In particular, who was the Pharaoh on the throne during the actual exodus?
I would be interested if anyone has any knowledge of how Egyptian historians correlate information they have from artifacts, drawings, writings from that period to what we know from Torah sources.
Here is a list of Egyptian Kings I found. I have highlighted two kings - between which the exodus happened. It is possible that the actual Pharaoh who was sent the Macos/let the Yidden go etc, is not on this list - the Egyptians would not record in their lists of Kings any that did not conform...and 'our' Pharaoh must have been an embarrassment to them. something to note is the very short lifespan of the kings (so during the 210 years the Yidden were in Mitzroyim there could possibly have been many Pharos. Note the King Haremham (also highlighted) who had a fairly long reign and was the last of the 18th Dynasty (could he have been 'our' Pharoh)?
Year 2448 was yezius mitzrayim 1312 B.C. So yidden were in mitzroyim from 1522 B.C (210 years before).
Dynasty 17 Tao I ca. 1560 B.C. Tao II ca. 1560 B.C. Kamose ca. 1552–1550 B.C.
Dynasty 18 Ahmose ca. 1550–1525 B.C. Amenhotep I ca. 1525–1504 B.C. Thutmose I ca. 1504–1492 B.C. Thutmose II ca. 1492–1479 B.C. Thutmose III ca. 1479–1425 B.C. Hatshepsut (as regent) ca. 1479–1473 B.C. Hatshepsut ca. 1473–1458 B.C. Amenhotep II ca. 1427–1400 B.C. Thutmose IV ca. 1400–1390 B.C. Amenhotep III ca. 1390–1352 B.C. Amenhotep IV ca. 1353–1349 B.C. Akhenaten ca. 1349–1336 B.C. Neferneferuaton ca. 1338–1336 B.C. Smenkhkare ca. 1336 B.C. Tutankhamun ca. 1336–1327 B.C. Aya ca. 1327–1323 B.C. Haremhab ca. 1323–1295 B.C.
Dynasty 19 ca Ramesses I ca. 1295–1294 B.C. Seti I ca. 1294–1279 B.C. Ramesses II ca. 1279–1213 B.C. Merneptah ca. 1213–1203 B.C. Amenmesse ca. 1203–1200 B.C. Seti II ca. 1200–1194 B.C. Siptah ca. 1194–1188 B.C. Tawosret ca. 1188–1186 B.C.