Andrew Senger

email: senger at umd dot edu

I am a tenure-track assistant professor at the University of Maryland. From 2021 to 2025, I was 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.

In the Fall 2026 semester, I am teaching MATH 740: Fundamental Concepts of Differential Geometry. In the Spring 2027 semester, I will be at the special semester on Stable Homotopy Theory and Arithmetic Geometry at the Harvard CMSA.

Preprints and Papers:

  1. On the chromatic splitting conjecture in coheight 1 with Tobias Barthel, Lucas Mann, Rin Ray, Tomer Schlank, Jared Weinstein and Xinyu Zhou (2026).

  2. Splitting the Madsen-Tillmann Spectra MTθn with Jonathan Sejr Pedersen (2025).

  3. Crystallinity for syntomic cohomology, etale cohomology, and algebraic K-theory with Jeremy Hahn and Ishan Levy (2024).

  4. Exact bounds for even vanishing of K_* (Z/p^n) with Achim Krause (2024). International mathematical research notices.

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

  6. Inertia groups of (n-1)-connected 2n-manifolds with Adela YiYu Zhang (2022). Journal für die reine und angewandte Mathematik.

  7. Obstruction theory and the level n elliptic genus (2022). Compositio Mathematica.

  8. 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.

  9. Galois reconstruction of Artin-Tate R-motivic spectra with Robert Burklund and Jeremy Hahn (2020). Geometry & Topology.

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

  11. Odd primary analogs of Real orientations with Jeremy Hahn and Dylan Wilson (2020). Geometry & Topology.

  12. On the high-dimensional geography problem with Robert Burklund (2020). Geometry & Topology.

  13. On the boundaries of highly connected, almost closed manifolds with Robert Burklund and Jeremy Hahn (2019). Acta Mathematica.

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

I was previously supported by NSF Grants DMS-2103236 and DGE-1745302.