So Okada

Contact:

Email: so.okada@gmail.com.
Address: Masukawa Memorial Hall 502, Research Institute for Mathematical Sciences, Kyoto University, Kyoto 606-8502 Japan.

Academic Track:

May 1st 09 - March 31st 12, Global Center of Excellence (GCOE) research fellow, Research Institute for Mathematical Sciences, Kyoto University.
Nov 1st - Dec 31st 10, Nov 1st - Dec 31st 09, Nov 1st - Nov 30th 08, Dec 5th 07 - Feb 24th 08, invited visitor, Institut des Hautes \'Etudes Scientifiques, Bures-sur-Yvette.
May 9th 08 - Apr 14th 09, research fellow, Mathematical Sciences Institute, Australian National University, Canberra.
Sep 1st 06 - Oct 31st 07, research fellow, Max-Planck-Institut f\"ur Mathematk, Bonn.
Sep 1st 06, PhD, University of Massachusetts Amherst, Amherst, Advisor: Prof. 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:

geometry and derived categories; in particular, stability conditions of Bridgeland types and related aspects of superstring theory and supergravity. In algebraic geometry and symplectic geometry, with the framework of Kontsevich's homological mirror symmetries, stability conditions modernize Mumford's variation of geometric invariant theory typically within the framework of derived categories, and one studies analogs of King's theta stabilities and moduli spaces of representations of quivers. It mathematically incarnates so-called Douglas' Pi-stabilities in superstring theory and Denef's stabilities in supergravity.
On above topics, here is a list of non-exhaustive related online resources: Derived categories of sheaves: skimming by Caldararu, Categories derivees et geometrie birationnelle by Rouquier, The geometry of moduli spaces of sheaves by Huybrechts and Lehn, Crawley-Boevey's web, Keller's web, Fukaya's web, Nakajima's web, Spaces of stability conditions by Bridgeland, 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, How many black holes fit on the head of a pin? by Denef and Moore, Four ways across the wall by Pioline, BPS invariants of N=4 gauge theory on a surface by Manschot, arXiv search, and Google scholar search.

Research Papers:

On Euler characteristics for large Kronecker quivers, C. R. Acad. Sci. Paris, Ser. I (2012), Vol. 350, Issues 5, March 2012, Pages 273-276.
- A pari/gp program to compute Poincare polynomials of moduli spaces of coprime dimension vectors (a,b) for m-Kronecker quivers with Reineke's formula. Usage:type poincare_reineke(m,a,b,t).
- A pari/gp program to compute Poincare polynomials above with Manschot-Pioline-Sen formula. Usage:type poincare_mps(m,a,b,t).
Mirror stability conditions and SYZ conjecture for Fermat polynomials, arXiv:1010.5397.
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.
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 G. 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

Grants:

JSPS Grant-in-Aid for Young Scientists (B) (23740012), Apr 2011 - Mar 2013.
JSPS Grant-in-Aid for Young Scientists (Start-up) (21840030), Oct 2009 - Mar 2011.

Presentations:

The 3rd GCOE Workshop for Young Mathematicians, Feb 20, 2012.
School and Conference on Modular Forms and Mock Modular Forms and their Applications in Arithmetic, Geometry and Physics, the Abdus Salam International Centre for Theoretical Physics, Trieste, March 15, 2011.
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.
Representation Theory Seminar, University of Massachusetts Amherst, Nov 15th and 22nd 04.

Meetings Attended:

RIMS International Project Research 2011: Minimal models and extremal rays, Conference: MMP and Extremal Rays, June 20-24, and Pre-Conference: Summer School on Algebraic Geometry, June 13-17, 11.
Aspects of Quantitative Topology, GCOE Lecture Series by Professor Shmul Weinberger, May 17th, 23rd, 11.
Workshop on Symplectic Geometry and Topology, U. of Kyoto, Feb 11.
Derived Categories 2011 Tokyo, U. of Tokyo, Jan 11.
Focus Week on New Invariants and Wall Crossing, IPMU, Mar 09.
Algebraic and Geometric Deformation Spaces, MPIM, Aug 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 in 07.
Invited visitors: D. Rumynin (Warwick) in 07 at MPIM, and T. Weist (Wuppertal) in 10, J. Stoppa (Cambridge) in 10, A. Usnich (Zurich) in 10, R. Ohkawa (Titech) in 10, J. Manschot (CEA Saclay) in 11, Z. Hua (UBC) in 11, M. Bernardara (Duisburg-Essen) in 11, and S. Galkin (IPMU) in 11, M. Van den Bergh (Hasselt) in 11 at Kyoto U.
Organized RIMS Nakajima Seminar, RIMS, Jan 11-.

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.