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.

Postdocs PhD students


Research interests

Postdocs


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 non-commutative 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 BV-algebras.
Adam Dor-On Adam Dor-On (PhD, University of Waterloo 2017): My research interests include functional analysis, operator theory, operator algebras, symbolic dynamics, graph theory, the theory of random walks and quantum information theory.
Myresearch focuses on interactions between C*-algebras and their various substructures, which include non-self-adjoint operator algebras and operator systems. Such interactions often pave the way to the resolution of open problems and applications in other areas of mathematics such as dynamical systems, group and semigroup theory, the theory of Markov chains and non-commutative convex geometry.
Simon Gritschacher 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 p-adic Hodge theory and the theory of degenerations of algebraic varieties,
Bernardo Villarreal Herrera Bernardo Herrera (PhD, University of British Columbia Vancouver, 2017): My work is in the homotopy theory of spaces of representations and classifying spaces.
Ryomei Iwasa (PhD, University of Tokyo, 2018): My research interests are algebraic K-theory, 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.
Markus Land Markus Land (PhD, University of Bonn 2016): I work in algebraic topology and homotopy theory, more specifically in algebraic K-theory, L-theory, and relations to high dimensional manifold topology. I am also interested in C*-algebras, topological K-theory and the (stable) classification of 4-manifolds.
Guchuan Li Guchuan Li (PhD, Northwestern University): I am interested in algebraic topology, with a particular emphasis on chromatic homotopy theory and its interaction with equivariant homotopy theory.
Rubén Martos (PhD, University Paris Diderot): My research interests are non-commutative geometry and operator algebras. Specifically, I have been studying the interplay between quantum groups and K-theory in the context of the Baum-Connes 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 re-map the cytosolic space.
Sam Nariman Sam Nariman (PhD, Stanford University): My research interests, in general, include applications of homotopy theory in studying moduli space of geometric structures and in particular foliated manifold bundles, stable homology of moduli spaces, automorphism groups of manifolds, in particular three-manifolds.
Thomas Wasserman (PhD, Oxford 2018): My research 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


Alexis Aumonier Alexis Aumonier (advisor: S. Galatius): I am interested in algebraic topology and will try to investigate new aspects of moduli spaces of manifolds from the point of view of homotopy theory.
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 K-theory of p-posets: More concretely, I will compute the homology groups and K-theory of the p-posets of some specific finite groups G and verify the Knörr-Robinson's conjecture in these cases.
Alexander Frei

Alexander Frei (advisor: S. Eilers): Myinterest lies in the classification of C*-algebras, together with their ideal structure, via homological and homotopical invariants, mainly ideal-related KK-theory and E-theory (and a dynamical variant thereof).
I’m planning to use graph C*-algebras for testing purposes, together with my advisor. Indeed, C*-algebras arising from directed graphs already give a relatively large class of examples with ideal lattice encoded combinatorially within the graph.
The further aim is to proceed towards the more general class of C*-algebras associated to topological groupoids. These constitute a prominent candidate for the class of all classifiable C*-algebras. For this, I planned to first investigate the relation between graph and groupoid C*-algebras more closely, and further on their counterparts in KK-theory and E-theory. As a side project, I planned to take a look at matricial Cuntz algebras. These depict an interesting class of examples "in-between" graph and groupoid C*-algebras.

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 G-invariant 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. 
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".
Jeroen van der Meer Jeroen van der Meer (advisor: J. Grodal): My research area will lie in the application of homotopy theory to the study of algebraic groups and their representations. But ask me again in a few months, and I'll give you a more precise answer as to what I am to do!
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.
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.
Robin Sroka (advisor: N. Wahl): My research interests lie at the intersection of algebraic topology and geometric group theory. The preliminary goal of my PhD project is to investigate the relation between homological stability phenomena and properties of certain (semi-)simplicial sets.