I am a postdoc (
Wissenschaftlicher Mitarbeiter) in the group of
Răzvan Gurău.
Before, I was a postdoc (
adiunkt naukowy) in the
group of Piotr Sułkowski at the
Institute of Theoretical Physics, University of Warsaw, Poland. Prior to that,
I did my Ph.D. in mathematics at the WWU-Münster, under supervision of
Raimar Wulkenhaar.
Generally, I'm interested in mathematical physics, specially if this has applications in quantum gravity.
Without being a probabilist, roughly speaking, I work with random geometry ("the Euclidean quantum theory of geometry").
In order to define the gravity partition function, regulating procedures are commonly applied (this procedure is not
only present in quantum gravity but often preformed in quantum field theory)
The approaches I have worked on come in two flavours: first, simplicial
or PL-approximations of manifolds, which precisely are generated by theory of random tensors (whose
large-
N was an essential finding by Gurău); the second is
an algebraic approach based on finite-dimensional approximations in Connes' noncommutative geometry (NCG).
On the random tensors side, I am interested in topological and
geometric problems. Before, I worked on combinatorial and QFT aspects of random tensors,
like
loop equations (Dyson-Schwinger) equations and a
Ward-Takahashi Identity, and on the geometric interpretation of their correlation functions.
In random (finite) noncommutative geometry, 'geometry' (since our aim is gravitation, then also physics) is
encoded in the spectrum of a Dirac operator. Regulating the path integral over Dirac operators
means a spectral truncation. This, in turn, leads to a ubiquitous topic in mathematical physics:
random matrix theory. Interestingly, the models that NCG gives us
come with multiple matrices and with multitraces (the latter feature is not well-studied
in the random matrix literature). These geometries are also then referred to as matrix (or fuzzy) geometries.
Here I worked computing the spectral action and derived Yang-Mills(-Higgs) theory on a matrix geometry.
Lately I'm also interested in functional renormalization, which helps to connect the quantum gravity models with low energy theories (formulated on smooth manifolds).
I focused first on
multimatrix models motivated by NCG.
I am teaching the course Elektrodynamik (
Tutor WiSe 23/24).
Albert-Ueberle-Str. 3-5, Büro 111.
Tel. +49-6221-54-9457
My e-mail is my first surname
with domain ITP-Heidelberg. Hints: