My name is Dennis Borisov. I am an assistant professor of mathematics at the University of Windsor, Canada

email: Dennis dot Borisov at uwindsor dot ca

Mathematical works

Published:

• 1. "Shifted symplectic structures on derived Quot-stacks I - Differential graded manifolds" - joint work with Ludmil Katzarkov and Artan Sheshmani. Advances in Mathematics, Vol. 403 (2022).

  2. "Beyond perturbation 1: de Rham spaces" - joint work with Kobi Kremnizer. Journal of Geometry and Physics 124 (2018).

  3. "Virtual fundamental classes for moduli spaces of sheaves of Calabi-Yau four-folds" - joint work with Dominic Joyce. Geometry and Topology 21 (2017).

  4. "Topological characterization of various types of rings of smooth functions" Comm. in Analysis and Geometry Vol. 23, No. 2 (2015).

  5. "What is the higher-dimensional infinitesimal groupoid of a manifold?'' Journal of the Australian Mathematical Society 90 (2011).

  6. "Generalized operads and their inner cohomomorphisms'' - joint work with Yuri I. Manin. Progress in Mathematics, Vol. 265 (2007).

  7. "Homotopy Gerstenhaber structure on deformation complex of a morphism'' Journal of Pure and Applied Algebra 210 (2007).

  8. "Formal deformations of morphisms of associative algebras'' International Mathematics Research Notices No. 41 (2005).

Preprints:

• 1. "Global shifted potentials for moduli stacks of sheaves on Calabi-Yau four-folds II (the stable locus)" - joint work with Artan Sheshmani and Shing-Tung Yau

  2. "Global shifted potentials for moduli stacks of sheaves on Calabi-Yau four-folds I (derived schemes)" - joint work with Artan Sheshmani and Shing-Tung Yau

  3. "Beyond perturbation 2: asymptotics and Beilinson-Drinfeld Grassmannians in differential geometry" - joint work with Kobi Kremnizer

  4. "Quasi-coherent sheaves in differential geometry" - joint work with Kobi Kremnizer (2017).

  5. "Derived manifolds and d-manifolds" (2012)

  6. "Simplicial approach to derived differential manifolds" - joint work with Justin Noel (2011).

  7. "The club of simplicial sets" (2010).

  8. "Higher dimensional operads'' (2009).