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Algebraic and topological cycles in tropical and complex geometry

About the project

This project focuses on the connections between geometry and combinatorics, provided specifically by tropical geometry. Tropical geometry is a relatively new field with powerful applications to other areas of mathematics and beyond. Perhaps most well known are the applications to algebraic, symplectic, enumerative, and discrete geometries. Additionally there are connections to number theory, statistical models, optimisation, thermodynamics, computer science, mathematical physics and mathematical biology.


  • topology of real algebraic varieties
  • algebraic geometry of discrete structures (matroids and combinatorial designs)


Mohammadi, Fatemeh and Shaw, Kristin, Toric degenerations of Grassmannians from matching fields, submitted, 2018.


Renaudineau, Arthur and Shaw, Kristin, Bounding Betti numbers of real hypersurfaces near the tropical limit, 2018.


There will be one phd position available in the group starting fall of 2019. Stayed tuned for more information!

Upcoming Events 

Einstein Workshop on Geometric and Topological Combinatorics

Freie Universität Berlin, Oct 29-31, 2018.

Tropical Geometry: New directions

Mathematisches Forschungsinstitut Oberwolfach, 28 April - 4 May 2019

Non-Archimedean Geometry and Applications

Mathematisches Forschungsinstitut Oberwolfach, 24 Feb- 2 Mar 2019

ASGARD Math 2019

University of Oslo, Norway May 14-16, 2019

Tropical Methods in Real Algebraic Geometry

Casa Matemática Oaxaca (CMO), Mexico, Sep 08 - Sep 13, 2019



Past Events

Tropical Geometry and Moduli Spaces

ICM Satellite conference, Cabo Frio, Brazil, August 13-17, 2018

Tropical Geometry in Europe

Institut de Mathématiques de Toulouse, July 4-5, 2018.

Combinatorics and Hodge Theory

Nordfjordeid, Norway, June 18-22, 2018

ASGARD Math 2018: Real algebraic geometry and tropical mathematics

University of Oslo, Norway May 2 - 4, 2018

Tropical Geometry, Amoebas, and Polytopes

Institut Mittag-Leffler, Sweden Jan 15th - April 30, 2018



This project is funded by Bergen Research Foundation.


Tags: Mathematics, Algebra and algebraic geometry
Published Mar. 2, 2018 1:17 PM - Last modified Nov. 5, 2018 9:02 AM
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