Anabelian geometry Inter-universal Teichmüller theory
Awards
JSPS Prize, Japan Academy Medal[1]
Scientific career
Fields
Mathematics
Institutions
Kyoto University
Doctoral advisor
Gerd Faltings
Shinichi Mochizuki (望月 新一, Mochizuki Shin'ichi, born March 29, 1969) is a Japanese mathematician working in number theory and arithmetic geometry. He is one of the main contributors to anabelian geometry. His contributions include his solution of the Grothendieck conjecture in anabelian geometry about hyperbolic curves over number fields. Mochizuki has also worked in Hodge–Arakelov theory and p-adic Teichmüller theory. Mochizuki developed inter-universal Teichmüller theory,[2][3][4][5] which has attracted attention from non-mathematicians due to claims it provides a resolution of the abc conjecture.[6]
^ abcMochizuki, Shinichi. "Curriculum Vitae" (PDF). Retrieved 14 September 2012.
^Mochizuki, Shinichi (2021). "Inter-universal Teichmüller Theory I: Construction of Hodge Theaters" (PDF). Publications of the Research Institute for Mathematical Sciences. 57 (1–2): 3–207. doi:10.4171/PRIMS/57-1-1. S2CID 233829305.
^Mochizuki, Shinichi (2021). "Inter-universal Teichmüller Theory II: Hodge–Arakelov-Theoretic Evaluation" (PDF). Publications of the Research Institute for Mathematical Sciences. 57 (1–2): 209–401. doi:10.4171/PRIMS/57-1-2. S2CID 233794971.
^Mochizuki, Shinichi (2021). "Inter-universal Teichmüller Theory III: Canonical Splittings of the Log-Theta-Lattice" (PDF). Publications of the Research Institute for Mathematical Sciences. 57 (1–2): 403–626. doi:10.4171/PRIMS/57-1-3. S2CID 233777314.
^Mochizuki, Shinichi (2021). "Inter-universal Teichmüller Theory IV: Log-Volume Computations and Set-Theoretic Foundations" (PDF). Publications of the Research Institute for Mathematical Sciences. 57 (1–2): 627–723. doi:10.4171/PRIMS/57-1-4. S2CID 3135393.
^Crowell 2017.
and 25 Related for: Shinichi Mochizuki information
ShinichiMochizuki (望月 新一, Mochizuki Shin'ichi, born March 29, 1969) is a Japanese mathematician working in number theory and arithmetic geometry. He is...
conjecture have been made, but none have gained broad acceptance. ShinichiMochizuki claimed to have a proof in 2012, but the conjecture is still regarded...
film director Saya Mochizuki (born 1976), model Shigeyoshi Mochizuki (born 1973), association football player ShinichiMochizuki (born 1969), mathematician...
Nakamura and Akio Tamagawa (for affine curves), then completed by ShinichiMochizuki -- see survey. The "anabelian question" has been formulated as How...
finite extensions of global fields. Frobenioids were introduced by ShinichiMochizuki (2008). The word "Frobenioid" is a portmanteau of Frobenius and monoid...
was Japanese mathematician ShinichiMochizuki. Later, an article was published in The Age newspaper that claimed that Mochizuki denied these speculations...
has been the formal supervisor of over a dozen students, including ShinichiMochizuki, Wieslawa Niziol, and Nikolai Dourov. Fields Medal (1986) Guggenheim...
in organizing the study of inter-universal Teichmüller theory of ShinichiMochizuki. He is the author of a survey and a general article on this theory...
pharmacology Inter-universal Teichmüller theory, a mathematical theory by ShinichiMochizuki IU (singer) (born 1993), South Korean singer I U (EP), a 2011 Japanese...
Nakamoto. In May 2013, Ted Nelson speculated that Japanese mathematician ShinichiMochizuki is Satoshi Nakamoto. Later in 2013 the Israeli researchers Dorit Ron...
Indigenous bundles for curves over p-adic fields were introduced by ShinichiMochizuki (1996) in his study of p-adic Teichmüller theory. Gunning, Robert...
3.31) Michio Yamada (2017.4.1 – present) Takashi Kumagai ShinichiMochizuki Takurō Mochizuki, a plenary speaker at the International Congress of Mathematicians...
Formulated by David Masser and Joseph Oesterlé. Proof claimed in 2012 by ShinichiMochizuki n/a 2440 Agoh–Giuga conjecture number theory Takashi Agoh and Giuseppe...
Castelvecchi, Davide (7 October 2015). "The biggest mystery in mathematics: ShinichiMochizuki and the impenetrable proof". Nature. 526 (7572): 178–181. Bibcode:2015Natur...
podcaster Hrishikesh Hirway, humorist Greg Daniels; mathematicians ShinichiMochizuki, David Mumford, and Lloyd Shapley, winner of the 2012 Nobel Prize...
fundamental groups and nonarchimedean theta functions, notes on the work of ShinichiMochizuki, Eur. J. Math., 2015 (PDF) Fesenko, Ivan (2021), Class field theory...
fundamental groups and nonarchimedean theta functions, notes on the work of ShinichiMochizuki" (PDF), European Journal of Mathematics, 1 (3): 405–440, doi:10...
fundamental groups and nonarchimedean theta functions, notes on the work of ShinichiMochizuki" (PDF). European Journal of Mathematics. 1 (3): 405–440. doi:10...
curves with r marked points in characteristic p, of degree p3g–3+r. Mochizuki, Shinichi (1999), Foundations of p-adic Teichmüller theory, AMS/IP Studies...
based on a 2007 paper by Mnëv. In 2012, the Japanese mathematician ShinichiMochizuki released online a series of papers in which he claims to prove the...
geometric Szpiro's conjecture which appears to be the nearest to ShinichiMochizuki's claimed proof of the arithmetic Szpiro conjecture. Bogomolov obtained...
Global Information