Name: Asuka Shiga

 

Department of Mathematics, Graduate School of Science, Tohoku University

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Research:
I study the Tate–Shafarevich group Ш(E/K) of an elliptic curve E over a number field K. The Tate–Shafarevich group can be interpreted as the group of counterexamples to the local-global principle for genus-one curves, and it also appears in the Birch and Swinnerton-Dyer (BSD) conjecture, making it a fascinating object of study. Recently, as a continuation of my previous work on elliptic curves sharing the same BSD invariants, I have been investigating the visibility phenomenon, in which elements of the Tate–Shafarevich group become visible inside higher-dimensional abelian varieties.

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Favorite group: Tate-Shafarevich group

 

Favorite topologies: Fürstenberg topology, Krull topology

 

Favorite group scheme: Néron model

 

Favorite music: Makoto Ozone, "My Tomorrow," Sukashikao, "Tatoeba Asa no Bus-tei de" (For Example, at the Morning Bus Stop), Tia, "blue," Tokyo Jihen "Gunjou Biyori" (Ultramarine Weather), etc.

 

Favorite anime: Sonny Boy, Samurai Champloo

 

Favorite character: Nekojiru

 

Favorite painters: René Magritte, Van Gogh

 

Favorite coffee shops: Ramble (Shinjuku), Umeda Coffee-kan YC (Umeda)

 

Favorite books (non-mathematics): Bertrand Russell "The Conquest of Happiness," Eto Mori, "Colorful"

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