Contact InformationEmail: jkmiller at stanford dot edu Office: 383A, Building 380, Stanford, California, 94305. EducationI received my PhD from Stanford University in 2012 under the supervision of Ralph Cohen. Publications and Preprints- Representation stability for homotopy groups of configuration spaces with Alexander Kupers, Journal für die reine und angewandte Mathematik (to appear).
- En-cell attachments and a local-to-global principle for homological stability with Alexander Kupers.
- Improved homological stability for configuration spaces after inverting 2 with Alexander Kupers. Homology, Homotopy and Applications (to appear).
- Homological stability for symmetric complements with Alexander Kupers and TriThang Tran, Transactions of the American Mathematical Society (to appear). Note that this paper subsumed: Homological stability for complements of closures with Alexander Kupers.
- Homological stability for topological chiral homology of completions with Alexander Kupers.
- Some stable homology calculations and Occam's razor for Hodge structures with Alexander Kupers, Journal of Pure and Applied Algebra, 218 (2014), no. 7, 1219-223.
- Scanning for oriented configuration spaces with Martin Palmer. Homology, Homotopy and Applications (to appear).
- A twisted homology fibration criterion and the twisted group-completion theorem with Martin Palmer, Quarterly Journal of Mathematics (to appear).
- Localization and homological stability of configuration spaces with Martin Bendersky, Quarterly Journal of Mathematics, 65 (2014), no. 3,807-815.
- The topology of the space of J-holomorphic maps to CP^2, Geometry and Topology (to appear).
- Nonabelian Poincare duality after stabilizing, Trans. Amer. Math. Soc. 367 (2015), no. 3, 1969–1991.
- Homological stability properties of spaces of rational J-holomorphic curves in P^2, Algebraic & Geometric Topology, 13 (2013), no.1, 453-478.
SeminarsAt the CUNY Graduate Center, I organized the Student topology seminar and the Configuration spaces and E_n algebras seminar. TeachingMath 113 at Stanford University Math 215C at Stanford University Math 156.2 at Hunter College. Math 260.2 at Hunter College. |