Xin Wang（王新）

Education and employment:

• Sep. 2010-July 2015, Peking University, Ph.D. (supervised by Professor Xiaobo Liu)

• Sep. 2015-Aut. 2020, Shandong University, Assistant professor 

• Dec. 2016-Aut. 2017, Columbia University, visiting scholar (supervised by Professor Melissa Liu)

• Sep. 2017-Jan 2019, Michigan University, visiting scholar (supervised by Professor Yongbin Ruan and Felix Janda)

• Sep. 2020-Dec.2025, Shandong University, Associate professor 

• Jan.2026-so far, Shandong University, Professor 

Publications:

1. Dubrovin-Zhang type loop equations for Hodge integrals of target varieties, Comm. Math. Phys., to appear.

2. Universal constraints for Hodge integrals with target varieties, Int. Math. Res. Not. IMRN 2025, no. 20, Paper No. rnaf319, 22 pp. 

3. (with Felix Janda) Structures of topological recursion relations, Trans. Amer. Math. Soc. Ser. B 12 (2025), 1223–1263.

4. Virasoro constraints for Hodge integrals, Commun. Number Theory Phys. 19 (2025), no. 3, 631–682. 

5. The genus two G-function for cubic elliptic orbifold and modularity, Lett. Math. Phys. 114 (2024), no. 3, Paper No. 69, 43 pp.

6. (with Felix Janda) Universal equations of higher genus Gromov-Witten invariants from Hodge integrals, Comm. Math. Phys. 405 (2024), no. 2, Paper No. 47, 25 pp.

7. (with Emily Clader, Felix Janda and Dmitry Zakharov) Topological recursion relations from Pixton's formula, Michigan Math. J. 73 (2023), no. 2, 227–241.

8. Finite generation and holomorphic anomaly equation for  equi-variant Gromov-Witten invariants of  $K_{\mathbb{P}^1\times \mathbb{P}^1}$, Front. Math. 18 (2023), no. 1, 17–46.

9. The genus two G-function for the cubic elliptic singularity, Lett. Math. Phys. 111 (2021), no. 6, Paper No. 151, 32 pp.

10. Higher genus FJRW theory for Fermat cubic singularity, Acta Math. Sin. (Engl. Ser.) 37 (2021), no. 8, 1179–1204.

11. A genus-4 topological recursion relation for Gromov-Witten invariants, Sci. China Math. 63 (2020), no. 1, 101–112.

12. Quasi-modularity and holomorphic anomaly equation  for the twisted Gromov-Witten theory: $\mathcal{O}(3)$ over $\mathbb{P}^2$, Acta Math. Sin. (Engl. Ser.) 35 (2019), no. 12, 1945–1962.

13. (with Xiaobo Liu) Genus-2 G-function for $P^{1}$ orbifolds, Adv. Math. 274 (2015), 631–650.

14. (with Xiaobo Liu) Conditions for the vanishing of the genus-2 G-function, Trans. Amer. Math. Soc. 367 (2015), no. 12, 8975–8996.

Preprints:

1. On the Virasoro constraints for $X\times C$. [PDF]

2. Virasoro-like identities for higher genus Gromov-Witten invariants and semisimple Frobenius manifold. [PDF]

3. Hodge integrals and $\lambda_{g}$ conjecture with target varieties. [PDF]

4. Genus one Virasoro conjecture in higher degree for Hodge integrals. [PDF]

5. Virasoro conjecture for Hodge integrals and DR formula for Chern character of Hodge bundle. [PDF]

6. Eguchi-Hori-Xiong $\widetilde{L}_n$ constraints for Gromov-Witten invariants.

7. New tautological relations among Hodge classes and universal equations for Hodge integrals. [PDF]

8. New push-forward relation and universal  equation for higher genus  Gromov-Witten invariants.[PDF]

Invited Talks:

1. Sep., 2025: "Universal structures for Hodge integrals", East Asian Symplectic Conference 2025, Sapporo

2. Apr. 16, 2025: "Universal constraints for Hodge integrals and its applications", Symplectic Geometry and Mathematical Physics Seminar, Morningside Center of Mathematics, Chinese Academy of Sciences 

3. Mar. 25, 2025: "Universal constraints for Hodge integrals and its applications", Symplectic Geometry and Mathematical Physics Seminar, BICMR

4. Dec. 19  2024: Universal constraints for Hodge integrals, Colloquium, Chongqing University of Technology

5. Dec. 9  2024: Universal constraints for Hodge integrals, Symplectic Topology and Physics Seminar, Zhejiang University