Exact Numerics for Many-Body Systems
What computable effects do particles have on each other if there are simply too many of them for computers to handle separately, and if their properties are lost when we “smooth them out” too much? This is subject of my ongoing PhD at the German Aerospace Center (DLR) and the University of Saarbrücken where I specialize in the development of methods and algorithms for long-range interacting classical and quantum lattices.
My research revolves around the Epstein zeta function, a special function with applications to many-body lattice systems with many exciting properties. It is a broad generalization of the famous Riemann zeta function, whose zeros are the subject of one of the Millennium Problems.
Recent Posts
On the transformation of crystals between close-packed lattices with near-identical lattice sums.
Analytical Differentiation is Easy, Numerical Differentiation is Hard
On the development of an algorithm for absurdly high-order Epstein zeta derivatives.
Taste Might Gain Significance in Mathematical Research Due to AI
OpenAI’s announcement of their solution of the unit distance problem and how this might lead to an emphasis on taste over volume in mathematical research, the latter being within reach of LLMs.
About Me
When I’m done crunching numbers, I like to go dancing or bouldering. I’m especially thankful for my roommates, who accept me playing piano late into the evening. If there’s still time on the weekend, you may find me playing board games with my friends.
Get in Contact
You can reach me at contact@jkhartlaub.com.