Conway was a member of the
Alpine Club, of which he was president from 1902 to 1904. In 1892, in the course of an exploring and mountaineering expedition undertaken under the auspices of the
Royal Society, the
Royal Geographical Society and the
British Association, he made an ascent of a subsidiary summit of
Baltoro Kangri (now in
Gilgit-Baltistan,
Pakistan), claiming a
world altitude record with a height of 23,000 ft (7,010 m). However, subsequent measurements have revised his height to 22,322 ft (6,804 m). In 1896–97, accompanied by
J. W. Gregory and others, he explored the interior of
Spitsbergen, the first expedition to cross the mainland of the island. The following year he explored and surveyed the Bolivian Andes, climbing "Sorata" (known today as
Ancohuma, 21,086 ft / 6,427 m) and
Illimani (21,122 ft / 6,438 m). He also attempted
Aconcagua (22,831 ft / 6,959 m), stopping short of the summit by 50 feet; and explored
Tierra del Fuego, attempting
Sarmiento. At the
Paris Exhibition of 1900, he received the gold medal for mountain surveys, and in 1905 won a
Founder's Medal of the
Royal Geographical Society for his Spitsbergen exploration. He served as president of the Alpine Club from 1902 to 1904, and became the first president of The
Alpine Ski Club at its inaugural meeting in 1908, serving until 1911.
Conway Island is named after him. In 1924, Conway evaluated evidence from the
1924 British Mountaineering Expedition and believed
George Mallory and
Andrew Irvine had reached the summit of
Mt. Everest. ==Academic career==