Publications

Deformation classes of invertible field theories and the Freed--Hopkins conjecture, preprint, https://arxiv.org/abs/2310.15866 

The geometric cobordism hypothesis, with D. Pavlov, preprint, https://arxiv.org/abs/2111.01095 

Extended field theories are local and have classifying spaces, with D. Pavlov, preprint https://arxiv.org/abs/2011.01208 

Twisted differential KO theory, with H. Sati, preprint https://arxiv.org/abs/1905.09085

Cobordisms of global quotient orbifolds and an equivariant Pontrjagin-Thom construction, preprint, https://arxiv.org/abs/1811.08794.

Parametrized geometric cobordism and smooth Thom stacks, with H. Sati, preprint, https://arxiv.org/pdf/1709.00686.

Ramond-Ramond fields and twisted differential K-theory, with H. Sati, Advances in Theoretical and Mathematical Physics, 22 (2022)

Differential KO theory: Constructions, computations and applications, with H. Sati, Advances in Math, 384 (2021) 107671

Differential cohomotopy versus differential cohomology for M-theory and differential lifts of Postnikov towers, with H. Sati, Journal of Geometry and Physics, 165 (2021) 104203

Twisted differential generalized cohomology theories and their Atiyah-Hirzebruch spectral sequence, with H. Sati, Algebraic and Geometric Topology, 19-6 (2019), 2899-2960.  

Higher-twisted periodic smooth Deligne cohomology, with H. Sati, Homology, Homotopy and Applications, 21-1 (2019), 129-159.

Primary operations in differential cohomology, with H. Sati, Advances in Math, 335 (2018), 519-562.

Twisted smooth Deligne cohomology, with H. Sati, Annals of Global Analysis and Geometry, 53-3 (2018), 445-466.

Spectral sequences in smooth generalized cohomology, with H. Sati, Algebraic and Geometric Topology, 17-4 (2017), 2357-2412.

Massey products in differential cohomology via stacks, with H. Sati, Journal of Homotopy and Related Structures, 13-1 (2017), 1-55.