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Einstein was best known for devising his Theory of Relativity. (TV: Four to Doomsday) The Doctor called the theory "absurd", and said he'd "tr[ied] to explain the realities to poor old Albert, but he would insist that he knew best." (TV: The Stones of Blood)
Einstein worked with other scientists at the Kaiser Wilhelm Institute in Berlin, Germany. However, by January 1933, he had left Germany and travelled to the United States of America in response to the rise of Adolf Hitler and the Nazis. (AUDIO: The Alchemists)
In the 1940s, the Rani kidnapped Einstein and brought him to Lakertya so that his genius could be used to help create her time brain. Afterwards, the Seventh Doctor boarded him on his TARDIS in order to bring him back to his right time; the curiosity of the scientist was aroused by the console room. (TV: Time and the Rani)
Other encounters between Einstein and the Eleventh Doctor included Einstein trying to steal the Doctor's TARDIS and having his toothbrush taken by the Doctor and "exterminated" by the Daleks. Einstein also left his bicarbonated processing machine somewhere in the TARDIS.
While working on a malfunctioning time machine of his own in 1945, Einstein was accidentally brought onboard the TARDIS in an accident involving the TARDIS console and the Doctor's new fez (which Einstein had been the original owner of) along with his fez and a flask of experimental liquid which he hoped was bionic fusion liquid. Einstein was momentarily transformed into an Ood by his liquid, before being changed back and returned home by the Doctor; the mishap had resulted in Einstein's hair standing on end, a look which the Doctor recommended he keep as "more sciencey". (TV: Death Is the Only Answer)
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Some compared the child prodigy, Nathan Goss, to Einstein, while others believed his potential exceeded Einstein. (TV: The Lost Boy) Luke Smith could spot flaws in Einstein's theory of relativity. (PROSE: The Lost Boy)
When Mr Smith was about to self-destruct, Clyde Langer asked Luke Smith what would Einstein do. Rani Chandra reminded Clyde that Einstein "didn't have an alien computer in his room that turns into a bomb". (TV: Prisoner of the Judoon)
The Eleventh Doctor used Einstein as an example of great people who had dyslexia in order to encourage Elliot Northover to continue trying. (TV: The Hungry Earth) He mentioned Einstein as one of humanity's finest minds who had been drawn to Prague. (COMIC: The Broken Man) He once defined himself "a time traveler with an IQ as big as Einstein's quantum pants". (COMIC: The One)
After the Monks had taken over Earth they began altering people's memories so that it looked as if they had always been there. Amongst altered history was Einstein's conclusion of E=MC² to make it look like the Monks helped him. (TV: The Lie of the Land)