All publications below are based on work supported by the National Science Foundation (NSF), most recently through NSF grant DMS-2304207 and NSF CAREER award DMS-1454342, and by the Simons Foundation grant 855299.
- From Barcode Entropy to Metric Entropy, co-authors: E. Çineli, V.L. Ginzburg, Preprint 2025, arxiv 2507.13215.
- Closed orbits of dynamically convex Reeb flows: towards the HZ- and multiplicity conjectures, co-authors: E. Çineli, V.L. Ginzburg, Preprint 2024, arXiv 2410.13093.
- Invariant sets and hyperbolic closed Reeb orbits, co-authors: E. Çineli, V.L. Ginzburg, M. Mazzucchelli, Adv. Math., 484 (2026), Article 110709, doi: 10.1016/j.aim.2025.110709.
- On the barcode entropy of Reeb flows, co-authors: E. Çineli, V.L. Ginzburg, M. Mazzucchelli, Selecta Math. (NS), 31 (2025), Article No. 64, doi: 10.1007/s00029-025-01062-5.
- Lower semi-continuity of Lagrangian volume, co-authors: E. Çineli, V.L. Ginzburg, Israel J. Math., 267 (2025), 253–274, doi:10.48550/arXiv 2210.04357.
- Barcode entropy of geodesic flows, co-authors: V.L. Ginzburg, M. Mazzucchelli, J. Eur. Math. Soc. (JEMS), 2024, doi:10.4171/JEMS/1572; First online: 13 Dec 2024.
- Topological entropy of Hamiltonian diffeomorphisms: a persistence homology and Floer theory perspective, co-authors: E. Çineli, V.L. Ginzburg, Math. Z., Volume 308, 73 (2024), doi:10.1007/s00209-024-03627-0.
- On the growth of the Floer barcode, co-authors: E. Çineli, V.L. Ginzburg, J. Mod. Dyn., 20 (2024), 275-298, doi:10.3934/jmd.2024007.
- On the generic behavior of the spectral norm, co-authors: E. Çineli, V.L. Ginzburg, Pacific J. Math., 328 (2024), 119-135, doi:10.2140/pjm.2024.328-119.
- Pseudo-rotations vs. rotations, co-author: V.L. Ginzburg, J. London Math. Soc. (2022), doi:10.1112/jms.12665.
- Another look at the Hofer–Zehnder conjecture, co-authors: E. Çineli, V.L. Ginzburg, J. Fixed Theory Appl., Claude Viterbo’s 60th Birthday Festschrift, 24 (2022), doi:10.1007/s11784-022-00937-w.
- On the spectral characterization of Besse and Zoll Reeb flows, co-authors: V.L. Ginzburg, M. Mazzucchelli, Ann. Inst. H. Poincaré Anal. Non Linéaire, 38 (2021), 549-576.
- Pseudo-rotations and holomorphic curves, co-authors: E. Çineli, V.L. Ginzburg, Selecta Math. (NS), 26 (2020), Article No. 78, doi:10.1007/s00029-020-00609-y.
- From pseudo-rotations to holomorphic curves via quantum Steenrod squares, co-authors: E. Çineli, V.L. Ginzburg, Int. Math. Res. Not. IMRN, 2020, doi:10.1093/imrn/rnaa173.
- Lusternik-Schnirelmann theory and closed Reeb orbits, co-author: V.L. Ginzburg, Math. Z., 295 (2020), 515–582.
- Approximate identities and Lagrangian Poincaré recurrence, co-author: V.L. Ginzburg, Arnold Math J., 5 (2019), 5–14.
- Conley conjecture revisited, co-author: V.L. Ginzburg, Int. Math. Res. Not. IMRN, 3 (2019), 761–798.
- Hamiltonian pseudo-rotations of complex projective spaces, co-author: V.L. Ginzburg, Invent. Math., 214 (2018), 1081–1130.
- Multiplicity of closed Reeb orbits on prequantization bundles, co-authors: V.L. Ginzburg, L. Macarini, Israel J. Math., 228 (2018), 407–453.
- Non-contractible periodic orbits in Hamiltonian dynamics on closed symplectic manifolds, co-author: V.L. Ginzburg, Compos. Math., 152 (2016), 1777–1799.
- The Conley conjecture and beyond, co-author: V.L. Ginzburg, Arnold Math J., 1 (2015), 299–337.
- On the Conley conjecture for Reeb flows, co-authors: V.L. Ginzburg, L. Macarini, Internat. J. Math., 26 (2015), 1550047 [22 pages], doi:10.1142/S0129167X15500470.
- Fragility and persistence of leafwise intersections, co-author: V.L. Ginzburg, Math. Z., 28 (2015), 989–1004.
- Perfect Reeb flows and action-index relations, Geom. Dedicata, 174 (2015), 105–120.
- Periodic orbits of Hamiltonian systems linear and hyperbolic at infinity, Pacific J. Math., 271 (2014), 159–182.
- Hyperbolic fixed points and periodic orbits of Hamiltonian diffeomorphisms, co-author: V.L. Ginzburg, Duke Math. J., 163 (2014), 565–590.
- On non-contractible periodic orbits of Hamiltonian diffeomorphisms, Bull. Lon. Math. Soc., 45 (2013), 1227–1234.
- Action-index relations for perfect Hamiltonian diffeomorphisms, co-authors: M. Chance and V.L. Ginzburg, J. Symplectic Geom., 11 (2013), 449–474.
- Conley conjecture for negative monotone symplectic manifolds, co-author: V.L. Ginzburg, Int. Math. Res. Notices IMRN, 8 (2012), 449–474.
- Local Floer homology and the action gap, co-author: V. L. Ginzburg, J. Symplectic. Geom., 8 (2010), 323–357.
- Leafwise coisotropic intersections, Int. Math. Res. Not. IMRN (2010), 914–931.
- On the generic existence of periodic orbits in Hamiltonian dynamics, co-author: V.L. Ginzburg, J. Mod. Dyn., 3 (2009), 595–610.
- Action and index spectra and periodic orbits in Hamiltonian dynamics , co-author:V.L. Ginzburg, Geom. Topol., 13 (2009), 2745–2805.
- Periodic orbits of twisted geodesic flows and the Weinstein-Moser theorem, co-author: V.L. Ginzburg, Comment. Math. Helv., 84 (2009), 865–907.
- Totally non-coisotropic displacement and its applications to Hamiltonian dynamics, Commun. Contemp. Math., 10 (2008), 1103–1128.
- The generalized Weinstein-Moser theorem, co-author: V.L. Ginzburg, Electron. Res. Announc. Math. Sci., 14 (2007), 20–29.
- Relative Hofer-Zehnder capacity and periodic orbits in twisted cotangent bundles, co-author: V.L. Ginzburg, Duke Math. J., 123 (2004), 1–47.
- A C2-smooth counterexample to the Hamiltonian Seifert conjecture in R4, co-author: V.L. Ginzburg, Ann. of Math., 158 (2003), 953–976.
- On the construction of a C2-counterexample to the Hamiltonian Seifert conjecture in R4, co-author: V.L. Ginzburg, Electron. Res. Announc. Amer. Math. Soc. 8 (2002), 11–19.
- Hamiltonian Seifert Conjecture and the Relative Almost Existence Theorem, Ph.D. Thesis, September 2003, University of California at Santa Cruz.