Category Archives: Mathematics over the Internet

Joel David Hamkins’ 1000th MO Answer is Coming

Joel David Hamkins’ profile over MathOverflow reads: “My main research interest lies in mathematical logic, particularly set theory, focusing on the mathematics and philosophy of the infinite. A principal concern has been the interaction of forcing and large cardinals, two … Continue reading

Posted in Mathematical logic and set theory, Mathematics over the Internet | Tagged , | 3 Comments

Polymath 8 – a Success!

Yitang Zhang Update (Jan 9, ’14, corrected Jan 10):  Polymath8b have just led to an impressive progress: Goldston, Pintz, and Yıldırım showed that conditioned on the  Elliott-Halberstam conjecture (EHC) there are infinitely many primes of bounded gap below 16. Maynard improved it to 12. … Continue reading

Posted in Mathematics over the Internet, Number theory, Open problems | Tagged , , , , | 7 Comments

Open Collaborative Mathematics over the Internet – Three Examples

After much hesitation, I decided to share with you the videos of my lecture: Open collaborative mathematics over the internet – three examples, that I gave last January in Doron Zeilberger’s seminar at Rutgers on experimental mathematics. Parts of the 47-minutes … Continue reading

Posted in Mathematics over the Internet | Tagged , , , , , , | 1 Comment

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 , | Leave a comment

Looking Again at Erdős’ Discrepancy Problem

Over Gowers’s blog Tim and I will make an attempt to revisit polymath5. Last Autumn I prepared three posts on the problems and we decided to launch them now. The first post is here. Here is a related MathOverflow question. … Continue reading

Posted in Combinatorics, Mathematics over the Internet, Open problems | 2 Comments

A New Polymath Project: Hot Spots in Triangles

A new Polymath7 project proposed by Chris Evans is starting in the polymath blog.

Posted in Mathematics over the Internet, Updates | Leave a comment

The Internet, Journals and all that.

Tim Gowers wrote an interesting post where he proposed in surprising many details an Internet mechanism (mixing ingredients from the arXive, blogs, MathOverflow and polymath projects) to replace Journals. Noam Nisan (who advocated similar changes over the years) wrote an interesting related … Continue reading

Posted in Academics, Mathematics over the Internet | 4 Comments

Joe’s 100th MO question

MathOverflow is a remarkable recent platform for research level questions and answers in mathematics. Joe O’Rourke have asked over MO wonderful questions. (Here is a link to the questions) Many of those questions can be the starting point of a research … Continue reading

Posted in Mathematics over the Internet, Open problems | Tagged , , | 4 Comments

False Beliefs in Mathematics

Test your intuition: For two n by n matrices A and B, is it always the case that tr(ABAB) = tr(ABBA)?

Posted in Mathematics over the Internet, Test your intuition | Tagged , | 6 Comments

Polymath Reflections

Polymath is a collective open way of doing mathematics. It  started over Gowers’s blog with the polymath1 project that was devoted to the Density Hales Jewett problem. Since then we  had Polymath2 related to Tsirelson spaces in Banach space theory , an  intensive Polymath4 devoted … Continue reading

Posted in Mathematics over the Internet, Open discussion | 2 Comments