaac Newton, both often worked simultaneously on similar projects.  Gregory's design was published in 1663 and pre-dates the first practical reflecting telescope, the Newtonian telescope, built by Sir Isaac Newton in 1668.  However, Gregory's design was only a theoretical description and he never actually constructed the telescope.  It was not successfully built until five years after Newton's first reflecting telescope.

Buntingford almshouses: Buntingford Almshouses is a grade II* listed building on the High street of the Hertfordshire town of Buntingford.  The building was erected in 1684 by the mathematician and astronomer Bishop Seth Ward who was born in the town.  The architect was probably the celebrated scientist and architect, Robert Hooke.

Robert Hooke: Robert Hooke FRS ( ; 28 July [O.S. 18 July] 1635  – 3 March 1703) was an English natural philosopher, architect and polymath.

Vatican Advanced Technology Telescope: The 1.8 meter Alice P. Lennon Telescope and its Thomas J. Bannan Astrophysics Facility, known together as the Vatican Advanced Technology Telescope (VATT), is a Gregorian telescope observing in the optical and infrared situated on Mount Graham in southeast Arizona, United States.  It achieved "first light", the first starlight to pass through the telescope onto a detector, in 1993.

Hooke Point: Hooke Point ( ) is a point near the head of Lallemand Fjord, in Graham Land, Antarctica.  It was mapped by the Falkland Islands Dependencies Survey from surveys and air photos, 1946–59, and was named by the UK Antarctic Place-Names Committee for Robert Hooke, an English experimental physicist and author of "Micrographia", which contains one of the earliest known descriptions of ice crystals.

James Gregory (mathematician): James Gregory FRS (November 1638 – October 1675) was a Scottish mathematician and astronomer.  His surname is sometimes spelt as Gregorie, the original Scottish spelling.  He described an early practical design for the reflecting telescope – the Gregorian telescope – and made advances in trigonometry, discovering infinite series representations for several trigonometric functions.

Hooke's law: Hooke's law is a principle of physics that states that the force (F ) needed to extend or compress a spring by some distance X scales linearly with respect to that distance.  That is: , where k is a constant factor characteristic of the spring: its stiffness, and X is small compared to the total possible deformation of the spring.  The law is named after 17th-century British physicist Robert Hooke.  He first stated the law in 1676 as a Latin anagram.  He published the solution of his anagram in 1678 as: "ut tensio, sic vis" ("as the extension, so the force" or "the extension is proportional to the force").  Hooke states in the 1678 work that he was aware of the law already in 1660.

Unconscious inference: Unconscious inference (German: unbewusster Schluss), also referred to as unconscious conclusion, is a term of perceptual psychology coined in 1867 by the German physicist and polymath Hermann von Helmholtz to describe an involuntary, pre-rational and reflex-like mechanism which is part of the formation of visual impressions.  While precursory notions have been identified in the writings of Thomas Hobbes, Robert Hooke, and Francis North (especially in connection with auditory perception) as well as in Francis Bacon's "Novum Organum", Helmholtz's theory was long ignored or even dismissed by philosophy and psychology.  It has since received new attention from modern research, and the work of recent scholars has approached Helmholtz's view.

Newtonian telescope: The Newtonian telescope is a type of reflecting telescope invented by the British scientist Sir Isaac Newton (1642–1727), using a concave primary mirror and a flat diagonal secondary mirror.  Newton’s first reflecting telescope was completed in 1668 and is the earliest known functional reflecting telescope.  The Newtonian telescope's simple design makes it very popular with amateur telescope makers.

Supporting paragraphs: Gregorian telescope Robert Hooke
Answer: James Gregory