Past RNT

RNT 1

Projects Descriptions from RNT 1

Articles from RNT 1

• "The completed standard L-function of modular forms on G2" (Fatma Çiçek, Giuliana Davidoff, Sarah Dijols, Trajan Hammonds, Aaron Pollack, Manami Roy). Mathematische Zeitschrift (2022) published article 

• "Categorifying quadratic zeta functions" (Jon Aycock, Andrew Kobin). arXiv

• "Categorifying Zeta Functions of Hyperelliptic Curves" (Jon Aycock, Andrew Kobin). arXiv

• "Minimum Distance and Parameter Ranges of Locally Recoverable Codes with Availability from Fiber Products of Curves" (María Chara, Sam Kottler, Beth Malmskog, Bianca Thompson, Mckenzie West). Designs, Codes and Cryptography (2023) published article   arXiv

• "Prime isogenous discriminant twins over number fields" (Alexander J. Barrios, Alyson Deines, Maila Hallare, Piper H, and Manami Roy). arXiv. 

• "Computing supersingular endomorphism rings using inseparable endomorphisms" (Jenny Fuselier, Annamaria Iezzi, Mark Kozek, Travis Morrison, Changningphaabi Namoijam) arXiv 

RNT 2

Project Descriptions from RNT 2

Articles from RNT 2

• "A Study of Error Floor Behavior in QC-MDPC Codes" (Sarah Arpin, Tyler Raven Billingsley, Daniel Rayor Hast, Jun Bo Lau, Ray Perlner, Angela Robinson). PQCrypto 2022 Conference Proceedings and Presentation (2022)

• "Frobenius distributions of low dimensional abelian varieties over finite fields" (Santiago Arango-Piñeros, Deewang Bhamidipati, Soumya Sankar) arXiv 

• "Replicable functions arising from code-lattice VOAs fixed by automorphisms" (Lea Beneish, Jennifer Berg, Eva Goedhart, Hussain M. Kadhem, Allechar Serrano López, Stephanie Treneer), Journal of Algebra (2024) published article   arXiv

• "Mod l  gamma factors and a converse theorem for finite general linear groups" (Jacksyn Bakeberg, Mathilde Gerbelli-Gauthier, Heidi Goodson, Ashwin Iyengar, Gilbert Moss, Robin Zhang) arXiv 

• "A Dedkind-Rademacher cocycle for Bianchi groups" (Kim Klinger-Logan, Kalani Thalagoda, Tian An Wong). Submitted.

• "Equidistribution of Elliptic Dedekind Sums and generalized Selberg-Kloosterman sums" (Kim Klinger-Logan, Tian An Wong), Research in Number Theory (2024) published article  arXiv

RNT 3

Project Descriptions from RNT 3

Articles from RNT 3

• "Ekedahl-Oort strata and the supersingular locus in the GU(q-2,2) Shimura variety," (Emerald Anne, Deewang Bhamidipati, Maria Fox, Heidi Goodson, Steven Groen, Sandra Nair). arXiv.

• "The probability of non-isomorphic group structures of isogenous elliptic curves in finite field extensions, II" (John Cullinan, Shanna Dobson, Linda Frey, Asimina Hamakiotes, Roberto Hernandez, Nathan Kaplan, Jorge Mello, Gabrielle Scullard). arXiv 

RNT 4

Project Descriptions from RNT 4