Mathematical Conversations

A Radically Condensed History of Transcendental Number Theory

It is well-known that the constant e is transcendental, but many proofs of this fact seem opaque with some polynomial appearing to be pulled out of thin air. The goal of this talk is then to elucidate this proof, explain how the proof of $\pi$ being transcendental is just one step away, and, time permitting, mention why the proof for $e^\pi$ is not as far as Hilbert predicted.

Date & Time

March 18, 2026 | 6:00pm – 8:00pm
Add to calendar 03/18/2026 18:00 03/18/2026 20:00 Mathematical Conversations use-title Topic: A Radically Condensed History of Transcendental Number Theory Speakers: Dmitry Krachun, Princeton University More: https://www.ias.edu/math/events/mathematical-conversations-313 It is well-known that the constant e is transcendental, but many proofs of this fact seem opaque with some polynomial appearing to be pulled out of thin air. The goal of this talk is then to elucidate this proof, explain how the proof of $\pi$ being transcendental is just one step away, and, time permitting, mention why the proof for $e^\pi$ is not as far as Hilbert predicted. Simons Hall Dilworth Room a7a99c3d46944b65a08073518d638c23

Location

Simons Hall Dilworth Room

Speakers

Dmitry Krachun, Princeton University

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