Eleny Ionel

Eleny-Nicoleta Ionel is a Romanian mathematician whose research concerns symplectic geometry, including the study of the Gromov–Witten invariants and Gopakumar–Vafa invariant. Among her most significant results are the construction of relative Gromov-Witten invariants of symplectic manifolds, and the proof of the vanishing in codimension at least g of the tautological ring of the moduli space of genus-g curves.

She is a professor of mathematics at Stanford University, where she was chair of the mathematics department from 2016 to 2019.^[1]

Education and career

Ionel is from Iași.^[2] She is the daughter of Adrian Ionel, a professor at the Ion Ionescu de la Brad University of Agricultural Sciences and Veterinary Medicine of Iași.^[3] She attended the Costache Negruzzi National College, graduating in 1987.^[2] She earned a bachelor's degree from Alexandru Ioan Cuza University in 1991,^[1] and completed her Ph.D. in 1996 from Michigan State University. Her dissertation, Genus One Enumerative Invariants in ${\displaystyle \mathbf {P} ^{n}}$ , was supervised by Thomas H. Parker.^[1][4]

After postdoctoral research at the Mathematical Sciences Research Institute in Berkeley, California and a position as C. L. E. Moore instructor at the Massachusetts Institute of Technology, she joined the University of Wisconsin–Madison faculty in 1998, and moved to Stanford in 2004.^[1]

Recognition

Ionel is a Sloan Research Fellow and a Simons Fellow. She was an invited speaker at the International Congress of Mathematicians in 2002.^[1] She was selected as a Fellow of the American Mathematical Society in the 2020 Class, for "contributions to symplectic geometry and the geometric analysis approach to Gromov–Witten Theory".^[5]

Selected publications

• Ionel, Eleny-Nicoleta (2002), "Topological recursive relations in ${\displaystyle H^{2g}({\mathcal {M}}_{g,n})}$ ", Inventiones Mathematicae, 148 (3): 627–658, doi:10.1007/s002220100205, MR 1908062, S2CID 125964304
• Ionel, Eleny-Nicoleta; Parker, Thomas H. (2003), "Relative Gromov-Witten invariants", Annals of Mathematics, Second Series, 157 (1): 45–96, arXiv:math/9907155, doi:10.4007/annals.2003.157.45, MR 1954264, S2CID 13395029
• Ionel, Eleny-Nicoleta; Parker, Thomas H. (2004), "The symplectic sum formula for Gromov-Witten invariants", Annals of Mathematics, Second Series, 159 (3): 935–1025, arXiv:math/0010217, doi:10.4007/annals.2004.159.935, MR 2113018, S2CID 9397839
• Ionel, Eleny-Nicoleta; Parker, Thomas H. (2018), "The Gopakumar–Vafa formula for symplectic manifolds", Annals of Mathematics, Second Series, 187 (1): 1–64, arXiv:1306.1516, doi:10.4007/annals.2018.187.1.1, MR 3739228, S2CID 7070264

References

1. Faculty profile, Stanford University, retrieved 2018-02-24
2. Ginju, Liliana (July 24, 2012). "Interviu cu ieșeanca profesoară la Universitatea Stanford". Ziarul de Iași (in Romanian).
3. Popa, Cristinel C. (June 22, 2008), "Prima româncă profesor la Stanford", Jurnalul Național (in Romanian)
4. Eleny Ionel at the Mathematics Genealogy Project
5. "2020 Class of the Fellows". American Mathematical Society. Retrieved 3 November 2019.