• On the Universality of Comparability Grids for Measurement-Based Quantum Computation

  Jun 2026 · Ryan Batubara

  An undergraduate honors thesis presenting several approaches toward proving that comparability grids are universal resources for measurement-based quantum computation. Advised by Daniel Grier.

  Undergrad Honors Thesis Paper Slides

• Newton strata realization for hypersurfaces via explicit p-adic cohomology

  Feb 27, 2026 · Ryan Batubara , Jack J. Garzella , Yongyuan Huang , Maximus Mellberg

  Algorithms and GPU-accelerated software for computing zeta functions and Newton polygons of projective hypersurfaces over finite fields, together with new examples of varieties with specified Newton polygons.

  ANTS XVII Paper Preprint Code Slides

• K3 surfaces of any Artin–Mazur height over F₅ and F₇ via quasi-F-split singularities and GPU acceleration

  Feb 18, 2025 · Ryan Batubara , Jack J. Garzella , Alex Pan

  A fast algorithm for calculating the Artin–Mazur height of Calabi–Yau hypersurfaces, used to construct quartic K3 surfaces of every possible height over F₅ and F₇.

  In Progress Preprint Code