Research

Topology

• Veering triangulations and transverse foliations
• Pseudo-Anosov representatives of stable Hamiltonian structures
• Zeta functions and the Fried conjecture for smooth pseudo-Anosov flows (with Malo Jezequel)
  submitted
• Expansion and torsion homology of 3-manifolds
  submitted
• Hyperbolic 3-manifolds with uniform spectral gap for coclosed 1-forms (with Amina Abdurrahman, Anshul Adve, Vikram Giri, and Ben Lowe)
  submitted
• Reeb flows transverse to foliations
  to appear, Geometry & Topology
• Taut foliations, left-orders, and pseudo-Anosov mapping tori
  to appear, Geometry & Topology

Connectomics and computer vision

• Multiscale and multimodal reconstruction of cortical structure and function (with Nicholas Turner et al)
• An error detection and correction framework for connectomics (with Ignacio Tartavull, Kisuk Lee, and Sebastian Seung)
  NIPS 2017
• Superhuman accuracy on the SNEMI3D connectomics challenge (with Kisuk Lee, Peter Li, Viren Jain, and Sebastian Seung)
• Deep learning improves template matching by normalized cross correlation (with Davit Buniatyan, Thomas Macrina, Dodam Ih, and Sebastian Seung)
• A correlation game for unsupervised learning yields computational interpretations of Hebbian excitation, anti-Hebbian inhibition, and synapse elimination (with Sebastian Seung)

Combinatorics

• On the longest paths and the diameter in random Apollonian networks (with Ehsan Ebrahimzadeh, Linda Farczadi, Pu Gao, Abbas Mehrabian, Cristiane Sato, and Nick Wormald)
  Random Structures & Algorithms 2014