Eleny-Nicoleta Ionel is a Romanian mathematician whose research concerns
symplectic geometry
Symplectic geometry is a branch of differential geometry and differential topology that studies symplectic manifolds; that is, differentiable manifolds equipped with a closed, nondegenerate 2-form. Symplectic geometry has its origins in the ...
, including the study of the
Gromov–Witten invariant
In mathematics, specifically in symplectic topology and algebraic geometry, Gromov–Witten (GW) invariants are rational numbers that, in certain situations, count pseudoholomorphic curves meeting prescribed conditions in a given symplectic man ...
s and
Gopakumar–Vafa invariant
In theoretical physics, Rajesh Gopakumar and Cumrun Vafa introduced in a series of papers new topological invariants, called Gopakumar–Vafa invariants, that represent the number of BPS states on a Calabi–Yau 3-fold. They lead to the following ...
. 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
In algebraic geometry, the tautological ring is the subring of the Chow ring of the moduli space of curves generated by tautological classes. These are classes obtained from 1 by pushforward along various morphisms described below. The tautological ...
of the
moduli space of genus-''g'' curves.
She is a professor of mathematics at
Stanford University, where she is chair of the mathematics department.
Education and career
Ionel is from
Iași. She is the daughter of Adrian Ionel, a professor at the
. She attended the
Costache Negruzzi National College
The Costache Negruzzi National College (''Colegiul Național „Costache Negruzzi”'') in Iași is one of the most prestigious high schools in Romania. Founded in 1895 as the ''Boarding High School of Iași'', it was named after the writer and p ...
, graduating in 1987. She earned a bachelor's degree from
Alexandru Ioan Cuza University
The Alexandru Ioan Cuza University ( Romanian: ''Universitatea „Alexandru Ioan Cuza"''; acronym: UAIC) is a public university located in Iași, Romania. Founded by an 1860 decree of Prince Alexandru Ioan Cuza, under whom the former Academia ...
in 1991, and completed her Ph.D. in 1996 from
Michigan State University
Michigan State University (Michigan State, MSU) is a public university, public Land-grant university, land-grant research university in East Lansing, Michigan. It was founded in 1855 as the Agricultural College of the State of Michigan, the fi ...
. Her dissertation, ''Genus One Enumerative Invariants in
'', was supervised by Thomas H. Parker.
After postdoctoral research at the
Mathematical Sciences Research Institute
The Simons Laufer Mathematical Sciences Institute (SLMath), formerly the Mathematical Sciences Research Institute (MSRI), is an independent nonprofit mathematical research institution on the University of California campus in Berkeley, Califo ...
in
Berkeley, California
Berkeley ( ) is a city on the eastern shore of San Francisco Bay in northern Alameda County, California, United States. It is named after the 18th-century Irish bishop and philosopher George Berkeley. It borders the cities of Oakland and Emer ...
and a position as
C. L. E. Moore instructor at the
Massachusetts Institute of Technology
The Massachusetts Institute of Technology (MIT) is a Private university, private Land-grant university, land-grant research university in Cambridge, Massachusetts. Established in 1861, MIT has played a key role in the development of modern t ...
, she joined the
University of Wisconsin–Madison
A university () is an institution of higher (or tertiary) education and research which awards academic degrees in several academic disciplines. ''University'' is derived from the Latin phrase ''universitas magistrorum et scholarium'', which ...
faculty in 1998, and moved to Stanford in 2004.
Recognition
Ionel is a
Sloan Research Fellow
The Sloan Research Fellowships are awarded annually by the Alfred P. Sloan Foundation since 1955 to "provide support and recognition to early-career scientists and scholars". This program is one of the oldest of its kind in the United States.
...
and a Simons Fellow. She was an invited speaker at the
International Congress of Mathematicians
The International Congress of Mathematicians (ICM) is the largest conference for the topic of mathematics. It meets once every four years, hosted by the International Mathematical Union (IMU).
The Fields Medals, the Nevanlinna Prize (to be rename ...
in 2002. She was selected as a Fellow of the
American Mathematical Society
The American Mathematical Society (AMS) is an association of professional mathematicians dedicated to the interests of mathematical research and scholarship, and serves the national and international community through its publications, meetings ...
in the 2020 Class, for "contributions to symplectic geometry and the geometric analysis approach to Gromov–Witten Theory".
Selected publications
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References
{{DEFAULTSORT:Ionel, Eleny
Year of birth missing (living people)
Living people
20th-century American mathematicians
21st-century American mathematicians
20th-century Romanian mathematicians
American women mathematicians
Alexandru Ioan Cuza University alumni
Massachusetts Institute of Technology School of Science faculty
University of Wisconsin–Madison faculty
Stanford University faculty
Michigan State University alumni
20th-century women mathematicians
21st-century women mathematicians
21st-century Romanian mathematicians
Sloan Research Fellows
Fellows of the American Mathematical Society
Scientists from Iași
Costache Negruzzi National College alumni
Romanian emigrants to the United States
20th-century American women
21st-century American women