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Durham University

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Staff Profile

Andrew Lobb, PhD Harvard University

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Professor, Topology in the Department of Mathematical Sciences

Contact Andrew Lobb

Research Groups

Department of Mathematical Sciences

  • Pure Mathematics
  • Pure Mathematics: Topology

Research Interests

  • Low-dimensional topology
  • Knot theory
  • Smooth 4-manifolds
  • Categorification

Publications

Journal Article

  • Lobb, Andrew, Orson, Patrick & Schuetz, Dirk (2020). Khovanov homotopy calculations using flow category calculus. Experimental Mathematics 29(4): 475-500.
  • Lobb, Andrew & Zentner, Raphael (2020). On spectral sequences from Khovanov homology. Algebraic and Geometric Topology 20(2): 531-564.
  • Lobb, Andrew (2019). A counterexample to Batson's conjecture. Mathematical Research Letters 26(6): 1789-1789.
  • Jones, Dan, Lobb, Andrew & Schuetz, Dirk (2019). An sl(n) stable homotopy type for matched diagrams. Advances in Mathematics 356: 106816.
  • Baldwin, John, Hedden, Matthew & Lobb, Andrew (2019). On the functoriality of Khovanov-Floer theories. Advances in Mathematics 345: 1162-1205.
  • Cincotti, Antonio, Maucher, Fabian, Evans, David, Chapin, Brette M., Horner, Kate, Bromley, Elizabeth, Lobb, Andrew, Steed, Jonathan W. & Sutcliffe, Paul (2019). Threaded Rings that Swim in Excitable Media. Physical Review Letters 123(25): 258102.
  • Lewark, Lukas & Lobb, Andrew (2019). Upsilon-like concordance invariants from sl(n) knot cohomology. Geometry and Topology 23(2): 745-780.
  • Lobb, Andrew, Orson, Patrick & Schuetz, Dirk (2018). Framed cobordism and flow category moves. Algebraic & Geometric Topology 18: 2821-2858.
  • Lobb, Andrew, Orson, Patrick & Schuetz, Dirk (2017). A Khovanov stable homotopy type for colored links. Algebraic and Geometric Topology 17(2): 1261-1281.
  • Lobb, Andrew, Jones, Daniel & Schuetz, Dirk (2017). Morse moves in flow categories. Indiana University Mathematics Journal 66(5): 1603-1657.
  • Lewark, Lukas & Lobb, Andrew (2016). New Quantum Obstructions to Sliceness. Proceedings of the London Mathematical Society 112(1): 81-114.
  • Lobb, Andrew (2014). 2–strand twisting and knots with identical quantum knot homologies. Geometry & Topology 18(2): 873-895
  • Lobb, Andrew (2014). The Kanenobu knots and Khovanov-Rozansky homology. Proceedings of the American Mathematical Society 142(4): 1447-1455.
  • Lobb, Andrew & Zentner, Raphael (2013). The Quantum sl(N) Graph Invariant and a Moduli Space. International Mathematics Research Notices
  • Lobb, Andrew (2012). A note on Gornik's perturbation of Khovanov-Rozansky homology. Algebraic & Geometric Topology 12(1): 293-305.
  • Lobb, Andrew (2011). Computable bounds for Rasmussen's concordance invariant. Compositio Mathematica 147(2): 661-668.
  • Lobb, Andrew & Zentner, Raphael (2010). On Casson-type instanton moduli spaces over negative definite 4-manifolds. Quarterly Journal of Mathematics 62(2): 433-450.
  • Lobb, Andrew. (2009). A slice genus lower bound from sl(n) Khovanov-Rozansky homology. Advances in Mathematics 222(4): 1220-1276.

Supervises