Staff profile

• Algebraic Topology
• Differential Topology

Chapter in book

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

Journal Article

• A note on the X-torsion order of a knot
  
  Schuetz, D. (2025). A note on the X-torsion order of a knot. Canadian Mathematical Bulletin. Advance online publication. https://doi.org/10.4153/S0008439525000323
• On an integral version of the Rasmussen invariant
  
  Schuetz, D. (2023). On an integral version of the Rasmussen invariant. Michigan Mathematical Journal, 1-24. https://doi.org/10.1307/mmj/20226211
• A calculus for flow categories
  
  Lobb, A., Orson, P., & Schuetz, D. (2022). A calculus for flow categories. Advances in Mathematics, 409(Part B), Article 108665. https://doi.org/10.1016/j.aim.2022.108665
• Corrigendum to: A fast algorithm for calculating S-invariants
  
  Schuetz, D. (2022). Corrigendum to: A fast algorithm for calculating S-invariants. Glasgow Mathematical Journal, 64(2), 526-526. https://doi.org/10.1017/s001708952100032x
• A scanning algorithm for odd Khovanov homology
  
  Schuetz, D. (2022). A scanning algorithm for odd Khovanov homology. Algebraic and Geometric Topology, 22, 1287-1324. https://doi.org/10.2140/agt.2022.22.1287
• A fast Algorithm for calculating S-Invariants
  
  Schuetz, D. (2021). A fast Algorithm for calculating S-Invariants. Glasgow Mathematical Journal, 63(2), 378-399. https://doi.org/10.1017/s0017089520000257
• Arbitrarily large torsion in Khovanov cohomology
  
  Mukherjee, S., & Schuetz, D. (2021). Arbitrarily large torsion in Khovanov cohomology. Quantum Topology, 12(2), 243-264. https://doi.org/10.4171/qt/149
• Torsion calculations in Khovanov cohomology
  
  Schuetz, D. (2020). Torsion calculations in Khovanov cohomology. Journal of Knot Theory and Its Ramifications, 29(8), Article 2071001. https://doi.org/10.1142/s0218216520710017
• Khovanov homotopy calculations using flow category calculus
  
  Lobb, A., Orson, P., & Schuetz, D. (2020). Khovanov homotopy calculations using flow category calculus. Experimental Mathematics, 29(4), 475-500. https://doi.org/10.1080/10586458.2018.1482805
• An sl(n) stable homotopy type for matched diagrams
  
  Jones, D., Lobb, A., & Schuetz, D. (2019). An sl(n) stable homotopy type for matched diagrams. Advances in Mathematics, 356, Article 106816. https://doi.org/10.1016/j.aim.2019.106816
• Framed cobordism and flow category moves
  
  Lobb, A., Orson, P., & Schuetz, D. (2018). Framed cobordism and flow category moves. Algebraic and Geometric Topology, 18, 2821-2858. https://doi.org/10.2140/agt.2018.18.2821
• Morse moves in flow categories
  
  Lobb, A., Jones, D., & Schuetz, D. (2017). Morse moves in flow categories. Indiana University Mathematics Journal, 66(5), 1603-1657. https://doi.org/10.1512/iumj.2017.66.6136
• A Khovanov stable homotopy type for colored links
  
  Lobb, A., Orson, P., & Schuetz, D. (2017). A Khovanov stable homotopy type for colored links. Algebraic and Geometric Topology, 17(2), 1261-1281. https://doi.org/10.2140/agt.2017.17.1261
• Intersection homology of linkage spaces
  
  Schuetz, D. (2016). Intersection homology of linkage spaces. Journal of Topology and Analysis, 08(01), 25-58. https://doi.org/10.1142/s1793525316500023
• Intersection homology of linkage spaces in odd dimensional Euclidean space
  
  Schuetz, D. (2016). Intersection homology of linkage spaces in odd dimensional Euclidean space. Algebraic and Geometric Topology, 16(1), 483-508. https://doi.org/10.2140/agt.2016.16.483
• On singular foliations on the solid torus
  
  Arraut, J., Martins, L., & Schuetz, D. (2013). On singular foliations on the solid torus. Topology and Its Applications, 160(13), 1659-1674. https://doi.org/10.1016/j.topol.2013.06.012
• Homology of moduli spaces of linkages in high-dimensional Euclidean space
  
  Schuetz, D. (2013). Homology of moduli spaces of linkages in high-dimensional Euclidean space. Algebraic and Geometric Topology, 13(2), 1183-1224. https://doi.org/10.2140/agt.2013.13.1183
• The Walker conjecture for chains in ℝd
  
  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. https://doi.org/10.1017/s030500411100020x
• Closed 1-forms in topology and geometric group theory
  
  Farber, M., Geoghegan, R., & Schuetz, D. (2010). Closed 1-forms in topology and geometric group theory. Russian Mathematical Surveys, 65(1), 143-172. https://doi.org/10.1070/rm2010v065n01abeh004663
• The isomorphism problem for planar polygon spaces
  
  Schuetz, D. (2010). The isomorphism problem for planar polygon spaces. Journal of Topology, 3(3), 713-742. https://doi.org/10.1112/jtopol/jtq024
• On the conjecture of Kevin Walker
  
  Farber, M., Hausmann, J.-C., & Schuetz, D. (2009). On the conjecture of Kevin Walker. Journal of Topology and Analysis, 1(1), 65-86. https://doi.org/10.1142/s1793525309000023
• Novikov homology of HNN-extensions and right-angled Artin groups
  
  Schuetz, D. (2009). Novikov homology of HNN-extensions and right-angled Artin groups. Algebraic and Geometric Topology, 9(2), 773-809. https://doi.org/10.2140/agt.2009.9.773
• Closed 1-forms in topology and dynamics
  
  Farber, M., & Schuetz, D. (2008). Closed 1-forms in topology and dynamics. Russian Mathematical Surveys, 63(6), 1079-1136. https://doi.org/10.1070/rm2008v063n06abeh004579
• On the direct product conjecture for sigma invariants
  
  Schuetz, D. (2008). On the direct product conjecture for sigma invariants. Bulletin of the London Mathematical Society, 40(4), 675-684. https://doi.org/10.1112/blms/bdn048
• Homological category weights and estimates for cat^1(X,ξ)
  
  Farber, M., & Schuetz, D. (2008). Homological category weights and estimates for cat^1(X,ξ). Journal of the European Mathematical Society, 10(1), 243-266. https://doi.org/10.4171/jems/110
• Cohomological estimates for cat(X,xi)
  
  Farber, M., & Schuetz, D. (2007). Cohomological estimates for cat(X,xi). Geometry and Topology, 11(1), 1255-1288. https://doi.org/10.2140/gt.2007.11.1255
• Moving homology classes to infinity.
  
  Farber, M., & Schuetz, D. (2007). Moving homology classes to infinity. Forum Mathematicum, 19, 281-296. https://doi.org/10.1515/forum.2007.010
• Homology of planar polygon spaces.
  
  Farber, M., & Schuetz, D. (2007). Homology of planar polygon spaces. Geometriae Dedicata, 25, 75-92. https://doi.org/10.1007/s10711-007-9139-7
• On the Whitehead group of Novikov rings associated to irrational homomorphisms.
  
  Schuetz, D. (2007). On the Whitehead group of Novikov rings associated to irrational homomorphisms. Journal of Pure and Applied Algebra, 208(2), 449-466. https://doi.org/10.1016/j.jpaa.2006.01.005
• Closed 1-forms with at most one zero
  
  Farber, M., & Schutz, D. (2006). Closed 1-forms with at most one zero. Topology, 45(3), 465-473. https://doi.org/10.1016/j.top.2005.06.006
• Finite domination, Novikov homology and nonsingular closed 1-forms
  
  Schuetz, D. (2006). Finite domination, Novikov homology and nonsingular closed 1-forms. Mathematische Zeitschrift, 252(3), 623-654. https://doi.org/10.1007/s00209-005-0868-8
• Novikov-Betti numbers and the fundamental group
  
  Farber, M., & Schuetz, D. (2006). Novikov-Betti numbers and the fundamental group. Russian Mathematical Surveys, 61(6), 1173-1175. https://doi.org/10.1070/rm2006v061n06abeh004378
• On the algebraic K- and L-theory of word hyperbolic groups
  
  Rosenthal, D., & Schuetz, D. (2005). On the algebraic K- and L-theory of word hyperbolic groups. Mathematische Annalen, 332(3), 523-532. https://doi.org/10.1007/s00208-005-0634-6
• On the Lusternik-Schnirelman theory of a real cohomology class.
  
  Schuetz, D. (2004). On the Lusternik-Schnirelman theory of a real cohomology class. Manuscripta Mathematica, 113(1), 85-106. https://doi.org/10.1007/s00229-003-0423-z
• Zeta functions for gradients of closed 1-forms
  
  Schuetz, D. (2004). Zeta functions for gradients of closed 1-forms. Topology and Its Applications, 144(1-3), 147-160. https://doi.org/10.1016/j.topol.2004.04.005
• Gradient flows of closed 1-forms and their closed orbits
  
  Schuetz, D. (2002). Gradient flows of closed 1-forms and their closed orbits. Forum Mathematicum, 14(4), 509-537. https://doi.org/10.1515/form.2002.024
• One-parameter fixed-point theory and gradient flows of closed 1-forms
  
  Schuetz, D. (2002). One-parameter fixed-point theory and gradient flows of closed 1-forms. K-Theory, 25(1), 59-97. https://doi.org/10.1023/a%3A1015079805400
• Controlled connectivity of closed 1-forms
  
  Schuetz, D. (2002). Controlled connectivity of closed 1-forms. Algebraic and Geometric Topology, 2, 171-217. https://doi.org/10.2140/agt.2002.2.171