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HomepageA Little Bit About Me, My Various Interests,
and Links to My Online Activities
Jim Cullen


This page was created primarily as an extension of my LinkedIn page, to reference my various interests and some of the associated links to my online work. My main interests over the years have been genealogy, math, physics, electronics, and programming. If you are a visitor with just a casual interest - then Welcome! I hope you find something useful.


Obviously, from the title of my homepage, one of my primary interests is genealogy. My interest in genealogy and my family history began when I was just seventeen years old and has continued to this day. My male line ancestor is Richard Cullen (c1540-1580) of Upton, Nottinghamshire, in the midlands of England. Over the years, branches of the family have been located in far-flung places such as Australia, New Zealand, and South Africa.


My interest in genetic genealogy began with the use of Y-DNA testing, through FamilyTreeDNA, to identify the ancient origins of the line of Cullens in Upton, Nottinghamshire. Our distinctive DNA pattern originated about 5000 years ago in central Germany, probably in the area of the Upper Rhine. My interests in mathematics, statistics, genealogy, and programming, all came together in an effort to squeeze more information out of collections of related Y-DNA results. This work has been posted to the DNA page of my site. There are several older pages on the mathematics of haplotype populations: ASD Calculations, Error Estimates of ASD Calculations, Population Model for ASD Studies, and ASD Analysis of Simulated Populations.

Much of the mathematics and computer simulation for Y-STR mutations was worked out with Ken Nordtvedt, also a hobbyist in the field. We did one paper together, Extended Haplotype Estimation of Clade TMRCAs, which is also available in PDF format on my MediaFire account, HaploEst.pdf.

I've also written a JavaScript utility, the World Haplogroup Predictor, that predicts your Haplogroup or Haplo-'I' Subclade based on Y-STR DNA results. It will predict 143 haplogroups or subclades, with emphasis on the subclades of my own haplogroup 'I'.


There is a page on my own website, Mathematics Index Page, that lists some of my math interests that have been posted online. Main areas of interest are Fibonacci Numbers, Cullen Numbers, and Primality. You'll also find pages on Harmonic Sums and Pi Approximation From Monster Group Symmetries. Several of my own Pi estimations have been submitted to the Pi Estimation Contest Center.

Using PSLQ algorithms, I was able to discover, on December 5, 2010, a formula for π that is a Ramanujan-type summation for 1/πm. My formula is for the case of m=4, the highest currently known. The previous record ( for the case of m=3 ) was held by Boris Gourevitch (2002). You can read more about this discovery on Tito Piezas website, on his page for A Compilation of Ramanujan-Type Formulas for 1/πm.

Interest in mathematics naturally leads to computing. Some of my work that's available online includes the MS Excel VBA Prime Explorer, which allows you to explore the patterns in prime numbers by color-coding a grid according to divisibility or various other tests.

If you own an HP49,49G+, or 50G calculator, you could try the Generalized Fibonacci Library, posted to HPCalc. This program library is also available, already unzipped, from my MediaFire account, if you'd like to just read the help file ( GFib20Help.pdf ) to see an explanation of what the program does.

I've recently written the Scientific Calculator Comparison, which is a user manual and operational comparison between the Casio fx-115ES and the Sharp EL-W516. These calculators, both costing less than US $25, are able to work with vectors, matrices, complex numbers, and simultaneous equation solving. They also perform numerical summation, integration, and differentiation. You'll also find the link to my MediaFire account to download the PDFs of Volumes 1 and 2.


In addition to the programming items listed previously, there are also a couple 3D VRML applications posted to my website. You will need a VRML viewer, such as the Cortona 3D VRML viewer, in order to interact with VRML 3D worlds. Try my Laigen: VRML 2.0 Adventure Game. You can also play it in full screen mode. If you'd like to just relax in a tropical location, visit my second VRML creation, Padre Island. There are several little hidden features if you care to look for them.

I've written and submitted several mathematical programs for the Texas Instruments calculators. You can find a list of them on my TICalc profile page. Even if you don't own a TI-V200 or TI-89, the zip files also contain help files explaining what the programs do and how the mathematics behind them are used.

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