### CSU Math Links

### Former Departments

### Tables of Knot Invariants I Maintain

- Stick Number — The best stick number upper bounds I know of for all prime knots through 10 crossings. See also all prime knots through 16 crossings for which the exact stick number is known.
- Superbridge Index — The best superbridge index bounds I know of for all prime knots through 10 crossings. See also all prime knots through 16 crossings for which the exact superbridge index is known.

### Mathematical Software I Use

- KnotPlot — Self-described as “the World’s most elaborate knotting software”.
- Magma — Computational algebra system.
- Mathematica — Powerful symbolic and numerical computing environment.
- plcurve — Ted Ashton, Jason Cantarella, Harrison Chapman, and Tom Eddy’s C library for handling polygonal space curves.
- pyknotid — Python modules for identifying knots.
- Regina — Software for low-dimensional topology.
- SageMath — Free, open-source mathematics software system based on Python.
- SnapPy — Python-based software for studying knots, links, and hyperbolic 3-manifolds.
- stick-knot-gen — Tom Eddy’s Python scripts for generating and identifying random stick knots.
- Wirt_Hm_Suite — Homomorphisms from knot groups to Coxeter groups.

### Online Math Resources

- arXiv — The math preprint server.
- DLMF — The NIST Digital Library of Mathematical Functions.
- ETC — Clark Kimberling’s Encyclopedia of Triangle Centers.
- functions.wolfram.com — Wolfram’s mathematical functions site.
- Google Scholar — Google’s scholarly works-oriented search and profiles.
- Inverse Symbolic Calculator — Very useful for turning decimal numbers into exact expressions.
- Knot Atlas — Important resource for knot and link theory.
- KnotInfo — Definitive table of knot invariants.
- Mathematics Genealogy Project — I’m a mathematical descendent of Leibniz, Euler, Gauß, Dirichlet, and many others.
- MathOverflow — A place to ask questions.
- MathSciNet —
*Mathematical Reviews*and other useful stuff. - Mathworld — Wolfram’s math encyclopedia.
- Michael Shamos’ Catalog of Real Numbers — Nice complement to the Inverse Symbolic Calculator.
- Oberwolfach Photo Collection — Extensive collection of current and historical photos of mathematicians.
- OEIS — The Online Encyclopedia of Integer Sequences.
- Wikipedia — Surprisingly reliable for mathematical topics.