Mathematician · Quantum algorithms researcher

Quantum computing
for differential equations.

I develop and analyze quantum algorithms for mathematical models in physics and fluid dynamics.

I am an ASEE Postdoctoral Research Fellow at the U.S. Naval Research Laboratory in Monterey, California. My work connects quantum algorithms, numerical analysis, and nonlinear partial differential equations.

Explore my research Résumé (PDF)Academic CV (PDF)

Thomas Hogancamp
Monterey, California

Research focus

From mathematical structure to quantum circuits.

Quantum algorithms

Matrix decompositions, block encoding, and quantum data loading for discretized differential equations.

Scientific computing

Resource estimates and numerical analysis for algorithms motivated by Poisson problems and fluid dynamics.

Nonlinear analysis

Bifurcation theory and elliptic PDEs, with applications in nonlinear elasticity and gas dynamics.

Selected work

A decomposition for the Laplace operator

Our 2026 paper in Physical Review A develops linear-combination-of-unitaries decompositions for Poisson problems on rectangular domains.

Read the paper

Background

Mathematics, research, and teaching.

I earned my PhD in Mathematics from the University of Missouri–Columbia in 2023 and my BS in Mathematics from the University of Missouri–St. Louis in 2017. My dissertation explored nonlinear phenomena beyond the scope of linear and perturbative theories.

Teaching and mathematical exposition remain important to me. I have taught at the University of Missouri–Columbia and St. Louis Community College.

Teaching & outreach

Get in touch

Research connections and opportunities

I welcome conversations about quantum algorithms, scientific computing, and related research opportunities.

thogancamp@gmail.comLinkedIn