I am a postdoctoral fellow at the Max Planck Institute for Mathematics in Bonn, where I will be from August 2021 to July 2023.
In 2021 I obtained my PhD from Stony Brook University, under the guidance of
Dennis Sullivan.
I mostly think about rational homotopy theory and what it can say about the topology and geometry of manifolds,
with an emphasis on almost complex manifolds.
You can find my CV here.
Email: milivojevic[[at]]mpim-bonn.mpg.[[de]]
Research
Publications and accepted:
(with Jiahao Hu) Infinite symmetric products of rational algebras and spaces, 2021. arxiv.org/abs/2108.09794. Accepted to Comptes Rendus Mathématique.
On the characterization of rational homotopy types and Chern classes of closed almost complex manifolds, 2021, pdf. Based on a large part of my thesis; I gave an overview at the 2020 Oberwolfach mini-workshop "Almost complex Geometry", with extended abstract here.
Some notes
On the sixth k-invariant in the Postnikov tower for BSO(3), pdf
Some calculations of the rational homotopy type of the classifying space for fibrations up to fiber homotopy equivalence, pdf
A note on the difference between the sum of the Hodge numbers and Betti numbers on a non-Kähler complex manifold, pdf
Notes for a talk I gave at the City University of New York Graduate Center K-Theory seminar in November 2018, on setting up and calculating the Frölicher spectral sequence.
Notes for a talk I gave at the Stony Brook Symplectic Geometry student seminar in August 2018, titled "Symplectic non-Kähler manifolds".
Notes for a talk I gave at the Stony Brook graduate student seminar in February 2018 as an introduction to rational homotopy theory.
A 1956 paper by Haefliger, Sur l'extension du groupe structural d'un espace fibré,
translated from French to English. The original can be found here in the Comptes Rendus archives, pp.558-560. This is the paper where the second Stiefel-Whitney class was first explicitly identified as the (only) obstruction for an oriented bundle to admit a spin structure.