Author Archives: Irving Dai

About Irving Dai

Irving is a third-year graduate student studying topology and geometry at Princeton University. His mathematical interests include gauge theory and related Floer homologies. In his spare time he plays the violin (occasionally, and usually badly). He is fond of cats.

Gauge Theory and Low-Dimensional Topology (Part I: Historical Context)

Hi! This month, I thought I would start a brief series of articles describing the uses of gauge theory in mathematics. Rather than discuss current research directions in gauge theory (of which there are many), I hope to give an … Continue reading

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Riddle of the Month (November)

Welcome back to this month’s mathematical riddle (and can you believe it’s almost December)! Today we have a neat logic puzzle with an amusing twist on the traditional knight-or-knave problems that are popular in the literature.

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Riddle of the Month (September)

Hi, and welcome back from the summer to a new series of mathematical riddles! I’ve decided to include only one riddle per post this semester, which will hopefully mean that I’ll be able to keep a more consistent posting schedule. … Continue reading

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The Man Who Knew Infinity (Mathematical Movie!)

Hi! For this post, I thought I would take a break from posting math riddles and take a brief moment to draw your attention to an exciting new movie premiering in the United States this week – “The Man Who … Continue reading

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Computing π with Billiards (Mathematical Puzzles/Riddles, Part IV)

In honor of this past Monday being Pi day, I thought I would post a special mathematical oddity/riddle related to calculating π. Many of you may be familiar with the famous Buffon’s needle problem, in which π is estimated by … Continue reading

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