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This test consists of 5 short answer questions, 10 short essay questions, and 1 (of 3) essay topics.

Short Answer Questions

1. What time did Schrodinger rise during the Great War according to complaints from his staff?

2. Where did de Broglie serve as a telegraph operator during World War I?

3. What university did Heisenberg return to after a time on an island in 1925?

4. What did Heisenberg do at dawn every morning on the island he visited in 1925?

5. In what century did the Perisan poet Hafez write?

Short Essay Questions

1. What was known about Grothendieck's father?

2. When did Mochizuki become well known?

3. How sick did Heisenberg get while he was at Heligoland?

4. What happened after Grothendieck resigned from the Institute of Advanced Scientific Studies in 1970?

5. How did Labutut summarize Einstein's opposition to quantum mechanics?

6. When and how did Shinichi Mochizuki publish a proof for a + b = c?

7. What was Grothendieck's lifelong obsession, and what was one of his greatest discoveries?

8. Who was one of the first people aware of the existence of Mochizuki's proof, and what was learned when he sent the proof to Ivan Fesenko?

9. Why did Grothendieck's professor Laurent Schwartz give him an article he published, and what did Grothendieck do with the article?

10. Why did Heisenberg go to Heligoland in June 1925?

Essay Topics

Write an essay for ONE of the following topics:

Essay Topic 1

Schrodinger used metaphors to describe subatomic particles. How did he use metaphors to describe subatomic particles? Why did Werner Heisenberg hate using metaphors for subatomic particles and what did he believe should be used instead?

Essay Topic 2

Mochizuki and Grothendieck’s research had to do with pure mathematics. What is the difference between pure and applied mathematics? Why are they both important?

Essay Topic 3

Grothendieck and Mochizuki were mathematicians. What did the men have in common? Why were both men considered geniuses?

(see the answer keys)

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