Welcome

This is the homepage of Prof. Scott Wilson, Mathematics, at Queens College.
I am also a member of the doctoral faculty of Mathematics at The Graduate Center, CUNY. My research is on the topology and geometry of manifolds.

e-mail: scott.wilson@qc.cuny.edu
609 Kiely Hall
65-30 Kissena Blvd
Queens, NY 11367 USA

Seminars

Differential Geometry and Topology

Editorial

Complex Manifolds (De Gruyter)
Journal of Homotopy and Related Structures (Springer)

Publications and Preprints

  • Homotopy BV-algebras in Hermitian geometry, with J. Cirici, Journal of Geometry and Physics, Volume 204, 2024, 105275. Preprint arXiv:2403.12314.
  • Conformally symplectic structures and the Lefschetz condition, with M. Lejmi, Comptes Rendus - Serie Mathematique, vol 362, 2024, p. 1491-1495. Preprint arXiv:2403.12304.
  • A ddc-type condition beyond the Kahler realm, with J. Stelzig, Journal de l'Institut de Mathematiques de Jussieu, Cambridge University Press, 2024;23(4):1651-1704. Preprint arxiv:2208.01074.
  • Hodge-de Rham numbers of almost complex 4-manifolds with J. Cirici, Expositiones Mathematicae, 2022. Preprint arxiv:2201.08260.
  • Dolbeault cohomology for almost complex manifolds, with J. Cirici, Advances in Mathematics, Volume 391, 2021. Preprint arxiv:1809.01416.
  • Almost complex manifolds with small Nijenhuis tensor, with L. Fernandez, and T. Shin, Complex Manifolds 8:329-335, 2021. Preprint arxiv:2103.06090.
  • Almost Hermitian Identities, with J. Cirici, Mathematics 2020, 8, 1357. Preprint arxiv:2008.04390.
  • Harmonic symmetries for Hermitian manifolds, Proc. of AMS, Vol 148, No.7 , July 2020, Pages 3039-3045. Preprint arxiv:1906.02952. A useful related reference: Structure table and identities.
  • Topological and geometric aspects of almost Kahler manifolds via harmonic theory, with J. Cirici, Selecta Mathematica New Series, 26, 35 (2020). Preprint arxiv:1809.01414.
  • Center of mass and Kahler structures, with Mahmoud Zeinalian, J. Geom. 110 (2019), no. 2, 110:33. Preprint arxiv:1802.06315
  • Results concerning almost complex structures on the six-sphere, Symmetry, Integrability and Geometry: Methods and Applications, 14 (2018), 034, 21 pages.
  • Differential K-theory as equivalence classes of maps to Grassmannians and unitary groups, with Thomas Tradler and Mahmoud Zeinalian, New York Journal of Mathematics, Vol. 22 (2016), p. 527-581.
  • One more proof of the index formula for block Toeplitz operators, with Thomas Tradler and Mahmoud Zeinalian, Journal of Operator Theory, 76(1):2016, p. 101-104.
  • A loop group extension of the odd Chern character, Journal of Geometry and Physics, Vol 102, 2016, p. 32-43.
  • Loop differential K-theory, with T. Tradler and M. Zeinalian. Annales Mathematiques Blaise Pascal, Vol 22, No. 1, p. 121-163, 2015.
  • Pseudodeterminants and perfect square spanning tree counts, with J. L. Martin, M. Maxwell, V. Reiner, Journal of Combinatorics, Vol. 6, Num. 3, 295-325, 2015. arxiv:1311.6686
  • An elementary differential extension of odd K-theory, with T. Tradler and M. Zeinalian, J. of K-theory, volume 12, issue 02, Oct. 2013, pp. 331-361. arxiv:1211.4477
  • Equivariant holonomy for bundles and abelian gerbes, with T. Tradler and M. Zeinalian, Comm. Math. Phys., Vol. 315, Issue 1, 2012, pg 38-108.
  • Homotopy DG algebras induce homotopy BV algebras, with John Terilla and Thomas Tradler, J. of Homotopy Related Structures, vol 6 (1), 2011, pp. 177-182.
  • Differential forms, fluids, and finite models, Proc. of Amer. Math. Soc. 139 (2011), 2597-2604.
  • Rectifying partial algebras over operads of complexes, Topology and Its Appl., Vol 157, Issue 18, Dec. 1, 2010, 2880-2888.
  • Some algebra and applications related to mapping spaces, joint with T. Tradler and M. Zeinalian, Mathematisches Forschungsinstitut Oberwolfach, Report No. 28 2009, Strings, Fields and Topology. June 7-13 2009.
  • Conformal cochains, Trans. Amer. Math. Soc. 360 (2008), 5247-5264. Addendum.
  • Cochain algebra on manifolds and convergence under refinement, Topology and its Appl, 154 no. 9 (2007) 1898-1920.
  • On the Algebra and Geometry of a Manifold's Chains and Cochains. PhD dissertation, Stony Brook University. August 2005.

    • Proceedings

  • Oberwolfach Mini-Workshop: Almost Complex Geometry, with Daniele Angella, Joana Cirici, Jean-Pierre Demailly, Oberwolfach Reports, vol. 17, no. 4, p.1657-1691.

    • PhD Advising

    Matthew Cushman (2021)
    Qian Chen (2020)
    Arthur Parzygnat (2016)

    Slides

  • On the interplay between topology, geometry, and complex analysis on compact manifolds.
  • Small Nijenhuis tensors on almost complex manifolds with no complex structure

    • Videos

  • Topological implications of Kahler-type symmetries for Hermitian and Almost Kahler manifolds
  • New techniques for studying the topology and geometry of almost complex manifolds
  • Equivariant extensions of holonomy and secondary invariants
  • Chern Simons forms, free loopspaces, and K-theory
  • Loop Differential K-theory
  • The Algebraic Structure of Chains
  • Combinatorial Approximation to Differential Forms
  • Some local trail riding