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Shinichi Mochizuki

Shinichi Mochizuki
Born (1969-03-29) March 29, 1969 (age 48)
Tokyo, Japan
Nationality Japanese
Fields Mathematics
Institutions Kyoto University
Alma mater Princeton University
Doctoral advisor Gerd Faltings
Known for Proposed proof of abc conjecture,
Proved a conjecture of Grothendieck in anabelian geometry.
Notable awards JSPS Prize, Japan Academy Medal

Shinichi Mochizuki (望月 新一?, Mochizuki Shin'ichi, born March 29, 1969) is a Japanese mathematician working in number theory and geometry. He is the leader of and main contributor to anabelian geometry; his contributions include a solution of the Grothendieck conjecture in anabelian geometry about hyperbolic curves over number fields. He initiated and developed several novel related areas such as absolute anabelian geometry, mono-anabelian geometry, and combinatorial anabelian geometry. Mochizuki introduced and developed p-adic Teichmüller theory and Hodge–Arakelov theory. His more recent theories include the theory of frobenioids, anabelioids and the etale theta-function theory.

Shinichi Mochizuki is the author of the famous inter-universal Teichmüller theory (IUT), also referred to as the arithmetic deformation theory or Mochizuki theory. This theory provides a new conceptual view of numbers by using groups of symmetries coming from the full absolute Galois groups and arithmetic fundamental groups. Applications of the theory in the IUT papers provide solutions of such celebrated problems as the Szpiro conjecture, the hyperbolic Vojta conjecture, and the abc conjecture and its generalization over arbitrary number fields.

Shinichi Mochizuki was born to parents Kiichi and Anne Mochizuki. When he was five years old, Shinichi Mochizuki and his family left Japan to live in the USA. Mochizuki attended Phillips Exeter Academy and graduated in 1985. He entered Princeton University as an undergraduate at age 16 and graduated salutatorian in 1988. He then received a Ph.D. under the supervision of Gerd Faltings at age 23. He joined the Research Institute for Mathematical Sciences in Kyoto University in 1992 and was promoted to professor in 2002.


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