Mark McLean

Publications and preprints

• My thesis (777k)
  
  
• Lefschetz fibrations and symplectic homology
  Geom. Topol. 13 (2009), no. 4, 1877-1944.
  The published article is available here.
  
  
• Non-displaceable contact embeddings and infinitely many leaf-wise intersections
  (joint work with Peter Albers)
  J. Symplectic Geom. 9 (2011), no. 3, 271-284.
  The published article is available here.
  
  
• Symplectic homology of Lefschetz fibrations and Floer homology of the monodromy map
  Selecta Mathematica. 18 (2012), no. 3, 473-512.
  The published article is available here.
  
  
• The growth rate of symplectic homology and affine varieties
  Geometric And Functional Analysis. 22 (2012), no. 2 369-442.
  The published article is available here.
  
  
• Computability and the growth rate of symplectic homology (Preprint)
  
  
• Local Floer homology and infinitely many simple Reeb orbits
  Algebraic & Geometric Topology. 12 (2012), no. 4, 1901-1923.
  The published article is available here.
  
  
• Symplectic invariance of uniruled affine varieties and log Kodaira dimension
  Duke Math. J. 163 (2014), no. 10, 1929-1964.
  The published article is available here.
  
  
• Bounding Lagrangian widths via geodesic paths
  (joint work with Matthew Strom Borman)
  Compositio Mathematica. 150 (2014), no. 12, 2143-2183.
  The published article is available here.
  
  
• Reeb orbits and the minimal discrepancy of an isolated singularity
  Inventiones mathematicae. 204 (2016), no. 2, 505-594.
  The published article is available here.
  
  
• Normal Crossings Singularities for Symplectic Topology
  (joint work with Mohammad Farajzadeh Tehrani and Aleksey Zinger)
  Advances in Mathematics. 339 (2018), 672-748.
  The published article is available here.
  
  
• The Smoothability of Normal Crossings Symplectic Varieties (Preprint)
  (joint work with Mohammad Farajzadeh Tehrani and Aleksey Zinger)
  
  
• Affine Varieties, Singularities and the Growth Rate of Wrapped Floer Cohomology
  Journal of Topology and Analysis. 10 (2018), no. 3, 493-530.
  The published article is available here.
  
  
• Local Uniruledness Does Not Imply Global Uniruledness in Symplectic Geometry (Preprint)
  
  
• Floer Cohomology, Multiplicity and the Log Canonical Threshold
  Geometry & Topology. 23 (2019), no. 2, 957-1056.
  The published article is available here.
  
  
• Singularities and Semistable Degenerations for Symplectic Topology
  (joint work with Mohammad Farajzadeh Tehrani and Aleksey Zinger)
  Comptes Rendus Mathematique. 356 (2018), no. 4, 420-432
  The published article is available here.
  
  
• The McKay correspondence via Floer theory
  (joint work with Alex Ritter).
  Journal of Differential Geometry (Accepted).
  
  
  
• Birational Calabi-Yau manifolds have the same small quantum products
  Annals of Mathematics. 191 (2020), no. 2, 439-579
  The published article is available here.
  
  
• Normal Crossings Singularities for Symplectic Topology, II (Preprint)
  (joint work with Mohammad Farajzadeh Tehrani and Aleksey Zinger)
  
  
• Complex cobordism, Hamiltonian loops and global Kuranishi charts (Preprint)
  (joint work with Mohammed Abouzaid and Ivan Smith)
  
  
• Normal Crossings Singularities for Symplectic Topology: Structures (Preprint)
  (joint work with Mohammad Farajzadeh Tehrani and Aleksey Zinger)
  
  
• Gromov-Witten invariants in complex-oriented generalised cohomology theories (to Appear in GAFA).
  (joint work with Mohammed Abouzaid and Ivan Smith)