Juhnke, Martina

Wintersemester 2025/26

Sommersemester 2025

since 2023 member of the steering committee of the DFG priority programme Combinatorial Synergies

since 10/2018 Professor (W2) for Discrete Mathematics at University of Osnabrück

04/2015–09/2018 Juniorprofessor at University of Osnabrück

02/2014–03/2015 Akademischer Rat at Goethe-Universität, Frankfurt am Main

05/2012–02/2014 postdoctoral researcher at Goethe-Universität, Frankfurt am Main

09/2010–04/2012 postdoctoral researcher at University of Vienna, Vienna (Austria)

09/2009–08/2010 postdoctoral researcher at Háskólin í Reykjavík, Reykjavík (Iceland)

08/2007–02/2008 visiting PhD student Cornell University (Ithaca), host: Irena Peeva

10/2006–07/2009 PhD student Philipps-Universität Marburg/Lahn

10/2001–08/2006 Diploma Study Philipps-Universität Marburg/Lahn (Diploma Thesis)

Research interests

Algebraic combinatorics

I am interested in the combinatorics of simplicial complexes, in particular in problems concerning the enumeration of their faces and in topics related to the g-conjecture, i.e., the face enumeration of spheres or also more general complexes. Often algebraic methods turn out to be useful for this type of problems.
 

Combinatorial commutative algebra

I am interested in the study of algebraic and combinatorial properties of (monomial) ideals associated to combinatorial objects such as graphs, posets and simplicial complexes. The aim is to understand how algebraic invariants and properties are influenced by combinatorial properties and vice versa.
 

Topological combinatorics

The idea of topological combinatorics is to use topological methods in combinatorics. Roughly speaking, one shows that a combinatorial object, such as a graph, a simplicial complex or a matroid exhibits a certain topology property, in order to apply technologies from topology and then to deduce a combinatorial property.
 

Discrete and convex geometry

My interests in discrete and convex geometry mainly lie in the study of combinatorics and geometry of polytopes and polyhedra, including e.g., the enumeration of lattice points and subdivisions of polytopes. 
 

Applications to Physics

Lately, I started to study connections between physics, in particular cosmology, and discrete geometry. Key words in this area are cosmological polytopes, cosmohedra, canonical forms, positive geometries and the flat space wavefunction. 

Prof. Dr. rer. nat. Martina Juhnke

Fachbereich 6: Mathematik/Informatik/Physik

Albrechtstr. 28a
Osnabrück 49076

Raum: 69/218

Tel:  +49 541 969-2554
Fax:  +49 541 969-2770
Homepage:  http://tina.juhnix.net

 martina.juhnke@uni-osnabrueck.de