Christopher Lee-Jenkins is a Washington State-based academic with a uniquely varied background. Originally from Wyoming, his journey has taken him across the United States as a student, teacher, and perpetual seeker of knowledge. With a PhD in mathematics earned in 2009, Christopher's dissertation delved into generalizations of Hamiltonian dynamics in four dimensions. His teaching career has spanned multiple academic levels and institutions, culminating in a tenured position that he left to explore broader vocations while maintaining deep connections with his students, now both in person and online.

Christopher's research is a fascinating blend of mathematics and natural phenomena. He is particularly interested in chain complexes, which describe interactions across different system levels, often conceptualized as dimensions. Using Morse Theory and Graph Theory, he investigates equilibria in both smooth and discrete dynamical systems. His work spans the realms of pure mathematics and biodynamics, including studies on ecosystems and the evolution of conscious experiences.

A lifelong fascination with esotericism and ufology was sparked by mysterious childhood experiences, including visions and encounters that defied conventional explanation. These formative events inspired Christopher to explore various perspectives on these phenomena in his research.

In his writings, Christopher examines topics such as the emergence of gravitation from exotic four-dimensional spacetimes and other anomalous phenomena in math and physics. He enjoys unraveling mathematical curiosities like the Banach-Tarski paradox, inviting others to explore the stranger corners of mathematical thought.

Beyond his academic pursuits, Christopher is an accomplished musician. He is currently touring and releasing albums with Portland's Kvasir and Wyoming's One Good Eye, and he has solo projects like Leviathan Rise, with more music on the horizon.

Christopher advocates for a shift from mere knowledge acquisition to the cultivation of wisdom. He emphasizes understanding the "whys" of our systems and analyzing their meta-properties to guide us toward innovative thinking. Through his teaching, research, and writing, Christopher aims to share his boundless curiosity, helping others see the world through unique and surprising lenses.

Explore the mesmerizing world of nonlinear wave interactions, where solitons collide and superpose in a cosmic ballet.

The roots of polynomials are plotted in the complex plane, revealing compelling and beutiful patterns

This demonstration visualizes Pascal's Triangle and explores its diagonal sums, revealing a surprising connection tot he Fibonacci sequence.

This demonstration visualizes Floyd’s Triangle and explores its diagonal sums, revealing intriguing number sequences like structured tetragonal anti-prism numbers.

A gallery of Mandlebrot and Julia sets

Explore the Fourier transform of interference patterns with high-resolution visualizations of spectral compositions.

Interactively rotate a dot grid and observe interference patterns as transformations create dynamic visual effects.

A graphical representation of modular multiplication, revealing hidden structures in number theory through dynamic circular patterns.

Dynamically adjust mean and standard deviation to see how the normal distribution curve changes in real time.

Follow an interactive timeline exploring the history of paleontology, the evolution of dinosaurs, and the development of plate tectonics.

This article models brain dynamics using a geometric framework, treating brainwaves as the dynamics of coupled oscillators on a torus with an additional phase delay capturing awareness.

Examining redundancy in directed graphs, this article develops a filtered Shannon entropy measure to quantify alternative pathways in networks, with applications to ecological food webs.

This article explores a geometric framework in which quantum states are encoded in the topology of a two-torus, bridging quantum encoding with classical electromechanical dynamics.

Investigating the connection between quantum and classical mechanics in integrable systems, this article explores how quantum states project into classical dynamics via symplectization.

This paper explores how topological and dynamical structures interact within food web graphs, providing insight into energy flow and network stability.

This work investigates the transition from quantum to classical mechanics in integrable systems, emphasizing the role of symplectic and contact geometry.

This paper introduces a novel entropy-based framework to quantify redundancy in food web graphs, revealing insights into ecological network resilience.