People

People

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
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Typesetting
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LaTex
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Matt Kukla

Researcher
Bio

Matt Kukla is an undergraduate mathematics student at the University of Maryland, interested in (higher) category theory, algebraic geometry/topology, and formal logic, as well as applications of these to other fields such as computer science, physics, and philosophy. He previously interned at Patton Electronics, where he assisted in developing a Linux-based operating systems for a prototype VDSL router. 

When not thinking about mathematics, he can be found befriending the local avian life or trifling with electronics.