Tahl Nowik - Publications


  • The homology of random simplicial complexes in the multi-parameter upper model
    (with Michael Farber)
    Israel Journal of Mathematics 256 (2023) 213–231. pdf
  • Random Simplicial Complexes, Duality and the Critical Dimension
    (with Michael Farber, Lewis Mead)
    Journal of Topology and Analysis 14, No. 1 (2022) 1–32. pdf
  • Topological embeddings into random 2-complexes
    (with Michael Farber)
    Random Structures & Algorithms (2021) 1-12. pdf
  • A systolic inequality with remainder in the real projective plane
    (with Mikhail G. Katz)
    Open Mathematics 18 (2020) 902-906 pdf
  • Metric completions, the Heine-Borel property, and approachability
    (with Vladimir Kanovei, Mikhail G. Katz)
    Open Mathematics 18 (2020) 162-166 pdf
  • Universal Knot Diagrams
    (with Chaim Even-Zohar, Joel Hass, Nati Linial)
    Journal of Knot Theory and its Ramifications 28 (2019) No. 7. pdf
  • The Distribution of Knots in the Petaluma Model
    (with Chaim Even-Zohar, Joel Hass, Nati Linial)
    Algebraic & Geometric Topology 18 (2018) 3647-3667 pdf
  • Monotone subsequence via ultrapower
    (with Piotr Blaszczyk, Vladimir Kanovei, Mikhail G. Katz)
    Open Mathematics 16 (2018) 149-153. pdf
  • Gregory's Sixth Operation
    (with Tiziana Bascelli, Piotr Blaszczyk, Vladimir Kanovei, Karin U. Katz, Mikhail G. Katz, Semen S. Kutateladze, David M. Schaps, David Sherry)
    Foundations of Science 23 (2018) 133-144. pdf
  • Games with Costly Winnings
    (with Irit Nowik)
    International Game Theory Review 19 (2017) No. 4. pdf
  • Invariants of Random Knots and Links
    (with Chaim Even-Zohar, Joel Hass, Nati Linial)
    Discrete & Computational Geometry 56 (2016) 274-314. pdf
  • Small oscillations of the pendulum, Euler's method, and adequality
    (with Vladimir Kanovei, Karin U. Katz, Mikhail G. Katz)
    Quantum Studies: Mathematics and Foundations 3 (2016) 231-236. pdf
  • Resolution of the Surprise Exam Paradox
    preprint arxiv
  • Differential Geometry via Infinitesimal Displacements
    (with Mikhail G. Katz)
    Journal of Logic & Analysis 7:5 (2015) 1-44. pdf
  • Fermat, Leibniz, Euler, and the gang: The true history of the concepts of limit and shadow
    (with Tiziana Bascelli, Emanuele Bottazzi, Frederik Herzberg, Vladimir Kanovei, Karin U. Katz, Mikhail G. Katz, David Sherry, Steven Shnider)
    Notices of the American Mathematical Society 61 (2014) 848-864. pdf
  • Unknotting number and number of Reidemeister moves needed for unlinking
    (with Chuichiro Hayashi, Miwa Hayashi)
    Topology and its Applications 159 (2012) 1467-1474. pdf
  • Order one invariants of spherical curves
    Topology and its Applications 158 (2011) 1206-1218. pdf
  • The expected genus of a random chord diagram
    (with Nathan Linial)
    Discrete & Computational Geometry 45 (2011) 161-180. pdf
  • New Permutation Representations of the Braid Group
    (with Amiel Ferman, Robert Schwartz, Mina Teicher)
    preprint arxiv
  • On the Structure and Automorphism Group of Finite Alexander Quandles
    (with Amiel Ferman, Mina Teicher)
    Journal of Knot Theory and its Ramifications 20 (2011) 463-468. pdf
  • Unknot diagrams requiring a quadratic number of Reidemeister moves to untangle
    (with Joel Hass)
    Discrete & Computational Geometry 44 (2010) 91-95. pdf
  • Complexity of plane and spherical curves
    Duke Mathematical Journal 148 (2009) 107-118. pdf
  • Order one invariants of planar curves
    Advances in Mathematics 220 (2009) 427-440. pdf
  • Immersions of Surfaces into Aspherical 3-Manifolds
    Transactions of the American Mathematical Society 361 (2009) 1833-1852 pdf
  • Invariants of knot diagrams
    (with Joel Hass)
    Mathematische Annalen 342 (2008) 125-137. pdf
  • Complementary regions for maps of surfaces
    Journal of Knot Theory and its Ramifications 17 (2008) 665-674. pdf
  • Dissecting the 2-sphere by immersions
    Geometriae Dedicata 127 (2007) 37-41. pdf
  • Immersions of Non-orientable Surfaces
    Topology and its Applications 154 (2007) 1881-1893. pdf
  • Formulae for Order One Invariants of Immersions of Surfaces
    Advances in Mathematics 206 (2006), no. 2, 358-372. pdf
  • Higher Order Invariants of Immersions of Surfaces into 3-Space
    Pacific Journal of Mathematics 223 (2006), no. 2, 333-347. pdf
  • Order One Invariants of Immersions of Surfaces into 3-Space
    Mathematische Annalen 328 (2004), no. 1-2, 261-283. pdf
  • Automorphisms and Embeddings of Surfaces and Quadruple Points of Regular Homotopies
    Journal of Differential Geometry 58 (2001), no. 3, 421-455. pdf
  • Finite Order q-Invariants of Immersions of Surfaces into 3-Space
    Mathematische Zeitschrift 236 (2001), no. 2, 215-221. pdf
  • Quadruple Points of Regular Homotopies of Surfaces in 3-Manifolds
    Topology 39 (2000), no. 5, 1069-1088. pdf
  • Intersection of Surfaces in 3-Manifolds
    Topology and its Applications 92 (1999), no. 1, 15-61. pdf
  • On 3-Manifolds Having the Same Turaev-Viro Invariants
    (with Sergei V. Matveev)
    Russian Journal of Mathematical Physics 2 (1994), no. 3, 317-324. pdf