Members and their research interests
The research interests of current and past members of GeoTop Centre are listed below.
Faculty
Postdocs
Research interests: geometric topology and applications of topology to problems in geometry, combinatorics, and discrete mathematics. 

Andrea Bianchi (PhD, University of Bonn) My research is in algebraic topology, and I am broadly interested in moduli spaces of manifolds and configuration spaces. Currently, I am generalising the notion of Hurwitz spaces, taking coefficients in a quandle, and I am investigating parametrised cobordism categories in low dimension. 

Arindam Biswas
My research interests include combinatorial group theory, additive number theory, spectral graph theory and expanders, with applications to related aspects of computer science. 



My research is in algebraic topology, often using the connections between topology and arithmetic. I am particularly interested in the topology of moduli spaces and results involving stability. Ronno's UCPH profilez 

Alexander Friedrich (PhD, University of Potsdam) My research interests are geometric PDE, variational calculus, and mathematical physics. In particular, I work on translators of the mean curvature flow and generalized Willmore functional which relate to mathematical physics. 

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

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. 

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 (PhD, University of Bonn 2016): I work in algebraic topology and homotopy theory, more specifically in algebraic Ktheory, Ltheory, and relations to high dimensional manifold topology. I am also interested in C*algebras, topological Ktheory and the (stable) classification of 4manifolds. 

Felix Lubbe (PhD, Leibniz University Hannover): My research focuses on geometric analysis. I am in particular interested in the mean curvature flow in higher codimension, the behavior of graphs in Riemannian and Lorentzian product manifolds under this flow, and applications of the results in homotopy theory and mathematical physics. 

John Ma (PhD, University of British Columbia) My interest lies in geometric analysis. In particular (Lagrangian) mean curvature flow and Ricci flow, with a focus on solitons and ancient solutions.




Peter Patzt (PhD, Die Freie Universität Berlin): My research lies within algebraic topology and is concerned with the cohomology of groups in sequences. Often stability phenomena under the names of homological stability and representation stability occur. I'm particularly interested in the cohomology of arithmetic groups and applications to algebraic Ktheory and number theory. 

Nasrin Altafi Razlighi


The main focus of my research lies in discrete and computational geometry, in particular combinatorics of point sets, mass partitions and geometric transversals. I am particularly interested in applications of other areas of mathematics to these type of questions. Patrick's UCPH page Patrick's Personal Home Page


Lukas Woike (PhD, University of Hamburg) My research area lies at the interface of algebraic topology, representation theory and mathematical physics. More specifically, I use higher categories and homotopy theory to construct and investigate topological field theories and modular functors. The results lead to applications to representation categories, in particular nonsemisimple ones.


Hailun Zheng (PhD, University of Washington, 2017)
I am interested in combinatorics, with connections to commutative algebra, topology, and convexity. In particular, I study various combinatorial invariants on polytopes and manifolds. 
PhD students
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.


Dagur Tomas Asgeirsson (advisor: D. Clausen) My research concerns aspects of condensed mathematics. It was my background in algebraic geometry that sparked my interest in the subject, but I am currently studying modern homotopy theory and learning the language of ∞categories, which are crucial to understanding and answering more advanced questions in the field Dagur's UCPH Page Dagur's personal website 

David Bauer (advisor: N. Wall) My research interest lies in Algebraic topology, with a particular focus on homological and representation stability of unitary groups and general linear groups. 

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. 

I am interested in algebraic geometry, and recently I have been learning about algebraic K theory, chromatic homotopy theory and on how they relate. 

Pierre Elis (advisor: N. Wahl) I am interested in homotopy theory and in the geometry of manifolds. In particular, my PhD should focus on homotopy theoretic techniques to capture geometric information such as invariants of manifolds, homotopy types of bordism categories or/and moduli spaces of manifolds. Currently, I am studying string topology questions. 

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.


Ali Muhammad (advisor Niels Martin Møller) My main research will be within singularity analysis of the mean curvature flow. I am also interested in mathematical problems in General Relativity such as stability. 

Daria Poliakova (advisors: L. Hesselholt & R. Nest) My research interests are in algebraic topology and homological algebra. I am interested in questions about homotopy theory of DGcategories (e.g. some homotopy limit computations) and operadic diagonals. I am also interested in Hochschild homology and related theories. 

Maxime Ramzi (advisors: J. Grodal and M. Land ) I'm interested in categorical and higher algebra, and equivariant versions thereof; especially as they relate to representation theory  whether it's classical representation theory, or in more derived contexts. In particular, I study invariants such as Ktheory and topological Hochschild homology and I try to see what information I can extract from them about representation theory." UCPH Page Personal homepage 

Johanna Steinmeyer (Advisor K. Adiprasito) I am interested in combinatorics, especially whenever it hints at an underlying structure coming from another area of mathematics. This often manifests as problems stated in terms of simplicial complexes or lattice polytopes, and techniques adapted from algebraic geometry and algebraic topology. 

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. 

Kaif Hilman Bin Muhammad Borhan Tan (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! 

Vignesh Subramanian (advisor: J. Grodal) I am interested in topology and representation theory. The research for his PhD will concern computing Picard groups of suitable Gequivariant categories using methods from homotopy theory.


Jingxuan Zhang (advisor: Niels Martin Møller) I am interest in nonlinear PDE arising from statistical physics. In particular, I study the geometric features in the GinzburgLandau theory of superconductivity, both at equilibrium and under various dynamics. 

Nanna Aamand (advisor: N. Wahl): I am interested in the intersection between algebraic topology and mathematical physics, more precisely in the study of topological quantum field theories.
