Grothendieck spent the years 1953-55 at the University of Sao Paulo and then he spent the following year at the University of Kansas. However it was during this period that his research interests changed and they moved towards topology and geometry.
Grothendieck na ginugol ang taon 1953-55 at ang University of Sao Paulo at pagkatapos ay siya na ginugol ng mga sumusunod na taon sa University of Kansas. Gayunpaman, ito ay panahon na ito na ang kanyang interes sa pananaliksik ay nagbago at inilipat sila sa topology at geometry.