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.
Some of my papers are available on the arXiv .
Preprints and Publications in Refereed Journals (with Bhargava. M.) A positive proportion of locally soluble Thue equations are globally insoluble (preprint, 20 pages), submitted in February 2016.
 (with Saradha. N. and Sharma. D.) Thue's inequalities and the hypergeometric method (preprint, 41 pages), submitted in March 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.
WORKS IN PROGRESS
 (with Vaaler. J.) Minkowski's units and relative units with small height.
 (with Vaaler. J.) On norm form equations.
 On the Diophantine equation ax^r  by^r =c
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
 Arizona Winter School 2016: Analytic Methods in Arithmetic Geometry, University of Arizona in Tucson, AZ, March 2016.

re:boot Number Theory 2016 ,
17  20 March 2016
Duke University

Diophantische Approximationen, Oberwolfach, Germany, April 2016.
 Pacific Northwest Number Theory Conference, Oregon State University Corvallis, OR, May 1415 2016.
 Leuca2016, Celebrating Michel Waldschmidt's 70th birthday, Marina di San Gregorio, Patu (Lecce), Italy, 1317 June, 2016.

Analytic number theory and Diophantine equations session, CMS Summer Meeting , Edmonton, Canada, 2427 June, 2016.
 Number Theory Down Under 4: Open Problems in Number Theory, the University of Newcastle, 2326 September, 2016.
 Women in Numbers Europe 2 (WINE2) workshop, the Nesin Mathematics Village, Turkey, 2530 September, 2016.