Question: Who introduced Gothic cathedrals such as St. Patrick's?
About the article "Republic of Ireland", section "Architecture".

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Cathedrals of the Roman Catholic Church in Barbados: St. Patrick's Cathedral, Bridgetown  
Regional examples.
A number of Australia’s cathedrals have Gothic Revival rose windows including three by William Wardell at St Mary's Cathedral, Sydney and another at St Patrick's Cathedral, Melbourne which form the upper part of a very large seven-light window in the west end. 
The 18th and 19th centuries were a time of expansion and colonisation by Western Europeans.
It was also a time of much Christian revival and in England, a considerable growth in the Roman Catholic Church.
There was also much industrialisation and the growth of towns.
New churches and cathedrals were needed.
The Medieval styles, and particularly Gothic, were seen as the most suitable for the building of new cathedrals, both in Europe and in the colonies.
Cathedrals in the Gothic Revival style include Liverpool Anglican Cathedral in England, the New Cathedral, Linz in Austria, the Cathedral of Saint John the Divine in New York and St Patrick's Cathedral, Melbourne in Australia.
Not all of the cathedrals that are in a revivalist style are Gothic.
Westminster Cathedral, the seat of the Roman Catholic Archbishop of Westminster, is an eclectic design of predominantly Byzantine style with polychrome walls, domes and a very tall Italian-style campanile.
Mary, Queen of the World Cathedral in Canada is a Renaissance revival building based on St Peter's, Rome. 
  Canterbury Cathedral - [http://www.canterbury-cathedral.org/]  Notre Dame de Paris - [http://www.cathedraledeparis.com/]  Westminster Abbey - [http://www.westminster-abbey.org/]  Chartres Cathedral - [http://www.chartres-csm.org/us.html]  Lincoln Cathedral - [http://www.lincolncathedral.com/]  St. Patrick's Cathedral, Dublin - [http://www.stpatrickscathedral.ie/]  
 Gothic Revival Victorian Period c. 1840 - c. 1890.1840–1880The British Empire, of which Australia was an integral part, was heavily influenced by the Anglican religion.
In turn this was influenced by the 19th century teachings of the Oxford and Cambridge Movements which believed Gothic architecture to be the purest, truest form.
According to these English movements, this was the only way to achieve spiritual communication with God through architecture.
Thus, while a local magnate may have built his home in a classical style, he would fund a church in the Gothic style.
Thus, during the 19th century, when Australia was expanding rapidly, two forms of architecture were very evident: Gothic and the Classical styles.
Originally Gothic was for God, and the Classical for the man.
Later a new "self-made" Australian began to emerge, unhindered by a classical British education dictating classical gentlemanly interests.
This "new" self-made man (like his contemporaries in Britain) would often choose Gothic as the design for his home.
The great cathedrals of the Middle Ages during the Gothic Period of ecclesiastical architecture formed the inspiration for this particular architectural style; not only in residential buildings, but in many commercial structures, churches and cathedrals built during this time.
St. Paul's and St. Patrick's Cathedrals in Melbourne are excellent examples of the Gothic Revival Period, often referred to as Victorian Gothic.
Characteristics were: steeply pitched roofs often made of slate, narrow doors and windows resolving in a Gothic pointed arch at their height (known as lancet windows), diamond pane glazing to windows imitating a stained glass affect, and intricate parapets, often of a religious nature, with a cross.
In non-terrace houses, the drawing room was often pulled forward, adding a bay window to the front of the dwelling.
Early, Mid and Late Victorian 1845–1900The Victorian style in Australia can be divided into 3 periods: Early, Mid and Late.
The period in its entirety stretches from 1837 to 1901 and was named after the then Queen, Queen Victoria.
Early styles featured symmetrical layouts and façades, a centrally located front door and a hipped roof of corrugated iron, leading to a veranda on the façade.
During the 1850s cast-iron lacework came to Australia, where it made its way on to Mid and Late Victorian Homes with much the same floor plan as the Colonial Style, a central hallway with a standard 4 rooms.
Weatherboards were often used, although larger homes used red brick and blue stone.
In the Mid Victorian Style, decoration began to gain popularity.
The bullnosed veranda roof was introduced, sidelights were added either side of the front door, and terraced houses were springing up everywhere, containing parapets and detailed dividing walls between the property boundaries.
Late Victorian Style homes had perhaps the most decorative features in all of the known architectural styles to date, which is often referred to as Boom Style.
Towards the end of the Victorian era, timber fretwork was being used more and more, which led into the Edwardian/Federation Styles.
From the 1840s, a specific style of building emerged in Queensland.
The Queenslander style of houses are identifiable by large verandahs and large double doors which open onto these verandahs, stilts rising the house above ground level (particularly in older houses), metal roofs typically of corrugated design and the houses are always constructed of mostly wood.
The styles during this period were: Georgian, Regency, Egyptian, Academic Classical, Free Classical, Filligree, Mannerist, Second Empire, Italianate, Romanesque, Academic Gothic, Free Gothic, Tudor, Rustic Gothic and Carpenter Gothic.
Of these fifteen styles, the following seven were normally used for residential architecture: