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  1. On the 576-fold periodicity of the spectrum SQFT: The proof of the lower bound via the Anderson duality pairing, with T. Johnson-Freyd. preprint. https://arxiv.org/abs/2404.06333
  2. Anderson self-duality of topological modular forms, its differential-geometric manifestations, and vertex operator algebras, with Y. Tachikawa. preprint. https://arxiv.org/abs/2305.06196
  3. Remarks on mod-2 elliptic genus, with Y. Tachikawa and K. Yonekura. preprint. https://arxiv.org/abs/2302.07548
  4. Differential KO-theory via gradations and mass terms, with K. Gomi. preprint. https://arxiv.org/abs/2111.01377
  5. Differential models for the Anderson dual to bordism theories and invertible QFT's, II. preprint. https://arxiv.org/abs/2110.14828
  6. Topological modular forms and the absence of all heterotic global anomalies, with Y. Tachikawa. to appear in Comm. Math. Phys. https://arxiv.org/abs/2108.13542
  7. Differential models for the Anderson dual to bordism theories and invertible QFT's, I, with K. Yonekura. preprint. https://arxiv.org/abs/2106.09270
  8. Mod-two APS index and domain-wall fermion, with H. Fukaya, M. Furuta, Y. Matsuki, S. Matsuo, T. Onogi and S. Yamaguchi. preprint. https://arxiv.org/abs/2012.03543
  9. A lattice version of the Atiyah-Singer index theorem, Commun. Math. Phys. 385, 495--520 (2021) https://link.springer.com/article/10.1007/s00220-021-04021-1
  10. A new construction of strict deformation quantization for Lagrangian fiber bundles, preprint. https://arxiv.org/abs/2003.06732
  11. Spectral convergence in geometric quantization --- the case of toric symplectic manifolds, with K. Hattori. preprint. https://arxiv.org/abs/2002.12495
  12. Spectral convergence in geometric quantization --- the case of non-singular Langrangian fibrations, with K. Hattori. to appear in Journal of Symplectic Geometry. https://arxiv.org/abs/1912.07994
  13. The Atiyah-Patodi-Singer index and domain-wall fermion Dirac operators, with H. Fukaya, M. Furuta, S. Matsuo, T. Onogi and S. Yamaguchi. Commun. Math. Phys. 380, 1295--1311 (2020). https://link.springer.com/article/10.1007/s00220-020-03806-0
  14. A topological approach to indices of geometric operators on manifolds with fibered boundaries, Commun. Math. Phys. 377, 77--147 (2020). https://link.springer.com/article/10.1007/s00220-019-03595-1

Proceedings

  1. Invertible QFTs and differential Anderson duals (proceedings to Stringmath 2022). https://arxiv.org/abs/2304.08833