Preprints:

  • Filtered instanton homology and cosmetic surgery
        (with T. Lidman and M. Miller Eismeier)
         preprint

  • Unoriented skein exact triangles in equivariant singular instanton Floer theory
        (with C. Scaduto)
         preprint

  • Rank three instantons, representations and sutures
        (with N. Iida and C. Scaduto)
         preprint

  • Instantons and Rational Homology Spheres
        (with M. Miller Eismeier)
         preprint

  • Instantons, special cycles, and knot concordance
        (with H. Imori, K. Sato, C. Scaduto and M. Taniguchi)
         preprint

  • Lagrangians, SO(3)-instantons and the Atiyah-Floer Conjecture
        (with K. Fukaya and M. Lipyanskiy)
         preprint

  • Monotone Lagrangian Floer theory in smooth divisor complements: III
        (with K. Fukaya)
         preprint

  • Monotone Lagrangian Floer theory in smooth divisor complements: II
        (with K. Fukaya)
         preprint

  • Monotone Lagrangian Floer theory in smooth divisor complements: I
        (with K. Fukaya)
         preprint

  • Abelian Gauge Theory, Knots and Odd Khovanov Homology
         preprint

    • Published Papers:

  • Equivariant Aspects of Singular Instanton Floer Homology
        (with C. Scaduto)
         to appear in Geometry & Topology

  • 3-manifolds without any embedding in symplectic 4-manifolds
        (with T. Lidman and M. Miller Eismeier)
         Geometry & Topology, vol. 28, No. 7, pp. 3357-3372, 2024

  • Lagrangians, SO(3)-instantons and Mixed Equation
        (with K. Fukaya and M. Lipyanskiy)
        GAFA, vol. 34, pp. 659-732, 2024

  • Chern-Simons functional, singular instantons, and the four-dimensional clasp number
        (with C. Scaduto)
         Journal of the European Mathematical Society (JEMS), vol. 26, No. 6, pp. 2127-2190, 2023

  • Obstructions to Ribbon Homology Cobordisms
        (with T. Lidman, C.M.M. Wong and D.S. Vela-Vick)
         Advances in Mathematics, vol. 408, part B, paper no. 108580, 2022

  • Chern-Simons Functional and the Homology Cobordism Group
         Duke Mathematical Journal, vol. 169, no 15, pp 2827-2886, 2020

  • Surgery, Polygons and SU(N)-Floer Homology
        (with L. Culler and Y. Xie)
         Journal of Topology, Volume 13, Issue 2, (2020), 576-668

  • Sutured Manifolds and Higher Rank Bundles
        (with Y. Xie)
         Geometry & Topology, Volume 24, Number 1 (2020), 49-178

  • Atiyah-Floer Conjecture: a Formulation, a Strategy of Proof and Generalizations
        (with K. Fukaya)
         Modern Geometry: A Celebration of the Work of Simon Donaldson, Proceedings of Symposia in Pure Mathematics 99, 2018

  • Nowhere-Zero Unoriented Flows in Hamiltonian Graphs
        (with S. Akbari, O. Hatami, A. Javanmard and A. Mehrabian)
         Ars Combinatoria, 120 , pp. 51-63, 2015

  • Zero-Sum Flows in Regular Graphs
        (with S. Akbari, O. Hatami, A. Javanmard and A. Mehrabian)
         Graphs and Combinatorics Journal, vol. 26, no. 5, pp. 603-615, 2010.