Assistant Professor of Mathematics
Dylan P. Thurston, Assistant Professor of Mathematics, joined the Barnard faculty in 2005. Previously, he was a Benjamin Peirce Assistant Professor at Harvard University.
At Barnard and Columbia, Professor Thurston teaches courses in calculus, analysis, and symmetry. His research is in the area of low-dimensional topology, with special emphasis on finite-type invariants and geometric 3-manifold topology.
Professor Thurston is the organizer of the Columbia University Geometry/Topology seminar.
"The Aarhus invariant of rational homology 3-spheres III: The relation with the Le-Murakami-Ohtsuki invariant," with D. Bar-Natan, S. Garoufalidis, and L. Rozansky, Selecta Mathematica (in press).
"Cluster algebras and triangulated surfaces. Part I: Cluster complexes," with S. Fomin and M. Shapiro, Acta Mathematica. (to appear).
"A random tunnel number one 3-manifold does not fiber over the circle," with N. Dunfield, Geometry and TopologyVol. 10 (2006): 2431–2499.
"Two applications of elementary knot theory to Lie algebras and Vassiliev invariants," with D. Bar-Natan and T. Le, Geometry and Topology Vol. 7, No. 1 (2003): 1–31.
"The Aarhus invariant of rational homology 3-spheres I: A highly non-trivial flat connection on S3,” with D. Bar-Natan, S. Garoufalidis, and L. Rozansky, Selecta Mathematica (N.S.) Vol. 8, No. 3 (2002): 315–339.
"The Aarhus invariant of rational homology 3-spheres II: Invariance and universality," with D. Bar-Natan, S. Garoufalidis, and L. Rozansky, Selecta Mathematica (N.S.) Vol. 8, No. 3 (2002): 341-371.
"On the existence of finite type link homotopy invariants," with Blake Mellor, J. Knot Theory Ramifications Vol. 10, No. 7 (2001): 1025–1039.
"Wheels, wheeling, and the Kontsevich integral of the unknot," with D. Bar-Natan, S. Garoufalidis, and L. Rozansky, Israel J. MathVol. 119 (2000): 217–237.
Low dimensional topology