Hiroyuki FUJI

Hiroyuki FUJI

Department of Mathematics,
Graduate School of Science, Kobe University
Division : Applied Mathematics
Professor
 Building B, Room 326

Personal Website
Research FieldF Mathematical physics, quantum topology, quantum gravity and string theory
Research SummaryF Hiroyuki Fuji's research interest lies in the mathematical physics. His main research focus is quantum field theory and string theory, and he is working on the applications of these physical theories to various fields of mathematics and mathematical sciences. In his former works, he studied quantum invariants of knots in three manifolds and Gromov-Witten invariants in Calabi-Yau varieties using various techniques developed in topological field theory and matrix models. In addition, he is also working on mathematical models to study the topological structure of folded RNA and proteins in cells using fat graphs.
Primary PublicationsF
  1. H. Fuji and Y. Matsuo, ``Open string on symmetric product,'' Int. J. Mod. Phys. A16, 557-608 (2001).
  2. H. Fuji and S. Mizoguchi, ``Gravitational corrections for supersymmetric gauge theories with flavors via matrix models,'' Nucl. Phys. B698, 53-91 (2004).
  3. H. Awata, H. Fuji, H. Kanno, M. Manabe and Y. Yamada, ``Localization with a Surface Operator, Irregular Conformal Blocks and Open Topological String,'' Adv. Theor. Math. Phys. 16, no.3, 725-804 (2012).
  4. R. Dijkgraaf, H. Fuji and M. Manabe, ``The Volume Conjecture, Perturbative Knot Invariants, and Recursion Relations for Topological Strings,'' Nucl. Phys. B 849, 166-211 (2011).
  5. H. Fuji, S. Hirano and S. Moriyama,``Summing Up All Genus Free Energy of ABJM Matrix Model,'' JHEP 08, 001 (2011).
  6. H. Fuji, S. Gukov and P. Sulkowski, ``Super-A-polynomial for knots and BPS states,'' Nucl. Phys. B 867, 506-546 (2013).
  7. J. E. Andersen, H. Fuji, R. C. Penner and C. M. Reidys, ``The boundary length and point spectrum enumeration of partial chord diagrams using cut and join recursion,'' Trav. Math. 25, 213-232 (2017).
  8. H. Fuji, K. Iwaki, M. Manabe and I. Satake, ``Reconstructing GKZ via topological recursion,'' Commun. Math. Phys. 371, no.3, 839-920 (2019).
  9. H. Fuji, I. Kanamori and S. M. Nishigaki, ``Janossy densities for chiral random matrix ensembles and their applications to two-color QCD,'' JHEP 08, 053 (2019).
  10. H. Fuji, K. Iwaki, H. Murakami and Y. Terashima, ``Witten-Reshetikhin-Turaev Function for a Knot in Seifert Manifolds,'' Commun. Math. Phys. 386, no.1, 225-251 (2021).