Andrew Senger

email: senger at math dot harvard dot edu

I am an NSF postdoc at Harvard. I received my PhD in 2021 from MIT under Haynes Miller.

My interests lie in homotopy theory and its applications, broadly construed.

I am currently on the tenure-track job market! You can find my CV here.

Preprints and Papers:

  1. Crystallinity for reduced syntomic cohomology and the mod (p, v_1 ^{p^{n-2}}) K-theory of Z/p^n with Jeremy Hahn and Ishan Levy (2024).

  2. Exact bounds for even vanishing of K_* (Z/p^n) with Achim Krause (2024).

  3. Examples of disk algebras with Sanath Devalapurkar, Jeremy Hahn, Tyler Lawson and Dylan Wilson (2023).

  4. Inertia groups of (n-1)-connected 2n-manifolds with Adela YiYu Zhang (2022).

  5. Obstruction theory and the level n elliptic genus (2022). Compositio Mathematica 159(9), 2000--2021.

  6. Unstable homotopy groups, an appendix to How big are the stable homotopy groups of spheres? by Robert Burklund (2022). This appendix is joint work with Robert Burklund.

  7. Galois reconstruction of Artin-Tate R-motivic spectra with Robert Burklund and Jeremy Hahn (2020).

  8. Inertia groups in the metastable range with Robert Burklund and Jeremy Hahn (2020). To appear in American Journal of Mathematics.

  9. Odd primary analogs of Real orientations with Jeremy Hahn and Dylan Wilson (2020). Geometry & Topology 27, 87--129.

  10. On the high-dimensional geography problem with Robert Burklund (2020). To appear in Geometry & Topology.

  11. On the boundaries of highly connected, almost closed manifolds with Robert Burklund and Jeremy Hahn (2019). Acta Mathematica 231(2), 205--344.

  12. The Brown-Peterson spectrum is not E_{2(p^2+2)} at odd primes (2017). To appear in Advances in Mathematics.

I am currently supported by NSF Grant DMS-2103236. From 2018-2021, I was supported by NSF Grant DGE-1745302.