So Okada

Contact:

Email: so.okada@gmail.com.
Office: Yukawa Institute 107, Kyoto University, Japan.
Postal Address: Research Institute for Mathematical Sciences, Kyoto University, Kyoto 606-8502 Japan.

Academic Track:

May 1st 09--March 31st 11, Research Institute for Mathematical Sciences, Kyoto.
Nov 1st -- Dec 31st 10 (planned), Nov 1st -- Dec 31st 09, Nov 1st -- Nov 30th 08, Dec 5th 07 -- Feb 24th 08, Institut des Hautes \'Etudes Scientifiques, Bures-sur-Yvette.
May 9th 08 -- Apr 14th 09, Australian National University, Canberra.
Sep 1st 06 -- Oct 31st 07, Max-Planck-Institut f\"ur Mathematk, Bonn.
Sep 1st 06, PhD, University of Massachusetts Amherst, Amherst, Advisor: Ivan Mirkovi\'c.

Short visits: Nov 24th 08 -- Nov 28th 08, College de France visiting Prof. Don Zagier, Paris; Aug 11th 08 -- Aug 15th 08, Max-Planck-Institut f\"ur Mathematk, Bonn; Nov 1st -- Nov 17th 07, University of Texas Austin, Austin; Mar 11th -- Mar 31st 08, Institute of Advanced Study, Princeton; Jun 29th -- Jul 06th 08, Feb 25th -- Feb 29th 08, Centre de Recerca Mathem\`atica, Barcelona.

Research Interests:

Algebraic geometry and triangulated categories; in particular, stability conditions of Bridgeland types and related aspects of Kontsevich's homological mirror symmetry. Stability conditions modernize Mumford stabilities typically within the framework of triangulated categories, and one studies analogs of Nakajima's quiver varieties. It mathematically incarnates so-called Douglas' Π-stabilities of D-branes in superstring theory.
On above topics, in case you want something to read, here is a list of non-exhaustive online resources: Derived categories of sheaves: skimming by Caldararu, Categories derivees et geometrie birationnelle by Rouquier, The geometry of moduli spaces of shaves by Huybrechts and Lehn, Crawley-Boevey's web, Keller's web, Fukaya's web, Nakajima's web, Spaces of stability conditions by Bridgeland and his preprints and talks, D-Branes on Calabi-Yau manifolds by Aspinwall, Dirichlet branes, homological mirror symmetry, and stability by Douglas, Lectures on Mirror Symmetry, Derived Categories, and D-branes by Kapustin and Orlov, and Homological aspects of mirror symmetry, Donaldson-Thomas invariants by Kontsevich, Motivic Donaldson-Thomas invariants: summary of results by Kontsevich and Soibelman, Generalized Donaldson-Thomas invariants by Joyce, ArXiv search, and Google scholar search.

Research Papers:

Homological mirror symmetry of Fermat polynomials, arXiv:0910.2014.
Joyce invariants for K3 surfaces and mock theta functions, with Anton Mellit, Commun. Number Theory Phys. (2009) Vol 3 Num 4 p.655-676.
Topologies on a triangulated category, math.AG/0701507.
On stability manifolds of Calabi-Yau surfaces, IMRN (2006) Vol. 2006 : article 58743, 16 pages, 2006.
Stability manifold of P^1, J. Algebraic Geom. 15 (2006), 487-505.

Expository Paper:

Three-manifolds according to Grisha Perelman, (with Professor Rob Kusner and Eli BeechHaven), Sugaku Seminar 42/10 (2003) 4-6 (in Japanese); also UMass Amherst Department of Math&Stat Newsletter 18 (2003) 1-3

Grant:

JSPS Grant-in-Aid for Young Scientists (21840030), Oct 2009 -- Mar 2011.

Talks:

XIV International Conference on Representations of Algebras, National Olympics Memorial Youth Center, Tokyo, Aug 15th in 10.
Workshop on Period Integrals and Motives, University of Tokyo, Feb 17th in 10.
Differential Topology Seminar, Kyoto University, Jan 26th in 10.
Algebraic Geometry Seminar, Kyoto University, Jan 15th in 10.
Departmental Lecture, Kinki University, Oct 22nd in 09.
Summer Seminar, Tokyo Metropolitan University, organized by Uehara, Aug 20nd and 21st in 09.
Algebra and Topology Seminar, Australian National University, Apr 07th in 09 and May 20th Jun 10th Sep 9th Sep 23rd in 08.
Homotopy Structures in Geometry and Algebra; Derived Categories, Higher Categories, Centre de Recerca Mathem\`atica, Jul 1st 08.
Special Lecture, Institute of Advanced Study, Mar 28th 08.
Geometry Seminar, University of Texas Austin, Nov 1st 07.
AMS Summer Research Conference, Derived Categories in Mathematics and Physics, Snowbird, Utah, Jun 18th 07.
Mini-workshop on Stability Conditions, Derived Categories, etc., MPIM, Apr 28th 07.
Seminar Algebraische Geometrie, MPIM, Nov 9th 06.
Geometric Representation Theory Conference, University of Arizona, Mar 26th 05.
Several talks at University of Massachusetts Amherst.

Conferences Attended:

Focus Week on New Invariants and Wall Crossing, IPMU, Mar 09.
Algebraic and Geometric Deformation Spaces, MPIM, Aug 08.
HOCAT 2008. Homotopy Structures in Geometry and Algebra; Derived Categories, Higher Categories, CRM, June-July 08.
Algebro-Geometric Derived Categories and Applications, IAS, Mar 08.
Mathematische Arbeitstagung, MPIM, Jun 07.
AMS Summer Institute in Algebraic Geometry, Seattle, Jul 25--Aug 12, 05, and Graduate Student Warm-Up Workshop, Jun 18--Jul 22, 05.
The Unity of Mathematics in honor of the 90th birthday of I. M. Gelfand, Harvard, Aug 31--Sep 4, 03.
Ricci flow and geometrization of three-manifolds, G. Perelman, Simons Lecture Series, MIT, Apr 03.
A number of others.

Other academic activities:

Organized Working Seminar for Stability Conditions and Related Topics at MPIM, MPIM, May 1--Jun 15, 07.

Math Seminar Info in Japan

Teaching Experiences:

Short Bio:

I was born in 76 at Recife Brazil. My father was teaching fish farming technology at Universidade Federal de Pernambuco as a member of Japan International Cooperation Agency. My parents came back to Japan, when I was two and a half. I grew up in Tokyo, and took BA and MA at International Christian University (a.k.a. Isolated Crazy Utopia). Lately, it has happened sometimes that I don't know where on earth I will be in the next week or even tomorrow, but it has turned out rewarding. I would like to thank people who has helped me.