CLD

Papers

Manifold diagrams and tame tangles

with C. Dorn

Modular categories as representations of the 3-dimensional bordism 2-category

with B. Bartlett, C. Schommer-Pries, and J. Vicary

Extended 3-dimensional bordism as the theory of modular objects

with B. Bartlett, C. Schommer-Pries, and J. Vicary

Internal bicategories

with A. Henriques

Conformal nets V: dualizability

with A. Bartels and A. Henriques, Comm. Math. Phys. 391 (2022), 1-31.

The balanced tensor product of module categories

with C. Schommer-Pries and N. Snyder, Kyoto J. Math. 59 (2019), 167-179.

Conformal nets IV: the 3-category

with A. Bartels and A. Henriques, Algebr. Geom. Topol. 18 (2018), 897–956.

Conformal nets II: conformal blocks

with A. Bartels and A. Henriques, Comm. Math. Phys. 354 (2017), 393–458.

Conformal nets I: coordinate-free nets

with A. Bartels and A. Henriques, Int. Math. Res. Not. 13 (2015), 4975-5052.

Dualizability and index of subfactors

with A. Bartels and A. Henriques, Quantum Topology 5 (2014), 289-345.

On the algebra of cornered Floer homology

with C. Manolescu, J. Topology 7 (2014), 1-68.

Fusion rings of loop group representations

Comm. Math. Phys. 319 (2013), 395-423.

Topological modular forms and conformal nets

with A. Henriques, Proc. Sympos. Pure Math. 83 (2011), 341-354.
In "Mathematical Foundations of QFT and Perturbative String Theory"

Homological obstructions to string orientations

with A. Henriques and M. Hill, Int. Math. Res. Not. 18 (2011), 4074-4088.

Higher topological cyclic homology and the Segal conjecture for tori

with G. Carlsson and B. Dundas, Adv. Math. 226 (2011), 1823-1874.

On the structure of the fusion ideal

Comm. Math. Phys. 290 (2009), 335-355.

On the twisted K-homology of simple Lie groups

Topology 45 (2006), 955-988.

On the fibrewise Poincare-Hopf theorem

Contemp. Math. 407 (2006), 101-111.
In "Recent Developments in Algebraic Topology"

Trace and transfer maps in the algebraic K-theory of spaces

K-Theory 36 (2005), 59-82.

Twisted parametrized stable homotopy theory

PhD Thesis, MIT 33095 (2005), 14-79.
In "Twisted stable homotopy theory"