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Prof. Dr. rer. nat. Martina Juhnke

Institut für Informatik Wachsbleiche 27 49090 Osnabrück
Raum:	69/218
Telefon:	+49 541 969-2554
Fax:	0541/ 969- 2770
E-Mail:	martina.juhnke@uni-osnabrueck.de
Homepage:	http://tina.juhnix.net

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.

Teaching

Wintersemester 2026/27

Name	VNR	Link
Mathematische Software		Details

Sommersemester 2026

Name	VNR	Link
Mathematische Software		Details

Wintersemester 2025/26

Name	VNR	Link
Codierungstheorie und Kryptographie	6.022	Details
Kolloquium der Mathematik	6.150	Details
Mathematische Software		Details
Oberseminar Algebra/diskr. Mathematik und angew. Algebra/Datenanalyse	6.164	Details
Seminar Elemente der Mathematik (BEU)	6.090	Details
Seminar Kombinatorik	6.120	Details

Sommersemester 2025

Name	VNR	Link
Diskrete Mathematik	6.028	Details
Mathematische Software		Details
MK/RC Simplizialkomplexe und Matroide	6.316	Details
Oberseminar Algebra/diskr. Mathematik und angew. Algebra/Datenanalyse	6.164	Details

Wintersemester 2024/25

Name	VNR	Link
Körper- und Galoistheorie	6.022	Details
Mathematische Software		Details
MK/RC Algebraische Kombinatorik	6.138	Details
Oberseminar Algebra/diskr. Mathematik und angew. Algebra/Datenanalyse	6.164	Details

Sommersemester 2024

Name	VNR	Link
Kombinatorische Geometrie	6.106	Details
Mathematische Software		Details
MK/RC Diskrete Geometrie	6.316	Details
Oberseminar Algebra/diskr. Mathematik und angew. Algebra/Datenanalyse	6.164	Details
Seminar Algebraische Graphentheorie	6.102	Details

Wintersemester 2023/24

Name	VNR	Link
Codierungstheorie und Kryptographie	6.026	Details
Elemente der diskreten Mathematik (BEU)	6.034	Details
Kolloquium der Mathematik	6.150	Details
Mathematische Software		Details
Oberseminar Algebra/diskr. Mathematik und angew. Algebra/Datenanalyse	6.164	Details

Sommersemester 2023

Name	VNR	Link
Diskrete Mathematik	6.028	Details
Lineare Algebra und analytische Geometrie II	6.012	Details
Mathematische Software		Details
Oberseminar Algebra/diskr. Mathematik und angew. Algebra/Datenanalyse	6.164	Details

Wintersemester 2022/23

Name	VNR	Link
Kolloquium der Mathematik	6.150	Details
Lineare Algebra und analytische Geometrie I	6.012	Details
Mathematische Software		Details
MK/RC Probabilistische Kombinatorik	6.136	Details
Oberseminar Algebra/diskr. Mathematik und angew. Algebra/Datenanalyse	6.164	Details
Studienvorkurs Mathematik	6.008	Details

Sommersemester 2022

Name	VNR	Link
Diskrete Mathematik	6.028	Details
Lineare Algebra und analytische Geometrie II	6.012	Details
Mathematische Software		Details
MK/RC Diskrete Geometrie	6.142	Details
Oberseminar Algebra und Diskrete Mathematik	6.164	Details

Wintersemester 2021/22

Name	VNR	Link
Kolloquium der Mathematik	6.150	Details
Mathematische Software		Details
Oberseminar Algebra und Diskrete Mathematik	6.164	Details

Sommersemester 2021

Name	VNR	Link
Diskrete Mathematik	6.028	Details
Oberseminar Algebra und Diskrete Mathematik	6.164	Details
Osnabrücker Maryam Mirzakhani Lecture	6.158	Details
Seminar Elemente der Mathematik (BEU/Master GHR)	6.100	Details

Wintersemester 2020/21

Name	VNR	Link
Elemente der Diskreten Mathematik (BEU)	6.034	Details
Oberseminar Algebra und Diskrete Mathematik	6.164	Details
Seminar Topologische Kombinatorik und Geometrie	6.130	Details

Sommersemester 2020

Name	VNR	Link
Oberseminar Algebra und Diskrete Mathematik	6.164	Details

Wintersemester 2019/20

Name	VNR	Link
Codierung und Kryptographie	6.018	Details
Lineare Algebra und analytische Geometrie I	6.012	Details
Oberseminar Algebra	6.156	Details

Sommersemester 2019

Name	VNR	Link
Diskrete Mathematik	6.028	Details
MK/RC Probabilistische Kombinatorik	6.132	Details
Oberseminar Algebra	6.156	Details

Wintersemester 2018/19

Name	VNR	Link
Elemente der Diskreten Mathematik (BEU)	6.032	Details
MK/RC MK Tropische Kombinatorik	6.172	Details
Oberseminar Algebra	6.156	Details

Sommersemester 2018

Name	VNR	Link
MK/RC Kombinatorische Algebra	6.136	Details
Oberseminar Algebra	6.154	Details

Wintersemester 2017/18

Name	VNR	Link
Codierungstheorie und Kryptographie	6.022	Details
Doktorandenseminar Algebraische Statistik	6.164	Details
Oberseminar Algebra	6.156	Details
RC Diskrete Geometrie	6.130	Details

Sommersemester 2017

Name	VNR	Link
Doktorandenseminar Algebraische Statistik	6.164	Details
Mathematik für Anwender II	6.050	Details
Oberseminar Algebra	6.154	Details
Seminar Mathematik Lineare Algebra in Kombinatorik und Geometrie	6.106	Details