Welcome

This is the homepage of Scott Wilson,
Professor of 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.

Contact Info

Scott O. Wilson
609 Kiely Hall
65-30 Kissena Blvd
Queens, NY 11367 USA

e-mail:
scott.wilson AT qc.cuny.edu

Courses (Spring 2024)

Calculus/Differentiation (Math 141)
Elementary Analysis (Math 310)

Seminars

Differential Geometry and Topology

PhD Advising

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

Editorial

Journal of Homotopy and Related Structures

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, to appear in Comptes Rendus - Serie Mathematique, 2024.
  • A ddc-type condition beyond the Kahler realm, with J. Stelzig, Journal de l'Institut de Mathematiques de Jussieu, Cambridge Univeristy 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.

    • 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