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、图论、特殊函数

四、主要学术成就及5篇代表性研究成果

目前，主持完成2项国家自然科学基金，在JCTA. Adv. Appl. Math., Proc. Royal Soc. Edinburgh. Section A, JNT, Acta Arithm. Proc. AMS等期刊上发表SCI论文60余篇，解决了美国科学院院士Andrews和欧洲科学院院士Paule提出的公开问题。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, Class numbers and congruences modulo 8 for a spt function on overpartitions, Acta Arithm. To appear (DOI: 10.4064/aa240701-29-10).

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

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

[5] 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.

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

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

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

[9] Olivia X.M. Yao，Infinite families of congruences modulo 5 and 7 for the cubic partition function，Proc. Royal Soc. Edinburgh. Section A, 149（2019）1189--1205.

[10] Olivia X.M. Yao，New congruences modulo powers of 2 and 3 for 9-regular partitions, Journal of Number Theory, 142 (2014) 89--101.