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@mathcatalog
Discovery of the 50th known Mersenne Prime.
The Great Internet Mersenne Prime Search (GIMPS) has announced the discovery of a new largest Mersenne prime number, 277,232,917 -1.
“If knowledge can create problems, it is not through ignorance that we can solve them.” - Isaac Asimov
Is the Zariski topology even a topology or have we just all collectively agreed to pretend it is
Masterpost: Index
Now that it’s no longer possible to experience OTAM as a “dose a day” math fix, I figured I’d try to get around to making a somewhat more accessible organizational scheme. This post is obviously something of a hack, but it was good enough for printed books for hundreds of years it can be good enough for little old OTAM. I’ve split post this into two parts:
First comes a list of significant tags. This means reasonably small collections of posts but contain a high density of the most interesting posts. Within a tag, except for the
And second, underneath a readmore, comes a list of posts (or drafted posts) which are significant in their own right but cannot be easily found from the tags. [The eight posts in this list marked with stars and italics are, in my opinion, the absolute highlights of this blog.]
——
Index of Significant Tags
The Archive: A single page containing tumbnails of every post
Conferences (semi-chronological)
All Joint Meetings Posts
Joint Mathematics Meetings 2015 (summary) (awards)
Joint Mathematics Meetings 2016 (awards)
Joint Mathematics Meetings 2017 (awards)
All Midwest Combinatorics Conference Posts
Midwest Combinatorics Conference 2015
Midwest Combinatorics Conference 2017 (long summary)
All Commutative Algebra Plus Posts
Commutative Algebra+ 2016 (summary)
Commutative Algebra+ 2017
Algebraic and Combinatorial Approaches in Systems Biology (summary)
Graduate Student Conference in Geometry and Topology 2016
Great Plains Combinatorics Conference 2016
AMS Central Sectional Meeting Fall 2016 (summary)
Southeastern International Conference yadda-yadda 2017 (summary)
Equivariant Combinatorics (school) (summary)
Local Cohomology in Commutative Algebra and Algebraic Geometry
Disciplines & Subjects
Analysis, but more usefully
Complex Analysis
Functional Analysis
Harmonic Analysis
Real Analysis
Algebra exists, although is not very useful
Algebraic Geometry (kind of long, but no useful subtags)
Combinatorics, but more usefully
Algebraic Combinatorics
Combinatorial Geometry
Enumerative Combinatorics
Geometric Combinatorics
Graph Theory and its strict subset Algebraic Graph Theory
Posets
Topological Combinatorics
Geometry (also kind of long; useful subtags already listed)
Group Theory
Invariant Theory
Lie Theory
Mathematical Biology (an admittedly very skewed picture of the field)
Number Theory (and Everything I Know About Algebraic Number Theory)
Pedagogy
Probability
Proofs (not proof theory)
Topology and its strict subset Algebraic Topology
Undergraduate Research
Effortposts / Sequences
Graduate Research Workshop in Combinatorics 2016 proposal talks
mathspeak (NB: I no longer endorse anything I wrote in these posts)
Math StackExchange answers (mostly mine) (and Math Overflow)
Naïve Set Theory
NOTSB-related
Summer 2017 Journal
Introduction to Cluster Algebras
Introduction to Coxeter Groups
Introduction to Homology
Introduction to Modules and Associative Algebras
Introduction to Schubert Stuff (and Other Schubert Stuff)
Back to Basics (a random assortment of introductory stuff; includes the Introduction to Modules sequence)
Big-Whatever Notation (on $\Sigma$, $\Pi$, and friends)
Math+
Math History
Math Jokes!
Math Philosophy
“Masterposts”, i.e. Single-Post Tags
the social justice conversation surrounding JMM 2017
differential topology (Part B) prelims solutions (+a little) (single page view)
websites for collecting mathematical examples
a very small list of poset properties
a launching point into non-enumerative combinatorics
Federico Ardila’s video lectures
Personal Life
failure
grad school
learning
math friends
motivation
new year
thanksgiving
Professional Life
academia
blogging (and mad blogging experiment)
CRP
outreach
senior thesis-related
studying
talks with Vic
teaching (parts of this tag are more relevant than others)
writing (and math writing)
Social Justice
Becoming a Responsible Academic
Diversity
Women in Math
Keep reading
You, a fool: calculus is useful because of its applications in physics.
Me, an intellectual: Riemann sums are a good way to cut wood
The Mathematical Sciences Research Institute (MSRI), founded in 1982, is an independent nonprofit mathematical research institution whose funding sources include the National Science Foundation, foundations, corporations, and more than 90 universities and institutions. The Institute is located at 17 Gauss Way, on the University of California, Berkeley campus, close to Grizzly Peak, on the hills overlooking Berkeley.
Summer program for Women in Mathematics.
Probability Calculations - Even Babies Can Master Them
One of the most important features of the human mind is its ability to make generalisations based on sparse data. Our brain accomplishes this task by using probability information to represent statistical regularities in our environment and guiding our actions. As adults, we have a vague understanding of which events are likely to happen. But so far, it has not been clear when in our lifespan we begin to estimate which events are more likely to occur than others. Scientists at the Max Planck Institute for Human Cognitive and Brain Sciences (MPI CBS) in Leipzig have now shown that even six-month-old babies have a sense of probability.
The research is in Child Development. (full access paywall)
PSA: How to write a blackboard bold Z
You know what doesn’t actually matter but always bothers me? This:
No.
Stop.
Today we’re going to learn how to write $\Bbb Z$. It’s a two step procedure, and you don’t have to train your hand to make any new motions, so no excuses:
Step 1: Write a “7”
Step 2: Write an italicized “L”
That’s it.
Enjoy writing perfect $\Bbb Z$’s, every time.
im looking at this old math professor of mines website and … it says “this is under construction, please bear with me. i’ll get it done” and then at the bottom it says “last updated in october 1999″ im screaming.
“Nonsense times zero is nonsense,” says my math professor, “because the nonsense in this case is bounded.”
The Number Devil - Hans Magnus Enzensberger, Rotraut Susanne Berner & Michael Henry …
18-9-2017 . letters to a young mathematician . ♫ again - astro ♪ today i: finished a book!
such a good book!! i technically started reading it several months ago, but finally finished it today, and it ended up being so much better as a whole than i had anticipated—it leads through the career of a mathematician, from elementary to tenure as a professor, offering advice in the form of letters spanning that time. honestly, this really gives me a lot of hope for my own future: before it was this nebulous cloud of a vaguely-defined path, but now? now i know what the road looks like, and every time i glance into this book i’ll be able to remind myself of what possible.
i’d recommend this to anyone interested in mathematics! no matter what point you’re at, there’s bound to be something in here that you find useful
Limiting proof of area of a circle.