# Research

**Preprints**

Farber’s conjecture and beyond. Submitted.

On the stabilization of the topological complexity of graph braid groups. Submitted.

The Lubin–Tate theory of configuration spaces: I. Joint with Lukas Brantner and Jeremy Hahn. Submitted.

Configuration spaces in algebraic topology. Expository lecture notes.

**Published**

Robertson’s conjecture and universal finite generation in the homology of graph braid groups. Joint with Eric Ramos. Sel. Math. New Ser., to appear (2024).

Analog category and complexity. Joint with Shmuel Weinberger. SIAM J. Appl. Algebra Geom., to appear (2024).

Embedding calculus and smooth structures. Joint with Alexander Kupers. Geom. Topol., to appear (2023).

Projection spaces and twisted Lie algebras. Contemp. Math. 790 (2023).

Robertson’s conjecture in algebraic topology. Joint with Eric Ramos. Sémin. Lothar. Comb. 89B (2023).

The topological complexity of pure graph braid groups is stably maximal. Forum Math. Sigma 10 (2022).

Extremal stability for configuration spaces. Joint with Jeremy Miller and Philip Tosteson. Math. Ann. 3 (2022), pp. 1–22.

On the second homology of planar graph braid groups. Joint with Byung Hee An. J. Topol. 15 (2022), pp. 666–691.

A Kuenneth theorem for configuration spaces. Joint with Kathryn Hess. J. London Math. Soc. 105 (2022), pp. 639–664.

Asymptotic homology of graph braid groups. Joint with Byung Hee An and Gabriel C. Drummond-Cole. Geom. Topol. 26 (2022), 1745–1771

Farber’s conjecture for planar graphs. Sel. Math. New Ser. 27 (2021).

Edge stabilization in the homology of graph braid groups. Joint with Byung Hee An and Gabriel C. Drummond-Cole. Geom. Topol. 24 (2020), pp. 421–469.

Subdivisional spaces and graph braid groups. Joint with Byung Hee An and Gabriel C. Drummond-Cole. Doc. Math. 24 (2019), pp. 1513–1583.

Configuration spaces of products. Joint with William Dwyer and Kathryn Hess. Trans. Amer. Math. Soc. 371 (2019), pp. 2963–2985.

Higher enveloping algebras. Geom. Topol. 22 (2018), pp. 4013–4066.

Betti numbers of configuration spaces of surfaces. Joint with Gabriel C. Drummond-Cole. J. London Math. Soc. 96 (2017), pp. 367–393.

Betti numbers and stability for configuration spaces via factorization homology. Algebr. Geom. Topol. 17 (2017), pp. 3137–3187.