Type-IV DCT, DST, and MDCT algorithms with reduced numbers of arithmetic operations. - Xuancheng Shao; Steven G. Johnson (Signal Process., 2008)

Type-II/III DCT/DST algorithms with reduced number of arithmetic operations. - Xuancheng Shao; Steven G. Johnson (Signal Process., 2008)

Deformations of associahedra and visibility graphs. - Satyan L. Devadoss; Rahul Shah 006; Xuancheng Shao; Ezra Winston (Contributions Discret. Math., 2012)

Carries, Group Theory, and Additive Combinatorics. - Persi Diaconis; Xuancheng Shao; Kannan Soundararajan (Am. Math. Mon., 2014)