Songling Shan, PhD
Education
PhD Georgia State University 2015
MS East China Normal University 2011
BS Northwest Normal University 2008
Professional Experience
| 2023–present | Assistant Professor, Department of Mathematics and Statistics, Auburn University |
| 2018–2023 | Assistant Professor, Department of Mathematics, Illinois State University |
| 2015–2018 | Non-tenure-track Assistant Professor (Postdoc), Department of Mathematics, Vanderbilt University |
Grants
| 2025–2028 | NSF Grant DMS-2451895 |
| 2025–2026 | PI of NSF Conference Grant DMS-2509739 |
| 2022–2025 | NSF Grant DMS-2345869 (DMS-2153938) |
| 2022–2023 | PI of NSF Conference Grant DMS-2231600 |
| 2021 | Illinois State University Pre-tenure Faculty Initiative Grant |
| 2019 | NSF-AWM Mentoring Travel Grant |
| 2019 | Illinois State University New Faculty Initiative Grant |
| 2017–2018 | Co-PI of NSF Conference Grant DMS-1707486 |
Selected Publications
- On the Multigraph Overfull Conjecture (with Michael J. Plantholt). J. Graph Theory, 109 (2025), no. 2, 226–236.
- A construction of a 3/2-tough plane triangulation with no 2-factor. J. Graph Theory, 109 (2025), no. 1, 5–18.
- The core conjecture of Hilton and Zhao (with Yan Cao, Guantao Chen, and Guangming Jing). J. Combin. Theory Ser. B, 166 (2024), 154–182.
- Chromatic index of dense quasirandom graphs. J. Combin. Theory Ser. B, 157 (2022), 429–450.
- Overfullness of critical class 2 graphs with a small core degree (with Yan Cao and Guantao Chen). J. Combin. Theory Ser. B, 156 (2022), 145–173.
- Antimagic orientation of graphs with minimum degree at least 33. J. Graph Theory, 98 (2021), no. 4, 676–690.
- Vizing’s 2-factor conjecture involving large maximum degree (with Guantao Chen). J. Graph Theory, 86 (2017), no. 4, 422–438.
- Homeomorphically irreducible spanning trees (with Guantao Chen). J. Combin. Theory Ser. B, 103 (2013), no. 4, 409–414.
