GONGYO, Yoshinori

Title
Professor
Field
Algebraic Geometry
Research interests
Classification of higher dimensional algebraic varieties
Current research

I am studying a geometry which is remarked by the canonical divisor of algebraic varieties. Particularly I am studying the abundance conjecture which is one of the most important conjecture in higher dimensional algebraic geometry. I also have studied (semi-) log canonical pairs, canonical bundle formulae, subadjunctions, log Fano varieties, applications of the reduction modulo positive characteristics techniques, and so on.
Selected publications
  1. "On weak Fano varieties with log canonical singularities", J. Reine Angew. Math. 665 (2012), 237--252
  2. "Abundance theorem for numerically trivial log canonical divisors of semi-log canonical pairs" J. Algebraic Geom. 22 (2013), 549--564,
  3. (with Osamu Fujino)"On canonical bundle formulas and subadjunctions" Michigan Math. J. 60, (2012), no. 3, 255--264.,
  4. "On the minimal model theory for dlt pairs of numerical log Kodaira dimension zero.", Math. Res. Lett. 18 (2011), no. 5, 991--1000,
  5. (with Brian Lehmann) "Reduction maps and minimal model theory", Compositio Math. 149, (2013) No.2, 295--308.,
  6. (with Osamu Fujino) "Log pluricanonical representations and the abundance conjecture" Compositio Math. 150, No.4, (2014) 593--620.
  7. (with Shinnosuke Okawa, Akiyoshi Sannai, Shunsuke Takagi) " Characterizaton of varieties of Fano type via singularities of Cox rings" J. Algebraic Geom. 24 (2015), no.1, 159--182.
  8. "Remarks on the non-vanishing conjecture", Algebraic geometry in East Asia--Taipei 2011, Adv. Stud. Pure Math., 65, Math. Soc. Japan, Tokyo, 2014.
  9. (with Paolo Cascini) "On the anti-canonical ring and varieties of Fano type" Saitama Math. J. Vol. 30 (2013), 27--38.
  10. (with Osamu Fujino) "On the moduli b-divisors of lc-trivial fibrations" Annales de l'institut Fourier, 64 no. 4 (2014), 1721--1735.

Memberships, activities and

Awards

The Mathematical Society of Japan

MSJ Takebe Katahiro Prize for Encouragement of Young Researchers(2011)

The second JSPS Ikushi Prize (2012)

The University of Tokyo President's Prize(2012)