一、基本情况

二、教育经历

2001/09－2005/07 南京师范大学，获理学学士学位

2005/09－2010/06 南开大学，获理学博士学位

三、主要研究领域

组合数学和图论

四、主要学术成就及5篇代表性研究成果

主持完成2项国家自然科学基金及多项省级项目，证明了美国科学院院士George Andrews和欧洲科学院院士Peter Paule提出的公开问题。在Adv. Appl. Math.,JCTA, European J. Combin., Proc. Royal Soc. Edinburgh. Section A, JNT, Acta Arithm., Proc AMS等期刊上发表过论文。10篇代表性研究成果如下：

[1] Olivia X.M. Yao, Some conjectures of Ballantine and Merca on truncated sums and the minimal excludant in congruences classes, J. Combin. Theory Series A, 210 (2025) 105967.

[2] Olivia X.M. Yao， Combinatorial interpretations of truncated series from the Jacobi triple product identity, European J. Combin. 128 (2025) 104176.

[3] Julia Q.D. Du and Olivia X.M. Yao，Congruences modulo arbitrary powers of 5 and 7 for Andrews and Paule's partition diamonds with (n + 1) copies of n, Journal of Number Theory, 279 (2026) 1--44.

[4] Olivia X.M. Yao, Class numbers and congruences modulo 8 for a spt function on overpartitions, Acta Arithm. 219 (2025) 123--143.

[5] Olivia X.M. Yao, Rogers-Ramanujan type identities and Chebyshev polynomials, Proc. Amer. Math. Soc. 153 (2025) 1215--1229.

[6] Olivia X.M. Yao and Xuan Yu, Congruence properties for Schmidt type d-fold partition diamonds, J. Symb. Comput. 130 (2025) 102431.

[7] Olivia X.M. Yao, Proof of a conjecture of Ballantine and Merca on truncated sums of 6-regular partitions, J. Combin. Theory Series A, 206 (2024) 105903.

[8] Olivia X.M. Yao, New mock theta functions and formulas for basic hypergeometric series, Proc. Edinb. Math. Soc. 68 (2023) 868--896.

[9] Olivia X.M. Yao, Truncated sums for Hecke-Rogers type identities and Andrews-Hickerson’s Bailey pair, Adv. Appl. Math. 140 (2022) 102388.

[10] Olivia X.M. Yao, New families of mock theta functions and partial fraction decomposition, Adv. Appl. Math. 138 (2022) 102347.