D. Lukas B. Brantner

E-mail:  brantner[at]math[dot]harvard[dot]edu

I am a graduate student of Jacob Lurie in the Department of Mathematics at Harvard University. Before this, I obtained my BA/MMath at the University of Cambridge (St. John's College).

My current primary research interests lie in chromatic homotopy theory, derived algebraic geometry, and combinatorial topology. Previously, I have carried out some research in geometric group theory with Danny Calegari. I am also interested in abelian, non-abelian, and p-adic Hodge theory.

Here is my CV. If you would like to see my current research statement, please send me a message.

I organised three rounds of the Harvard-MIT graduate topology seminar "Juvitop" covering the following topics: Kervaire Invariant One Problem, Rational Homotopy and Formality, and Algebraic K-Theory. I also co-organised the Harvard graduate seminar "Trivial Notions" in 2013.


The Lubin-Tate Theory of Spectral Lie Algebras. In preparation (presented in Oxford and Bonn).

The Action of Young Subgroups on the Partition Complex (with Arone). Recorded talk at Banff. Draft available upon request.

The vn-periodic Goodwillie Tower on Wedges and Cofibres (with Heuts). Submitted.

On the Complexity of Sails (Appendix by Freddie Manners). Published in the Pacific Journal of Mathematics.

My thesis (edited).

Expository Articles

Abelian and Nonabelian Hodge Theory. Article.

The p-adic Hodge Theory of Semistable Galois Representations. Article.


I delivered Vector Calculus lectures ("Math 21a") at Harvard in the Fall of 2015 and in the Spring of 2017.