PhD Defense
Presentation (February 16, 2012)

**The problems we face cannot be
solved at the same level of thinking we were at when we created them Albert
Einstein**

**"Who we are today is a reflection of our actions from the
past"- Dr. David Chen, Professor California State University, Fullerton
"Greatness is 1% final product, and 99% passion in the pursuit of
completing it"- William Welbourn, Jr.
"Mathematics is the queen of the sciences and number theory is the queen
of mathematics"- Carl Friedrich Gauss
"The excitement that a gambler feels when making a bet is equal to the
amount he might win times the probability of winning it"- Blaise Pascal**

MATHEMATICS/STATISTICS/GENETICS
BACKGROUND

COMPUTATIONAL ALGORITHM
DEVELOPED 3/22/2008

My [highly addictive] hobby: customizing
my 2012 Honda Civic Si

Some information about myself:

- Affiliations
- Member, Utah Chapter of the American Statistical Association (ASA)
- Member, Mathematical Association of America (MAA)
- Member, USC Chapter of the Honor Society of Phi Kappa Phi (PKP)
- Member, USU Chapter of the Golden Key International Honour Society (GKIHS)
- International Scholar Laureate Program (ISLP) of GKIHS

- Doctor
of Philosophy in Statistics (Emphasis: Statistical Genetics), February
2012, Honors Distinction
- Utah State
University
- USU Grade Point Average (GPA): 4.0/4.0
- Graduate Instructor, Math 1050: College Algebra,
August 2007 May 2008
- Passed PhD Qualifying Exam, May 2008
- Graduate Instructor, Stat 2000: Statistical
Methods, August 2008 May 2009
- SAS/R Lab Instructor, Stat 5100/5200: Linear
Regression and Time Series/Experimental Designs, Aug 2009 Dec 2009; Aug
2010 Dec 2010
- Recitation Leader, Stat 3000 (x3 Sections):
Statistics for Scientists, January 2010 May 2010
- Instructor, Stat 3000: Statistics for
Scientists, Summer 2010, Summer 2011, and Spring 2012
- Research Assistant, January 2009 May 2009:
Database Management of a genetic data warehouse (287 participants;
660,918 SNPs; ~ 8 gigabytes)
- Research Assistant, June 2009 July 2009: Data
Management of a genetic data warehouse (11 participants; 1,145,510 SNPs;
~ 3 gigabytes)
- Research Assistant, February 2010 February
2012: Analyzing GWAS data set (2,035 participants; 769,672 SNPs; ~ 6
gigabytes of text files)
- Elected to the USU Chapter of Golden Key International Honour Society, February 2009
- Research Writing Award, Department of
Mathematics and Statistics, April 17, 2009
- Nominated to the International Scholar Laureate
Program of GKIHS, December 2009
- Passed PhD Comprehensive Exam, March 2010
- Technology Expert Award, Department of
Mathematics and Statistics, April 19, 2010
- Successfully Defended Doctoral Dissertation
Proposal and Advanced to Candidacy, May 3, 2011
- Passed PhD Defense, February 16, 2012

- Master
of Science in Biostatistics, May 2006, Honors Distinction
- University of
Southern California
- USC GPA: 3.94/4.00
- Elected to the USC Chapter of the Phi Kappa Phi Honor Society, May 2006

- Bachelor
of Arts in Mathematics with an emphasis in Probability and Statistics,
January 2001
- California
State University, Fullerton
- CSUF GPA 3.71/4.00 with an Upper Division
Mathematics GPA of 4.0/4.0

- Summited
Mount Whitney (EL. 14,497.61 FT.), Sierra Nevada Mountain Range
- August 23, 1996 Along with my father, William Welbourn
- August 6, 1998 Along with my Aunt, Patti Welbourn; her friend, Cindy; my brother in-law, Rob;
and my friend, Donovan
- July 26, 1999 Along with my Aunt, Patti Welbourn
- Summited
Half Dome (EL. 8,842 FT.), Yosemite National Park
- July 22, 2000 Along with my Aunt and Uncle,
Patti and Eddie Welbourn

- Computer
System, Built 1/21/2009:
- Motherboard: Foxconn BloodRage,
Intel X58 Chipset
- CPU: Intel
Core i7 920 2.66GHZ 8MB L3 Cache 4.8GT/s QPI Quad Core, Supporting
Hyper-Threading (i.e., handles 8+ threads simultaneously)
- Memory: OCZ 3GB DDR3 1600MHZ
- Hard Drives: Seagate
**SATA II 4 x 250GB RAID 0**; 120GB Corsair SSD - OS: Windows XP Home/Windows Vista Home
Premium/Windows 7 RC - Desktop (Windows 7, Home Premium 64bit Laptop)
- Graphics: EVGA NVIDIA GeForce GTX 470 Fermi 1.2GB (x2)
in SLI mode - Cluster of GPUs (May 2010)
- Monitor: ASUS 24" LCD
- Sound: SoundBlaster X-Fi Fatal1ty Pro
Series
- Whetstone Benchmarks show a 180% increase in integer/floating
point arithmetic over my prior Intel Core 2 Duo E6750 System

- Programming:
- CUDA for C (CUDA
Toolkit 4.0); GPU clustering on two GTX 470 graphics cards
- C,
Emphasis on Multi-Threaded Applications Computational timing
comparison of a single thread of R to multiple threads of C
- R (Version
2.14.1)
- Bioconductor
Project, Analysis of Genomic Data
- Database Management, Interfacing R with the SQLite RDBMS Example code,
working with a genetic database, warehousing ~1.2 million SNPs
- Graphical User Interface (GUI) for OSA Linear Regression
Methodology; Logistic
Regression Methodology
- SAS (9.1.3)
- Mathematica (4.0)
- LaTeX
- LEd Editor
- Compiler
- Beamer Class for professional looking
presentations Example

Past Academic News

Undergraduate

- May 26, 2000- Received my first ever perfect score (overall course score) in a mathematics course (Math 350A- Advanced Calculus). As a result I was the top ranked undergraduate in the course.

· May 26, 2000- Ranked #1 in Math 375- Discrete Dynamical Systems and Chaos with an overall course score of 96%.

· January 2, 2001- Conferral Date for the Bachelor of Arts Degree in Mathematics.

Graduate (Master of Science)

· March 2004 - Admitted to the Master's Program in Biostatistics at the Los Angeles Campus of the University of California System. Concurrently, admitted to the Master's Program in Biostatistics at the University of Southern California.

· May 2004 - Began my Graduate Studies at USC.

· May 2005 - Began my Master's Thesis Research - Topic: Ordered Subset Analysis (OSA).

· April 2006 - Successfully defended my Master's Thesis and completed the requirements for the Degree, Master of Science in Biostatistics.

· May 10, 2006 - Elected to the USC Chapter of the Honor Society of Phi Kappa Phi.

· May 12, 2006 - Conferral Date for the Master of Science Degree in Biostatistics.

Graduate (Doctoral)

· August 2007 - Began my Graduate Studies at USU. Teaching Section 11 of Math 1050, College Algebra.

· February 2008 - Revising MS Thesis and subsequent papers for publication.

· May 2008 - Overall Course Score of 100.5% in Mathematical Statistics II (Stat 6720).

· May 2008 - Passed the Mathematical Statistics PhD Qualifying Exam.

· December 1, 2008 Elected to the USU Chapter of the Golden Key International Honour Society.

· March 3, 2010 Passed the PhD Comprehensive Exam

· May 3, 2011 Passed PhD Dissertation Proposal Defense, Advanced to Candidacy

· February 16, 2012 Passed PhD Defense

Research Interests

- Parallel
Computing; GPU Statistical Computing; GPU clustering.
- Genome-Wide
Association Studies
- Gene-Environment
Interaction
- CUDA
paper for maxT MHT procedure December 2009 Abstract
- CUDA
paper for clustering GPUs March 2010 Abstract
- Doctoral Dissertation March 2012
- Masters Thesis May
2006

Links to Other Pages

Probability Challenge Problems

A Special
Outcome From My Math 375 Group Project

Math 375 Project Pictures

Page Last Updated July 16, 2014