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Massachusetts Institute of Technology

"If it quacks like a sphere" : the million dollar problem

Abstract

dc:description.abstract

Grigori Perelman, a reclusive Russian mathematician, may have proved the Poincare Conjecture, a statement first poised by Jules Henri Poincare in 1902. The problem is the most eminent challenge in the mathematical field of topology. Perelman posted his proof on the online informal preprint server at arXiv.org. His proof leaves a number of details unexplained. Although he initially participated in the verification of his proof, answering questions to help people understand his work, in the last year Perelman has effectively disappeared from the mathematical community. His absence has caused some controversy in the world of mathematics, where individual mathematicians are usually expected to support their own results. In the wake of his disappearance, other mathematicians are coming together to pore over his work and try to flesh out the details. His apparent desertion raises questions both about the personal risk of mathematicians working at the highest level and the responsibility of the mathematical community in the verification process.

Degree

thesis:*
Department dc:contributor.department
Massachusetts Institute of Technology. Graduate Program in Science Writing
Grantor dc:publisher
Massachusetts Institute of Technology
Year dc:date.issued
2006

Author and committee

dc:creator, dc:contributor.*
Author dc:creator
  • Ornes, Stephen
Advisor dc:contributor.advisor
  • Thomas Levenson.

Subjects

dc:subject × 1

Rights

dc:rights
Statement dc:rights
  • M.I.T. theses are protected by copyright. They may be viewed from this source for any purpose, but reproduction or distribution in any format is prohibited without written permission. See provided URL for inquiries about permission.
Language dc:language.iso
eng

Identifiers

dc:identifier.*
Handle dc:identifier.uri
http://hdl.handle.net/1721.1/39443
OAI identifier oai:identifier
oai:dspace.mit.edu:1721.1/39443

Chain of custody

source
Harvested from
MIT
Base URL
dspace.mit.edu/oai/request
Last updated
2026-07-22
Source record
OAI-PMH GetRecord
citation

Ornes, Stephen. "If it quacks like a sphere" : the million dollar problem. Massachusetts Institute of Technology, 2006. http://hdl.handle.net/1721.1/39443