In the Linera protocol, each contract call previously instantiated a fresh WebAssembly runtime and re-loaded the contract module, paying the module-instantiation and JIT cost on every invocation. This pull request persists the Wasm execution instances across calls, reusing the already-compiled and initialized runtime instead of recreating it. On realistic workloads this yields roughly a 3× speedup of the execution layer.
I implemented Ethereum Virtual Machine (EVM) support within the Linera protocol, allowing Ethereum-based applications to run on microchains. The implementation supports complex protocols like Morpho using specialized precompiles.
We proposed a new linear programming method for smoothing sea depths in terrain-following oceanic models. This approach performs significantly better than existing methods by maintaining stability while staying near the real bathymetry.
I coupled the circulation model ROMS with the wave model WWM to study their interactions. This coupling revealed significant effects on wave height in regions like the Bura jet and the Istrian coast.
I established the phase diagram for the bulk Ginzburg-Landau model of superconductivity using complex hermitian geometry. This included establishing the Abrikosov asymptotic expansion for minimal energy states.
We classified elementary elliptic (R,q)-polycycles to create an efficient enumeration technique. This method was successfully applied to the classification and study of face-regular spheres and tori.
We studied the structure of zigzags and central circuits in 3- and 4-valent plane graphs. This led to classification results for 2-connected graphs and new insights into the Goldberg-Coxeter construction.
All simplicial n-complexes with specific face containment properties have been classified. This work provides a classification based on the partitions of set elements related to the dimension of the complex.
Space fullerenes are tilings of Euclidean space by fullerenes, occurring in metallurgy, crystallography, and optimization. I performed the enumeration of small space fullerenes and new Frank-Kasper structures.
I developed highly efficient algorithms for computing the dual description of polytopes with symmetry. This led to the classification of 10,916 perfect forms in dimension 8, a feat previously deemed impossible.
The Wythoff construction was used to determine L1-embeddable polytopes derived from regular polytopes. It was also applied to compute the third homology group of the Mathieu group M24.
We investigated periodic cube packings and tilings in R^n, proving extensibility theorems for dense packings. Our research provides lower bounds on non-extendible packings and explores their continuous parametrization.
We solved the lattice packing problem in dimension 9 using a highly optimized implementation of Voronoi's algorithm. This work determined the exact value of the Hermite constant γ9 and classified all extreme lattices in this dimension.
We designed specific algorithms for enumerating Delaunay polytopes in lattices under symmetry. These polytopes form tessellations dual to Voronoi partitions, which are essential in computational geometry and physics.
Building on Fedorov's 1885 classification of 3D lattice Delaunay polytopes, I enumerated them in dimension 6. This research identified over 6,000 distinct combinatorial types.
Perfect Delaunay polytopes correspond to the extreme rays of the Erdahl polyhedral cone. I introduced combinatorial optimization techniques to find extreme Delaunay polytopes in dimensions 7 and 8.
Using semidefinite programming, we optimized covering densities over L-type domains. This allowed us to find record lattice coverings in dimensions 9 through 15 and classify thin algebraic number fields.