- In a previous post, I noted John Baez’s thread discussing his incipient article for the Notices of the AMS, entitled “What do mathematicians need to know about blogging?”. John has now completed an initial draft of his article and is welcoming comments on it here. [
*Update*, Oct 2: the article has now been submitted, incorporating much of the feedback.] - In another previous post, I talked about the forthcoming Google Wave platform being developed currently by Google, and its potential usefulness for online mathematical collaborative projects, such as the polymath projects. My brother, who is one of the developers for this project, has just informed me that there are now a limited number of invites available to others who would like to develop specific Wave extensions or other projects (see for instance his own blog post, aimed at the GNOME community). As I understand it, the Wave platform is not yet ready for general use, so these invites would be intended for technical developers (or preferably, a group of developers) who would be working on specific projects. (For instance, I understand that there is already a preliminary extension for encoding LaTeX in a Wave, but it could be developed further.) If any readers are interested, one can request an invite directly from the Google Wave page, or I can forward requests to my brother. [At some point, I may ask for help in trying to build a Wave platform for the next generation of Polymath projects, but this will probably not occur for several months yet, due to a large number of other things on my plate (including existing Polymath projects).]

### Recent Comments

Anonymous on The blue-eyed islanders puzzle… | |

lily amelia on Dyadic models | |

Anonymous on The blue-eyed islanders puzzle… | |

primework123 on Notes on the Bombieri asymptot… | |

Bhupinder Singh Anan… on Notes on the Bombieri asymptot… | |

gninrepoli on A computational perspective on… | |

Klaus Schilling on The Birkhoff-Kakutani theorem | |

gninrepoli on A computational perspective on… | |

gninrepoli on A computational perspective on… | |

线性代数与射影几何的一些结论… on Pappus’s theorem and ell… | |

primework123 on Notes on the Bombieri asymptot… | |

gninrepoli on A computational perspective on… | |

poqv on Notes on the Bombieri asymptot… | |

Gil Kalai on Notes on the Bombieri asymptot… | |

primework123 on Notes on the Bombieri asymptot… |

### Articles by others

- Gene Weingarten – Pearls before breakfast
- Isaac Asimov – The relativity of wrong
- Jonah Lehrer – Don't! – the secret of self-control
- Julianne Dalcanton – The cult of genius
- Nassim Taleb – The fourth quadrant: a map of the limits of statistics
- Paul Graham – What You'll Wish You'd Known
- Po Bronson – How not to talk to your kids
- Scott Aaronson – Ten signs a claimed mathematical proof is wrong
- Timothy Gowers – Elsevier — my part in its downfall
- Timothy Gowers – The two cultures of mathematics
- William Thurston – On proof and progress in mathematics

### Diversions

- Abstruse Goose
- Assembler
- BoxCar2D
- Factcheck.org
- FiveThirtyEight
- Gapminder
- Literally Unbelievable
- Planarity
- PolitiFact
- Quite Interesting
- snopes
- Strange maps
- Television tropes and idioms
- The Economist
- The Onion
- The Straight Dope
- This American Life on the financial crisis I
- This American Life on the financial crisis II
- What if? (xkcd)
- White whine
- xkcd

### Mathematics

- 0xDE
- A Mind for Madness
- A Portion of the Book
- Absolutely useless
- Alex Sisto
- AMS blogs
- AMS Graduate Student Blog
- Analysis & PDE
- Analysis & PDE Conferences
- Annoying Precision
- Area 777
- Ars Mathematica
- ATLAS of Finite Group Representations
- Automorphic forum
- Avzel's journal
- Blog on Math Blogs
- Blog On Mathematical Journals
- blogderbeweise
- Bubbles Bad; Ripples Good
- Cédric Villani
- Climbing Mount Bourbaki
- Coloquio Oleis
- Combinatorics and more
- Compressed sensing resources
- Computational Complexity
- Concrete nonsense
- David Mumford's blog
- Delta epsilons
- DispersiveWiki
- Disquisitiones Mathematicae
- Embûches tissues
- Emmanuel Kowalski’s blog
- Encyclopedia of Mathematics
- Equatorial Mathematics
- fff
- Floer Homology
- Frank Morgan’s blog
- Gérard Besson's Blog
- Gödel’s Lost Letter and P=NP
- Geometric Group Theory
- Geometry and the imagination
- Geometry Bulletin Board
- Girl's Angle
- God Plays Dice
- Good Math, Bad Math
- Graduated Understanding
- Hydrobates
- I Woke Up In A Strange Place
- Igor Pak's blog
- Images des mathématiques
- In theory
- James Colliander's Blog
- Jérôme Buzzi’s Mathematical Ramblings
- Joel David Hamkins
- Journal of the American Mathematical Society
- Kill Math
- Le Petit Chercheur Illustré
- Lemma Meringue
- Lewko's blog
- Libres pensées d’un mathématicien ordinaire
- LMFDB – L-functions and modular forms database
- LMS blogs page
- London number theory
- Low Dimensional Topology
- M-Phi
- MAA MinuteMath
- Mark Sapir's blog
- Math Overflow
- Mathbabe
- Mathblogging
- Mathematical musings
- Mathematics Illuminated
- Mathematics in Australia
- Mathematics Jobs Wiki
- Mathematics Stack Exchange
- Mathematics under the Microscope
- Mathematics without apologies
- Mathlog
- MathOnline
- Mathtube
- Matt Baker's Math Blog
- Mixedmath
- Motivic stuff
- Much ado about nothing
- Multiple Choice Quiz Wiki
- neverendingbooks
- nLab
- Noncommutative geometry blog
- Nonlocal equations wiki
- Not "Not Even Wrong"
- Nuit-blanche
- Number theory web
- outofprintmath
- PDE blog
- Pengfei Zhang's blog
- Peter Cameron's Blog
- Phillipe LeFloch's blog
- ProofWiki
- Quomodocumque
- Random Math
- Reasonable Deviations
- Regularize
- Rigorous Trivialities
- Roots of unity
- Secret Blogging Seminar
- Selected Papers Network
- Sergei Denisov's blog
- Short, Fat Matrices
- Shtetl-Optimized
- Shuanglin's Blog
- Since it is not…
- Sketches of topology
- Soft questions
- Stacks Project Blog
- SymOmega
- tcs math
- TeX, LaTeX, and friends
- The accidental mathematician
- The capacity to be alone
- The Cost of Knowledge
- The Everything Seminar
- The Geomblog
- The L-function and modular forms database
- The Mathematics Literature Project
- The n-Category Café
- The n-geometry cafe
- The On-Line Blog of Integer Sequences
- The polylogblog
- The polymath blog
- The polymath wiki
- The Tricki
- The twofold gaze
- The Unapologetic Mathematician
- The value of the variable
- The World Digital Mathematical Library
- Theoretical Computer Science – StackExchange
- Tim Gowers’ blog
- Tim Gowers’ mathematical discussions
- Todd and Vishal’s blog
- Van Vu's blog
- Vaughn Climenhaga
- Vieux Girondin
- Visual Insight
- Vivatsgasse 7
- Williams College Math/Stat Blog
- Windows on Theory
- Wiskundemeisjes
- XOR’s hammer
- Zhenghe's Blog

### Selected articles

- A cheap version of nonstandard analysis
- A review of probability theory
- American Academy of Arts and Sciences speech
- Amplification, arbitrage, and the tensor power trick
- An airport-inspired puzzle
- Benford's law, Zipf's law, and the Pareto distribution
- Compressed sensing and single-pixel cameras
- Einstein’s derivation of E=mc^2
- On multiple choice questions in mathematics
- Quantum mechanics and Tomb Raider
- Real analysis problem solving strategies
- Sailing into the wind, or faster than the wind
- Simons lectures on structure and randomness
- Small samples, and the margin of error
- Soft analysis, hard analysis, and the finite convergence principle
- The blue-eyed islanders puzzle
- The cosmic distance ladder
- The federal budget, rescaled
- Ultrafilters, non-standard analysis, and epsilon management
- What is a gauge?
- What is good mathematics?
- Why global regularity for Navier-Stokes is hard

### Software

### The sciences

### Top Posts

- Career advice
- Notes on the Bombieri asymptotic sieve
- Does one have to be a genius to do maths?
- It ought to be common knowledge that Donald Trump is not fit for the presidency of the United States of America
- There’s more to mathematics than rigour and proofs
- On writing
- Books
- About
- The Euler-Maclaurin formula, Bernoulli numbers, the zeta function, and real-variable analytic continuation
- Solving mathematical problems

### Archives

- July 2016 (1)
- June 2016 (3)
- May 2016 (5)
- April 2016 (2)
- March 2016 (6)
- February 2016 (2)
- January 2016 (1)
- December 2015 (4)
- November 2015 (6)
- October 2015 (5)
- September 2015 (5)
- August 2015 (4)
- July 2015 (7)
- June 2015 (1)
- May 2015 (5)
- April 2015 (4)
- March 2015 (3)
- February 2015 (4)
- January 2015 (4)
- December 2014 (6)
- November 2014 (5)
- October 2014 (4)
- September 2014 (3)
- August 2014 (4)
- July 2014 (5)
- June 2014 (5)
- May 2014 (5)
- April 2014 (2)
- March 2014 (4)
- February 2014 (5)
- January 2014 (4)
- December 2013 (4)
- November 2013 (5)
- October 2013 (4)
- September 2013 (5)
- August 2013 (1)
- July 2013 (7)
- June 2013 (12)
- May 2013 (4)
- April 2013 (2)
- March 2013 (2)
- February 2013 (6)
- January 2013 (1)
- December 2012 (4)
- November 2012 (7)
- October 2012 (6)
- September 2012 (4)
- August 2012 (3)
- July 2012 (4)
- June 2012 (3)
- May 2012 (3)
- April 2012 (4)
- March 2012 (5)
- February 2012 (5)
- January 2012 (4)
- December 2011 (8)
- November 2011 (8)
- October 2011 (7)
- September 2011 (6)
- August 2011 (8)
- July 2011 (9)
- June 2011 (8)
- May 2011 (11)
- April 2011 (3)
- March 2011 (10)
- February 2011 (3)
- January 2011 (5)
- December 2010 (5)
- November 2010 (6)
- October 2010 (9)
- September 2010 (9)
- August 2010 (3)
- July 2010 (4)
- June 2010 (8)
- May 2010 (8)
- April 2010 (8)
- March 2010 (8)
- February 2010 (10)
- January 2010 (12)
- December 2009 (11)
- November 2009 (8)
- October 2009 (15)
- September 2009 (6)
- August 2009 (13)
- July 2009 (10)
- June 2009 (11)
- May 2009 (9)
- April 2009 (11)
- March 2009 (14)
- February 2009 (13)
- January 2009 (18)
- December 2008 (8)
- November 2008 (9)
- October 2008 (10)
- September 2008 (5)
- August 2008 (6)
- July 2008 (7)
- June 2008 (8)
- May 2008 (11)
- April 2008 (12)
- March 2008 (12)
- February 2008 (13)
- January 2008 (17)
- December 2007 (10)
- November 2007 (9)
- October 2007 (9)
- September 2007 (7)
- August 2007 (9)
- July 2007 (9)
- June 2007 (6)
- May 2007 (10)
- April 2007 (11)
- March 2007 (9)
- February 2007 (4)

### Categories

- expository (243)
- tricks (8)

- guest blog (9)
- Mathematics (660)
- math.AC (5)
- math.AG (37)
- math.AP (89)
- math.AT (15)
- math.CA (130)
- math.CO (154)
- math.CT (6)
- math.CV (13)
- math.DG (33)
- math.DS (69)
- math.FA (23)
- math.GM (9)
- math.GN (21)
- math.GR (78)
- math.GT (12)
- math.HO (9)
- math.IT (9)
- math.LO (46)
- math.MG (35)
- math.MP (25)
- math.NA (13)
- math.NT (136)
- math.OA (17)
- math.PR (88)
- math.QA (5)
- math.RA (25)
- math.RT (21)
- math.SG (4)
- math.SP (45)
- math.ST (6)

- non-technical (129)
- admin (42)
- advertising (24)
- diversions (4)
- media (12)
- journals (3)

- obituary (9)

- opinion (28)
- paper (167)
- question (100)
- polymath (70)

- talk (63)
- DLS (19)

- teaching (149)
- 245A – Real analysis (11)
- 245B – Real analysis (20)
- 245C – Real analysis (6)
- 254A – analytic prime number theory (16)
- 254A – ergodic theory (18)
- 254A – Hilbert's fifth problem (12)
- 254A – random matrices (14)
- 254B – expansion in groups (8)
- 254B – Higher order Fourier analysis (9)
- 275A – probability theory (6)
- 285G – poincare conjecture (20)
- Logic reading seminar (8)

- travel (25)
- Uncategorized (1)

### Google+ feed

- An error has occurred; the feed is probably down. Try again later.

additive combinatorics
almost orthogonality
approximate groups
arithmetic progressions
Ben Green
Cauchy-Schwarz
Cayley graphs
central limit theorem
Chowla conjecture
circular law
compactness
compressed sensing
concentration compactness
correspondence principle
eigenvalues
Elias Stein
Emmanuel Breuillard
entropy
equidistribution
ergodic theory
expander graphs
exponential sums
finite fields
Fourier transform
Four Moment Theorem
Freiman's theorem
Gowers uniformity norms
graph theory
Gromov's theorem
GUE
Hilbert's fifth problem
hypergraphs
inverse conjecture
Kakeya conjecture
Lie algebras
Lie groups
Littlewood-Offord problem
Mobius function
moment method
multiple recurrence
Navier-Stokes equations
nilpotent groups
nilsequences
NLS
nonstandard analysis
parity problem
politics
polymath1
polymath8
polynomial method
polynomials
prime gaps
prime numbers
prime number theorem
project heatwave
pseudorandomness
random matrices
randomness
random walks
Ratner's theorem
regularity lemma
Ricci flow
Riemann zeta function
Schrodinger equation
sieve theory
spectral theorem
structure
Szemeredi's theorem
Tamar Ziegler
ultrafilters
ultraproducts
universality
Van Vu
wave maps
Yitang Zhang

### The Polymath Blog

- Polymath 11 is Now Open 7 February, 2016
- Polymath Proposals on Math Overflow 7 February, 2016
- Explaining Polynomials Identities – Success! 7 February, 2016
- “Crowdmath” project for high school students opens on March 1 2 January, 2016
- Polymath proposal: explaining identities for irreducible polynomials 28 December, 2015
- Polymath10 is now open 6 November, 2015
- The Erdős discrepancy problem has been solved by Terence Tao 22 September, 2015
- Two polymath (of a sort) proposed projects 20 January, 2014
- Polymath9: P=NP? (The Discretized Borel Determinacy Approach) 4 November, 2013
- Polymath8 – A Success ! 20 September, 2013

### Mathematics in Australia

- Save pure mathematics at the VU University of Amsterdam 30 April, 2011
- ERA results for mathematical sciences in Australia 15 February, 2011
- Junior positions at ANU 8 November, 2010
- AustMS now on twitter 10 October, 2010
- Research not bad, but not stellar 9 May, 2010
- L’Oréal Australia For Women In Science Fellowships 11 April, 2010
- Postdoctoral position (Level A) in mathematics at Australian National University 18 January, 2010
- Cheryl Praeger named as 2009 Western Australian Scientist of the Year 2 December, 2009
- Positions at Australian National University 4 November, 2009
- Mathematics skills out for the count 26 October, 2009

## 16 comments

Comments feed for this article

30 September, 2009 at 6:21 pm

rangeHi Dr. Tao, I’m a graduate math student and I wouldn’t mind an invite for Google Wave.

30 September, 2009 at 10:14 pm

AFDr. Tao,

I am a graduate student in EE and I would really appreciate an invite for Wave.

30 September, 2009 at 11:06 pm

PhilippDear Dr. Tao,

I am a German Ph.D. student and I would love to be invited to google wave to test the latex support.

If that is somehow possible, thanks in advance!

1 October, 2009 at 12:54 am

Nigel TaoAt this stage, Wave invites would probably be best used by a group of people who already know each other, and have a reason to converse (e.g. all the graduate students at XXX), rather than to diverse individuals. It’s less useful if the only other Waver you know is our fearless frontman, Doctor Wave. On the other hand, Doctor Wave is currently entertaining himself immensely by talking to random strangers on Wave…

Also, being software developers would be nice to have (and would hopefully be more forgiving of the bugs still in the system (*)), but not essential.

(*) wave.google.com is still in “preview release” stage. It’s not perfect. We’re working on it.

1 October, 2009 at 10:09 am

Scott Morrison@Nigel Tao,

if you’re actually interested in giving invites to all the graduates students at XXX, let me propose the Berkeley maths department! I’m currently a postdoc there, and if something like this could be arranged, I’d happily do a “demo seminar” for anyone interested. This would hopefully start a conversation about using LaTeX in waves, collaborative note-taking, and perhaps even the process of integrating Wave for early exploratory research work with convention LaTeX for “production” work.

1 October, 2009 at 3:21 am

Radu Grigore@Nigel Tao: It sounds like it would make sense to invite the participants in a polymath project…

perhapsafter there’s some LaTeX support.1 October, 2009 at 4:00 am

Matt LeiferI hope you realize that you have opened a can of worms by offering the possibility of Wave invites. You can look forward to a large amount of comment spam from people scoping for invites. Speaking of which:

I have been attempting to get invited to Wave for some time, including in the earlier developer sandbox preview, with no success. My main reason for wanting an invite was to work on LaTeX implementation, so I guess this may not be urgent if someone else is working on it, but I could definitely help with testing and improving the implementation. It would be useful if you could put me in touch with the people developing the Wave LaTeX extension so that I can find out more about what has been done. I am not primarily a software developer, but I do write plugins for web applications in my spare time. My main specialty is getting LaTeX functionality to work (see http://mattleifer.info/code/ for a couple of examples of LaTeX plugins). I am also currently hacking on Andrew Stacey’s PHPLaTeX script (http://www.math.ntnu.no/~stacey/PHPLaTeX/) so I am learning a lot about the internals of TeX/LaTeX parsing. Everything I have done so far is written in PHP for portability reasons, but I am also familiar with python and javascript, so I should be able to work with the Wave APIs.

My email is msleifer [at] the mail service offered by the same company as Wave.

1 October, 2009 at 10:05 am

Scott MorrisonJust to clarify what just changed at Google Wave: everyone who already had an account at the developer preview (http://wavesandbox.com) has just been given an account over at the real thing (http://wave.google.com), along with 8 invites to give away.

I’ve already used up my invites: for (mathematical) collaborators, family, and people who’ve been blogging about Wave and LaTeX but don’t already have accounts.

I’m enthusiastic about improving LaTeX support in Wave. The current solution seems to be the robot “watexy” to replace text enclosed in $$ with an image rendered by a web service. This works, but it leaves a lot to be desired. The images aren’t as high quality as they might be, they have white (not transparent) background and the baseline doesn’t align well.

Worst of all, since the original LaTeX is *replaced* by the image, it is intrinsically uneditable! Not very nice. We really need a solution which allows “presentation” and “editing” modes, but it’s not immediately obvious how this can be done in the current Wave stack.

2 October, 2009 at 1:48 am

jonathanfineI’m interested in developing LaTeX support for Google Wave (and other platforms), and would very much appreciate an invite.

I’m the developer of http://www.mathtran.org, which runs TeX as a daemon to provide translation of mathematical content as a web service.

I also played a leading role in organising a workshop on technical aspects of mathematical content, and some of my fellow participants are also interested in this:

http://groups.google.com/group/uk-math-content-2009/web/home

@Scott: MathTran has solved the problem of editing images, at least in principle. The images served by MathTran are PNGs that contain a ‘custom chunk’ that contains metadata, such as the TeX source. Just open one of these images up in an text editor (gasp) and you’ll see what I mean.

12 November, 2009 at 8:58 pm

KevinHi.

I developed a latex robot that renders LaTeX :)

you can use it adding kevinalle@appspot.com as a participant to a wave and type latex between $$’s

(like: $$\sum_{i=0}^n$$)

there is a longer description here:

http://wave-samples-gallery.appspot.com/about_app?app_id=58014

also the source code is available here:

http://code.google.com/p/latexy/

enjoy!

Kev

2 October, 2009 at 8:39 am

Kareem CarrIt seems like there is already quite a bit of interest for implementing polymath friendly structures in wave. I just set up an email account for people who are interested, polymathwavegroup [at] gmail.com. Now, I would like to stress that this is completely informal and I don’t have a wave invitation. I, myself, am quite interested in working on implementing polymath ideas in wave and I thought it would be great if there were a group of like-minded people.

Even if we are not part of the initial wave invites, this can serve as a contact list for when wave becomes more widely availabe in the future.

2 October, 2009 at 1:54 pm

Kareem CarrSomeone suggested that a google group might be a better idea so here’s a link to that.

13 October, 2009 at 6:21 am

Jonathan HuntHi,

Just in case people are interested I have made a Wave gadget for equation editing (it’s very basic at the moment, but I hope it will improve). In addition, I’ve got a bot which replaces text between $$ signs with equation gadgets.

To use it just at eqybot@appspot.com as a participant to a Wave. Or visit https://wave.google.com/wave/#restored:wave:googlewave.com!w%252B4muyQgqQR.3 to find the gadget installer.

You can also learn more at http://waveyscience.appspot.com

I’m keen to work with other’s on making Wave better for science/maths collaboration.

13 October, 2009 at 2:10 pm

joshua vogelsteini’d love an invite. i work collaboratively on several applied math projects, with people in different institutions, running different OS’s, on different continents. we currently kludge together some collaborative online stuff using emails, ftp sites, and git, which is painfully suboptimal. we have some ideas about how to organize things to work better for our purposes, and some development experience. many thanks.

27 September, 2014 at 6:59 pm

pdehayeFive years later, where are we now?

27 September, 2014 at 7:02 pm

pdehayeWould it be worthwhile revisiting this in the context of MOOCs? This could align incentives for us mathematicians, blending our research and our teaching, if we manage to pull off a hint of citizen science.