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Preprint (arXiv)

  1. Mirror symmetric Gamma conjecture for Fano and Calabi-Yau manifolds, arXiv:2307.15940, to submitted to the proceedings of the online Nottingham algebraic geometry seminar,
  2. Quantum cohomology of blowups, arXiv:2307.13555,
  3. (with Yuki Koto) Quantum cohomology of projective bundles, arXiv:2307.03696,
  4. tt*-geometry in quantum cohomology, arXiv:0906.1307,
  5. Real and integral structures in quantum cohomology I: toric orbifolds, arXiv:0712.2204 (superseded by arXiv:0903.1463 and arXiv:0906.1307),

Journal articles (MathSciNet and arXiv)

  1. Gamma classes and quantum cohomology, arXiv:2307.15938, to appear in the ICM 2022 proceedings (final version submitted on January 2022),
  2. Asymptotics of the banana Feynman amplitudes at the large complex structure limit, arXiv:2011.05901, Adv. Theor. Math. Phys. 26 (2022), no. 5, 1239–1245.
  3. Finiteness and quadratic growth in quantum K-theory, Appendix to On the finiteness of quantum K-theory of a homogeneous variety by David Anderson, Linda Chen and Hsian-Hua Tseng, arXiv:1804.04579, Int. Math. Res. Not. IMRN 2022, no. 2, 1313–1349.
  4. (with Tom Coates) Gromov-Witten Invariants of Local P2 and Modular Forms, arXiv:1804.03292, Kyoto J. Math. 61 (2021), no. 3, 543–706.
  5. (with Todor Milanov, Yongbin Ruan, Yefeng Shen) Gromov-Witten Theory of Quotient of Fermat Calabi-Yau varieties, arXiv:1605.08885, Mem. Amer. Math. Soc. 269 (2021), no. 1310
  6. (with Mohammed Abouzaid, Sheel Ganatra, Nick Sheridan) The Gamma and Stromiger-Yau-Zaslow Conjectures: a tropical approach to periods, arXiv.1809.02177, Geometry & Topology 24 (2020) 2547–2602
  7. Global mirrors and discrepant transformations for toric Deligne-Mumford stacks, arXiv:1906.00801, SIGMA 16 (2020), 032, 111 pages.
  8. (with Tom Coates, Alessio Corti, Hsian-Hua Tseng) Hodge-Theoretic Mirror Symmetry for Toric Stacks, arXiv:1606.07254, Journal of Differential Geometry, 114 (2020) 41-115.
  9. (with Sergey Galkin) Gamma conjecture via mirror symmetry arXiv:1508.00719, Primitive forms and related subjects — Kavli IPMU 2014, 55–115, Adv. Stud. Pure Math. 83 (2019)
  10. Quantum D-modules of toric varieties and oscillatory integrals, Handbook of Mirror Symmetry for Calabi-Yau manifolds and Fano manifolds, ALM47, 131-147, (2019), arXiv:2307.15935,
  11. (with Tom Coates, Alessio Corti, Hsian-Hua Tseng) Some Applications of the Mirror Theorem for Toric Stacks, arXiv:1401.2611, Adv. Theor. Math. Phys. Volume 23, Number 3, 767-802, (2019)
  12. (with Tom Coates) The R-matrix identity, Appendix to Crepant Resolution and the Holomorphic Anomaly Equation for [C3/Z3] by Hyenho Lho and Rahul Pandharipande, arXiv:1804.03168, Proc. London Math. Soc., (3) 119 (2019) 781-813.
  13. (with Tom Coates) A Fock sheaf for Givental quantization, arXiv:1411.7039, Kyoto J. Math. 58 (2018), no. 4, 695-864.
  14. (with Tom Coates, Yunfeng Jiang) The Crepant Transformation Conjecture For Toric Complete Intersections, arXiv:1410.0024, Adv. Math. 329 (2018), 1002-1087.
  15. (with Eduardo González) Seidel elements and potential functions of holomorphic disc counting, arXiv:1301.5454, Tohoku Math. J. (2) Volume 69, Number 3 (2017), 327-368.
  16. A mirror construction for the big equivariant quantum cohomology of toric manifolds, arXiv:1503.02919, Mathematische Annalen, Volume 368, Issue 1 (2017) 279-316
  17. Shift operators and toric mirror theorem, arXiv:1411.6840, Geometry & Topology 21-1 (2017), 315--343
  18. (with Jifu Xiao) Extremal transition and quantum cohomology: Examples of toric degeneration, arXiv:1504.05013, Kyoto J. Math. Volume 56, Number 4 (2016), 873-905.
  19. (with Sergey Galkin, Vasily Golyshev) Gamma classes and quantum cohomology of Fano manifolds: Gamma Conjectures, arXiv:1404.6407, Duke Math. J. 165 (2016), no. 11, 2005--2077.
  20. (with Tom Coates) On the existence of a global neighbourhood, arXiv:1411.3092, Glasgow Math. J. 58 (2016), no. 3, 717--726.
  21. (with Etienne Mann, Thierry Mignon) Quantum Serre theorem as a duality between quantum D-modules, arXiv:1412.4523, Int. Math. Res. Not. IMRN 2016, no. 9, 2828--2888.
  22. (with Tom Coates, Yunfeng Jiang, Ed Segal) K-Theoretic And Categorical Properties of Toric Deligne-Mumford Stacks, arXiv:1410.0027, Pure and Applied Mathematics Quarterly, Vol. 11, No. 2 (2015), pp. 239-266.
  23. (with Tom Coates, Alessio Corti, Hsian-Hua Tseng) A Mirror Theorem for Toric Stacks, arXiv:1310.4163, Compositio Math. 151 (2015), 1878--1912.
  24. (with Tom Coates) On the Convergence of Gromov-Witten potentials and Givental's formula, arXiv:1203.4193, Michigan Mathematical Journal, Volume 64, Issue 3 (2015), 587--63.
  25. (with Todor Milanov, Valentin Tonita) Reconstruction and Convergence in Quantum K-Theory via Difference Equations, arXiv:1309.3750, Int. Math. Res. Not. Volume 2015, Issue 11, (2015) 2887-2937
  26. (with Alessandro Chiodo, Yongbin Ruan) Landau-Ginzburg/Calabi-Yau correspondence, global mirror symmetry and Orlov equivalence, arXiv:1201.0813, Publ. Math. Inst. Hautes Études Sci. 119 (2014) 127--216.
  27. (with Tom Coates, Amin Gholampour, Yunfeng Jiang, Paul Johnson, Cristina Manolache) The quantum Lefschetz hyperplane principle can fail for positive orbifold hypersurfaces, arXiv:1202.2754, Math. Res. Lett. 19 (2012), no.5, 997--1005.
  28. (with Eduardo González) Seidel elements and mirror transformations, arXiv:1103.4171, Selecta Math. (N.S.) 18 (2012), no. 3, 557--590.
  29. Quantum Cohomology and Periods, arXiv:1101.4512, Ann. Inst. Fourier (Grenoble) 61 (2011), no.7, 2909--2958.
  30. Ruan's conjecture and integral structures in quantum cohomology, arXiv:0809.2749, New Developments in Algebraic Geometry, Integrable Systems and Mirror Symmetry (RIMS, Kyoto, 2008), Adv. Stud. Pure Math. 59 (2010), 111--166.
  31. An integral structure in quantum cohomology and mirror symmetry for toric orbifolds, arXiv:0903.1463, Adv. Math. 222 (2009), no. 3, 1016--1079.
  32. (with Tom Coates, Alessio Corti, Hsian-Hua Tseng) Computing genus zero twisted Gromov-Witten invariants, arXiv:math/0702234, Duke Math. J. 147 (2009), no. 3, 377--438.
  33. (with Tom Coates, Hsian-Hua Tseng) Wall-crossings in toric Gromov-Witten theories I, Crepant examples, arXiv:math/0611550, Geom. Topol. 13 (2009), no.5, 2675--2744.
  34. Quantum D-modules and generalized mirror transformations, arXiv:math/0411111, Topology, 2008, vol 47, no.4, 225--276.
  35. Convergence of quantum cohomology by quantum Lefschetz, arXiv:math/0506236, Journal für die Reine und Angewandte Mathematik, 2007, vol 610, 29--69.
  36. Quantum D-modules and equivariant Floer theory for free loop spaces, arXiv:math/0410487, Mathematische Zeitschrift, 2006, vol 252, no.3, 577-622.

Other articles

  1. Decomposition of quantum cohomology under blowups (handout, handwritten notes), M-seminar at Kansas State University (online) on 18 April 2024
  2. Fourier analysis of equivariant quantum cohomology, at Homological Mirror Symmetry at Miami (26-28 Jan 2024): talk 1, talk 2, talk 3
  3. Gamma conjecture and tropical geometry (19 Dec 2021), In: Proceedings of the Algebra (Daisugaku) Symposium 2021, arXiv:2307.15946
  4. Quantum cohomology and birational transformation (9 June 2020), talk at China Online Geometry and Physics Seminar; Quantum cohomology of blowups: a conjecture, handwritten notes (7 Oct 2020), talk at Online Algebraic Geometry Seminar (Nottingham)
  5. Constructing mirrors via shift operators (July 2015), talk at AMS summer institute in Algebraic Geometry, Salt Lake City, Utah
  6. Wall-crossings in toric Gromov-Witten theory (June 2009) talk slides, Massachusetts Institute of Technology, Workshop on Mirror Symmetry and Related Topics
  7. The S1 equivariant cohomology of the Universal Covering of Free Loop Spaces (April 2003), part of my master thesis

Articles in Japanese

  1. 量子コホモロジーのガンマ構造について (On the Gamma structure of quantum cohomology), 数学，第68巻，第4号 (2016) 337-360
  2. トーリック多様体のミラー対称性 (Mirror symmetry for toric varieties), 日本数学会秋季総合分科会，幾何学分科会特別講演 (2015) 予稿
  3. Fano多様体のガンマ予想 (Gamma conjecture for Fano manifolds), ミラー対称性の展望，数理解析研究所講究録，1918 (2014) 71-87
  4. 量子コホモロジーにおけるK理論整構造とミラー対称性 (K-theory integral structure in quantum cohomology and mirror symmetry), 代数幾何学城崎シンポジウム（2010）予稿集
  5. 量子コホモロジーの整構造について (Integral structures in quantum cohomology), 可積分系に関わる幾何学の研究， 数理解析研究所講究録，1605 (2008) 22-32.
  6. 量子D加群の大域的構造 (A global structure of quantum D-modules), 日本数学会秋季総合分科会，幾何学分科会特別講演 （2006) 予稿
  7. トーリック多様体に付随するq差分系 (A q-difference system associated with a toric variety), Symplectic Varieties and related topics, Hokkaido University (2005) 予稿 (未出版)
  8. アルカンの構造異性体の組合せ論的数え上げ (The combinatorial enumeration of structural isomers of alkanes), Journal of Chemical Software Vol 5, (1999) No 2, 65-80