Email: jiuyawang "at" math.wisc.edu
Office: Van Vleck 318
I am a fourth year graduate student in the math department of University of Wisconsin, Madison.
I am interested in number theory and many other algebraic topics.
I am currently working on counting problems arising in number theory.
My advisor is Melanie Matchett Wood.
Malle's conjecture for \(S_n\times A\) for \(n = 3,4\) , preprint.
We propose a framework to prove Malle's conjecture for the compositum of two number fields based on proven results of Malle's conjecture and good uniformity estimates. Using this method we can prove Malle's conjecture for \(S_n\times A\) over any number field \(k\) for \(n=3\) with \(A\) an abelian group of order relatively prime to 2 and \(n= 4\) with \(A\) an abelian group of order relatively prime to 6. As a consequence, we prove that Malle's conjecture is true for \(C_3\wr C_2\) in its \(S_9\) representation, whereas its \(S_6\) representation is the first counter example of Malle's conjecture given by Kluners.
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