Contributors

Contributors

Rachel Traylor, Ph.D.

Founder and Lead Researcher
Bio
  • Ph.D. Mathematics, University of Texas at Arlington, 2016
  • M.S. Statistics, Georgia Institute of Technology, 2013
  • B.S. Applied Mathematics, Georgia Institute of Technology, 2011

Dr. Traylor is the founder and lead mathematician at the Math Citadel, and a Research Assistant Professor at Marquette University. She is a former Senior Research Scientist in Mathematics and Analytics for Dell EMC, producing 6 patents during her 2 year tenure.  She has also worked for Lockheed Martin Aeronautics as a DBA and quality control analyst. Her academic experience includes working as an instructor at 4 different institutions throughout the US, as well as pure and applied mathematics research focusing on probability theory, queueing, and reliability theory. She has given numerous lectures, webinars, seminars, and conference talks across the country in both academic settings and industrial conferences. Beyond her experience in the technology, aerospace, and manufacturing sectors, she has university training and background in logistics, operations research, and chemistry. 

Lectures, Seminars, and Conference Talks
Publications
  • Generalizing the Negative Binomial Distribution Via First-Kind Dependence | Traylor, R. |Journal of The Math Citadel
  • On Permuted First-Kind Dependence of Categorical Random Variables | Traylor, R. | Journal of The Math Citadel
  • A Generalized Geometric Distribution From Vertically Dependent Bernoulli Random Variables | Traylor, R. | Journal of The Math Citadel
  • Stochastic Reliability of a Server under a Random Workload| Traylor, R. | AACTO Vol 1, Issue 2

  • Vertical Dependency in Sequences of Categorical Random Variables| Traylor, R. and Hathcock, J. | AACTO Vol. 1, Issue 2

  • Reliability of a Clustered-Task Server Under Modulated Correlation | Traylor, R. & Korzeniowski, A. | International Journal of Statistics and Probability, Vol. 6, No. 2

  • A Generalized Multinomial Distribution from Dependent Categorical Random Variables | Traylor, R.​​​ | AACTO, Vol. 1. Issue 1, pp 1-15

  • Dynamic Reliability of a Cluster Server | Korzeniowski, A. & Traylor, R. | International Journal of Statistics and Probability, Vol. 5, No. 4, pp 45-51

  • ​​RAIDShield: Characterizing, Monitoring, and Proactively Protecting Against Disk Failures | Ma. A, et. al | ACM Transactions on Storage, Vol. 11, Issue 4

  • Stochastic Reliability Models for a General Server and Related Networks | Traylor, R. | Ph.D. Dissertation, University of Texas at Arlington
Courses Taught
  • Statistical Methods (Fall 2019) — Marquette University, Milwaukee, WI
  • Calculus 4 (Winter 2018) — Foothills College, Los Altos Hills, CA
  • Calculus 2 (Spring 2015) — University of Texas at Arlington, Arlington, TX
  • Statistical Inference (Fall 2014) – University of Texas at Arlington, Arlington, TX
  • Multivariate Data Analysis (Spring 2014) –University of Texas at Arlington, Arlington, TX
  • Elementary Statistical Analysis (Fall 2013, summer 2014) — University of Texas at Arlington, Arlington, TX
  • Calculus 1-3 (Fall 2008 – Spring 2011) — Georgia Institute of Technology, Atlanta, GA

 

 

Jason Hathcock

Researcher and Designer
Bio
  • B.S. Mathematics, Minor Chemistry, University of Texas at Arlington, 2013

Jason Hathcock studied mathematics and chemistry at the University of Texas at Arlington, receiving an Honors B.S. in Mathematics with a minor in Chemistry. He continued to study mathematics under Dr. Andrzej Korzeniowski at the graduate level, with an emphasis in applied probability. He produces the photographs, and musical numbers for the videos of the Research Cortex, and assists Dr. Traylor in her research endeavors.

His hobbies include composition for the guitar, beautiful typesetting, and quietly critiquing film.

Publications
  • Vertical Dependency Structures in Sequences of Categorical Random Variables | Traylor, R. and Hathcock, J. | AACTO Vol. 1. Issue 2

Research Interests and Specializations
Probability theory
92%
Typesetting
100%
LaTex
100%

Jonathan Johnson

Bio
  • M.S. Mathematics, University of Texas at Arlington
  • B.S. Mathematics, University of Texas at Dallas

I am a mathematics PhD student at the University of Texas at Austin. I love to learn and study all kinds of math, but mostly, I research knot theory and 3-dimensional manifolds. I received B.S. in mathematics from the University of Texas at Dallas, and a M.S. in mathematics from the University of Texas at Arlington. When I’m not studying math, I like to design board games and play sports.

Publications
  • Summation Chains of Sequences Part 3: Sequence Chains from Linear Functions. AACTO, Vol. 1, Issue 2
  • Summation Chains of Sequences Part 2: Relationships between Sequences via Summation Chains. AACTO, Vol. 1, Issue 2
  • Summation Chains of Sequences Part 1: Introduction, Generation, and Key Definitions. AACTO, Vol 1, Issue 1
Kevin Gibson

Kevin Gibson

Bio
  • M.S. Computer Science, University of Toronto
  • B.ASc. Mathematics and Engineering, Queen’s University, Kingston

Kevin is a software engineer at Microsoft, working on augmented and virtual reality, focusing on surface reconstruction. In the past I have done work in soft-body simulation, and am interested in any math that can be used in computer graphics generally. In particular, I am currently looking at discrete exterior calculus and perturbation methods for solving differential equations. In my spare time, I play guitar, play video games, and is learning to bake bread.