rename papers accordingly, and add descriptive info

remove dup maths papers

data_compression/see.machine.learning

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-Machine learning often overlaps significantly with compression.

machine_learning/curt.mac.mullen.renormalisation.video.url

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-https://www.youtube.com/watch?v=_qjPFF5Gv1I

mathematics/ATSN.url

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-https://www.math.upenn.edu/~ghrist/preprints/ATSN.pdf

mathematics/README.md

@@ -1,53 +1,55 @@
 ## Mathematics
 
 * [:scroll:](transcendence-of-pi.pdf) [The Transcendence of pi](https://github.com/papers-we-love/papers-we-love/blob/master/mathematics/transcendence-of-pi.pdf) by Steve Mayer
-* [:scroll:] [Tilings](https://github.com/papers-we-love/papers-we-love/blob/master/mathematics/ardila.tilings.0501170.pdf) by Ardila
+* [:scroll:] [Tilings](https://github.com/papers-we-love/papers-we-love/blob/master/mathematics/tilings.pdf) by Ardila
 
-  Programmers are used to counting boring things. Why not count something more interesting for a change?
+  Programmers are used to counting boring things. Why not count something more interesting for a change?  This paper covers a broad swatch of the topic of analysis of tiling, and related strategies.
 
-* [:scroll:] [graph isomorphism and representation theory](https://github.com/papers-we-love/papers-we-love/blob/master/mathematics/daniel litt. graph isomorphism and representation theory. graphs-sl2.pdf) by Daniel Litt
+* [:scroll:] [From Dominoes to Hexagons](https://github.com/papers-we-love/papers-we-love/blob/master/mathematics/from-dominoes-to-hexagons.pdf) by Thurston
+
+  A paper on the generalization of tilings across different base planes.
+
+* [:scroll:] [graph isomorphism and representation theory](https://github.com/papers-we-love/papers-we-love/blob/master/mathematics/graph-isomorphism-and-representation-theory.pdf) by Daniel Litt
 
     Programmers work with graphs often (file system, greplin, trees, "graph isomorphism problem" (who cares) ).   But have you ever tried to construct a simpler building-block (basis) with which graphs could be built? Or at least a different building block to build the same old things.
     
     This <10-page paper also uses `𝔰𝔩₂(ℂ)`, a simple mathematical object you haven’t heard of, but which is a nice lead-in to an area of real mathematics—rep theory—that (1) contains actual insights (1a) that you aren’t using (2) is simple (3) isn’t pretentious.
 
-* [:scroll:] [Conway's ZIP proof](https://github.com/papers-we-love/papers-we-love/blob/master/mathematics/francis + weeks ZIP proof.pdf) by francis + weeks
+* [:scroll:] [Conway's ZIP proof](https://github.com/papers-we-love/papers-we-love/blob/master/mathematics/conways-zip-proof.pdf) by George Francis and Jeffrey Weeks
 
     This paper can be shown to college freshmen because
-    * it’s pictorial
-    * it’s about an object you mightn’t have considered mathematical
+    * it is pictorial
+    * it is about an object you might not have considered mathematical
     * no calculus, crypto, ML, or pretentious notation
-    * it’s short
-    * it’s a classification proof: “How can it be that you know something about _all possible_ `X`, even the `xϵX` you haven’t seen yet?’
-
-* [:scroll:] [from dominoes to hexagons](https://github.com/papers-we-love/papers-we-love/blob/master/mathematics/from-dominoes-to-hexagons.pdf) by Thurston
-* [:scroll:] [On Invariants](https://github.com/papers-we-love/papers-we-love/blob/master/mathematics/OnOnInvariants.pdf) by Bar-Natan
+    * it is short
+    * it is a classification proof: “How can it be that you know something about _all possible_ `X`, even the `xϵX` you haven’t seen yet?”
 
-  2 pages about how notation and algorithms are inferior to clarity and simplicity.
-
-* [:scroll:] [packing of spheres](https://github.com/papers-we-love/papers-we-love/blob/master/mathematics/packing-of-spheres--sloane.pdf) by Sloane
+* [:scroll:] [packing of spheres](https://github.com/papers-we-love/papers-we-love/blob/master/mathematics/packing-of-spheres.pdf) by N. Sloane
   * role of E8 & Leech lattice in optimal codes
   * mathematically best compression was never used
   * ikosahedron
 
 * [:scroll:] [some underlying geometric notions](https://github.com/papers-we-love/papers-we-love/blob/master/mathematics/some-underlying-geometric-notions.pdf)
-* [:scroll:] [triality in so(4,4) characteristic classes, D4 G2 singularities](https://github.com/papers-we-love/papers-we-love/blob/master/mathematics/triality.in.so(4,4).characteristic.classes.d4.g2.singularities.1311.0507.pdf) by Mikosz and Weber
 
   This is a higher-level paper, but still a survey (so more readable). It ties together disparate areas like Platonic solids (A-D-E), Milnor’s exceptional fibre, and algebra.
 
   It has pictures and you’ll get a better sense of what mathematics is like from skimming it.
 
-* [:scroll:] [what is a young tableaux?](https://github.com/papers-we-love/papers-we-love/blob/master/mathematics/whatis a young tableau? alexander yong.pdf) by Alexander Yong
+* [:scroll:] [what is a young tableaux?](https://github.com/papers-we-love/papers-we-love/blob/master/mathematics/what-is-a-young-tableau.pdf) by Alexander Yong
+
+  Young Tableau appear in many areas of mathematics.  Beyond combinatoric problems, we also see them in representation theory, and the calculus of Grassmannians.
+  
+  Another common topic is sorting "You do sorting all the time. Are there smart ways to organise sub-sorts?"
+
 
-  You do sorting all the time. Are there smart ways to organise sub-sorts?
 
 ### Topology 
-* [:scroll:] [topology of numbers](https://github.com/papers-we-love/papers-we-love/blob/master/mathematics/topology-of-numbers--hatcher.pdf) by hatcher
+* [:scroll:] [Topology of Numbers](https://github.com/papers-we-love/papers-we-love/blob/master/mathematics/topology-of-numbers--hatcher.pdf) by hatcher
 * [Applied Algebraic Topology and Sensor Networks](https://www.math.upenn.edu/~ghrist/preprints/ATSN.pdf) by Robert Ghrist
-* [:scroll:] [intro to tropical algebra geometry](https://github.com/papers-we-love/papers-we-love/blob/master/mathematics/intro-to-tropical-algebra-geometry.pdf)
+* [:scroll:] [Intro to Tropical Algebra Geometry](https://github.com/papers-we-love/papers-we-love/blob/master/mathematics/intro-to-tropical-algebraic-geometry.pdf)
 
   Recently there have been some papers posted about tropical geometry of neural nets. Tropical is also said to be derived from CS. This is a good introduction.
 
-* [:scroll:] [EAT: Sheaves](https://github.com/papers-we-love/papers-we-love/blob/master/mathematics/EAT-chapter9-sheaves.pdf)
+* [:scroll:] [Elements of Algebraic Topology: Sheaves](https://github.com/papers-we-love/papers-we-love/blob/master/mathematics/elements-of-algebraic-topology-ch9-sheaves.pdf)
 
-  Varying your dimensionality across a space. But also — distributed robots!
+  Seminal writing on topological structures, from one most lauded books 'Elements of Algebraic Topology'