Cognomen Ásgeirsson (Ásgeirsson 
) , across the world, is a rare family name. The last name Ásgeirsson is characteristic of Northern Europe, particularly Iceland, where it is quite a common surname, Sweden, where it is a rare surname, and Denmark.
| VARIANT | COUNTRY |
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| Ásgeirsson | Denmark, Norway, Sweden, Iceland, United States |
| þorlákur ásgeirsson IS (b. 940) |
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ásgeir ásgeirsson Icelandic politician, 2nd President of Iceland (1894-1972) Governer of Surtsey (1963-1968), IS (b. 1894) |
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| bjarni ásgeirsson Icelandic politician, IS (b. 1891) |
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| magnús ásgeirsson Icelandic author, IS (b. 1901) |
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benedikt ásgeirsson Icelandic diplomat, IS (b. 1951) |
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| leifur ásgeirsson Icelandic mathematician (1903-1990), IS (b. 1903) |
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| ásmundur ásgeirsson Icelandic chess player (1906-1986), IS (b. 1906) |
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| jónas þórarinn ásgeirsson Icelandic ski jumper and nordic combined skier (1920-1996), IS (b. 1920) |
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| jón ásgeirsson Icelandic composer, IS (b. 1928) |
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| þorvaldur ásgeirsson badminton player, IS (b. 1930) |
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| bragi ásgeirsson Icelandic artist (1931-2016), IS (b. 1931) |
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| einar þorsteinn ásgeirsson Icelandic architect, IS (b. 1942) |
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| ágúst ásgeirsson Icelandic athletics competitor, IS (b. 1952) |
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| halldór ásgeirsson (b. 1956) |
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| ásgeir ásgeirsson Icelandic footballer, IS (b. 1972) |
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Aron, Böðvar, Björn, Bjarni, Bjarki, Pétur, Ragnar, Rúnar, Gunnar, Guðni, Jónas, Jóhann, Haukur, Hilmar, Hinrik, Viktor, Viggó, Viðar, Fannar, Frímann, Ingþór, Ólafur, Birgir, Borgþór, Arnór, Sveinn, Axel, Jón, Sæþór, Anton, Bragi, Páll, Lárus, Jakob, Elvar, Einar, Stefán, Egill, Helgi, Hlynur, Árni, Óskar, Ómar, Magnús, Mikael, Sturla, Sölvi, Sæmundur, Eyþór, and Baldvin