Mathematics

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Documentaries

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  1. The Ascent of Man
  2. The Genius of Srinivasa Ramanujan | Vigyan Prasar | IISER Pune
  3. Grigori Perelman documentary

    Use YouTube CC for (English) subtitles ...

  4. Giza 3D

Mathematica

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  1. Wolfram Mathematica
  2. Wolfram Research, Inc.
  3. Function Repository
  4. The Mathematica Package Repository.
  5. AbstractAlgebra - Exploring Abstract Algebra with Mathematica
  6. Making a website with Mathematica

Eclipse/Workbench

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  1. The Eclipse Foundation
  2. How-To Install Workbench 3.0

Sage

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  1. Sage on Windows 10

    Running Sage on the Windows 10 Pro Subsystem for Linux (WSL)

  2. Questions - ASKSAGE: Sage Q&A Forum
  3. SageMath - Open-Source Mathematical Software System
  4. Abstract Algebra with Sage
  5. Sage Documentation v9.0
  6. Number fields — Sage Constructions v6.8

Python

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27/8-'20: OK. A Python category...

  1. Pexpect version 4.8 — Pexpect 4.8 documentation
  2. Diophantine — SymPy 0.7.6.1 documentation

SCSCP/OpenMath

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Client-Server protocol for Scientific Computing packages

  1. OpenMath Home
  2. SCSCP (Symbolic Computation Software Composability Protocol)
  3. SCSCP related
  4. symcomp/org.symcomp.java
  5. GAP Manual SCSCP

GAP

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  1. GAP
  2. GAP Lesson
  3. GAP Lectures by A. Hulpke
  4. Abstract Algebra with GAP
  5. Rings in GAP

    Everything you always wanted to know about rings in GAP (*but were afraid to ask*) - Jürgen Ecker

  6. LibGAP

Pari/GP

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  1. pari.math.u-bordeaux.fr
  2. A tutorial for Pari/GP
  3. PARIrefcard.pdf
  4. An introduction to gp2c
  5. parigp tutorials
  6. Category:PARI/GP

Kant/Singular/MIX

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  1. Singular
  2. KANT
  3. MixEmul

Geogebra

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  1. GeoGebra | Free Math Apps - used by over 100 Million Students & Teachers Worldwide
  2. Escher en het Alhambra
  3. Digital Mathematics

    Geogebra Tutorial and more...

Desmos

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  1. Desmos

    Online graphing calculator

Eclipse

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  1. Rich Client Platform
  2. Eclipsepedia

Online Tools

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  1. Approach Zero

    Mathematics Aware Search-Engine

  2. Cantor's Attic
  3. The Mathematical Functions Grimoire
  4. Sketchfab - The best 3D viewer on the web
  5. quadratic camera
  6. liegroups.org

LaTeX

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Category Reviewed 19/1-'21

  1. LaTeX org
  2. MiKTeX Project Page
  3. TeX Users Group

    Official channel of TeX Users Group. Conferences, and other videos on TeX and associated tech.

  4. Wikia
  5. Tex Stack Exchange
  6. Style/class tutorials

LaTeX IDE's

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  1. LaTeX Editors/IDEs
  2. OverLeaf
  3. ShareLaTeX, the Online LaTeX Editor
  4. TeXstudio : user manual
  5. TeXstudio
  6. Hannah-Sten/TeXiFy-IDEA

LaTeX packages

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  1. Using the amsthm package
  2. Package graphicx
  3. tcolorbox.pdf

Writing

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  1. Text Processing Tools
  2. PDF to PNG - Convert PDF to PNG Online
  3. Markdown,Sublime Text and Pandoc
  4. Synoniemen.net
  5. iceScrum

Image Processing

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  1. Digital Image Processing

"Hardware for Tools"

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  1. vrugtehagel.
  2. SimH "Classic"
  3. Homepage | Focusrite
  4. Introduction to Hardware: Learn the Basics
  5. Udemy - How to give your laptop a second life - SSD, HDD, RAM, Fa...
  6. Wireshark · Go Deep.

    network analysis tool

Brain & Life

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  1. How do brains work?
  2. the Shape of Life | The Story of the Animal Kingdom

e-Books

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  1. Library Genesis
  2. Open Source Approved by AIM
  3. Mathematics Textbooks for Self Study --- A Guide for the Autodidactic
  4. Free Textbooks by Topic
  5. Goodreads

    The Facebook for book-lovers. Join!

e-Book Accessories

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  1. Calibre

    E-book Database Management

  2. Custom Metadata for Calibre
  3. Convert DjVu files to PDF Online
  4. Jellybooks - Welcome
  5. Smallpdf.com

    A Free Solution to all your PDF Problems

  6. Goodereader

In/Out-Bin

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  1. WISM103: History from Ellipse to Elliptic Curve
  2. Department of Mathematics at University of California Berkeley
  3. Stack Overflow Blog
  4. Suggest Bookmarks Here

    My personal Twitter feed

  5. User:Nilo de Roock - OeisWiki

Calculus / Analysis

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=== Under Review ===

  1. NUI Galway MA180-2/MA190/MA186 : Semester 2 Calculus, 2012/13
  2. Math 24

    Many ( 2000+ ) solved Calculus Problems

  3. Real Analysis (73 lectures)
  4. How Euler Did It, by Ed Sandifer

    MAA Column

  5. Vector Calculus Book
  6. Resources

Complex Analysis

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Category Reviewed 18/1-'21

  1. Prof. Dr. Hugo de Garis ' Complex Analysis notes

    Textbooks and papers on Complex Analysis

  2. James Cook's MATH 331: Complex Analysis

    Lectures, Problem Sets and Solutions

  3. Math 5021

    Problem Sets + Solutions CA I

  4. Math 5022

    Problem Sets + Solutions CA II

  5. Complex Analysis - Spring 16

    Mathematics III - Complex Analysis - Spring 16

  6. MIT 18.04 Class Notes

Abstract Algebra

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=== Under Review ===

  1. The Birkhoff Problem
  2. Goodman - Algebra
  3. Finitely-generated modules over a principal ideal domain
  4. Group Representation Theory
  5. Linear Algebra

    Open Source Textbook

  6. Problems in Mathematics

Topology

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=== Under Review ===

  1. Cantor's first set theory article
  2. Manifolds: A Gentle Introduction
  3. Zariski Topology
  4. Mumford’s treasure map
  5. π-Base
  6. The Fundamental Group of the Circle, Part 1

    The Fundamental Group of the Circle, Part 1/6

Number Theory

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=== Under Review ===

  1. Linear algebraic approach to algebraic number theory | Number Theory and Its Applicatio...
  2. Elementary Number Theory

    Number Theory Course by W. Stein at Harvard in 2001 using PariGP

  3. Number Theory and Cryptography

    Tech Notes by Matt Kerr

  4. The Subalgebra Structure of the Cayley-Dickson Algebra of Dimension 32 (trigintaduonion)

    Beyond the sedenions : trigintaduonions.

  5. Euclidean Algorithm for Gaussian Integers

    Taken from the mathdoctorbob collection

  6. Rings of Integers in Quadratic and Cyclotomic Fields

Analytic Number Theory

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=== Under Review ===

  1. WISM103: History from Ellipse to Elliptic Curve
  2. Riemann Hypothesis

    Proposed (dis)proofs of the Riemann Hypothesis

  3. Riemann_s_Explicit_Formula_and_the_Prime_Number_Theorem

    Prime Counting Function

  4. Explicit formulae for L-functions
  5. Bsc. Thesis Zeta function (pdf)

    The Zeta function according to Riemann - Willem Pranger - 8 Feb 2013

  6. MATH 41022 / 61022

    ANT ( Dr. M. Coleman )

Discrete Mathematics

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  1. Permutation Puzzles
  2. Exploring Discrete Mathematics Using Mathematica
  3. How to think in graphs: An illustrative introduction to Graph Theory and its applications

Category Theory

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  1. Category Theory in Context

    Emily Riehl's book ( free PDF version )

  2. Logical Methods in Computer Science
  3. Theory and Applications of Categories
  4. Category Theory

Mathematical Logic

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  1. Mathematical Logic

    Technical Notes by Helmut Schwichtenberg

  2. Archive of Formal Proofs
  3. Mathematical Components
  4. leanprover-community/mathlib
  5. Formal Abstracts

    Towards a Google Earth of Mathematics...

Top 10 Mathematics Blogs

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==Initial ranking done==

  1. Terence Tao

    #2 - Graduate level & research topics. - ( Was Charlie Eppes modeled after Tao or Noam Elkies?! )

  2. Math with Bad Drawings

    #1 - Illustrated blog

  3. Not Even Wrong

    #3 - Peter Woit

  4. Stephen Wolfram

    Blog from the inventor of Mathematica. ( Who released 12.3 way too soon. )

  5. Boxing Pythagoras

    Ideas on a wide range of topics, from Algebra to Zoroastrianism. So not a math blog per se.

  6. The Map of Mathematics

    www.quantamagazine.org

Other Math Blogs ( Active )

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=== Under Review ===

  1. Communications of the ACM
  2. Almost Complex Structure

    Basically just math and stuff

  3. Steven Strogatz

    Website of a professor of Applied Mathematics.

  4. neverendingbooks

    Lieven le Bruyn mathematician by day (noncommutative geometry), blogger by night.

  5. Yet Another Mathblog

    David Joyner's blog

  6. Infinity is Really Big

    Bill Kinney's Blog on Mathematics, Baby Rudin, Applications, Life, and Christian Faith

Other Math Blogs ( InActive )

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=== Under Review ===

  1. Dual spaces, dual vectors and dual basis

    ? Inactive

  2. Ken's Blog

    ? Inactive

  3. Understanding Riemann Hypothesis

    ? Inactive

  4. Continuous Everywhere but Differentiable Nowhere

    ? Inactive

Coding

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  1. Coding Horror
  2. Project Euler
  3. Codeforces
  4. GeeksforGeeks | A computer science portal for geeks
  5. Code Golf

Study Atmospherics

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  1. Hipstersound | create a positive atmosphere
  2. Landemy
  3. Motivating Noise

Podcasts

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Open Access only...

  1. My Favorite Theorem — Kevin Knudson

Math Competitions

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  1. Polish Mathematical Olympiad 2020
  2. International olympiad for school students in mathematics
  3. International Mathematical Olympiad
  4. pen-20070711.pdf
  5. International Mathematical Olympiad
  6. Online Results

Resources for Mathematics Teachers

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  1. Project Mathematics! Caltech

    Historical footage, probably the first Math video lectures ever. Produced by Tom Apostol.

  2. NRICH - Mathematics Resources for Teachers, Parents and Students to Enrich Learning
  3. Mathematics LibreTexts
  4. Absorb Learning
  5. Planet Calc

    A zoo of online calculators

  6. Problems in Mathematics

Wiskunde leraren NL

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  1. Overzicht voor VWO Leerlingen
  2. Gratis wiskunde uitlegvideo's - Wiskunde Academie
  3. Grammatica NL
  4. Zwartboek Rekenonderwijs
  5. Mastermath
  6. KWG

Prototypes for Self-study Math Plans

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This category is still in development

  1. Bethel University

Biohacking

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  1. Biohacking - The Beginner’s Guide (Top 7 Hacks!)

Cosmology

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  1. VizieR
  2. Stellarium Astronomy Software
  3. Science Mission Directorate
  4. Susskind's Cosmology Lectures
  5. David Butler's Cosmology Videos

Theoretical Physics

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  1. Einstein's Field Equations

    for beginners - 2 hour video

  2. A Project to Find the Fundamental Theory of Physics
  3. Mysteries of Modern Physics

    Lecture by Sean Carroll - Caltech

  4. LPPFusion

    Did the Big Bang really happen?

  5. Convert just about anything to anything else
  6. Convert-me.com

    Instant units conversion

Top 10 Video Lectures for Students

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In order of rating.

  1. Bill Kinney

    #1 - Full undergraduate program ( Kinney uses Mathematica )

  2. NPTEL PHASE 2 - Courses.

    #2 - A selection of undergraduate and graduate courses; what courses don't they have?

  3. James Cook

    #3 - Full undergraduate program ( Cook uses Sage )

  4. Michael Penn

    Mostly undergraduate Abstract Algebra and Elementary Number Theory

  5. mathdoctorbob.org

    Some Undergraduate + Graduate Topics

  6. MatheMagician

    TU Delft OCW for Engineering Students

Top 10 Expository Mathematics (Videos)

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==Under Review==

  1. Mathigon | World of Mathematics

    The Textbook of the Future.

  2. Numberphile

    Many beautiful short talks and demos about a math topic.

  3. 3Blue1Brown

    Recreational Math Short Videos

  4. Jim Fowler

    Excellent video "series" ;-) Fun to watch. Enjoy!

Other Video Lectures

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  1. Mathologer

    Short Topics; Note the 600K subscribers!

  2. Sonali Singh
  3. Eigenchris

    Courses on Tensor Analysis

  4. Zach Star
  5. Real Analysis course by Prof. Bill Kinney

    Follows Principles of Mathematical Analysis by Rudin

  6. Macauley

    Group Theory, Linear Algebra, Differential Equations

Pre-Calculus Videos

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  1. Brian McLogan

    College Math Videos

  2. PatrickJMT

    All Pre-Algebra

  3. Mario's Math Tutoring

Calculus Videos

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  1. Dr Chris Tisdell

    Short topic based videos.

  2. Professor Leonard

    Lecture Series on Calculus 1,2,3 and DE's.

  3. Winston Ou

    Undergraduate Calculus, Analysis, Linear Algebra

  4. Donny Lee

    Short videos on mostly calculus and analysis

  5. ProfRobBob

    Including Pre-Calculus

  6. Math 53: Multivariable Calculus (Fall 2009, UC Berkeley)

Videos Complex Analysis

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  1. Advanced Analysis

    S. Miller Math 389: Advanced Analysis 32 lectures

  2. Jensen's Formula and Hadamard Theorem
  3. Advanced Complex Analysis - Part 1 - YouTube
  4. Imaginary Numbers are Real
  5. Mandelbrot Set

    Talk from a Christian perspective

  6. Complex Analysis

    Complex Analysis by Prof. P. A. S. Sree

Number Theory Videos

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  1. Introduction to Analytic Number Theory

    Ram Murty lectures

  2. Modular Forms - Murty

    10 Lectures based on book 'Problems in Modular Forms'

  3. Introduction to Modular Forms - Part 1 of 8

    By Keith Conrad

  4. Rings of Integers in Quadratic and Cyclotomic Fields
  5. Introduction to Elliptic Curves

    CTNT 2016 - "Introduction to Elliptic Curves" by Alvaro Lozano-Robledo

  6. Computer Science - Riemann Hypothesis and its Applications - YouTube

Graduate Level Videos

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  1. Riemann Surfaces and Algebraic Curves

    48 video lectures

  2. Manifolds
  3. Manifolds, Diff. Geometry
  4. Daniel Chan

    Various grad videos, i.e. tensor products, manifolds.

  5. Group Representation Theory

    22 lectures

  6. Richard E. Borcherds

    Graduate Lecture Series

InBin Videos

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  1. Applied Category Theory
  2. Complexity Explorer

    Santa Fe Institute

  3. Elliptic Functions and Elliptic Integrals
  4. Group Theory in Physics

    59 Lectures

  5. Veritasium
  6. New Theories Reveal the Nature of Numbers

People

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People B

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  1. Carlo Beenakker

    Physics Professor - Leiden University

  2. Bruce C. Berndt

    Ramanujan expert

  3. Karim Belabas

    Prof. Math / Number Theory; cur. devl. of the PARI/GP number theory C library

  4. Prof. Bryan Birch FRS

    Considers one of Ramanujan's papers the most beautiful ever written.

  5. Richard Borcherds

    'Guy of the Monster Group', Fields Medalist and what not...

  6. User Dietrich Burde

    Algebraist

People C

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  1. Nicholas Camacho
  2. David Cardon's Home Page

    "Matrices related to Dirichlet Series" & works @ BYU.

  3. Dr Coleman's Home Page

    Sr. Lecturer ANT - Manchester ( Alan Turing Building )

  4. Keith Conrad
  5. User James S. Cook

    Mathematics Professor

  6. Jan van de Craats

People D

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  1. Harold G. Diamond

    Emeritus - Number Theorist

  2. Floris van Doorn
  3. Taylor Dupuy's Math Vlog
  4. Taylor Dupuy

People E

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  1. Jesse Elliott

    Analytic Number Theorist

  2. Thomas Ernst

    q-Calculus expert Uppsala University.

  3. Jan-Hendrik Evertse

People F

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  1. Eberhard Freitag

People G

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  1. Prof. Dr. Hugo de Garis
  2. Dr. Simone Gold

    Medical Doctor - Covid19

  3. Timothy Gowers

    Brit. and Sir.

  4. Andrew Granville's Home Page
  5. Mark Gross

    He would like you to know that he had his house renovated.

People H

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  1. Dr. K. P. Hart

    A mathematician ( who teaches at TU Delft ).

  2. Allen Hatcher

    Topologist

  3. Russ Herman

    Several book-length course notes

  4. AJ Hildebrand

    Professor Emeritus University of Illinois

  5. Alexander Hulpke

    GAP Expert

  6. Greg Hurst

    Mathematician, Programmer, Author "Apostol Solutions"

People K

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  1. User kglr

    Top 0.1% MMa Expert - Prefers to keep an air of mystery about them. - Who is HE/SHE?

  2. Bill Kinney

    Professor; Mathematica User

  3. Oliver Knill Homepage
  4. Alexander Konovalov

    GAP SCSCP/OpenMath

  5. Tom Koornwinder

    Special Functions sujet

  6. Dimitris Koukoulopoulos

    Associate Professor Montreal - Number Theorist

People L

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  1. H. W. Lenstra

    Computational Number Theorist - Professor emeritus Leiden University

  2. LMS Journals - Landau
  3. Lemhoff
  4. Daniel Lichtblau

    Mathematica Kernel programmer

  5. Steve Linton

    GAP SCSCP/OpenMath

  6. David Loeffler

    "Just don't believe everything you read on MathWorld."

People M

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  1. Lilit Martirosyan

    Algebraist.

  2. B.J. Meulenbroek - TU Delft OCW

    Professor Mathematics

  3. Steven J Miller

    Professor of Mathematics, Williams College - Number Theorist

  4. J.S. Milne

    Mathematician working in arithmetic geometry

  5. Hugh L. Montgomery

    Number Theorist of repute.

  6. Ram Murty

    Probably my favorite contemporary mathematician.

People N

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  1. Jesper Nederlof.

    Discrete math person; algorithmic stuff

  2. Will Nicholes
  3. Professor Frank Nijhoff

    Works at Leeds University

People P

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  1. Ilya Piatetski-Shapiro
  2. Paul Pollack

    Number Theorist.

  3. Jose William Porras

    Claims to have solved the Collatz conjecture

People R

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  1. Emily Riehl

    Why did she surrender to a safe topic like Category Theory?

People S

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  1. Alexander Schrijver = Lex Schrijver

    Combinatorics - KdV

  2. Maxie D. Schmidt -- Georgia Tech

    Number Theorist who likes combinatorics

  3. Richard Evan Schwartz

    Math prof. Brown University; Discover his comic books.

  4. Karen E. Smith

    More feminist than mathematician.

  5. Michael Somos

    Mathematician, known (to me) from his 'Elliptic Realm' notes

  6. Jose Sousa

    Number Theorist ( ? )

People T

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  1. Paul Taylor - Foundations of Mathematics and Computation
  2. Gérald Tenenbaum

    Mr. Big

  3. Audrey Terras

People V

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  1. User Sjoerd C. de Vries

    TNO, Rabo; EU/NL

  2. Bob Vaughan's Home Page
  3. Roland van der Veen

People W

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  1. DLMF: Peter L. Walker

    Editor DLMF Theta Functions, etc.

  2. Matthew Watkins
  3. Ian Wright
  4. Edward Witten

    Are theoretical physicists specialized in String Theory physicists or applied mathematicians?

People Y

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  1. Qiaochu Yuan

    Heavy Math.SE contributor

People Z

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  1. Don Zagier

    Number Theorist; List of his papers, books.

  2. Daniel Zwillinger

    Editor of Standard Mathematical Tables and Formulae

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