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Non-existence of n-dimensional T-embedded discs in R^(2n), with G. Stojanovic . Comm. Math. Helv., 81 (2006), 877-882
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Book review of Arnold's Problems. Math. Intelligencer, 29, No 1 (2007), 49-52
The Poncelet grid and the billiard in an ellipse, with M. Levi. Amer. Math. Monthly, 114 (2007), 895-908
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Sylvester's problem (in Russian), with V. Timorin. Kvant 2009, No 5, 2-6, No 6, 6-10
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Contact complete integrability, with B. Khesin. Reg. Chaotic Dynamics, 15 (2010), 504-520
Elementary surprises in projective geometry, with R. Schwartz. Math. Intelligencer, 32 (2010) No 3, 31-34
Periodic trajectories in the regular pentagon, with D. Davis and D. Fuchs. Moscow Math. J., 11 (2011), 1-23
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The (un)equal tangents problem. Amer. Math. Monthly, 119 (2012), 398-405
Higher pentagram maps, weighted directed networks, and cluster dynamics, with M. Gekhtman, M. Shapiro and V. Vainshtein. Electron. Res. Announc. Math. Sci., 19 (2012), 1-17
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Liouville-Arnold integrability of the pentagram map on closed polygons, with V. Ovsienko and R. Schwartz. Duke Math. J., 162 (2013), 2149-2196
Periodic trajectories in the regular pentagon, II, with D. Fuchs. Moscow Math. J., 13 (2013), 19-32
On fibrations with flat fibers, with V. Ovsienko. Bull. London Math. Soc., 45 (2013), 625-632
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Linear difference equations, frieze patterns and combinatorial Gale transform, with S. Morier-Genoud, V. Ovsienko and R. Schwartz. Forum of Mathematics, Sigma, 2 (2014), e22
On curves and polygons with the equiangular chord property, with T. Aougab, X. Sun and Y. Wang. Pacific J. Math., 274 (2015), 305-324
Coxeter's frieze patterns and discretization of the Virasoro orbit, with V. Ovsienko. J. Geom. and Phys., 87 (2015), 373-381
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A Baker's dozen of problems. Arnold Math. J., 1 (2015), 59-67
Remarks on the circumcenter of mass, with E. Tsukerman. Arnold Math. J., 1 (2015), 101-112
Introducing supersymmetric frieze patterns and linear difference operators, with S. Morier-Genoud and V. Ovsienko. Math. Zeitschrift, 281 (2015), 1061-1087
Configuration spaces of plane polygons and a sub-Riemannian approach to the equitangent problem, with J. Jeronimo-Castro. J. Dyn. Control Syst., 22 (2016), 227-250
The Six Circles Theorem revisited, with D. Ivanov. Amer. Math. Monthly, 123 (2016), 689-698
Integrable cluster dynamics of directed networks and pentagram maps, with M. Gekhtman, M. Shapiro and V. Vainshtein. Adv. in Math., 300 (2016), 390-450
On Lagrangian tangent sweeps and Lagrangian outer billiards, with D. Fuchs. Geom. Dedicata, 182 (2016), 203-213
Skewers. Arnold Math. J., 2 (2016), 171-193
Centers of mass of Poncelet polygons, 200 years after, with R. Schwartz. Math. Intelligencer, v. 38, No 2 (2016), 29-34
Hopf fibrations and Hurwitz-Radon numbers, with V. Ovsienko. Math. Intelligencer, v. 38, No 4 (2016), 11-18
Polynomials as polygons. Math. Intelligencer, v. 39, No 1 (2017), 41-43
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Billiard transformations of parallel flows: a periscope theorem, with A. Plakhov and D. Treschev. J. Geom. and Phys., 115 (2017), 157-166
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Ivory's Theorem revisited, with I. Izmestiev. J. Integrable Systems, 2 (2017), 1-36
Iterating evolutes of spatial polygons and of spatial curves, with D. Fuchs. Moscow Math. J., 17 (2017), 667-689
Vladimir Igorevich Arnold, with B. Khesin. Biogr. Mems Fell. Royal Soc., publ. online 08/30/17
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Book review of "A singular mathematical promenade" by E. Ghys. Math. Intelligencer, v. 40, No 2 (2018), 85-88
Introducing symplectic billiards, with P. Albers. Advances in Math., 333 (2018), 822-867
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On centro-affine curves and Backlund transformations of the KdV equation. Arnold Math. J., 4 (2018), 445-458
Projective configuration theorems: old wine into new wineskins. in Geometry in History, Springer, 2019, 401--434
Kasner meets Poncelet. Math. Intelligencer, v. 41, No 4 (2019), 56-59
Fun problems in geometry and beyond, with B. Khesin. SIGMA 15 (2019), 097, 21 pages
Tire tracks and integrable curve evolution, with G. Bor, M. Levi, and R. Perline. Int. Math. Res. Notes, 2020, no. 9, 2698-2768
Descartes circle theorem, Steiner porism, and spherical designs, with R. Schwartz. Amer. Math. Monthly, v. 127 (2020), 238-248
Book review of "The Scottish Book. Mathematics from the Scottish Cafe" . Math. Intelligencer, v. 42, No1 (2020), 71-74
Counting periodic trajectories of Finsler billiards, with P. Blagojevic, M. Harrison, and G. Ziegler. SIGMA 16 (2020), 022, 33 pages
Wire billiards, the first steps, with M. Bialy and A. Mironov. Advances in Math., 368 (2020), 107154, 27 pp.
Two variations on the periscope theorem. Reg. Chaotic Dynamics, 25 (2020), 11-17
Book review of "You Failed Your Math Test, Comrade Einstein". Math. Intelligencer, v. 42, No 3 (2020), 83-87
Four equivalent properties of integrable billiards, with A. Glutsyuk and I. Izmestiev. Israel J. Math., 241 (2021), 693-719
Billiards in ellipses revisited, with A. Akopyan and R. Schwartz. European J. Math., 8 (2022), 1313-1327
Dan Reznik's identities and more, with M. Bialy. European J. Math., 8 (2022), 1341-1354
Remarks on Joachimsthal integral and Poritsky property, with M. Arnold. Arnold Math. J., 7 (2021), 483-491
Polar bear or penguin? Musings on Earth cartography and Chebyshev nets, with B. Khesin. Math. Intelligencer, v. 43, No 1 (2021), 20-24
Cross-ratio dynamics on ideal polygons, with M. Arnold, D. Fuchs, and I. Izmestiev. Int. Math. Res. Notes, 2022, no. 9, 6770-6853
Symplectically convex and symplectically star-shaped curves - a variational problem, with P. Albers. J. Fixed Point Theory Appl. (Viterbo Festschrift), 24 (2022), no. 2, Paper No. 27, 24 pp.
Variations on the Tait-Kneser theorem, with G. Bor and C. Jackman. Math. Intelligencer, v. 43, No 3 (2021), 8-14
Loewner's "forgotten" theorem, with P. Albers. Math. Intelligencer, v. 44, No 1 (2022), 7-11
Remarks on rigidity properties of conics. Reg. Chaotic Dynamics, 27 (2022), 18-23
Open problems on billiards and geometric optics, with M. Bialy, C, Fierobe, A. Glutsyuk, M. Levi, and A. Plakhov. Arnold Math. J., 8 (2022), 411-422
On cusps of caustics by reflection: a billiard variation on Jacobi's Last Geometric Statement, with G. Bor. Amer. Math. Monthly, v. 130 (2023), 454-467
Self-Backlund curves in centroaffine geometry and Lame's equation, with M. Bialy and G. Bor. Communication of AMS, 2 (2022), 232-282
A family of integrable transformations of centroaffine polygons: geometrical aspects, with M. Arnold and D. Fuchs. Ann. Inst. Fourier, 74 (2024), 1319-1363
On projective evolutes of polygons, with M. Arnold and R. Schwartz. Experimental Math., 33 (2024), 347-356
On conformal points of area preserving maps and related topics, with P. Albers. J. Geom. Physics, 180, Oct. 2022, 104644
Bicycling geodesics are Kirchhoff rods, with G. Bor and C. Jackman. Nonlinearity, 36 (2023), 3572-3602
Polygonal symplectic billiards, with P. Albers, G. Banhatti, F. Sadlo, and R. Schwartz. J. Experimental Math, 1 (2025), 1-22
Differential geometry of space curves: forgotten chapters, with D. Fuchs, I. Izmestiev, M. Raffaelli, and G. Szewieczek. Math Intelligencer, v. 46, No 1 (2024), 9-21
Iterating skew evolutes and skew involutes: a linear analog of the bicycle kinematics. Moscow Math. J. (Ilyashenko Festschrift), 23 (2023), 625-640
Monotone twist maps and Dowker-type theorems, with P. Albers. Pacific J. Math., 330 (2024), 1-24
Geometry of integrable linkages, with R. Perline. J. Experimental Math., 1 (2025), 93-122
A bicycle correspondence on polygons and its continuous limit, with A. Arnold and L. Costa. J. Experimental Math., to appear
Cusps of caustics by reflection in ellipses, with G. Bor and M. Spivakovsky. J. Lond. Math. Soc., 110:6 (2024),e70033
When Grünbaum meets Poncelet - infinite classes of movable n_4 configurations, with L. Berman, G. Gévay, J. Richter-Gebert. Preprint
Explicit constructions for Poncelet polygons, with L. Berman, G. Gévay, J. Richter-Gebert. Preprint
Outer symplectic billiards, with P. Albers and A. Chavez Caliz. Preprint
A 4-point theorem: still another variation on an old theme. Math. Intelligencer, to appear
Bicycle tracks with hyperbolic monodromy - results and conjectures, with G. Bor and L. Hernandes-Lamoneda. Preprint
On cusps of caustics by reflection in two dimensional projective Finsler metrics. Preprint
