The award is named after Levi L. Conant (1857–1916), a professor at the Worcester Polytechnic Institute, known as the author of anthropological mathematics book "The number concept" (1896). He left the AMS $10,000 for the foundation of the award bearing his name in 2000.
2021: Dan Margalit for the article "The Mathematics of Joan Birman," Notices of the AMS, 66 (2019), 341–353
2020: Amie Wilkinson for the article "What are Lyapunov exponents, and why are they interesting?", Bulletin of the AMS, Volume 54, January 2017, Pages 79–105
2019: Alex Wright for "From rational billiards to dynamics on moduli spaces". Bulletin of the AMS. 53: 41–56. 2016.
2017: David H. Bailey, Jonathan Borwein, Andrew Mattingly, and Glenn Wightwick for "The Computation of Previously Inaccessible Digits of π2 and Catalan's Constant". Notices of the AMS. 2013.
2016: Daniel Rothman for "Earth's Carbon Cycle: A Mathematical Perspective". Bulletin of the AMS. 52: 86–102. 2015.
2015: Jeffrey Lagarias and Zong Chuanming for "Mysteries in Packing Regular Tetrahedra". Notices of the AMS. 59 (11): 1540–1549. 2012.
2005: Allen Knutson, Terence Tao for "Honeycombs and Sums of Hermitian Matrices". Notices of the AMS. 48: 175–186. 2001.
2004: Noam Elkies for "Lattices, Linear Codes, and Invariants." Notices of the AMS, Vol. 47, 2000, Part 1: No. 10, pg. 1238–45; Part 2: No. 11, pg. 1382–91.