About Me

Substitute Professor (Vertretungsprofessor) at Universität Kassel

  1. gloho ( A T ) mathematik.uni-kassel.de
  2. g.loho ( A T ) lse.ac.uk


Georg Loho


Areas of interest

(Discrete) Optimization, Polyhedral Geometry, Algorithmic Structures, Computational Complexity, Tropical Geometry, Discrete Geometry, Matroids


  • Tropical Ehrhart Theory and Tropical Volume
    with Matthias Schymura (publication)(arxiv)(slides)
    Research in the Mathematical Sciences, 7(30) (2020)
  • Matching fields and lattice points of simplices
    with Ben Smith (publication)(arxiv)(slides)
    Advances in Mathematics, 370 (2020), 107232
  • Abstract tropical linear programming
    The Electronic Journal of Combinatorics, P2.51 (2020)
  • Signed tropical convexity
    with László A. Végh (publication)(arxiv)(slides)
    11th Innovations in Theoretical Computer Science Conference (ITCS 2020), LIPIcs, Volume 151 (2020), pp. 24:1-24:35
  • Monomial tropical cones for multicriteria optimization
    with Michael Joswig (publication)(arxiv)(slides)
    SIAM J. Discrete Math., 34(2) (2020), 1172-1191.
  • Linear Programs and Convex Hulls Over Fields of Puiseux Fractions
    with Michael Joswig, Benjamin Lorenz, Benjamin Schröter (publication)
    Mathematical Aspects of Computer and Information Sciences: 6th International Conference (MACIS 2015), Revised Selected Papers, LNCS Volume 9582 (2016), pp 429-445
  • Weighted digraphs and tropical cones
    with Michael Joswig (publication)
    Linear Algebra Appl. 501 (2016), 304-343.
  • MatchTheNet - An Educational Game on 3-Dimensional Polytopes
    with Michael Joswig, Benjamin Lorenz, Rico Raber (publication)(game homepage)
    33rd International Symposium on Computational Geometry (SoCG 2017), LIPIcs, Volume 77 (2017), pp 66:1--66:5


  • Patchworking Oriented Matroids
    with Marcel Celaya, Chi Ho Yuen (arxiv)
  • Oriented Matroids from Triangulations of Products of Simplices
    with Marcel Celaya, Chi Ho Yuen (arxiv)
  • Tropical Carathéodory with Matroids
    with Raman Sanyal (arxiv)
  • Face posets of tropical polyhedra and monomial ideals
    with Ben Smith (arxiv)


Doctoral Thesis “Combinatorics of Tropical Linear Programming”


  • Poster for 7ECM (July 18 – 22, 2016)
  • Poster for Einstein Workshop Discrete Geometry and Topology (March 13-16, 2018)

Current Teaching

Former Teaching

  • Galois Theory (WiSe 2018)
  • Anneaux et corps (Rings and fields, SoSe2018)
  • Computerorientierte Mathematik I & II (WiSe2013, WiSe2014, SoSe2015, WiSe2015, SoSe2016, SoSe2017, WiSe2017)
  • Topologie (WiSe2016)
  • Diskrete Geometrie I (SoSe2014)
  • Funktionentheorie I (SoSe2013, Universität Würzburg)


Some past events

  • DMV Jahrestagung 2020, September 14-17, 2020; with our minisymposium on Discrete Optimization!
  • The 21st Conference on Integer Programming and Combinatorial Optimization (IPCO21), June 8-10, 2020, London (via ZOOM)
  • 11th Innovations in Theoretical Computer Science (ITCS), January 12-14, 2020
  • ACM-SIAM Symposium on Discrete Algorithms (SODA20), January 5-8, 2020
  • IGAFIT Workshop for Algorithms Postdocs in Europe (AlgPiE by IGAFIT 2019), October 14 - 18, 2019
  • Discrete geometry with a view on symplectic and tropical geometry, September 23 - 27, 2019, (slides)
  • SIAM Conference on Applied Algebraic Geometry, July 9 - 13, 2019; Co-organization of session “Computational aspects of tropical geometry”

Further Interests

Software development

Educational Game

Math Olympiad
I am involved in the organisation of the mathematical olympiad in Bavaria. For more information see:

Back to top