branko juran


Department of Mathematical Sciences
Universitetsparken 5, Building 4
2100 Copenhagen Ø
Office 04.4.03, bj(at)math.ku.dk
+453532984

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I am a third year PhD Student at the Copenhagen Centre for Geometry and Topology. My supervisor is Jesper Grodal. In September 2025, I will join Markus Hausmann's research group at the University of Bonn.

Research Interest: Homotopy theory (equivariant, but recently also motivic), higher category theory. I also like manifolds.


Prepublications

For G a finite group and V a finite dimensional real G-representation, we prove that an E_V-algebra is equivalent to a V-fold loop space if and only if A^H is group-like for all such that dim V^H ≥ 1.

Given an algebraic torus, by delooping the coweight lattice, one obtains a topological torus with an action of the Galois group. We identify the algebraic K-theory of the algebraic torus with the equivariant Bredon homology of the topological torus with coefficients the K-theory of the base field.

We prove that the ∞-category of orthogonal factorization systems embeds fully faithfully into the ∞-category of double ∞-categories. Moreover, we prove an (un)straightening equivalence for double ∞-categories, which restricts to an (un)straightening equivalence for op-Gray fibrations and curved orthofibrations of orthogonal factorization systems.

My bachelor's thesis


Talks


Conferences organized


Collaborators

Florian Riedel Qingyuan Bai Shachar Carmeli Natalie Stewart


Other Friends

Shai Keidar Oscar Harr Kristian Toccacelo Fadi Mezher Christian Kremer Marie-Camille Delarue Ruth Wild Azélie Picot Vignesh Subramanian Jordan Levin Dani Kaufmann Maxime Ramzi Rin Ray Lea Kornau Ryan Quinn Priya Kaveri Robert Burklund Jan Steinebrunner Adela Zhang