Alina Carmen Cojocaru is a Romanian

mathematician A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, structure, space, models, and change. History On ...

who works in

number theory Number theory (or arithmetic or higher arithmetic in older usage) is a branch of pure mathematics devoted primarily to the study of the integers and integer-valued functions. German mathematician Carl Friedrich Gauss (1777–1855) said, "Mat ...

and is known for her research on

elliptic curve In mathematics, an elliptic curve is a smooth, projective, algebraic curve of genus one, on which there is a specified point . An elliptic curve is defined over a field and describes points in , the Cartesian product of with itself. If ...

arithmetic geometry In mathematics, arithmetic geometry is roughly the application of techniques from algebraic geometry to problems in number theory. Arithmetic geometry is centered around Diophantine geometry, the study of rational points of algebraic varieties. ...

, and

sieve theory Sieve theory is a set of general techniques in number theory, designed to count, or more realistically to estimate the size of, sifted sets of integers. The prototypical example of a sifted set is the set of prime numbers up to some prescribed lim ...

. She is a professor of mathematics at the

University of Illinois at Chicago The University of Illinois Chicago (UIC) is a public research university in Chicago, Illinois. Its campus is in the Near West Side community area, adjacent to the Chicago Loop. The second campus established under the University of Illinois ...

and a researcher in the

Institute of Mathematics of the Romanian Academy The "Simion Stoilow" Institute of Mathematics of the Romanian Academy is a research institute in Bucharest, Romania. It is affiliated with the Romanian Academy, and it is named after Simion Stoilow, one of its founders. History On December 2 ...

. Cojocaru earned her Ph.D. from Queen's University in

Kingston, Ontario Kingston is a city in Ontario, Canada. It is located on the north-eastern end of Lake Ontario, at the beginning of the St. Lawrence River and at the mouth of the Cataraqui River (south end of the Rideau Canal). The city is midway between To ...

, in 2002. Her dissertation, ''Cyclicity of Elliptic Curves Modulo p'', was jointly supervised by

M. Ram Murty Maruti Ram Pedaprolu Murty, FRSC (born 16 October 1953 in Guntur, India) is an Indo-Canadian mathematician at Queen's University, where he holds a Queen's Research Chair in mathematics. Biography M. Ram Murty is the brother of mathematician ...

and Ernst Kani.

Books

Cojocaru is an author of the book *''An Introduction to Sieve Methods and their Applications'' (with M. Ram Murty, London Mathematical Society Student Texts 66, Cambridge University Press, 2006). She is also an editor of *''Women in Numbers: Research Directions in Number Theory'' (with Kristin Lauter, Rachel Justine Pries, and Renate Scheidler, Fields Institute Communications 60, American Mathematical Society, 2011). *''Scholar: A Scientific Celebration Highlighting Open Lines of Arithmetic Research: Conference in Honour of M. Ram Murty's Mathematical Legacy on His 60th Birthday'' (with C. David and F. Pappalardi, Contemporary Mathematics 655, American Mathematical Society, 2016)

Selected publications

* Cojocaru, Alina Carmen; Murty, M. Ram (2004), "Cyclicity of elliptic curves modulo and elliptic curve analogues of Linnik's problem". '' Math. Ann.'' 330, no. 3, 601–625
MR 2099195
* Cojocaru, Alina Carmen (2005), "On the surjectivity of the Galois representations associated to non-CM elliptic curves. With an appendix by Ernst Kani". '' Canad. Math. Bull.'' 48, no. 1, 16–31
MR 2118760.
* Cojocaru, Alina Carmen; Hall, Chris (2005). "Uniform results for Serre's theorem for elliptic curves". '' Int. Math. Res. Not.'', no. 50, 3065–3080
MR 2189500

References

External links

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Year of birth missing (living people) Living people 21st-century Romanian mathematicians American women mathematicians 21st-century American mathematicians University of Illinois Chicago faculty Number theorists Queen's University at Kingston alumni 21st-century women mathematicians 21st-century American women {{US-mathematician-stub