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I am a graduate student in my third year at the University of Oregon working under Boris Botvinnik . I am interested in Homotopy Theory, Differential Geometry, and the interactions between these two fields. Specifically, I study Moduli-Spaces of Manifolds, Cobordism Categories, Singularity Theory, Surgery, and things related to metrics of Positive Scalar Curvature. Here is my Research Statement . Here is my CV .


  • Office: 212M Deady
  • Email: nperlmut@uoregon.edu


    Papers

  • The linking form and stabilization for diffeomorphism groups of odd dimensional manifolds.
    arXiv:1411.2330
  • Homological Stability For Moduli Spaces of Products of Spheres. arXiv:1408.1903
    To appear in Trans. American. Math. Soc.
  • Cobordism Category of Manifolds With Baas-Sullivan Singularities, Part 1. arXiv:1212.6422
    To appear in Münster J. of Math.
  • Cobordism Category of Manifolds With Baas-Sullivan Singularities, Part 2. arXiv:1212.6422