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I study number theory. I’m especially interested in p-adic Langlands correspondence which relates p-adic Galois representations with p-adic automorphic representations. Up to now (at least to my knowledge), p-adic Langlands correspondence is known only for GL_{2/Q} case. In my previous works, I found many deep relationships between p-adic Langlands correspondence for GL_{2/Q} and (global, or local) Iwasawa main conjecture for p-adic Galois representations of rank two.