Shabnam Akhtari
Assistant Professor Address: Fenton Hall Eugene, OR 974031222 USA
EMail: akhtari AT uoregon DOT edu 
Research Interests
Number Theory, Diophantine Analysis, Geometry of Numbers.
My research is funded by the National Science Foundation grant DMS1601837.
Some of my papers are available on the arXiv .
Preprints and Publications in Refereed Journals (with Vaaler. J.) Minkowski's theorem on independent conjugate units (preprint, 36 pages), submitted for publication in 2016.
 (with Bhargava. M.) A positive proportion of locally soluble Thue equations are globally insoluble (preprint, 20 pages), submitted for publication in 2016.
 (with Saradha. N. and Sharma. D.) Thue's inequalities and the hypergeometric method (preprint, 43 pages), submitted for publication in 2016.
 (with Vaaler. J.) Heights, Regulators and Schinzel's determinant inequality. Acta Arithmetica 172 (2016), 285298.
 Representation of small integers by binary forms. The Quarterly Journal of Mathematics: Oxford Journals. (2015) 66 (4): 10091054.
 Integral points on a certain family of elliptic curves. Journal de Theorie des Nombres de Bordeaux. 27 no. 2 (2015), p. 353373.
 Cubic Thue inequalities with positive discriminant. Publicationes Mathematicae Debrecen. 83/4 (2013), 727739.

(with David. C., Hahn. H. and Thompson. L.) Distribution of squarefree values of sequences associated with elliptic curves. Contemporary Mathematics, Amer. Math. Soc. Volume 606 (2013), 171188.
 Representation of unity by binary forms. Transactions of the American Mathematical Society. 364 (2012), 21292155.
 Upper bounds for the number of solutions to quartic Thue equations.
International Journal of Number Theory. Volume 8, Issue 2 (2012), 335360.

(With Saradha. N.) Irreducibility of some orthogonal polynomials. Indagationes Mathematicae. 21 (2011), 127137.
 The method of ThueSiegel for quartic forms. Acta Arithmetica. 141 (2010), no. 1, 131.
 (With Okazaki. R.) Quartic Thue equations. Journal of Number Theory. 130 (2010) no. 1, 4060.
 The Diophantine equation aX^4  bY^2 = 1. Journal fuer die reine und angewandte Mathematik (Crelle's Journal). 630 (2009), 3357.
 Cubic Thue Equations. Publicationes Mathematicae Debrecen. 75 (2009), no. 34, 459483.
 (with Togbe. A. and Walsh. P. G.) On the equation aX^4  bY^2 = 2. Acta Arithmetica 131 (2008), 145169.
Addendum: Acta Arithmetica 137 (2009), 199202.
 (with Choi. K. K.) On the cyclotomic Littlewood polynomials. Journal of Number Theory 128 (2008), no. 4, 884894.
DISSERTATIONS
 Ph.D Thesis: Thue Equations and Related Topics, University of British Columbia, 2008.
 M.Sc Thesis: Characterizing Cyclotomic Littlewood Polynomials, Simon Fraser University, 2004.
LINKS
Recent and Upcoming Trips

Women in Numbers
Europe 2 (WINE2) workshop, the Nesin Mathematics Village, Turkey, 2530 September, 2016.
Relocated to Lorentz Center Leiden, the Netherlands.
 2016 Fields Medal Symposium, the Fields Institute, Toronto, 14 November, 2016.

Analytic Number Theory Session, The Canadian Mathematical Society, Winter meeting, Niagara Falls, Ontario, 25 December 2016.

Thematic Program on Unlikely Intersections, Heights, and Efficient Congruencing, The Fields Institute for
Research in Mathematical Sciences, Toronto, Canada, Winter 2017.

Workshop on Diophantine approximation and related fields: York2017, University of York, UK, 26 to 30 June 2017
 Diophantine Approximation and Algebraic Curves, Banff International Research Station, Canada, 27 July 2017.