Staff profile

• Differential Topology
• Algebraic Topology

• Pure Mathematics: Topology

Chapter in book

• Schuetz, Dirk. (2003). Geometric chain homotopy equivalences between Novikov complexes. In High-dimensional manifold topology. Farrell, F.T. & Lück, W. World Scientific Publishing Co. 469-498.
• Geoghegan, Ross, Nicas, Andrew & Schuetz, Dirk (2000). Obstructions to homotopy invariance in parametrized fixed point theory. In Geometry and topology: Aarhus (1998). Grove, K., Madsen, I.H. & Pedersen, E.K. Contemporary Mathematics: American Mathematical Society. 258: 157-175.

Journal Article

• Lobb, Andrew, Orson, Patrick & Schuetz, Dirk (2022). A calculus for flow categories. Advances in Mathematics 409(Part B): 108665.
• Schuetz, Dirk (2022). A scanning algorithm for odd Khovanov homology. Algebraic and Geometric Topology 22: 1287-1324.
• Schuetz, Dirk (2021). Corrigendum to: A fast algorithm for calculating S-invariants. Glasgow Mathematical Journal
• Mukherjee, Sujoy & Schuetz, Dirk (2021). Arbitrarily large torsion in Khovanov cohomology. Quantum Topology 12(2): 243-264.
• Schuetz, Dirk (2021). A fast Algorithm for calculating S-Invariants. Glasgow Mathematical Journal 63(2): 378-399.
• Schuetz, Dirk (2020). Torsion calculations in Khovanov cohomology. Journal of Knot Theory and its Ramifications 29(8): 2071001.
• Lobb, Andrew, Orson, Patrick & Schuetz, Dirk (2020). Khovanov homotopy calculations using flow category calculus. Experimental Mathematics 29(4): 475-500.
• Jones, Dan, Lobb, Andrew & Schuetz, Dirk (2019). An sl(n) stable homotopy type for matched diagrams. Advances in Mathematics 356: 106816.
• Lobb, Andrew, Orson, Patrick & Schuetz, Dirk (2018). Framed cobordism and flow category moves. Algebraic & Geometric Topology 18: 2821-2858.
• Lobb, Andrew, Jones, Daniel & Schuetz, Dirk (2017). Morse moves in flow categories. Indiana University Mathematics Journal 66(5): 1603-1657.
• Lobb, Andrew, Orson, Patrick & Schuetz, Dirk (2017). A Khovanov stable homotopy type for colored links. Algebraic and Geometric Topology 17(2): 1261-1281.
• Schuetz, Dirk (2016). Intersection homology of linkage spaces in odd dimensional Euclidean space. Algebraic and Geometric Topology 16(1): 483-508.
• Schuetz, Dirk (2016). Intersection homology of linkage spaces. Journal of Topology and Analysis 08(01): 25-58.
• Arraut, José, Martins, Luciana & Schuetz, Dirk (2013). On singular foliations on the solid torus. Topology and its Applications 160(13): 1659-1674.
• Schuetz, Dirk (2013). Homology of moduli spaces of linkages in high-dimensional Euclidean space. Algebraic & Geometric Topology 13(2): 1183–1224.
• Farber, M, Hausmann, J-C & Schuetz, D (2011). The Walker conjecture for chains in ℝd. Mathematical Proceedings of the Cambridge Philosophical Society 151(02): 283-292.
• Schuetz, Dirk. (2010). The isomorphism problem for planar polygon spaces. Journal of Topology 3(3): 713-742.
• Farber, Michael, Geoghegan, Ross & Schuetz, Dirk. (2010). Closed 1-forms in topology and geometric group theory. Russian Mathematical Surveys 65(1): 143-172.
• Schuetz, Dirk. (2009). Novikov homology of HNN-extensions and right-angled Artin groups. Algebraic & Geometric Topology 9(2): 773-809.
• Farber, Michael, Hausmann, Jean-Claude & Schuetz, Dirk. (2009). On the conjecture of Kevin Walker. Journal of Topology and Analysis 1(1): 65-86.
• Schuetz, Dirk. (2008). On the direct product conjecture for sigma invariants. Bulletin of the London Mathematical Society 40(4): 675-684.
• Farber, Michael & Schuetz, Dirk. (2008). Homological category weights and estimates for cat^1(X,ξ). Journal of the European Mathematical Society 10(1): 243-266.
• Farber, Michael & Schuetz, Dirk. (2008). Closed 1-forms in topology and dynamics. Russian Mathematical Surveys 63(6): 1079-1136.
• Farber, M. & Schuetz, D. (2007). Homology of planar polygon spaces. Geometriae Dedicata 25: 75-92.
• Farber, M. & Schuetz, D. (2007). Moving homology classes to infinity. Forum Mathematicum 19: 281-296.
• Schuetz, Dirk. (2007). On the Whitehead group of Novikov rings associated to irrational homomorphisms. Journal of Pure and Applied Algebra 208(2): 449-466.
• Farber, Michael & Schuetz, Dirk (2007). Cohomological estimates for cat(X,xi). Geometry and Topology 11(1): 1255-1288.
• Farber, Michael & Schuetz, Dirk. (2006). Novikov-Betti numbers and the fundamental group. Russian Mathematical Surveys 61(6): 1173-1175.
• Schuetz, Dirk (2006). Finite domination, Novikov homology and nonsingular closed 1-forms. Mathematische Zeitschrift 252(3): 623-654.
• Farber, Michael & Schutz, Dirk (2006). Closed 1-forms with at most one zero. Topology 45(3): 465-473.
• Rosenthal, David & Schuetz, Dirk (2005). On the algebraic K- and L-theory of word hyperbolic groups. Mathematische Annalen 332(3): 523-532.
• Schuetz, Dirk. (2004). On the Lusternik-Schnirelman theory of a real cohomology class. Manuscripta mathematica 113(1): 85-106.
• Schuetz, Dirk. (2004). Zeta functions for gradients of closed 1-forms. Topology and its Applications 144(1-3): 147-160.
• Schuetz, Dirk (2002). One-parameter fixed-point theory and gradient flows of closed 1-forms. K-Theory 25(1): 59-97.
• Schuetz, Dirk. (2002). Gradient flows of closed 1-forms and their closed orbits. Forum Mathematicum 14(4): 509-537.
• Schuetz, Dirk. (2002). Controlled connectivity of closed 1-forms. Algebraic and Geometric Topology 2: 171-217.