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- Algorithmic Game Theory: Past, Present, and Future
- Richard Stanley: Enumerative and Algebraic Combinatorics in the1960’s and 1970’s
- Igor Pak: How I chose Enumerative Combinatorics
- Quantum Computers: A Brief Assessment of Progress in the Past Decade
- Noga Alon and Udi Hrushovski won the 2022 Shaw Prize
- Oliver Janzer and Benny Sudakov Settled the Erdős-Sauer Problem
- Past and Future Events
- Joshua Hinman proved Bárány’s conjecture on face numbers of polytopes, and Lei Xue proved a lower bound conjecture by Grünbaum.
- Amazing: Jinyoung Park and Huy Tuan Pham settled the expectation threshold conjecture!
Top Posts & Pages
- Algorithmic Game Theory: Past, Present, and Future
- Amazing: Jinyoung Park and Huy Tuan Pham settled the expectation threshold conjecture!
- The Argument Against Quantum Computers - A Very Short Introduction
- Oliver Janzer and Benny Sudakov Settled the Erdős-Sauer Problem
- Quantum Computers: A Brief Assessment of Progress in the Past Decade
- Combinatorics, Mathematics, Academics, Polemics, ...
- Richard Stanley: Enumerative and Algebraic Combinatorics in the1960’s and 1970’s
- TYI 30: Expected number of Dice throws
- Amazing! Keith Frankston, Jeff Kahn, Bhargav Narayanan, Jinyoung Park: Thresholds versus fractional expectation-thresholds
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Monthly Archives: June 2013
The Kadison-Singer Conjecture has beed Proved by Adam Marcus, Dan Spielman, and Nikhil Srivastava
…while we keep discussing why mathematics is possible… The news Adam Marcus, Dan Spielman, and Nikhil Srivastava posted a paper entitled “Interlacing Families II: Mixed Characteristic Polynomials and the Kadison-Singer Problem,” where they prove the 1959 Kadison-Singer conjecture. (We discussed part … Continue reading
Why is Mathematics Possible: Tim Gowers’s Take on the Matter
In a previous post I mentioned the question of why is mathematics possible. Among the interesting comments to the post, here is a comment by Tim Gowers: “Maybe the following would be a way of rephrasing your question. We know … Continue reading
Posted in Open discussion, Philosophy, What is Mathematics
Tagged Foundations of Mathematics, Open discussion, Philosophy, Tim Gowers
22 Comments
Polymath8: Bounded Gaps Between Primes
Yitang Zhang’s very recent shocking paper demonstrated that bounded gaps between primes occur infinitely often, with the explicit upper bound of 70,000,000 given for this gap. Polymath8 was launched for the dual purpose of learning Zhang’s proof and improving the upper bound … Continue reading
Posted in Mathematics over the Internet, Number theory, Updates
Tagged Polymath8, Twin primes conjecture
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