Faculty Profiles

White, Ryan

Assistant Professor, Mathematical Sciences

Personal Overview

I am currently spending my days teaching mathematics and furthering my academic research within my current area as well as venturing outward to new frontiers, all the while using my mathematical skills to solve interesting problems in consulting engagements with various private companies.

Educational Background

Ph.D. Applied Mathematics - Florida Institute of Technology, 2015

M.S. Applied Mathematics - Florida Institute of Technology, 2012

B.S. Mathematics - Chadron State College, 2008

Current Courses (Fall 2020)

Professional Experience

Assistant Professor,  Florida Institute of Technology, 2019-present

• Research in probability and stochastic processes
  
  
• Research of stochastic models of cellular biology for accelerated cell growth
  
  
• Study of nonlinear potential theory and regularity for parabolic PDEs

Instructor, Florida Institute of Technology, 2015-2019

• Several contracts with educational publishers to design student projects, assignments, solutions, and write a textbook (Learning Discrete Mathematics in progress).
  
  
• Contract work for Neal Analytics and Microsoft, modeling groundwater flow with PDEs, wrote Microsoft cloud-ready Python simulations.
  
  
• Contract work for an investment company, building efficient algorithms (order O(n²)) and methodology for real-time static portfolio replication with a transaction fee budget.
  
  
• iOS (iPhone/iPad) app development for calculation of various rare (to iOS) statistical functions via efficient numerical techniques (smart interpolation, Fourier transforms, complex integration) and lightweight data visualization with an original graphing library.
  
  
• Contract work for Spencer Trask Collaborative Innovation, developed scoring, ranking, vote-weighting algorithms and methodology, statistical analysis of social network patterns to create a dynamic vote-weighting system for crowdsourced venture capital decisions.

Graduate Student Assistant, Florida Institute of Technology, 2013-2015

• Research in probability theory, stochastic analysis, random walks, and their application to strategic defense of large-scale communication networks
  
  
• Teaching undergraduate recitation classes for Calculus 1-3 and Differential Equations/Linear Algebra, and general math tutoring

Spencer Trask Collaborative Innovations, Intern with VenCorps: Community Powered Capital, Aug 2008 - Nov 2008

Current Research

I am currently researching stochastic processes, particularly random walks and more general independent and stationary increment processes, queueing theory, stochastic measure theory as well as the mathematics of accelerated cell growth and venturing into some topics in nonlinear PDEs and machine learning.

Selected Publications

• R. T. White. On the Exits of Oscillating Random Walks. [Manuscript in preparation]

• R. T. White. Modeling the Reliability of Stochastic Networks with Empirically Distributed Failures. [Manuscript in preparation]

• R. T. White. On the Exits of Multidimensional Renewal Processes from n-dimensional Hyper-rectangles. [Manuscript in preparation]

• R. T. White. On the Resilience of Weighted Stochastic Networks. [Manuscript in preparation]

• R. T. White. On the Exiting Patterns of Sums of Independent Random Vectors with an Application to Stochastic Networks. [Submitted 2020]

• J. H. Dshalalow, K. Nandyose, and R. T. White. Time-dependent analysis of stochastic games of three players with applications. [Submitted 2020]

• R. T. White and J. H. Dshalalow (2019). Characterizations of Random Walks on Random Lattices and their Ramifications. Stochastic Analysis and Applications. https://doi.org/10.1080/07362994.2019.1694417

• J. H. Dshalalow, A. Merie, and R. T. White (2019). Fluctuation Analysis in Parallel Queues with Hysteretic Control. Methodology and Computing in Applied Probability. https://doi.org/10.1007/s11009-019-09701-z

• J. H. Dshalalow, K. Iwezulu, and R. T. White (2016). Discrete Operational Calculus in Delayed Stochastic Games. Neural, Parallel, and Scientific Computations, 24: 55-64. https://arxiv.org/abs/1901.07178

• J. H. Dshalalow and R. T. White (2016). Time Sensitive Analysis of Independent and Stationary Increment Processes. Journal of Mathematical Analysis and Applications. https://doi.org/10.1016/j.jmaa.2016.05.063

• J. H. Dshalalow and R. T. White (2014). On Strategic Defense in Stochastic Networks. Stochastic Analysis and Applications, 32:3, 365-396. https://doi.org/10.1080/07362994.2013.877351

• J. H. Dshalalow and R. T. White (2013). On Reliability of Stochastic Networks. Neural, Parallel, and Scientific Computations, 21, 141-160. https://arxiv.org/abs/1901.07137

Dissertation

• Random Walks on Random Lattices and Their Applications to Strategic Network Defense, Ph.D. Dissertation, Florida Institute of Technology (2015)

Academic Conference Talks