Ph.D., 2010, Stanford University
B.S., 2005, Columbia University
Prior to arriving at UL Lafayette, I held postdoctoral positions at Brown University, the University of Victoria, and the University of Massachusetts Amherst. My research interests lie in spaces of knots and links, at the interface of algebraic and geometric topology. This means that I study geometric objects such as knots, links, and configuration spaces using concepts from algebraic topology, such as operads and functor calculus.
Selected research publications:
Havens, Andrew and Robin Koytcheff
Spaces of knots in the solid torus, knots in the thickened torus, and links in the 3-sphere,
Geom. Dedicata, 214, (2021), 671-737.
Komendarczyk, Rafal and Robin Koytcheff and Ismar Volić,
Diagram complexes, formality, and configuration space integrals for spaces of braids,
The Quarterly Journal of Mathematics 71 (2020) no. 2, 729--779.
Bott-Taubes-Vassiliev cohomology classes by cut-and-paste topology,
Internat. J. Math., 30, (2019) 10, 1950047, 64.
Budney, Ryan and Conant, James and Koytcheff, Robin and Sinha,Dev,
Embedding calculus knot invariants are of finite type,
Algebr. Geom. Topol., 17 (2017) no.3,1701--1742.
Cohen, F. R. and Komendarczyk, R. and Koytcheff, Robin and Shonkwiler, C.,
Homotopy string links and the $\kappa$-invariant,
Bull. Lond. Math. Soc., 49 (2017) no. 2,246--260.
Burke, John and Koytcheff, Robin,
A colored operad for string link infection,
Algebr. Geom. Topol., 15 (2015) no. 6,3371--3408
Blair, Ryan and Burke, John and Koytcheff, Robin,
A prime decomposition theorem for the 2-string link monoid,
J. Knot Theory Ramifications, 24 (2015) no. 2,1550005, 24
The Milnor triple linking number of string links by cut-and-paste topology,
Algebr. Geom. Topol., 14 (2014) no. 2,1205--1247
Koytcheff, Robin and Munson, Brian A. and Volić, Ismar,
Configuration space integrals and the cohomology of the space of homotopy string links,
J. Knot Theory Ramifications, 22 (2013) no. 11,1350061, 73.
A homotopy-theoretic view of Bott-Taubes integrals and knot spaces,
Algebr. Geom. Topol., 9 (2009) no. 3,1467--1501.