Research

Information Theory and Biology (ITBio)

With training and multiple degrees in the areas of biomedical and electrical engineering from Johns Hopkins University, I’ve spent many years reading and doing research into the application of information theory to biology. Towards this end, I maintain a large number of resources on the intersection of the two topics. As part of this, I also look at areas like complexity, thermodynamics, statistical mechanics, artificial life, evolution, genetics, and a host of others including offshoots like economics.

Abstract Mathematics

To serve my interests in engineering and biology, I spend quite a lot of time reading, writing, and doing advanced abstract mathematics. Often I think of myself as a mathematician by way of being a recovering engineer. My experience extends to many of the following topics:

  • Abstract Algebra
    • Group Theory
    • Field Theory
    • Galois Theory
    • Group Representations
    • Algebraic Number Theory
  • Analysis
    • Real Analysis
    • Complex Analysis
    • Measure Theory
    • Functional Analysis
    • Calculus on Manifolds
    • Differential Geometry
    • Lie Groups and Lie Algebras
  • Set Theory
  • Combinatorics
  • Geometry
    • Differential Geometry
  • Topology
    • Algebraic Topology
  • Number Theory
    • Integer Partitions
    • p-Adic Analysis

Miscellaneous topics

A strong believer of being a lifetime learner, I also dabble recreationally in some of the following areas:

  • History
  • Big History
  • Music
  • Mnemonics
  • Antiquity (particularly philosophy and religion)
  • Linguistics