| 2024 | CRYPTO | On Cycles of Pairing-Friendly Abelian Varieties. | Maria Corte-Real Santos, Craig Costello, Michael Naehrig |
| 2024 | PKC | An Algorithm for Efficient Detection of (N, N)-Splittings and Its Application to the Isogeny Problem in Dimension 2. | Maria Corte-Real Santos, Craig Costello, Sam Frengley |
| 2023 | ASIACRYPT | Cryptographic Smooth Neighbors. | Giacomo Bruno, Maria Corte-Real Santos, Craig Costello, Jonathan Komada Eriksen, Michael Meyer, Michael Naehrig, Bruno Sterner |
| 2022 | CRYPTO | Accelerating the Delfs-Galbraith Algorithm with Fast Subfield Root Detection. | Maria Corte-Real Santos, Craig Costello, Jia Shi |
| 2021 | EuroCrypt | Sieving for Twin Smooth Integers with Solutions to the Prouhet-Tarry-Escott Problem. | Craig Costello, Michael Meyer, Michael Naehrig |
| 2020 | ASIACRYPT | B-SIDH: Supersingular Isogeny Diffie-Hellman Using Twisted Torsion. | Craig Costello |
| 2020 | PKC | Improved Classical Cryptanalysis of SIKE in Practice. | Craig Costello, Patrick Longa, Michael Naehrig, Joost Renes, Fernando Virdia |
| 2020 | PQCrypto | The Supersingular Isogeny Problem in Genus 2 and Beyond. | Craig Costello, Benjamin Smith |
| 2018 | ASIACRYPT | Computing Supersingular Isogenies on Kummer Surfaces. | Craig Costello |
| 2017 | ASIACRYPT | A Simple and Compact Algorithm for SIDH with Arbitrary Degree Isogenies. | Craig Costello, Hseyin Hisil |
| 2017 | EuroCrypt | Efficient Compression of SIDH Public Keys. | Craig Costello, David Jao, Patrick Longa, Michael Naehrig, Joost Renes, David Urbanik |
| 2016 | CCS | Frodo: Take off the Ring! Practical, Quantum-Secure Key Exchange from LWE. | Joppe W. Bos, Craig Costello, Lo Ducas, Ilya Mironov, Michael Naehrig, Valeria Nikolaenko, Ananth Raghunathan, Douglas Stebila |
| 2016 | CRYPTO | Efficient Algorithms for Supersingular Isogeny Diffie-Hellman. | Craig Costello, Patrick Longa, Michael Naehrig |
| 2016 | EuroCrypt | Complete Addition Formulas for Prime Order Elliptic Curves. | Joost Renes, Craig Costello, Lejla Batina |
| 2015 | ASIACRYPT | Fourℚ: Four-Dimensional Decompositions on a ℚ-curve over the Mersenne Prime. | Craig Costello, Patrick Longa |
| 2015 | SP | Post-Quantum Key Exchange for the TLS Protocol from the Ring Learning with Errors Problem. | Joppe W. Bos, Craig Costello, Michael Naehrig, Douglas Stebila |
| 2015 | SP | Geppetto: Versatile Verifiable Computation. | Craig Costello, Cdric Fournet, Jon Howell, Markulf Kohlweiss, Benjamin Kreuter, Michael Naehrig, Bryan Parno, Samee Zahur |
| 2014 | ASIACRYPT | Jacobian Coordinates on Genus 2 Curves. | Hseyin Hisil, Craig Costello |
| 2014 | EuroCrypt | Faster Compact Diffie-Hellman: Endomorphisms on the x-line. | Craig Costello, Hseyin Hisil, Benjamin Smith |
| 2014 | PKC | Elliptic and Hyperelliptic Curves: A Practical Security Analysis. | Joppe W. Bos, Craig Costello, Andrea Miele |
| 2013 | CHES | High-Performance Scalar Multiplication Using 8-Dimensional GLV/GLS Decomposition. | Joppe W. Bos, Craig Costello, Hseyin Hisil, Kristin E. Lauter |
| 2013 | EuroCrypt | Fast Cryptography in Genus 2. | Joppe W. Bos, Craig Costello, Hseyin Hisil, Kristin E. Lauter |
| 2011 | INDOCRYPT | Attractive Subfamilies of BLS Curves for Implementing High-Security Pairings. | Craig Costello, Kristin E. Lauter, Michael Naehrig |
| 2010 | PKC | Faster Pairing Computations on Curves with High-Degree Twists. | Craig Costello, Tanja Lange, Michael Naehrig |
| 2010 | WAIFI | Delaying Mismatched Field Multiplications in Pairing Computations. | Craig Costello, Colin Boyd, Juan Manuel Gonzlez Nieto, Kenneth Koon-Ho Wong |
| 2009 | Pairing | Faster Pairings on Special Weierstrass Curves. | Craig Costello, Hseyin Hisil, Colin Boyd, Juan Manuel Gonzlez Nieto, Kenneth Koon-Ho Wong |