Publications
Book
(H. Geiges, K. Z.)
A Course on Holomorphic Discs,
Birkhäuser, Virtual Series on Symplectic Geometry
Submitted articles
(G. Benedetti, J. Bimmermann, K. Z.)
Symplectic capacities of disc cotangent bundles of flat tori (2023)
(W. Schmaltz, S. Suhr, K. Z.)
Non-fillability of overtwisted contact manifolds via polyfolds (2023)
Refereed articles
(H. Geiges, K. Z.)
Symplectic fillings of unit cotangent bundles of hyperbolic surfaces
to appear in Israel J. Math.
(H. Geiges, M. Kwon, K. Z.)
Diffeomorphism type of symplectic fillings of unit cotangent bundles
J. Topol. Anal. 15 (2023), 683-705
(P. Albers, H. Geiges, K. Z.)
A symplectic dynamics proof of the degree-genus formula
Arnold Math. J. 9 (2023), 41-68
(H. Geiges, M. Sağlam, K. Z.)
Why bootstrapping for J-holomorphic curves fails in Ck
Anal. Math. Phys. 13 (2023), 11pp.
(M. Kwon, K. Wiegand, K. Z.)
Diffeomorphism type via aperiodicity in Reeb dynamics
J. Fixed Point Theory Appl. 24 (2022), Paper No. 21, 26pp.
Symplectic geometry – A Festschrift in honour of Claude Viterbo's 60th birthday.
(P. Albers, H. Geiges, K. Z.)
Pseudorotations of the 2-disc and Reeb flows on the 3-sphere
Ergodic Theory Dynam. Systems 42 (2022), 402–436.
Anatole Katok Memorial Issue
(H. Geiges, K. Sporbeck, K. Z.)
Subcritical polarisations of symplectic manifolds have degree one
Arch. Math. (Basel) 117 (2021), 227–231.
(Y. Bae, K. Wiegand, K. Z.)
Periodic orbits in virtually contact structures,
J. Topol. Anal. 12 (2020), 371–418.
(M. Kegel, J. Schneider, K. Z.)
Symplectic dynamics and the 3-sphere,
Israel J. Math. 235 (2020), 245–254.
(H. Geiges, K. Z.)
Odd-symplectic forms via surgery and minimality in symplectic dynamics,
Ergodic Theory Dynam. Systems 40 (2020), 699–713.
(M. Kwon, K. Z.)
Fillings and fittings of unit cotangent bundles of odd-dimensional spheres,
Q. J. Math. 70 (2019), 1253–1264.
(K. Barth, H. Geiges, K. Z.)
The diffeomorphism type of symplectic fillings,
J. Symplectic Geom. 17 (2019), 929–971.
(K. Barth, J. Schneider, K. Z.)
Symplectic dynamics of contact isotropic torus complements,
Münster J. Math. 12 (2019), 31–48.
(K. Wiegand, K. Z.)
Two constructions of virtually contact structures,
J. Symplectic Geom. 16 (2018), 563–583.
(P. Albers, H. Geiges, K. Z.)
Reeb dynamics inspired by Katok’s example in Finsler geometry,
Math. Ann. 370 (2018), 1883–1907.
(M. Dörner, H. Geiges, K. Z.)
Finsler geodesics, periodic Reeb orbits, and open books,
Eur. J. Math. 3 (2017), 1058–1075.
(H. Geiges, K. Z.)
Cobordisms between symplectic fibrations,
manuscripta math. 153 (2017), 331–340.
(S. Suhr, K. Z.)
Polyfolds, cobordisms, and the strong Weinstein conjecture,
Adv. Math. 305 (2017), 1250–1267.
(H. Geiges, N. Röttgen, K. Z.)
From a Reeb orbit trap to a Hamiltonian plug,
Arch. Math. (Basel) 107 (2016), 397–404.
Analytic filling of totally real tori,
Münster J. Math. 9 (2016), 207–219.
(S. Suhr, K. Z.)
Linking and closed orbits,
Abh. Math. Semin. Univ. Hambg. 86 (2016), 133–150.
(H. Geiges, K. Z.)
Reeb dynamics detects odd balls,
Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) 15 (2016), 663–681.
(H. Geiges, K. Z.)
The Weinstein conjecture for connected sums,
Int. Math. Res. Not. IMRN 2016, no. 2, 325–342.
(U. Frauenfelder, K. Z.)
Gromov compactness for holomorphic discs with
totally real boundary conditions,
J. Fixed Point Theory Appl. 17 (2015), 521–540.
Holomorphic jets in symplectic manifolds,
J. Fixed Point Theory Appl. 17 (2015), 379–402.
(G. Benedetti, K. Z.)
On the existence of periodic orbits for magnetic
systems on the two-sphere,
J. Mod. Dyn. 9 (2015), 141–146.
(H. Geiges, N. Röttgen, K. Z.)
Trapped Reeb orbits do not imply periodic ones,
Invent. math. 198 (2014), 211–217.
(M. Dörner, H. Geiges, K. Z.)
Open books and the Weinstein conjecture,
Q. J. Math. 65 (2014), 869–885.
Lagrangian non-squeezing and a geometric inequality,
Math. Z. 277 (2014), 285–291.
(K. Z., F. Ziltener)
Discontinuous symplectic capacities,
J. Fixed Point Theory Appl. 14 (2013), 299–307.
(H. Geiges, K. Z.)
How to recognize a 4-ball when you see one,
Münster J. Math. 6 (2013), 525–554.
Erratum to: How to recognize a 4-ball when you see one,
Münster J. Math. 6 (2013), 555–556.
The codisc radius capacity,
Electron. Res. Announc. Math. Sci. 20 (2013), 77–96.
The annulus property of simple holomorphic discs,
J. Symplectic Geom. 11 (2013), 135–161.
(H. Geiges, K. Z.)
Symplectic cobordisms and the strong Weinstein conjecture,
Math. Proc. Cambridge Philos. Soc. 153 (2012), 261–279.
(H. Geiges, K. Z.)
Eliashberg's proof of Cerf's theorem,
J. Topol. Anal. 2 (2010), 543–579.
(K. Groh, M. Schwarz, K. Smoczyk, K. Z.)
Mean curvature flow of monotone Lagrangian submanifolds,
Math. Z. 257 (2007), 295–327.
Non-refereed contributions to conference proceedings
(Y. Bae, K. Wiegand, K. Z.)
Periodic orbits in virtually contact structures,
Oberwolfach Reports 14 (2017), tba–tba.
(H. Geiges, N. Röttgen, K. Z.)
Trapped Reeb orbits do not imply periodic once,
Oberwolfach Reports 12 (2015), 1955–1957.
(S. Suhr, K. Z.)
Linking and closed orbits,
Oberwolfach Preprints 15 (2013), 1–19.
(H. Geiges, K. Z.)
Cerf's theorem and other applications of the filling with holomorphic discs,
Oberwolfach Reports 8 (2011), 1055–1056.
(P. Albers, K. Z.)
The Nash-Kuiper isometric C1-embedding theorem,
MFO, Convex Integration, Report No. 15 (2003)