Staff profile
Overview
Professor Dirk Schuetz
1H Course Director, Professor, Topology
Affiliation | Telephone |
---|---|
1H Course Director, Professor, Topology in the Department of Mathematical Sciences | +44 (0) 191 33 43089 |
Research interests
- Algebraic Topology
- Differential Topology
Publications
Chapter in book
- Schuetz, D. (2003). Geometric chain homotopy equivalences between Novikov complexes. In F. Farrell, & W. Lück (Eds.), High-dimensional manifold topology (469-498). World Scientific Publishing
- 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) (157-175). American Mathematical Society
Journal Article
- Schuetz, D. (online). On an integral version of the Rasmussen invariant. Michigan Mathematical Journal, 1-24. https://doi.org/10.1307/mmj/20226211
- Schuetz, D. (online). Corrigendum to: A fast algorithm for calculating S-invariants. Glasgow Mathematical Journal, https://doi.org/10.1017/s001708952100032x
- 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
- Schuetz, D. (2022). A scanning algorithm for odd Khovanov homology. Algebraic & geometric topology, 22, 1287-1324. https://doi.org/10.2140/agt.2022.22.1287
- Schuetz, D. (2021). A fast Algorithm for calculating S-Invariants. Glasgow Mathematical Journal, 63(2), 378-399. https://doi.org/10.1017/s0017089520000257
- Mukherjee, S., & Schuetz, D. (2021). Arbitrarily large torsion in Khovanov cohomology. Quantum Topology, 12(2), 243-264. https://doi.org/10.4171/qt/149
- 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
- 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
- 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
- Lobb, A., Orson, P., & Schuetz, D. (2018). Framed cobordism and flow category moves. Algebraic & geometric topology, 18, 2821-2858. https://doi.org/10.2140/agt.2018.18.2821
- 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
- Lobb, A., Orson, P., & Schuetz, D. (2017). A Khovanov stable homotopy type for colored links. Algebraic & geometric topology, 17(2), 1261-1281. https://doi.org/10.2140/agt.2017.17.1261
- Schuetz, D. (2016). Intersection homology of linkage spaces. Journal of Topology and Analysis, 08(01), 25-58. https://doi.org/10.1142/s1793525316500023
- Schuetz, D. (2016). Intersection homology of linkage spaces in odd dimensional Euclidean space. Algebraic & geometric topology, 16(1), 483-508. https://doi.org/10.2140/agt.2016.16.483
- 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
- Schuetz, D. (2013). Homology of moduli spaces of linkages in high-dimensional Euclidean space. Algebraic & geometric topology, 13(2), 1183-1224. https://doi.org/10.2140/agt.2013.13.1183
- 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
- Schuetz, D. (2010). The isomorphism problem for planar polygon spaces. Journal of Topology, 3(3), 713-742. https://doi.org/10.1112/jtopol/jtq024
- 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
- Schuetz, D. (2009). Novikov homology of HNN-extensions and right-angled Artin groups. Algebraic & geometric topology, 9(2), 773-809. https://doi.org/10.2140/agt.2009.9.773
- 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
- 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
- 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
- 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
- Farber, M., & Schuetz, D. (2007). Cohomological estimates for cat(X,xi). Geometry & Topology, 11(1), 1255-1288. https://doi.org/10.2140/gt.2007.11.1255
- Farber, M., & Schuetz, D. (2007). Moving homology classes to infinity. Forum Mathematicum, 19, 281-296. https://doi.org/10.1515/forum.2007.010
- 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
- Farber, M., & Schuetz, D. (2007). Homology of planar polygon spaces. Geometriae Dedicata, 25, 75-92. https://doi.org/10.1007/s10711-007-9139-7
- Farber, M., & Schutz, D. (2006). Closed 1-forms with at most one zero. Topology (Oxford), 45(3), 465-473. https://doi.org/10.1016/j.top.2005.06.006
- 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
- 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
- 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
- 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
- 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
- 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
- Schuetz, D. (2002). Controlled connectivity of closed 1-forms. Algebraic & geometric topology, 2, 171-217. https://doi.org/10.2140/agt.2002.2.171
- 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
Supervision students
Chris Johnson
2P
Michael Kohn
2P