## ArXiv Preprints and unpublished

All ArXiv- Helmholtz free energy for finite abstract simplicial complexes
- Sphere geometry and invariants
- Fredholm determinants in topology
- On particles and Primes
- On Primes, Graphs and Cohomology
- Some experiments in number theory
- Goldbach for Gaussian, Hurwitz, Octavian and Eisenstein primes
- Gauss-Bonnet for Multi-linear valuations
- Universality for Barycentric subdivision
- Sard Theorem for Graph theory
- Graph spectrum of Barycentric refinements
- Jordan-Brower theorem for graphs
- The Kuenneth formula for graphs
- Graphs with Eulerian Unit spheres
- Coloring graphs using topology
- Characteristic Length and Clustering
- Curvature from Graph Colorings
- If Archimedes would have known functions
- Classical mathematical structures within topological graph theory
- A notion of graph homeomorphism
- The zeta function of circular graphs [ARXIV]
- Natural orbital networks [ARXIV]
- On quadratic orbital networks [ARXIV]
- Dynamically generated networks [ARXIV]
- Counting rooted trees [ARXIV]
- Illustrating Mathematics using 3D printers
- Isospectral Deformations of the Dirac operator
- The Dirac operator of a graph
- Cauchy-Binet for Pseudo determinants
- An integrable evolution equation in geometry
- Thinking like Archimedes with a 3D printer, with Elizabeth Slavkovsky.
- The McKean-Singer Formula in Graph Theory [PDF], Jan 6, 2013
- The Lusternik-Schnirelmann theorem for graphs, ArXiv, November 4, 2012.
- Selfsimilarity in the Birkhoff sum of the cotangent function [2012] , Project page.
- Brower fixed point for graph endomorphisms, [ArXiv] 2012
- An index formula for simple graphs [Arxiv] 2012
- On index expectation and curvature for networks [ArXiv] 2012
- A graph theoretical Poincare-Hopf Theorem [ArXiv] (2012)
- On the Dimension and Euler characteristic of random graphs [ArXiv] (2011)
- A graph theoretical Gauss-Bonnet-Chern Theorem [ArXiv] (2011). See project page
- With J. Ramirez: A structure from motion inequality [ArXiv] (2007),project page
- With J. Ramirez: Omnidirectional structure from motion problem [ArXiv] (2007) ,project page
- With J. Ramirez: On Ullman's Theorem in Computer Vision [ArXiv] (2007) ,project page
- A multivariable Chinese Reminder Theorem [PDF] (2005), update (2012), ArXiv, project page
- Fluctuation bounds for subharmonic functions [PDF], (2004),MP-ARC, Jan19, 2000
- With J. Carlson, A. Chi and M. Lezama: An artificial intelligence experiment in college math education [PDF] (2003)
- On Hausdorffs moment problem in higher dimensions [PDF] , (2000)
- An existence theorem for Vlasov gas dynamics in regions with moving boundaries, MP-ARC 00-38, Jan24, (2000)
- Random Schroedinger operators arising from lattice gauge fields [PDF] (2000)
- On the cohomology of discrete abelian group actions, MP-ARC, (2000)
- Inversion of the two dimensional Radon transformation by diagonalisation (1997)