Question: Who began the colonization of the area that Jesuit missionary Claude Aveneau resided?

Context paragraphs:
Bartol Sfondrati: Bartol Sfondrati (1541—1583) was 16th century Jesuit missionary who is considered as the first Ragusan Jesuit.  Sfondrati became a jesuit in 1569 after graduating law at the University of Pavia.

Pablo Clain: Paul Klein (25 January 1652, in Cheb, Bohemia, now the Czech Republic – 30 August 1717, in Manila, Philippines; often used in Spanish: Pablo Clain, Latin: "Paulus Klein", Czech: "Pavel Klein"), was a Jesuit missionary, pharmacist, botanist, author of an astronomic observation, writer, rector of Colegio de Cavite as well as the rector of Colegio de San José and later Jesuit Provincial Superior in the Philippines, the highest ranking Jesuit official in the country.  Klein is known as an important personality of life during the 18th-century Manila.

New France: New France (French: "Nouvelle-France" ) was the area colonized by France in North America during a period beginning with the exploration of the Gulf of Saint Lawrence by Jacques Cartier in 1534 and ending with the cession of New France to Great Britain and Spain in 1763.

Étienne de Carheil: Étienne de Carheil (20 November 1633 – 27 July 1726) was a French Jesuit priest who became a missionary to the Iroquois and Huron Indians in the New World.  He served as the chief Jesuit missionary to the Native Americans of the Straits of Mackinac area from 1686 until about 1702.  In this duty, he clashed often with the secular leader of Fort de Buade, the French commandant Antoine de la Mothe Cadillac.

Ignacio Molarja: Ignacio Molarja, or known in the Jesuit dictionaries as Ignacio Molarsa (Caller, Cerdeña, Italy, 1610 – Tecoripa, Sonora, Mexico, 24 November 1658) was an explorer and Jesuit missionary pertaining to the "Society of Jesus of the Province of Nueva España."  The surname of the Italian Jesuit varies according to the diversity of the biographical writings on him, varying between "Molar Ja", "Molarja", "Molargia", "Molarsa", and "Molarza".  He has also been onfused by contemporary dictionaries with Jerónimo de la Canal, who was one of his mcoworkers at the mission Ignacio Molarja ibeganhis Catholic studies in 1635, and arrived in northwest New Spain in 1644.  As an explorer, missionary and evangelizer, he founded several missions in what is today is the state of Sonora, Mexico.  He died due to health problems in 1658 in Tecoripa, La Colorada Municipality, Sonora.

Claude Aveneau: Claude Aveneau (December 25, 1650 in Laval, France – September 14, 1711 in Quebec) was a Jesuit missionary in New France.

Ferdinand Poulton: Ferdinand Poulton, S.J, (c. 1601—June 5, 1641) was a Jesuit missionary in the newly founded Jesuit Mission of Maryland.  He was born to a noble family in either 1601 or 1603 in Buckinghamshire, England, and was educated at the College of St. Omer in Artois, France.  He entered the English College of Rome in 1619 for his higher education and joined the Society of Jesus in 1622.  He was back at St. Omer's in 1633 and at Watten, Nord, in 1636.  He completed his initiation into the Jesuit order on December 8, 1635.  To help hide his identity from anti-Catholic authorities Poulton, like other Jesuits, used aliases including Father John Brooks (or Brock) and John Morgan, an alias that his uncle, who was also named Ferdinand Poulton, had previously used.

José de Anchieta: José de Anchieta y Díaz de Clavijo, S.J. (19 March 1534 – 9 June 1597) was a Spanish Jesuit missionary to the Portuguese colony of Brazil in the second half of the 16th century.  A highly influential figure in Brazil's history in the first century after its European discovery, Anchieta was one of the founders of São Paulo in 1554 and of Rio de Janeiro in 1565.  He is the first playwright, the first grammarian and the first poet born in the Canary Islands, and the father of Brazilian literature.  Anchieta was also involved in the religious instruction and conversion to the Catholic faith of the Indian population.  His efforts along with those of another Jesuit missionary, Manuel da Nóbrega, at Indian pacification were crucial to the establishment of stable colonial settlements in the colony.

Le Moyne College: Le Moyne College, named after Jesuit missionary Simon Le Moyne, is a private Jesuit college in Syracuse, New York, enrolling over 3,500 undergraduate and graduate students.  Founded by the Society of Jesus in 1946, Le Moyne is the first Jesuit college to be founded as a co-educational institution.  The College is the second-youngest of the twenty-eight Jesuit colleges and universities in the United States, and is the only comprehensive Catholic college in Central New York.

Sainte Anne Church (Mackinac Island): Sainte Anne Church, commonly called 'Ste. Anne Church' or 'Ste. Anne's Church', is a Roman Catholic church that serves the parish of Sainte Anne de Michilimackinac in Mackinac Island, Michigan.  The Jesuit missionary Claude Dablon inaugurated the rites of the Catholic faith on Mackinac Island in 1670, but the earliest surviving parish records list sacraments performed starting in April 1695.  After moving from Fort de Buade to Fort Michilimackinac about 1708 and from Fort Michilimackinac to Mackinac Island in 1781, the parish used a historic log church for decades.  It constructed the current church complex starting in 1874 on a site donated by the former fur trader, Magdelaine Laframboise.

Supporting paragraphs: Claude Aveneau New France
Answer: Jacques Cartier