Shelvean Kapita

Intrinsic Finite Elements for PDEs and Spectra on Riemannian Manifolds.

Conformal Bernstein–Bézier Splines on Compact Two-Manifolds of Positive Genus: Construction, Algorithm, and Experiments.

Bernstein Constraint Complexes for Multivariate Splines on Triangulated Surfaces.

Conformal Spherical Splines for the Laplace–Beltrami Operator on Genus-Zero Surfaces: Construction, Algorithm, and Experiments.

Separating Basis and Operator Conditioning in Plane-Wave DG and the Ultra-Weak Variational Formulation.

Direction-Adaptive Plane-Wave Discontinuous Galerkin Methods for the Helmholtz Equation. Code: github.com/shelvean/d-pwdg.

April 30, 2026 · 11:15 a.m. · Rudder Tower

I gave a talk, Building Trust Through Transparency: Teaching mathematics in the browser - no black boxes, no installs, no barriers, at the TTLC 2026 conference, whose theme this year was Teaching and Learning with Integrity. The two-day event featured a keynote and workshop by Tricia Bertram Gallant, participant-driven plenary sessions, concurrent presentations by Texas A&M faculty, and a showcase of recent recipients of the university's highest teaching excellence honors.

March 31, 2026

Awarded a Provost OER Grant from the Provost's Office and University Libraries for creating an open-access Math 308 (Differential Equations) question bank, supporting free and equitable course materials for students.