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Do any of you guys dream about your math work in your head? OR just math in general?

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Once I dreamed I got punched so hard I became a finite topological space.
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Absolutely. Unfortunately though every time I had this groundbreaking idea in my dream, waking up I realized it was utter horseshit.
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Whenever I have math dreams, I’m always doing made up math that makes no sense. I think sometimes my brain goes into math mode when I’m sleeping, but doesn’t have the tools to do actual math, so I end up applying mathematical thinking to basically gibberish.
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I had a stressful math dream in my last year of undergrad. The gist of it was that my salary would be complex. The implication was that any ‘imaginary’ work I performed would multiply against the imaginary portion of the wage to be a negative dollar amount! Real work only please!
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Once I was really stressed about my final Real Analysis exam. I'm not sure how it happened but there was a period for several days where I'd basically do nothing all day but reading Real Analysis lecture notes.  

On the night before I ended up stressing really hard and when I went to sleep I had a dream I was on a stage kind of like a talent show but they "judges" were asking me real analysis proofs and the audience would boo you if you couldn't do the proof. Woke up the next day basically being able to recite every proof without fail and my real analysis grade was quite high because of that.
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I recently had a dream about someone asking me a question in complex analysis (which I'm yet to learn) and I kept asking "ok but what does this symbol mean and what is the definition of that" and eventually they gave up and went to ask someone else
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I haven't but it would be pretty cool to lucid dream math problems and try to figure them out while you're sleeping.
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I find I can’t read a math book/paper right before bedtime. I’ll have horrible sleep as my brain tries to continue working on it while I sleep.
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No but I had food poisoning last night, and while I was trying to sleep it off my delirious head thought I was being punished for not being able to graph the Lorenz Attractor in Julia.
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For sure, quite frequently in fact. They generally revolve around me attempting hard calculus problems and proof writing only for me to mess them up because of really small mistakes. Occasionally, I dream about fractal(Mandelbrot/Menger) zoom videos I watch on Youtube which feels really trippy but enjoyable

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