Robin Koytcheff
Assistant Professor
Topology
440 Maxim Doucet Hall
337-482-5298
koytcheff@louisiana.edu
Robin Koytcheff's webpage
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:
- Komendarczyk, Rafal and Robin Koytcheff and Voli\'{c Ismar, Diagram complexes, formality, and configuration space integrals for spaces of braids, The Quarterly Journal of Mathematics 71 (2020) no. 2, 729--779.
- Koytcheff, Robin and Voli\'c Ismar, Milnor invariants of string links, trivalent trees, and configuration space integrals, Topology Appl., 251 (2019),47--69.
- 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, R. and Shonkwiler, C., Homotopy string links and the $\kappa$-invariant, Bull. Lond. Math. Soc., 49 (2017) no. 2,246--260.
- Koytcheff, Robin, Homotopy Bott-Taubes integrals and the Taylor tower for spaces of knots and links, J. Homotopy Relat. Struct., 11 (2016) no. 3,443--467.
- 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
- Koytcheff, Robin, 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 Voli\'c Ismar, Configuration space integrals and the cohomology of the space of homotopy string links, J. Knot Theory Ramifications, 22 (2013) no. 11,1350061, 73.
- Koytcheff, Robin, A homotopy-theoretic view of Bott-Taubes integrals and knot spaces, Algebr. Geom. Topol., 9 (2009) no. 3,1467--1501.