Prof. Chris Wendl

Profil

Zusammenfassung

Chris Wendl ist Spezialist für symplektische Topologie und die analytische Theorie holomorpher Kurven. Er entwickelt mathematische Techniken zur Untersuchung von Kontaktstrukturen und symplektischen Geometrien, insbesondere durch Methoden der Transversalität und Schnitttheorie. Seine Arbeiten haben praktische Anwendungen in der Klassifikation geometrischer Strukturen und der Konstruktion von Füllungen in niedrigen Dimensionen.

Skills

Name

Prof. Chris Wendl

Titel

Prof.

Fakultät

Mathematisch-Naturwissenschaftliche Fakultät

Institut

Institut für Mathematik

Arbeitsgruppe

Differentialgeometrie und Globale Analysis

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HU-FIS-Profil

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Zuletzt gescrapt

28.6.2026, 01:14:34

• EXC 2046: Berlin Mathematics Research Center (MATH+)

  Quelle ↗

  Förderer: DFG Exzellenzstrategie Cluster Zeitraum: 01/2019 - 12/2024 Projektleitung: Prof. Dr. Caren Tischendorf, Prof. Dr. Michael Hintermüller, Prof. Dr. Max Klimm, Prof. Dr. Dörte Kreher, Prof. Chris Wendl, Prof. Dr. Bettina Rösken-Winter, Prof. Dr. rer. nat. Dr. h.c. Edda Klipp

• Kolleg Mathematik Physik Berlin

  Quelle ↗

  Zeitraum: 01/2016 - 12/2020 Projektleitung: Prof. Dirk Kreimer, Prof. Dr. Gavril Farkas, Prof. Dr. Jan Plefka

• New Transversality Techniques in Holomorphic Curve Theories (Transholomorphic)

  Quelle ↗

  Förderer: Horizon 2020: ERC Consolidator Grant Zeitraum: 09/2018 - 08/2023 Projektleitung: Prof. Chris Wendl

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• Introduction: Motivation

  2020

  Cambridge University Press eBooks · 2277 Zitationen · DOI

  The introduction motivates the remainder of the book via two specific examples of theorems from the early days of symplectic topology in which intersection theory plays a prominent role. We sketch closely analogous proofs of both theorems, emphasizing the way that intersection theory is used, but point out why the second theorem (on symplectic 4-manifolds that are standard near infinity) requires a nonobvious extension of homological intersection theory to punctured holomorphic curves. We then discuss informally some of the properties this theory will need to have and what kinds of subtle issues may arise.

• Automatic transversality and orbifolds of punctured holomorphic curves in dimension four

  2010

  Commentarii Mathematici Helvetici · 143 Zitationen · DOI

  We derive a numerical criterion for J-holomorphic curves in 4-dimensional symplectic cobordisms to achieve transversality without any genericity assumption. This generalizes results of Hofer–Lizan–Sikorav [HLS97] and Ivashkovich–Shevchishin [IS99] to allow punctured curves with boundary that generally need not be somewhere injective or immersed. As an application, we combine this with the intersection theory of punctured holomorphic curves to prove that certain geometrically natural moduli spaces are globally smooth orbifolds, consisting generically of embedded curves, plus unbranched multiple covers that form isolated orbifold singularities.

• Weak and strong fillability of higher dimensional contact manifolds

  2016

  67 Zitationen

  Abstract. For contact manifolds in dimension three, the notions of weak and strong symplectic fillability and tightness are all known to be inequivalent. We extend these facts to higher dimensions: in particular, we define a natural generalization of weak fillings and prove that it is indeed weaker (at least in dimension five), while also being obstructed by all known manifestations of “overtwistedness”. We also find the first examples of contact manifolds in all dimensions that are not symplectically fillable but also cannot be called overtwisted in any reasonable sense. These depend on a higher dimensional analogue of Giroux torsion, which we define via the existence in all dimensions of exact symplectic manifolds with disconnected contact boundary.

• Freie Universität Berlin

  EXC 2046: Berlin Mathematics Research Center (MATH+)

  university

• Technische Universität Berlin

  EXC 2046: Berlin Mathematics Research Center (MATH+)

  university

• Weierstraß-Institut für Angewandte Analysis und Stochastik, Berlin

  EXC 2046: Berlin Mathematics Research Center (MATH+)

  other