**1) Topological K- and Algebraic L-theory of C*-algebras and their relation to higher Grothendieck-Witt theory**

**2) The algebraic topology of manifolds, particularly of high dimensional ones**

**3) Algebraic K-theory**

**4) (Stable) Classification of 4-manifolds**

**1) The Analytical Assembly map and Index theory**, Journal of Noncommutative geometry, Volume 9, Issue 2, (2015). Here is the arxiv version.

**2) Stable Classification of 4-manifolds with 3-manifold fundamental group**. Journal of Topology, Volume 10, Issue 3, (2017). This is joint with Daniel Kasprowski, Peter Teichner
and Mark Powell. Here is the arxiv version.

**3) Localization of Cofibration categories and groupoid C*-algebras**. Algebraic & Geometric Topology, Volume 17, Issue
5, (2017). This is joint with Thomas Nikolaus and Karol Szumiło. Here is the arxiv version.

**4) On the relation between K- and L-theory of C*-algebras**. Mathematische Annalen, Volume 371, Issue 1-2, (2018). This is joint with Thomas Nikolaus. Here is the arxiv version.

**5) On the K-theory of pullbacks. **Annals of Mathematics (to appear). This is joint with Georg Tamme. Here is the arxiv version.

**6) A Vanishing theorem for tautological classes of aspherical manifolds**. This is joint with Fabian Hebestreit, Wolfgang Lück and Oscar Randal-Williams. Here is the arxiv version. Submitted for publication.

**7) Reducibility of low dimensional Poincaré duality spaces. **Here is the arxiv version.

**8) Connected sum decompositions of high-dimensional manifolds. **This is joint with Imre Bokor, Diarmuid Crowley, Stefan Friedl, Fabian Hebestreit, Daniel Kasprowski, and
Johnny Nicholson. Here is the arxiv version.

**9) Topologically flat embedded 2-spheres in specific simply connected 4-manifolds. **This is joint with Daniel Kasprowski, Peter Lambert-Cole and Ana G. Lecuona. Here is
the arxiv version.