D. Lukas B. Brantner

E-mail:  dlbbrantner@mpim-bonn.mpg.de

I am currently a Researcher at the Max Planck Institute for Mathematics in Bonn.

Before this, I was a graduate student of Jacob Lurie in the Department of Mathematics at Harvard University,
after completing my undergraduate studies at the University of Cambridge (St. John's College).

My current 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 am currently co-organising the conference "Higher Algebra and Mathematical Physics". 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".


Papers

Deformation Theory via Partition Lie Algebras (with Mathew). Paper coming very soon. Oberwolfach Report (Topologie 2018).

The Lubin-Tate Theory of Spectral Lie Algebras. Draft available upon request. Mildly extended version of Ch. 3 + Ch. 4 of my thesis.

The Action of Young Subgroups on the Partition Complex (with Arone). Submitted. Recorded talk at Banff.

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.


Teaching

I delivered Vector Calculus lectures ("Math 21a") at Harvard in the Fall of 2015 and in the Spring of 2017. In January 2018, I held a Mini-Course on the Partition Complex at the MPI in Bonn.