Daniel Rayor Hast

(they/them)

I am a postdoc with the Simons Collaboration on Arithmetic Geometry, Number Theory, and Computation in the Department of Mathematics & Statistics at Boston University. I'm currently working in arithmetic geometry, with a focus on p-adic approaches to rational points on varieties, as well as post-quantum cryptography.

Research

A study of error floor behavior in QC-MDPC codes (with Sarah Arpin, Tyler Raven Billingsley, Jun Bo Lau, Ray Perlner, and Angela Robinson), in Post-Quantum Cryptography, PQCrypto 2022, Lecture Notes in Computer Science, vol. 13512. DOI: 10.1007/978-3-031-17234-2_5; IACR ePrint: 2022/1043.
Explicit two-cover descent for genus 2 curves (in collection ANTS XV), Research in Number Theory vol. 8 (2022), no. 67. DOI: 10.1007/s40993-022-00375-0; arXiv:2009.10313 [math.NT].
Functional transcendence for the unipotent Albanese map, Algebra & Number Theory vol. 15 (2021), no. 6, pp. 1565–1580. DOI: 10.2140/ant.2021.15.1565; arXiv:1911.00587 [math.NT].
Rational points on solvable curves over Q via non-abelian Chabauty (with Jordan S. Ellenberg), Int. Math. Res. Not. 2021. DOI: 10.1093/imrn/rnab141; arXiv:1706.00525 [math.NT].
Higher moments of arithmetic functions in short intervals: a geometric perspective (with Vlad Matei), Int. Math. Res. Not. 2019, no. 21, pp. 6554–6584. DOI: 10.1093/imrn/rnx310; arXiv:1604.02067 [math.NT].
Rational points and unipotent fundamental groups (Ph.D. thesis, University of Wisconsin–Madison, June 2018).

Email:
Mailing address:: Department of Mathematics & Statistics
Boston University
111 Cummington Mall
Boston, MA 02215