Here's the English translation:

Name: Asuka Shiga

Research: I am studying the Tate-Shafarevich group Ш(E/K) (Sha) of elliptic curves E/K over algebraic number fields K. The Tate-Shafarevich group Ш can be interpreted as the group consisting of counterexamples to the local-global principle for genus 1 curves, and it is a fascinating object that also appears in the BSD conjecture. Recently, I have been investigating elliptic curves that share BSD invariants.

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Affiliation: 2nd-year doctoral student, Department of Mathematics, Graduate School of Science, Tohoku University

 

Background: Osaka Prefectural Kitano High School → Department of Mathematics, Faculty of Science, Kobe University → Department of Mathematics, Graduate School of Science, Tohoku University

 

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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