Publications

2012
Michael Larsen and Shalev, Aner . 2012. “Fibers Of Word Maps And Some Applications”. Journal Of Algebra, 354, 1, Pp. 36-48.
Martin W Liebeck, Nikolov, Nikolay , and Shalev, Aner . 2012. “Product Decompositions In Finite Simple Groups”. Bulletin Of The London Mathematical Society, 44, 3, Pp. 469-472.
Martin Liebeck, O’Brien, E, Shalev, Aner , and Tiep, Pham . 2012. “Products Of Squares In Finite Simple Groups”. Proceedings Of The American Mathematical Society, 140, 1, Pp. 21-33.
2011
Martin W Liebeck, O'Brien, EA , Shalev, Aner , and Tiep, Pham Huu . 2011. “Commutators In Finite Quasisimple Groups”. Bulletin Of The London Mathematical Society, 43, 6, Pp. 1079-1092.
Martin W Liebeck, Nikolov, Nikolay , and Shalev, Aner . 2011. “Groups Of Lie Type As Products Of Sl2 Subgroups”. Journal Of Algebra, 326, 1, Pp. 201-207.
William M Kantor, Lubotzky, Alexander , and Shalev, Aner . 2011. “Invariable Generation And The Chebotarev Invariant Of A Finite Group”. Journal Of Algebra, 348, 1, Pp. 302-314.
Michael Larsen, Shalev, Aner , and Tiep, Pham Huu . 2011. “The Waring Problem For Finite Simple Groups”. Annals Of Mathematics, Pp. 1885-1950.
Gili Schul and Shalev, Aner . 2011. “Words And Mixing Times In Finite Simple Groups”. Groups, Geometry, And Dynamics, 5, 2, Pp. 509-527.
2010
Martin W Liebeck, Nikolov, Nikolay , and Shalev, Aner . 2010. “A Conjecture On Product Decompositions In Simple Groups”. Groups, Geometry, And Dynamics, 4, 4, Pp. 799-812.
Mikhail Belolipetsky, Gelander, Tsachik , Lubotzky, Alexander , and Shalev, Aner . 2010. “Counting Arithmetic Lattices And Surfaces”. Annals Of Mathematics, Pp. 2197-2221.
Martin W Liebeck, O'Brien, Eamonn A, Shalev, Aner , and Tiep, Pham Huu . 2010. “The Ore Conjecture”. Journal Of The European Mathematical Society, 12, 4, Pp. 939-1008.
2009
Timothy C Burness, Liebeck, Martin W, and Shalev, Aner . 2009. “Base Sizes For Simple Groups And A Conjecture Of Cameron”. Proceedings Of The London Mathematical Society, 98, 1, Pp. 116-162.
Shelly Garion and Shalev, Aner . 2009. “Commutator Maps, Measure Preservation, And T-Systems”. Transactions Of The American Mathematical Society, 361, 9, Pp. 4631-4651.
Alexander Gamburd, Hoory, Shlomo , Shahshahani, Mehrdad , Shalev, Aner , and Virág, Balint . 2009. “On The Girth Of Random Cayley Graphs”. Random Structures & Algorithms, 35, 1, Pp. 100-117.
Michael Larsen and Shalev, Aner . 2009. “Word Maps And Waring Type Problems”. Journal Of The American Mathematical Society, 22, 2, Pp. 437-466.
Aner Shalev. 2009. “Word Maps, Conjugacy Classes, And A Noncommutative Waring-Type Theorem”. Annals Of Mathematics, Pp. 1383-1416.
2008
Michael Larsen and Shalev, Aner . 2008. “Characters Of Symmetric Groups: Sharp Bounds And Applications”. Inventiones Mathematicae, 174, 3, Pp. 645-687.
Aner Shalev. 2008. “The Density Of Subgroup Indices”. Journal Of The Australian Mathematical Society, 85, 2, Pp. 257-267.
Aner Shalev. 2008. “Mixing And Generation In Simple Groups”. Journal Of Algebra, 319, 7, Pp. 3075-3086.
2007
Robert Guralnick, Plotkin, Eugene , and Shalev, Aner . 2007. “Burnside-Type Problems Related To Solvability”. International Journal Of Algebra And Computation, 17, 05n06, Pp. 1033-1048.