# Alumni

## 2023 MCMP graduates

### Laurin Jonathan Felder

I finished my studies of physics in November 2022 and wrote my master's thesis under the supervision of Norbert Schuch. The topic of my thesis focusses on translation-invariant quantum systems given by one-dimensional spin chains. In particular, I examined the conditions under which an exact and finitely generated preparation of quantum states is possible in such a setting.

Working on this project has sparked my interest in quantum information and I wish to continue studying in this field in the future.

## 2022 MCMP graduates

### Manuel Mekonnen

I finished my Master's degree in physics in early 2023. My thesis that has been supervised by Harold Steinacker investigates the extraction of the geometrical content of matrix configurations in noncommutative geometry. In particular that includes the construction and examination of an associated smooth manifold based on quasi-coherent states.

My research interests are diverse but confined to the field of mathematical physics in which I am currently searching for a PhD position.

### Matti Cerwenka

I have graduated from the University of Vienna in April 2022 after having worked in the field of Higher Spin Theories for my master‘s thesis. Supervised by Stefan Fredenhagen I have studied the restrictions of gauge invariance on independent vertices of such theories. Besides Higher Spin Theories I am interested in other approaches to quantum gravity, such as String Theory, as well.

The MCMP program provides students of physics and mathematics alike with plenty of interesting courses, seminars and lectures in the domain of mathematical physics. Therefore, due to the MCMP, I have been given the tools to lay the groundwork to now be able to look into a PhD position in mathematical physics.

### Julian Kupka

I finalized my Master’s thesis in Physics in Sommer 2022. My thesis, supervised by Jan Rosseel, was concerned with T-dualities in non-relativistic string theory and their implementation in a target space approach. Contrary to the case of relativistic strings, T-duality maps a non-relativistic theory maps to a relativistic theory with a null killing vector.

My current research interests are two-fold. On the one hand, I like to study problems in mathematical physics through the lens of geometry and symmetries, especially in the language of Lie groups and algebras, representation theory, as well as principal fiber bundles and G-structures.

On the other hand, I am interested in theories beyond the standard model in particular in string theory and how it gives rise to dynamic spacetime geometries, ultimately leading to a theory of quantum gravity.

At the moment, I am looking for PhD-positions throughout Europe that align with my fields of interest.

### Maximilian Kraft

I am currently transforming my master thesis into a paper together with David Fajman. My master thesis was about the closed universe recollapse conjecture, i.e. the conjecture that all spacetimes of spatial topology $S^1$, $S^1 \times S^2$ or any connected sum of those will recollapse provided the positive pressure sum condition is satisfied. I also studied the case of more general spatial topologies with a negative cosmological constant for spatial homogeneous anisotropic spacetimes and could show that those spacetimes will always recollapse independent of the spatial topology.

### Chiara Martyka

I finished my Master’s thesis in Physics in early 2022 where I studied the use of topological methods in hydrodynamics.

Currently, I am working on my thesis in Mathematics, where I study the topology of periodic structures, particularly in the context of zeolites, under the supervision of Prof. Vera Vértesi from the Department of Mathematics of the University of Vienna, and Prof. Herbert Edelsbrunner from the ISTA.

### Aaron Hofer

I finished my Master's studies in Physics at the University of Vienna in early 2022. In my Master's thesis, supervised by Nils Carqueville, I studied topological quantum field theories with defects and tangential structures. More generally I am interested in studying the topology and geometry of manifolds using ideas and heuristics from quantum field theory as well as techniques from (higher) algebra.

Currently, I am studying the connection between spin structures on manifolds and super gradings in the algebraic description of field theories defined on them. The MCMP helped me appreciate the connections between mathematics and physics by providing excellent lecture courses and seminars on many fascinating topics.

## 2021 MCMP graduates

### Josef Greilhuber

I graduated from the University of Vienna in 2020 with a Master's degree in Mathematics. My Master's thesis, on a regularity problem related to analysis in several complex variables, was supervised by Bernhard Lamel. Currently I am studying for my PhD at Stanford University in California. My interests in Mathematics lie in several complex variables, harmonic analysis and wave equations. The mathematical aspects of general relativity, which have a lot to do with the latter two, captivate me ever since I got to know about them in the MCMP.

### Maximilian Ofner

I am currently working as a prae doc researcher for Prof. Fajman in the field of relativistic fluids in mathematical cosmology.

### Liam Urban

I started my doctorate in Mathematics at the University of Vienna in October 2021, supervised by Prof. Dr. David Fajman from the Faculty of Physics and co-supervised by Prof. Dr. Michael Eichmair from the Faculty of Mathematics. I am working on the stability of Big Bang formations within certain cosmological models.

## 2020 MCMP graduates

### Tobias Beran

I am currently working with Prof. Kunzinger on Lorentzian length spaces. Lorentzian length spaces are a synthetic approach to Lorentzian geometry where one only remembers causality and the time separation function. One can do curvature bounds. I do hyperbolic angles (and describe their properties), try to recover a notion of spacelike distance (and describe its properties) and try to form gluing statements in Lorentzian length spaces.

### Willi Kepplinger

I am now doing a PhD in low dimensional topology under the supervision of Prof. Vera Vértesi. The goal of my PhD project is to find connections between the topology of contact structures in dimension 3, i.e. non integrable plane field distributions on 3-manifolds, and Riemannian metrics adapted to them. One way of motivating the study of these structures is that there is a strong connections between the topology of integrable plane fields (i.e. foliations) and Riemannian metrics adapted to them, which has proven fruitful in low dimensional topology. Another is that contact structures (together with adapted metrics) provide examples of exotic solutions to the stationary Euler equations and Lorentzian manifolds with strange causilty properties.

### Matthias Ostermann

I am a PhD student in Mathematics, supervised by Roland Donninger and supported by the Vienna School of Mathematics. In my PhD project, I explore new techniques for the global stability analysis of blowup in nonlinear geometric wave equations. Such equations capture important features of physical evolution equations, e.g., from General Relativity, where my physical interests lie. The MCMP provided to me an excellent environment for complementing my mathematical education with fascinating topics from mathematical physics.

### Argam Ohanyan

I am currently doing my PhD under the supervision of Prof. Roland Steinbauer at the Department of Mathematics of the University of Vienna. My research focuses on spacetimes of low regularity and singularity theore