Postdocs and PhD students
Current Postdocs and PhD students  Past Postdocs and PhD students
The current postdocs and PhD students at the Centre for Symmetry and Deformation are here listed with photos and research interests. Click on a name to jump to research interests.
Research interests
Postdocs

Tobias Barthel (PhD, Harvard/Oxford 2014): I am interested in stable homotopy theory and its interactions with representation theory and algebraic geometry. In particular, much of my work is inspired by ideas from chromatic and transchromatic homotopy theory. More recently, I have also been thinking about various forms of (local) duality in algebra and topology.


Daniel Bergh (PhD, Stockholm University): My reserach is in algebraic geometry. More specifically, I am interested in the theory of algebraic stacks, resolution of singularities and motivic invariants. I have also done some work in noncommutative geometry. 

Kaj Börjeson (PhD, Stockholm University 2017): I am interested in topology and algebra, especially topics connected to Koszul duality, rational homotopy theory, Hochschild cohomology, operads and BValgebras. 

Elden Elmanto (PhD, Northwestern 2018): My research interesest is in algebraic geometry and its interactions with homotopy theory. This occurs mainly through MorelVeovodsky's motivic homotopy theory, the theory of motives, and algebraic Ktheory.


Simon Gritschacher (PhD, University of Oxford 2016): My research is in algebraic topology and I am specifically interested in generalised cohomology theories, and in spaces of representations and their homotopy theory. 

Cody Gunton (PhD, University of Arizona, 2018): My research focuses on questions in padic Hodge theory and the theory of degenerations of algebraic varieties, 

Márton Hablicsek (PhD, University of WisconsinMadison 2014): My research is in algebraic geometry with focus on Derived Algebraic Geometry and Combinatorial Algebraic Geometry. 

Markus Hausmann (Phd, University of Bonn, 2016): My research is in algebraic topology, in particular different forms of equivariant homotopy theory. At the moment I am studying global equivariant spectra and try to apply them to problems in equivariant and nonequivariant topology. 

Renee Hoekzema (PhD, Oxford, 2018): My mathematics research concerns algebraic and geometric topology, particularly in the study of manifolds, cobordism categories and topological quantum field theories. I am also interested in mathematical (palaeo)biological questions as well as mathematical physics, particularly relativity and quantum gravity. 

Ryomei Iwasa (PhD, University of Tokyo, 2018): My research interests are algebraic Ktheory, algebraic cycles, motives, Hodge theory and (topological) cyclic homology. 

Anssi Lahtinen (PhD, Stanford University, 2010): My research interests lie in algebraic topology and homotopy theory, in particular string topology of classifying spaces and its applications to group homology and cohomology. 

Rubén Martos (PhD, University Paris Diderot): My research interests are noncommutative geometry and operator algebras. Specifically, I have been studying the interplay between quantum groups and Ktheory in the context of the BaumConnes conjecture. I intend to carry on my previous research as well as to extend my activities to other subjects in the domain. 

Alexandra Muñoz (PhD, University of New York): My research interests include developing applications of mathematics and physics to better describe cellular function, generalize intracellular chemistry, and remap the cytosolic space. 

Farbod Shokrieh: I am interested in nonArchimedean analytic and tropical geometry, combinatorics, algebraic and arithmetic geometry. 

Thomas Wasserman (PhD, Oxford 2018): Myresearch focuses on Topological Quantum Field Theories in low dimensions and connects with Conformal Field Theory, Fusion Categories and Higher Categories, as well as some Physics. 
PhD students

Clemens Borys (advisors: M. Rørdam & M. Musat): My research focuses on the interplay of groups, groupoids and C*algebras. For my Master's thesis I constructed a topological bicategory of C*correspondences, establishing a notion of continuous actions by correspondences, such that these reflect the original notions of continuous fields of C*algebras and C*correspondences by Fell. In a first research project, I will study recent techniques to understand the structure of groupoid C*algebras. 

Kevin Aguyar Brix (advisor: S. Eilers): I am interested in the interrelation between topological dynamical systems and their induced operator algebras.
More precisely, I study to which degree relations such as flow equivalence, orbit equivalence or conjugacy is reflected and remembered in the corresponding C*algebras along with its diagonal.


Francesco Campagna (advisor: F. Pazuki): My main research interest is algebraic number theory and I will carry out a project concerning elliptic curves with complex multiplication and their singular moduli. 

Zhipeng Duan (advisor: J.M. Møller): My PhD project is concerned about the Ktheory of pposets: More concretely, I will compute the homology groups and Ktheory of the pposets of some specific finite groups G and verify the KnörrRobinson's conjecture in these cases. 

Kaif Hilman (advisor: J. Grodal): I am interested in algebraic topology and will do research in derived group actions for particular examples of groups and topological spaces. 

Joshua Hunt (advisor J. Grodal): I will be investigating and calculating Picard groups in algebra and topology. It is expected that this will be done through derived induction theory, relating a Ginvariant object to those obtained by restricting to collections of subgroups. 

Mikala Ørsnes Jansen (advisor: S. Galatius): My research will be in the interplay between homology of groups and the theory of manifolds. Arithmetic groups share many features with diffeomorphism groups of manifolds. One goal will be to better understand the interplay between these two areas. 

Manuel Krannich (advisor: N. Wahl): Currently, my research revolves around homological stability of topological groups. Besides that, I am interested in bordism categories and moduli spaces of manifolds—mainly initiated through my master’s thesis.


Malte Leip (advisors: J. Grodal & L. Hesselholt): My interests lie in homotopy theory, particularly where homotopy theory and algebra meet in the form of higher algebra. My PhD project has a working title of "Topological Hochschild Homology of Log Schemes". 

Henning Olai Milhøj (advisor: M. Rørdam): My interests are in approximation properties and classification theory of C*algebras, and my first goal is to study which groups have strongly quasidiagonal C*algebras. 

Espen Auseth Nielsen (advisor: N. Wahl): I am interested in homotopy theory and homotopical algebra. I am studying the Hochschild homology of E_{n}algebras. 

Daria Poliakova (advisors: L. Hesselholt & R. Nest): I am interested in algebraic topology, homotopical algebra and DG categories. My PhD project is to be about topological Hochschild homology. 

Philipp Lothar Schmitt (advisor: R. Nest): My research is primarily in the field of formal deformation quantization and its links to strict quantization. In my master thesis, I worked on a construction of strict Wick type star products on coadjoint orbits due to Karabegov. I could find a locally convex topology on the sphere with respect to which this star product becomes continuous. 