From Tim Gowers’ blog comes the announcement that the Tricki – a wiki for various tricks and strategies for proving mathematical results – is now live. (My own articles for the Tricki are also on this blog; also Ben Green has written up an article on using finite fields to prove results about infinite fields which is loosely based on my own post on the topic, which is in turn based on an article of Serre.) It seems to already be growing at a reasonable rate, with many contributors.

### Recent Comments

### 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
- Pattern of Ideas
- 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
- Yufei Zhao's blog
- 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
- Does one have to be a genius to do maths?
- The Euler-Maclaurin formula, Bernoulli numbers, the zeta function, and real-variable analytic continuation
- Books
- Analysis I
- There’s more to mathematics than rigour and proofs
- On writing
- Inverting the Schur complement, and large-dimensional Gelfand-Tsetlin patterns
- Solving mathematical problems
- About

### Archives

- September 2017 (3)
- August 2017 (5)
- July 2017 (5)
- June 2017 (1)
- May 2017 (3)
- April 2017 (2)
- March 2017 (3)
- February 2017 (1)
- January 2017 (2)
- December 2016 (2)
- November 2016 (2)
- October 2016 (5)
- September 2016 (4)
- August 2016 (4)
- 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 (259)
- tricks (10)

- guest blog (10)
- Mathematics (697)
- math.AC (6)
- math.AG (37)
- math.AP (92)
- math.AT (17)
- math.CA (139)
- math.CO (162)
- math.CT (6)
- math.CV (20)
- math.DG (35)
- math.DS (73)
- math.FA (23)
- math.GM (9)
- math.GN (21)
- math.GR (79)
- math.GT (15)
- math.HO (10)
- math.IT (11)
- math.LO (46)
- math.MG (36)
- math.MP (25)
- math.NA (13)
- math.NT (143)
- math.OA (17)
- math.PR (92)
- math.QA (5)
- math.RA (34)
- math.RT (21)
- math.SG (4)
- math.SP (47)
- math.ST (6)

- non-technical (136)
- admin (43)
- advertising (26)
- diversions (4)
- media (12)
- journals (3)

- obituary (10)

- opinion (29)
- paper (178)
- question (102)
- polymath (70)

- talk (64)
- DLS (19)

- teaching (159)
- 245A – Real analysis (11)
- 245B – Real analysis (21)
- 245C – Real analysis (6)
- 246A – complex analysis (9)
- 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 (2)

additive combinatorics
approximate groups
arithmetic progressions
Ben Green
Cauchy-Schwarz
Cayley graphs
central limit theorem
Chowla conjecture
circular law
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 norm
Gowers uniformity norms
graph theory
Gromov's theorem
GUE
Hilbert's fifth problem
hypergraphs
inverse conjecture
Kakeya conjecture
Lie algebras
Lie groups
Liouville function
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 13 – a success! 22 August, 2017
- Non-transitive Dice over Gowers’s Blog 15 May, 2017
- Rota’s Basis Conjecture: Polymath 12, post 3 5 May, 2017
- Rota’s Basis Conjecture: Polymath 12 6 March, 2017
- Blog theme changed 28 February, 2017
- Rota’s Basis Conjecture: Polymath 12? 23 February, 2017
- MO Polymath question: Summary of Proposals 13 August, 2016
- Polymath 11 is Now Open 7 February, 2016
- Polymath Proposals on Math Overflow 7 February, 2016
- Explaining Polynomials Identities – Success! 7 February, 2016

## 11 comments

Comments feed for this article

16 April, 2009 at 11:26 am

anonNice, but I hope there are more algebraic articles to come.

17 April, 2009 at 12:22 am

bengreenI hope there will be more algebraic articles too. In fact part of my thinking in writing a couple of (loosely) algebraic articles was that more expert readers would be so affronted by my ignorance that they could not help but make corrections and supply further discussion. I hope to see that happening!

17 April, 2009 at 2:40 am

gowersI too very much hope that there will be more algebraic articles, and my motivation for writing a couple of articles on group theory was much the same as the motivation that Ben expresses above. I’m glad to see that Henry Wilton has already contributed a group theory article.

17 April, 2009 at 5:41 pm

Terence TaoIn that spirit, I just contributed another group theory article to the Tricki:

http://www.tricki.org/article/First_pretend_that_a_normal_subgroup_is_trivial

19 April, 2009 at 3:03 am

AnonDear Professor Tao,

you (or someone else) could write a short article on “making divergent expressions into precise proofs” explaining what you meant in your blog entry on Tate’s thesis about using distributions.

20 April, 2009 at 2:24 pm

Terence TaoDear Anon,

There is some discussion on this at the tricki article

http://www.tricki.org/article/Create_an_epsilon_of_room

particularly in Example 5. (For the manipulations involving adeles, one would probably want to perform some regularisations based on gaussians; such computations are not yet on that tricki article, but presumably one could request a computation there.)

21 April, 2009 at 7:26 am

Tricki opens its doors // La Tricki abre sus puertas « chimathera[…] More information available at: Tricki now fully live – Gowers Tricki now live – Tao […]

21 April, 2009 at 7:31 am

JoseBroxHi Terry!

I trackbacked you at my new wordpress blog (chimathera) and mentioned you in my first post as an example of a mathematician who uses (and uses well!) the “Tricki techniques”. I hope you don’t mind!

Regards, Jose Brox

1 May, 2009 at 8:58 am

How to Write a Really Good Research Paper « Successful Researcher[…] Mathematicians can also make use of the classical text How to write mathematics by Paul R. Halmos. Another potentially very promising tool for mathematicians is Tricki (the wiki of math tricks and techniques) whose aims and scope are discussed at the blogs of the Fields medalists Tim Gowers and Terence Tao, see e.g. here and here. […]

30 July, 2009 at 9:09 pm

Trucos y consejos para demostraciones Matemáticas[…] niveles superiores, es más, el lanzamiento de Tricki.org lo conocí hace unos meses gracias a un post del Dr. Terry Tao (Medalla Fields en el 2006, algo así como el Novel en Matemáticas), desde entonces la cantidad de […]

20 May, 2012 at 4:09 pm

Tricki Math Methods Website | New Math Done Right[…] Terry Tao announcement on Tricki now live. […]