王国亮-北京理工大学数学与统计学院

师资队伍

应用数学系

王国亮 (David Guoliang Wang) 职称：教授 电子邮箱：glw@bit.edu.cn

王国亮，北京理工大学数学教授，研究方向是代数组合学，近期研究兴趣是图的色对称函数的正性问题，即确定图的色对称函数是否具有e-正性或Schur正性。王国亮曾于2010年获南开大学博士学位，在北京国际数学研究中心（BICMR）和以色列海法大学做博士后工作，访问美国麻省理工学院（MIT）和法国 Gaspard-Monge 信息实验室（LIGM），曾主持三项国家自然科学基金，获第六届图论与组合算法国际会议青年论文奖一等奖，现任中国运筹学会图论组合分会理事。

I am a professor of mathematics at BIT, reseaching in algebraic combinatorics. I was graduated from Nankai University in 2010, a postdoc at Beijing International Center for Mathematical Research (BICMR) and Haifa University in Israel, and an academic visitor at MIT and Laboratoire d'Informatique Gaspard-Monge (LIGM). My recent research interest is on graph positivities, i.e., to determine whether the chromatic symmetric function of a given graph is e-positive and whether it is Schur positive.

教育背景

[03] 2005.09--2010.06 理学博士，南开大学，组合数学中心，导师：陈永川

[02] 2001.09--2005.07 理学学士，北京大学，数学科学学院

[01] 1998.09--2001.07 高中，山东省青岛第二中学

[03] 2005.09--2010.06, Ph.D. for Mathematics and Applied Mathematics, Center for Combinatorics, Nankai Univ. Supervisor: William Y.C. Chen.

[02] 2001.09--2005.07, A.B. for Mathematics and Applied Mathematics, School of Mathematical Sciences, Peking Univ.

[01] 1998.09--2001.07, Academic education in High school, Qingdao No. 2 Middle School of Shandong Province.

Grants:

[07] 2022.01--2025.12 General Program of National Natural Science Foundation of China. Grant No. 12171034.

[06] 2021.01--2021.12 Fundamental Research Funds for the Central Universities. Grant No. 2021CX11012.

[05] 2017.01--2018.12 Fundamental Research Funds for the Central Universities. Grant No. 20161742027.

[04] 2017.01--2020.12 General Program of National Natural Science Foundation of China. Grant No. 11671037.

[03] 2015.01--2017.12 Beijing Institute of Technology Research Fund Program for Young Scholars. Grant No. 2015CX04016.

[02] 2012.01--2014.12 Young Scientists Fund of National Natural Science Foundation of China. Grant No. 11101010.

[01] 2012.01--2012.12 China Postdoctoral Science Foundation. Grant No. 20110490224.

工作经历

[07] 2024.03--2024.08 法国 Gaspard-Monge 信息实验室（LIGM）高级研究学者

[06] 2023.01--2023.05 法国 Gaspard-Monge 信息实验室（LIGM）高级研究学者

[05] 2020.07--今北京理工大学数学与统计学院教授

[04] 2018.09--2019.08 美国麻省理工学院（MIT）数学系访问副教授

[03] 2014.12--2020.07 北京理工大学数学与统计学院副教授

[02] 2012.10--2014.09 以色列海法大学数学系博士后

[01] 2010.07--2012.06 北京大学北京国际数学研究中心（BICMR）博士后

[07] 2024.03--2024.08, Senior Research Fellow at LIGM, Paris, France.

[06] 2023.01--2023.05, Senior Research Fellow at LIGM, Paris, France.

[05] 2020.07--present, Professor in mathematics, Sch. Math. Stat., BIT, Beijing.

[04] 2018.09--2019.08, Visiting Associate Professor at Dept. Math., MIT, Cambridge, Massachusetts, USA.

[03] 2014.12--2020.07, Associate Professor in mathematics, Sch. Math. Stat., BIT, Beijing.

[02] 2012.10--2014.09, Postdoc in Dept. Math., Univ. Haifa, Haifa, Israel.

[01] 2010.07--2012.06, Postdoc in Beijing International Center for Mathematical Research (BICMR), PKU, Beijing.

Invited talks:

[65] Farid Aliniaeifard (SDU), 2025.12.12.

Can AI show creativity in mathematics — Or is it just a tool?.

[64] Sergey Kitaev (U Strathclyde), 2025.6.12.

Naturally labelled posets and a hierarchy related to interval orders.

[63] Shuxiao Li (SDU), 2025.4.2.

Peak algebra in noncommuting variables.

[62] Wenjing Zhang (HNU), 2025.1.7.

The inequalities in the theory of partitions.

[61] Xi Chen (DUT), 2025.1.3.

A unified planar network approach to totally positive matrices and polynomials with only real zeros.

[60] Yongtang Shi (NKU), 2025.1.2.

Some results on Reconfiguration graphs.

[59] Tatsuyuki Hikita (KyotoU), 2024.11.29.

A proof of the Stanley–Stembridge conjecture.

[58] Diane Yahui Shi (TJU), 2024.11.19.

Lattice paths and Rogers–Ramanujan–Gordon type partitions.

[57] Victor Junwei Guo (HZNU), 2024.11.15.

A new family of $q$-hypergeometric congruences from Andrews' multi-series transformation.

[56] Shenggui Zhang (NWPU), 2024.11.14.

提高领导–跟随者多智能体系统一致性收敛速率的拓扑优化方法.

[55] ComBIT24–StanleyFest, 2024.10.13.

[54] Imre Bárány (MTA & UCL), 2024.9.13.

The Steinitz lemma and its matrix version.

[53] Neil Jiuyu Fan (SCU), 2024.9.12.

Pieri rules for motivic Chern classes of Schubert cells.

[52] Sylvester Wenze Zhang (UofM), 2024.9.12.

A survey of super cluster algebras.

[51] Shiyun Wang (UMTC), 2024.4.24.

The Stanley–Stembridge Conjecture for 2+1+1-avoiding unit interval orders.

[50] ***, 2024.1.9.

Parking functions, interpolation polynomials, and partition lattice.

[49] Foster Tom (MIT), 2024.1.8.

A signed $e$-expansion of the chromatic symmetric function and some new $e$-positive graphs.

[48] Zhiwei Sun (NJU), 2024.1.3.

有关置换的问题与结果.

[47] Shiliang Gao (UIUC), 2023.12.28.

Newell–Littlewood numbers.

[46] Jiyang Gao (Harvard Univ), 2023.12.22.

Balanced shifted tableaux.

[45] Yibo Gao (PKU), 2023.11.13.

An introduction to algebraic combinatorics.

[44] Dun Qiu (NKU), 2023.9.15.

q-Unimodality and Catalan combinatorics.

[43] Shu-Xiao Li (DUT), 2023.06.12.

Enriched colorings and peak algebras.

[42] Shu-Xiao Li (DUT), 2023.06.10.

Generalized chromatic functions and Schur functions.

[41] Shu-Xiao Li (DUT), 2023.06.05.

An overview of combinatorial Hopf algebras.

[40] Shu-Xiao Li (DUT), 2023.06.03.

Total orders on trees.

[39] Emma Yu Jin (XMU), 2022.10.13.

When Asymptotics, Stochastics meet Combinatorics: the beauty of generating functions.

[38] Jicai Liu (WZU), 2022.09.06.

Supercongruences involving Motzkin numbers and central trinomial coefficients.

[37] Jianhua Tu (BTBU), 2022.04.27.

Extremal problems involving counting the number of a given type of substructure.

[36] Jun Ma (SJTU), 2022.04.27.

(M,i)-Multiset Eulerian polynomials.

[35] Rongxia Hao (BJTU), 2022.03.18.

The existent conditions of completely independent spanning trees for some graphs.

[34] Matthew Hongye Xie (TUT), 2021.11.11.

The inverse Kazhdan-Lusztig polynomial of a matroid.

[33] Xiaomeng Xu (PKU), 2021.11.11.

A complex analysis realization of crystals in representation theory.

[32] Jingjian Li (GXU), 2021.08.31.

On the classification of symmetric graphs.

[31] Tao Zhang (GZHU), 2021.07.21.

Some new results on repeated patterns in proper edge colorings.

[30] Yiqiao Wang (BUCM), 2021.05.22.

Linear 2-arboricity of 1-planar graphs.

[29] Chong Shangguan (SDU), 2021.04.13.

On two extremal hypergraph problems of Brown, Erdős and Sos.

[28] Ruyong Feng (CAS), 2021.04.13.

Heights of the points on a plane algebraic curve.

[27] Guoce Xin (CNU), 2021.02.02.

Some progress on the sweep map.

[26] Dingkang Wang (UCAS), 2021.02.01.

Prove and discover geometric theorems mechanically.

[25] Jun Ma (SJTU), 2021.01.26.

Weakly increasing trees on a multiset.

[24] Qing-Hu Hou (NKU), 2021.01.26.

组合恒等式的机器证明——理论与研究

[23] Larry Xingwei Wang (NKU), 2021.01.12.

Analytical properties of combinatorial sequences.

[22] Liyong Shen (UCAS), 2021.01.12.

Implicitizing rational tensor product surfaces.

[21] Lily Li Liu (QFNU), 2021.01.05.

Gamma-positivity of some combinatorial polynomials.

[20] Liping Yuan (HNU), 2020.12.24.

Right triple convexity.

[19] Yi Wang (DUT), 2020.12.03.

Inertia indices and eigenvalue inequalities for Hermitian matrices.

[18] Ernest Xianwei Xia (JSU), 2020.12.01.

Identities, inequalities and congruences for odd ranks and k-marked odd Durfee symbols.

[17] Baoxuan Zhu (JSNU), 2020.12.01.

Stieltjes moment properties and continued fractions from combinatorial triangles.

[16] Mei Lu (THU), 2019.12.12.

Anti-Ramsey problems for cycles.

[15] Binzhou Xia (UniMelb), 2019.10.22.

Hamiltonicity of Cayley graphs.

[14] Philip Biao Zhang (TJNU), 2018.07.24.

Interlacing polynomials and the Veronese construction for rational formal power series.

[13] Zhicong Lin (JMU), 2018.07.07.

A new decomposition of ascent sequences and Euler–Stirling statistics.

[12] Zhicong Lin (JMU), 2018.07.07.

Positivity and divisibility of alternating descent polynomials.

[11] Shaoshi Chen (CAS), 2018.07.06.

Proof of the Wilf–Zeilberger conjecture for mixed hypergeometric terms.

[10] Yongke Qu (LYNC), 2017.05.19.

On additive bases of finite abelian groups.

[09] Peter L. Guo (NKU), 2017.05.19.

Some combinatorial aspects on Young tableaux.

[08] Larry X.W. Wang (NKU), 2016.11.29.

Log-behavior of combinatorial sequences.

[07] Xingxing Yu (Gatech), 2016.11.18.

On almost perfect matchings in k-partite k-graphs.

[06] Yeong-Nan Yeh (Academia Sinica, Taipei), 2016.11.10.

Combinatorial enumeration.

[05] William Y.C. Chen (NKU), 2015.12.12.

Some theorems in combinatorics and the stories behind.

[04] Hongliang Lu (XJTU), 2015.11.09.

On the number of edge-disjoint perfect matchings of regular graphs with given connectivity.

[03] Arthur L.B. Yang (NKU), 2015.10.11.

Schur positivity from log-concavity problems.

[02] Zhicong Lin (NIMS), 2015.09.25.

Graph homomorphisms between trees.

[01] Zhicong Lin (NIMS), 2015.09.24.

On gamma-positive polynomials arising in pattern avoidance.

Graduate classes:

[04] Graph Theory and Its Applications, spring 2022 (18 students).

[03] Graph Theory and Its Applications, fall 2020 (19 students).

[02] Graph Theory and Its Applications, fall 2019 (1700107 for 9 students).

[01] General Topology, spring 2018 (MTH17083 for 2 undergraduates, 1700103 for 8 master students and 10 phd students).

Undergraduate classes:

[15] Elementary Number Theory, fall 2025 (100171123 for 28 students, mainly of the third year).

[14] Calculus II, spring 2025 (100171019 for 109 freshmen).

[13] Combinatorics (in English), spring 2025 (100171220 for 21 students, the third year).

[12] Elementary Number Theory, fall 2024 (100171123 for 24 students, the third year).

[11] Discrete Mathematics, fall 2024 (100171205 for 57 students, the third year).

[10] Elementary Number Theory, fall 2023 (100171123 for 30 students, mainly of the third year).

[09] General Topology, spring 2022 (49 students of the third year).

[08] Discrete Mathematics, fall 2021 (100171205 for 116 students, mainly of the third year).

[07] General Topology, spring 2021 (MTH17083 for 44 students of the third year).

[06] Discrete Mathematics, fall 2020 (100171205 for 111 students, mainly of the third year).

[05] Calculus for Engineering, fall 2019 (100172103 for 123 freshmen and 100171018 for 30 freshmen).

[04] Calculus A, fall 2017 (100172101 for 78 freshmen).

[03] Advanced Algebra B1, fall 2017 (100172109 for 102 freshmen).

[02] Linear Algebra A, fall 2017 (100172105 for 73 freshmen).

[01] Calculus for Engineering, fall 2015. (98 freshmen)

Postdoc:

[01] 2025.09--2027.09, Zihao Zhang, a doctor from CNU.

Doctoral students:

[06] 2025.09--Present, Tony Yuanzhe Ding, a master student from NUS.

[05] 2024.09--Present, Kiran Zahoor, a master student from Hazara Univ., Mansehra, Pakistan.

[04] 2024.09--Present, Watson Ziyuan Wang, a master student from BTBU.

[03] 2023.09--Present, Kai Zhang, a master student from LZU.

[02] 2022.09--Present, Davion Qibao Tang, upgraded from a master student at BIT.

[01] 2019.09--2022.06, Monica Mengyu Wang, a bachelor from GXU. She was a postdoc at CNU and now works at BIGC.

Master students:

[08] 2024.09--Present, Yan Sun, a bachelor from HEBUT.

[07] 2023.09--Present, Simon Yumeng Gong, a bachelor from BIT.

[06] 2022.09--2025.07, Max Yuchen Liu, a bachelor from HNU.

[05] 2022.09--2025.07, James Zifan Zhou, a bachelor from BIT.

[04] 2022.09--2025.07, Ethan Yuanjian Qi, a bachelor from BIT.

[03] 2021.09--2022.08, Davion Qibao Tang, a bachelor from BIT.

[02] 2017.09--2020.07, Jerry Jiarui Zhang, a bachelor from BIT.

[01] 2016.09--2019.07, Dannielle Dandan Jin, a bachelor from QFNU.

An exchange student:

[01] 2017.09--2018.01, Jonas Schwamberger, a master student from RWTH Aachen Univ. He was in a China-Germany one-semester-exchange program for master students.

Undergraduate students from PKU algebraic combinatorics experience (PACE):

[05] 2024.07.01--2024.08.24, Yitong He, a bachelor from XJTU.

[04] 2024.07.01--2024.08.24, Luan Chen, a bachelor from SUSTech.

[03] 2023.07.03--2023.08.25, Zerui Xiang, a bachelor from UCAS.

[02] 2023.07.03--2023.08.25, Yulin Song, a bachelor from BIT.

[01] 2023.07.03--2023.08.25, Yuchen Ge, a bachelor from SDU.

研究方向

代数组合

algebraic combinatorics

代表论著

Books published:

[02] Guoliang Wang, Lecture Notes on General Topology, World Scientific, Singapore, 152 pp, ISBN: 978-981-122-741-7, eISBN: 978-981-122-742-4, 2021.01.

This is a hard copy version with a minor collection of update and revision based on [01], internationally on sale.

[01] Guoliang Wang, Lecture Notes on General Topology, HEP Studies in Modern Mathematics, Higher Education Press, Beijing, 140 pp, ISBN: 978-7-04-052749-0, 2019.10.

Preprints:

[04] D.G.L. Wang and K. Zhang, The lattices m × 2 and m × 3 are not Schur positive, arXiv: 2510.03116.

[03] D.Q.B. Tang and D.G.L. Wang, Positive e-expansions of the chromatic symmetric functions of KPKPs, twinned lollipops, and kayak paddles, arXiv: 2408.01385.

[02] D.Q.B. Tang, D.G.L. Wang and M.M.Y. Wang, The spiders S(4m+2, 2m, 1) are e-positive, arXiv: 2405.04915.

[01] J.-Y. Thibon and D.G.L. Wang, A noncommutative approach to the Schur positivity of chromatic symmetric functions, arXiv: 2305.07858.

Papers published/accepted:

[46] R.R.X. Du, Z. Lin, D.G.L. Wang, and T. Zhao, Callan permutations and odd order permutations, Graphs Combin. 41(124) (2025).

[45] L. Chen, Y.T. He and D.G.L. Wang, Clocks are e-positive, Discrete Math. 349 (1) (2026), 114723.

[44] E.Y.J. Qi, D.Q.B. Tang and D.G.L. Wang, Chromatic symmetric functions of conjoined graphs, Front. Math. (2025), DOI: 10.1007/s11464-024-0088-3.

[43] D.G.L. Wang, All cycle-chords are e-positive, Ann. Comb. (2025), DOI: 10.1007/s00026-025-00753-2.

[42] D.G.L. Wang and J.Z.F. Zhou, A composition method for neat formulas of chromatic symmetric functions, Adv. Appl. Math. 167 (2025), 102886.

[41] H. Lu, D.G.L. Wang, and Q. Yu, Characterization of Tutte-type condition and graph factors, devoted to the 80th birthday of Professor Guizhen Liu, Sci. Sinica Math. (in Chinese) 54(11) (2024), 1821--1828.

[40] M.Y.C. Liu and D.G.L. Wang, A unimodal sequence with mode at a quarter length, J. Difference Equ. Appl. 29(7) (2023), 763--778.

[39] D.G.L. Wang and M.M.Y. Wang, The e-positivity and Schur positivity of some spiders and broom trees, Discrete Appl. Math. 325 (2023), 226--240.

[38] D.G.L. Wang and M.M.Y. Wang, The e-positivity of two classes of cycle-chord graphs, J. Alg. Combin. 57(2) (2023), 495--514.

[37] Z.C. Lin, D.G.L. Wang, and T. Zhao, A decomposition of ballot permutations, pattern avoidance and Gessel walks, J. Combin. Theory Ser. A 191 (2022), 105644.

[36] H. Lu and D.G.L. Wang, Surface embedding of non-bipartite k-extendable graphs, Ann. Appl. Math. 38 (2022), 1--24.

[35] D.G.L. Wang and T.Y. Zhao, The peak and descent statistics over ballot permutations, Discrete Math. 345(3) (2022), 112739.

[34] D.G.L. Wang, M.M.Y. Wang, and S.Q. Zhang, Determining the edge metric dimension of the generalized Petersen graph P(n,3), J. Comb. Optim. 43 (2022), 460--496.

[33] E.Y.H. Li, G.M.X. Li, D.G.L. Wang, and A.L.B. Yang, The twinning operation on graphs does not always preserve e-positivity, Taiwanese J. Math. 25(6) (2021), 1089--1111.

[32] Z.C. Lin, S.-M. Ma, D.G.L. Wang, and L.Q. Wang, Positivity and divisibility of enumerators of alternating descents, Ramanujan J. 58 (2022), 203--228.

[31] D.G.L. Wang and J.J.R. Zhang, Geometry of limits of zeros of polynomial sequences of type (1,1), Bull. Malays. Math. Sci. Soc. 44 (2021), 785--803.

[30] D.G.L. Wang and M.M.Y. Wang, A combinatorial formula for the Schur coefficients of chromatic symmetric functions, Discrete Appl. Math. 285 (2020), 621--630.

[29] D.G.L. Wang and J.J.R. Zhang, A Toeplitz property of ballot permutations and odd order permutations, Electron. J. Combin. 27(2) (2020), P2.55.

[28] Z.C. Lin, D.G.L. Wang, and J. Zeng, Around the q-binomial-Eulerian polynomials, European J. Combin. 78 (2019), 105--120.

[27] D.D.D. Jin and D.G.L. Wang, On the minimum vertex cover of generalized Petersen graphs, Discrete Appl. Math. 266 (2019), 309--318.

[26] S.-M. Ma, T. Mansour, D.G.L. Wang, and Y.-N. Yeh, Several variants of the Dumont differential system and permutation statistics, Sci. China Math. 62(10) (2019), 2033--2052.

[25] H. Lu and D.G.L. Wang, A Tutte-type characterization for graph factors, SIAM J. Discrete Math. 31(2) (2017), 1149--1159.

[24] H. Lu and D.G.L. Wang, The number of disjoint perfect matchings in semi-regular graphs, Appl. Anal. Discrete Math. 11(1) (2017), 11--38.

[23] H. Hu, D.G.L. Wang, F. Zhao, and T.Y. Zhao, Convolution preserves partial synchronicity of log-concave sequences, Math. Inequal. Appl. 20(1) (2017), 91--103.

[22] J.L. Gross, T. Mansour, T.W. Tucker, and D.G.L. Wang, Root geometry of polynomial sequences II: Type (1,0), J. Math. Anal. Appl. 441(2) (2016), 499--528.

[21] D.G.L. Wang, Tilings of parallelograms by similar isosceles triangles, Math. Intelligencer 38(3) (2016), 24--29.

[20] J.L. Gross, T. Mansour, T.W. Tucker, and D.G.L. Wang, Iterated claws have real-rooted genus polynomials, Ars Math. Contemp. 10(2) (2016), 255--268.

[19] J.L. Gross, T. Mansour, T.W. Tucker, and D.G.L. Wang, Combinatorial conjectures that imply local log-concavity of graph genus polynomials, European J. Combin. 52(A) (2016), 207--222.

[18] J.L. Gross, T. Mansour, T.W. Tucker, and D.G.L. Wang, Root geometry of polynomial sequences I: Type (0,1), J. Math. Anal. Appl. 433(2) (2016), 1261--1289.

[17] J.L. Gross, T. Mansour, T.W. Tucker, and D.G.L. Wang, Log-concavity of the genus polynomials of Ringel ladders, Electron. J. Graph Theory & Appl. 3(2) (2015), 109--126.

[16] J.L. Gross, T. Mansour, T.W. Tucker, and D.G.L. Wang, Log-concavity of combinations of sequences and applications to genus distributions, SIAM J. Discrete Math. 29(2) (2015), 1002--1029.

[15] T. Mansour and D.G.L. Wang, Recurrence relations in counting the pattern 13-2 in flattened permutations, J. Difference Equ. Appl. 21(1) (2015), 16--36.

[14] H. Lu and D.G.L. Wang, Surface embedding of (n,k)-extendable graphs, Discrete Appl. Math. 179 (2014), 163--173.

[13] D.G.L. Wang, On colored set partitions of type B_n, Cent. Eur. J. Math. 12(9) (2014), 1372--1381.

[12] H. Lu, D.G.L. Wang, and Q. Yu, On the existence of general factors in regular graphs, SIAM J. Discrete Math. 27(4) (2013), 1862--1869.

[11] T. Mansour, M. Shattuck, and D.G.L. Wang, Recurrence relations for patterns of type (2,1) in flattened permutations, J. Difference Equ. Appl. 20(1) (2014), 58--83.

[10] T. Mansour, M. Shattuck, and D.G.L. Wang, Counting subwords in flattened permutations, J. Combin. 4(3) (2013), 327--356.

[09] H. Lu and D.G.L. Wang, On Cui-Kano's characterization problem on graph factors, J. Graph Theory 74(3) (2013), 335--343.

[08] D.G.L. Wang, On universal tilers, Geom. Dedicata 164(1) (2013), 385--393.

[07] D.G.L. Wang, Determining all universal tilers, Discrete Comput. Geom. 49(2) (2013), 302--316.

[06] D.G.L. Wang and T.Y. Zhao, The real-rootedness and log-concavities of coordinator polynomials of Weyl group lattices, European J. Combin. 34(2) (2013), 490--494.

[05] W.Y.C. Chen, T.X.S. Li, and D.G.L. Wang, A bijection between atomic partitions and unsplitable partitions, Electron. J. Combin. 18(1) (2011), #P7.

[04] W.Y.C. Chen and D.G.L. Wang, Singletons and adjacencies of set partitions of type B, Discrete Math. 311(6) (2011), 418--422.

[03] W.Y.C. Chen and D.G.L. Wang, The limiting distribution of the q-derangement numbers, European J. Combin. 31(8) (2010), 2006--2013.

[02] W.Y.C. Chen and D.G.L. Wang, Minimally intersecting set partitions of type B , Electron. J. Combin. 17 (2010), #R22.

[01] W.Y.C. Chen, D.G.L. Wang, and I.F. Zhang, Partitions of Z_n into arithmetic progressions, European J. Combin. 30(4) (2009), 764--773.