Agata Smoktunowicz

Agata Smoktunowicz FRSE (born 12 October 1973) is a Polish mathematician who works as a professor at the University of Edinburgh. Her research is in abstract algebra.^[1][2]

Contributions

Smoktunowicz's contributions to mathematics include constructing noncommutative nil rings, solving a "famous problem" formulated in 1970 by Irving Kaplansky.^[1][3] She proved the Artin–Stafford gap conjecture according to which the Gelfand–Kirillov dimension of a graded domain cannot fall within the open interval (2,3).^[1][4] She also found an example of a nil ideal of a ring R that does not lift to a nil ideal of the polynomial ring R[X], disproving a conjecture of Amitsur and hinting that the Köthe conjecture might be false.^[5][6][7]

Awards and honours

Smoktunowicz was an invited speaker at the International Congress of Mathematicians in 2006.^[1] She won the Whitehead Prize of the London Mathematical Society in 2006, the European Mathematical Society Prize in 2008, and the Sir Edmund Whittaker Memorial Prize of the Edinburgh Mathematical Society in 2009.^[1] In 2009, she was elected as a fellow of the Royal Society of Edinburgh,^[8] and in 2012, she became one of the inaugural fellows of the American Mathematical Society.^[9]

Education and career

Smoktunowicz earned a master's degree from the University of Warsaw in 1997, a Ph.D. in 1999 from the Institute of Mathematics of the Polish Academy of Sciences, and a habilitation in 2007, again from the Polish Academy of Sciences. After temporary positions at Yale University and the University of California, San Diego, she joined the University of Edinburgh in 2005, and was promoted to professor there in 2007.^[2]

Selected publications

• Smoktunowicz, Agata (2000), "Polynomial rings over nil rings need not be nil", Journal of Algebra 233 (2): 427–436, doi:10.1006/jabr.2000.8451, MR 1793911.
• Huh, Chan; Lee, Yang; Smoktunowicz, Agata (2002), "Armendariz rings and semicommutative rings", Communications in Algebra 30 (2): 751–761, doi:10.1081/AGB-120013179, MR 1883022.
• Smoktunowicz, Agata (2002), "A simple nil ring exists", Communications in Algebra 30 (1): 27–59, doi:10.1081/AGB-120006478, MR 1880660.
• Smoktunowicz, Agata (2006), "There are no graded domains with GK dimension strictly between 2 and 3", Inventiones Mathematicae 164 (3): 635–640, doi:10.1007/s00222-005-0489-1, MR 2221134.

References

1. Agata Smoktunowicz, European Women in Mathematics, retrieved 2014-12-31.
2. Currculum vitae, retrieved 2014-12-31.
3. Smoktunowicz (2002). For the attribution to Kaplansky, see MR 1880660.
4. Smoktunowicz (2006).
5. Smoktunowicz (2000).
6. Lam, T.Y., A First Course in Noncommutative Rings (2001), p.171.
7. Nielsen, Pace P. (2013), "Simplifying Smoktunowicz's extraordinary example", Communications in Algebra 41 (11): 4339–4350, doi:10.1080/00927872.2012.695838, MR 3169522.
8. Fellows, Royal Society of Edinburgh, retrieved 2014-12-31.
9. List of Fellows of the American Mathematical Society, retrieved 2014-12-31.