Research

Preprints:

• Fourier coefficients and algebraic cusp forms on U(2,n) (with Finley McGlade and Pan Yan)

• Irregular loci in the Emerton-Gee stack (with Rebecca Bellovin, Neelima Borade, Kalyani Kansal, Heejong Lee, Brandon Levin, David Savitt, and Hanneke Wiersema)

• The statement of Mochizuki's corollary 3.12, initial theta data, and the first two indeterminacies (with Taylor Dupuy)

• Probabilistic Szpiro, baby Szpiro, and explicit Szpiro from Mochizuki's corollary 3.12 (with Taylor Dupuy)

In progress:

• The decomposable locus on the Picard modular surface

• The basic theory of Clifford-Bianchi groups for hyperbolic n-space (with Taylor Dupuy, Colin Ingalls, and Adam Logan)

• Ford spheres in hyperbolic n-spaces via Clifford algebras (with Spencer Backman, Taylor Dupuy, and Veronika Potter)

Physics publications:

• Superasymptotic integration and the analytic principal value (with Eric Galapon), Samahang Pisika ng Pilipinas Physics Congress 2016

• Extracting accurate numerical approximations from divergent integrals via "superasymptotic" integration (with Eric Galapon and Raiseth John Fajardo ), Samahang Pisika ng Pilipinas Physics Congress 2015