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Department of Mathematics

Wanlin Li

Assistant Professor

 

Research Interest(s)

My research area is number theory and arithmetic geometry in mathematics. My research both focus on algebraic perspectives and geometric visions of mathemraical objects. The main objects of my study are primes, algebraic number fields, L-functions, algebraic curves, abelian varieties, and algebraic cycles.

Publications

  1. “Positive density of primes of ordinary reduction for abelian varieties of simple signature”, with V. Cantoral Farfán, E. Mantovan, R. Pries, Y. Tang, preprint. arXiv

  2. “On ℓ-torsion in degree ℓ superelliptic Jacobians over Fq”, with J. Love, E. Stubley, preprint. arXiv

  3. “Non-vanishing of Ceresa and Gross–Kudla–Schoen cycles associated to modular curves”, with M. Kerr, C. Qiu, T. Yang, preprint. arXiv

  4. “Exceptional biases in counting primes over functions fields ”, with A. Bailleul, L. Devin, D. Keliher, J. Lond. Math. Soc. (2) 109 (2024), no. 3, Paper No. e12876, 32 pp. arXiv

  5. “On the vanishing of twisted L-functions of elliptic curves over rational function fields ”, with A. Comeau-Lapointe, C. David, M. Lalín, Res. Number Theory 8 (2022), no. 4, Paper No. 76, 28 pp. arXiv

  6. “The Ceresa class and tropical curves of hyperelliptic type”, with D. Corey, Forum Math. Sigma 12 (2024), Paper No. e54. arXiv

  7. “On the Northcott property of zeta functions over function fields”, with X. Généreux, M. Lalín, Finite Fields Appl. 83 (2022), Paper No. 102080, 27 pp. arXiv

  8. “Abelian varieties of prescribed order over finite fields”, with R. van Bommel, E. Costa, B. Poonen, and A. Smith, Math. Ann. 392, 1167–1202 (2025), arXiv

  9. “Data for Shimura varieties intersecting the Torelli locus”, with E. Mantovan, and R. Pries, submitted, arXiv

  10. “Doubly isogenous genus-2 curves with D4-action”, with V. Arul, J. Booher, S. R. Groen, E. W. Howe, V. Matei, R. Pries, and C. Springer, Math. Comp.93(2023), no.345, 347–381. arXiv

  11. “Vanishing of Dirichlet L-functions at the central point over function fields”, with R. Donepudi, Rocky Mountain J. Math. 51 (2021), no. 5, 1615–1628. arXiv

  12. “Surface bundles and the section conjecture”, With D. Litt, N. Salter and P. Srinivasan, Math. Ann. 386 (2023), no. 1-2, 877–942. arXiv

  13. “The Ceresa class: tropical, topological, and algebraic”, with D. Corey and J. Ellenberg, Journal of the Institute of Mathematics of Jussieu (2020): 1-41. arXiv.

  14. “Group-theoretic Johnson classes and a non-hyperelliptic curve with torsion Ceresa class”, with D. Bisogno, D. Litt, and P. Srinivasan, Épijournal de Géométrie Algébrique Volume 7. arXiv.

  15. “Nonvanishing of hyperelliptic zeta functions over finite fields”, with J. Ellenberg and M. Shusterman, Algebra & Number Theory 14 (2020), no. 7, 1895–1909, arXiv.

  16. “Newton polygon stratification of the Torelli locus in PEL-type Shimura varieties”, with E. Mantovan, R. Pries and Y. Tang, Int. Math. Res. Not. IMRN(2022), no. 9, 6464–6511. arXiv.

  17. “Ranks, 2-Selmer groups, and Tamagawa numbers of elliptic curves with ℤ∕2ℤ × ℤ∕8ℤ-torsion”, with S. Chan and J. Hanselman, Proceedings of the Thirteenth Algorithmic Number Theory Symposium, 173–189, Open Book Ser., 2, Math. Sci. Publ., Berkeley, CA arXiv.

  18. “Newton Polygons Arising for Special Families of Cyclic Covers of the Projective Line”, with E. Mantovan, R. Pries and Y. Tang, Res. Number Theory 5 (2019), no. 1, arXiv.

  19. “Newton polygons of cyclic covers of the projective line branched at three points”, with E. Mantovan, R. Pries and Y. Tang, Research Directions in Number Theory: Women in Numbers IV, arXiv.

  20. “Effective Bounds on the Dimensions of Jacobians Covering Abelian Varieties”, with J. Bruce, Proc. Amer. Math. Soc. 148 (2020), no. 2, 535-551, arXiv.

  21. “Vanishing of Hyperelliptic L-functions at the Central Point”, J. Number Theory 191 (2018), 85-103, arXiv.