
Topological embeddings into random 2complexes
(with Michael Farber)
Random Structures & Algorithms (2021) 112.
pdf

Random Simplicial Complexes, Duality and the Critical Dimension
(with Michael Farber, Lewis Mead)
Journal of Topology and Analysis to appear.
pdf

A systolic inequality with remainder in the real projective plane
(with Mikhail G. Katz)
Open Mathematics 18 (2020) 902906
pdf

Metric completions, the HeineBorel property, and approachability
(with Vladimir Kanovei, Mikhail G. Katz)
Open Mathematics 18 (2020) 162166
pdf

Universal Knot Diagrams
(with Chaim EvenZohar, 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 EvenZohar, Joel Hass, Nati Linial)
Algebraic & Geometric Topology 18 (2018) 36473667
pdf

Monotone subsequence via ultrapower
(with Piotr Blaszczyk, Vladimir Kanovei, Mikhail G. Katz)
Open Mathematics 16 (2018) 149153.
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) 133144.
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 EvenZohar, Joel Hass, Nati Linial)
Discrete & Computational Geometry 56 (2016) 274314.
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) 231236.
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) 144.
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) 848864.
pdf

Unknotting number and number of Reidemeister moves
needed for unlinking
(with Chuichiro Hayashi, Miwa Hayashi)
Topology and its Applications 159 (2012) 14671474.
pdf

Order one invariants of spherical curves
Topology and its Applications 158 (2011) 12061218.
pdf

The expected genus of a random chord diagram
(with Nathan Linial)
Discrete & Computational Geometry 45 (2011) 161180.
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) 463468.
pdf

Unknot diagrams requiring a quadratic number of Reidemeister moves to untangle
(with Joel Hass)
Discrete & Computational Geometry 44 (2010) 9195.
pdf

Complexity of plane and spherical curves
Duke Mathematical Journal 148 (2009) 107118.
pdf

Order one invariants of planar curves
Advances in Mathematics 220 (2009) 427440.
pdf

Immersions of Surfaces into Aspherical 3Manifolds
Transactions of the American Mathematical Society 361 (2009) 18331852
pdf

Invariants of knot diagrams
(with Joel Hass)
Mathematische Annalen 342 (2008) 125137.
pdf

Complementary regions for maps of surfaces
Journal of Knot Theory and its Ramifications 17 (2008) 665674.
pdf

Dissecting the 2sphere by immersions
Geometriae Dedicata 127 (2007) 3741.
pdf

Immersions of Nonorientable Surfaces
Topology and its Applications 154 (2007) 18811893.
pdf

Formulae for Order One Invariants of Immersions
of Surfaces
Advances in Mathematics 206 (2006), no. 2, 358372.
pdf

Higher Order Invariants of Immersions
of Surfaces into 3Space
Pacific Journal of Mathematics 223 (2006), no. 2, 333347.
pdf

Order One Invariants of Immersions
of Surfaces into 3Space
Mathematische Annalen 328 (2004), no. 12, 261283.
pdf

Automorphisms and Embeddings of Surfaces
and Quadruple Points of Regular Homotopies
Journal of Differential Geometry 58 (2001), no. 3,
421455.
pdf

Finite Order qInvariants of Immersions of Surfaces
into 3Space
Mathematische Zeitschrift 236 (2001), no. 2,
215221.
pdf

Quadruple Points of Regular Homotopies of Surfaces in
3Manifolds
Topology 39 (2000), no. 5,
10691088.
pdf

Intersection of Surfaces in
3Manifolds
Topology and its Applications 92 (1999),
no. 1, 1561.
pdf

On 3Manifolds Having the Same
TuraevViro Invariants
(with Sergei V. Matveev)
Russian Journal of Mathematical Physics 2 (1994), no. 3, 317324.
pdf