News

1 May 2013: my paper with Kuhnt and Zwiernik on groups acting on Gaussian graphical models has just been accepted for Annals of Statistics.

Spring 2013: Robert Krone from GeorgiaTech is visiting for three months. Together with Anton Leykin and Rob Eggermont we aim to prove finiteness-up-to-symmetry results for certain infinite-dimensional toric varieties.

15 October 2012: the website of the CIME/CIRM course Combinatorial Algebraic Geometry, taking place from 10-15 June 2013 in Levico Terme, is up. Check it out!

1 September 2012: Emil Horobeţ from Babes-Bolyai university joins the group on the project Tensors of Bounded Rank.

23 January 2012: Tensors of Bounded Rank, an NWO free competition Ph.D. project proposal together with Monique Laurent and Siep Weiland has been awarded funding!

23 January 2012: Piotr Zwiernik is starting a Post-doc in the Vidi project.

1 September 2011: Rob Eggermont started his Ph.D. in the Vidi project.

2 March 2011: a manuscript with Johan P. de Jong on his Bachelor's project has been accepted for publication in the EMS Newsletter. See this page.

6 October 2010: A Vidi grant! See this page or this page or this page.

Talks/slides

Maximum-likelihood duality for determinantal varieties, Basel, 19 April 2013.

Maximum-likelihood duality for determinantal varieties, TU Eindhoven, 27 March 2013.

Finite up to symmetry, IST Austria, 28 January 2013.

Finite up to symmetry, Math. Kolloquium Osnabrück, 23 January 2013.

Energy minimisation on a toric, DIAMANT symposium, Doorn, 29 November 2012.

Maximum likelihood duality for determinantal varieties, Intercity Seminar Number Theory, Eindhoven, 2 November 2012.

Infinite-dimensional systems of polynomial equations with symmetry, a three-hour minicourse at the workshop Tensors and their Geometry in High Dimensions, UC Berkeley, 26-29 September, 2012: slides for day 1, slides for day 2, slides for day 3.

Finite up to symmetry, mathematics colloquium Frankfurt,29 June 2012.

Bounded-rank tensors and group-based models, Algebraic Statistics in the Alleghenies at The Pennsylvania State University, 8-15 June 2012.

TBA, 3 May 2012, SFB Colloquium talk in Mainz.

Energy minimisation on a toric Checkerboard, 3 May 2012, Colloquium talk in Mainz.

Tensors of bounded rank, Dutch Mathematical Congress, 12 April 2012, Eindhoven

On min-plus products of distance matrices, Tropical geometry at ICMS, Edinburgh, 2-6 April 2012.

Tropical reparameterisations, Tropical geometry workshop at Castro Urdiales, December 2011.

Tropical reparameterisations, SIAM Conference Applications of Algebraic Geometry, NCSU, October 2011. Session on tropical geometry organised by Josephine Yu.

Pentads and Minors define the Gaussian two-factor model, SIAM Conference Applications of Algebraic Geometry, NCSU, October 2011. Session on algebraic statistics organised by Matthias Drton.

A tropical approach to secant dimensions, SIAM Conference Applications of Algebraic Geometry, NCSU, October 2011. Session on tensor rank organised by Lek-Heng Lim.

Bounded-rank tensors and group-based models, 27 September 2011, Saarbrücken conference on tropical geometry and computational biology.

Brill-Noether and gonality, 16 September 2011, Trento workshop on toric and tropical geometry.

On Castryck and Cools's gonality conjecture, 29 July 2011, 4th Ph.D. students conference on tropical geometry, Kaiserslautern.

An introduction to tropical geometry, 18-22 July 2011, ACAGM summer school, Leuven. Together with Filip Cools (but the notes contain only my half of the lectures).

Tropical Brill-Noether theory, 5 July 2011, Tropical Geometry and Integrably Systems, Glasgow.

Tropical Brill-Noether theory, 10 June 2011, Meeting of the Swedish Mathematical Society.

Introduction to tropical geometry, Colloquium talk at the Graduiertenkolleg Experimentelle und konstruktive algebra, 8 April, RWTH Aachen.

Tropical Brill-Noether theory, 17 March 2011, Warwick tropical day.

Finiteness results for infinite-dimensional varieties with many symmetries, 16 March 2011, Warwick algebraic geometry seminar.

Finiteness results for infinite-dimensional varieties with many symmetries, 20 January 2011, Mittag-Leffler semester on Algebraic Geometry with a View Towards Applications.

Finiteness results in statistics using algebra, 4 November 2010, stafcolloquium University of Leiden.

Finiteness results in statistics using algebra, 3 November 2010, stafcolloquium University of Amsterdam.

Finiteness results for infinite-dimensional varieties with many symmetries, 29 September 2010, IPAM workshop Convex Optimization and Algebraic Geometry, UCLA.

A tropical proof of the Brill-Noether Theorem, 28 May 2010, Arbeitsgemeinschaft Algebra und Topologie, Basel.

A tropical proof of the Brill-Noether Theorem, 19 March 2010, Intercity Number Theory Seminar, Groningen.

Constructing Lie algebras from extremal elements, 18 March 2010, Groups, Algebras and Algorithms, TU/e.

Algebro-geometric problems arising from statistics, 16 March 2010, colloquium talk, Groningen.

Trek separation for Gaussian graphical models, 3 March 2010, informal meeting Eindhoven statisticians and probabilists, TU/e.

Small maximal spaces of non-invertible symmetries, 1 February 2010, working group algebra and combinatorics, CWI.

Tropical reparameterisations, 18 September 2009, Tropical Geometry Seminar, MSRI.

Finiteness of the k-factor model, 11 September 2009, Geometry Seminar, Texas A & M.

On a theorem by Yu and Yuster, 11 September 2009, Texas A & M.

Tropical reparameterisations, 18 July 2009, Saturday in discrete mathematics, Erlangen.

Noetherian modulo a group action?, 15 June 2009, opening lecture at MEGA 2009, Barcelona.

Finiteness of the k-factor model, 14 April 2009, Dutch Mathematical Congress, minisymposium on Algebra.

New results on tensor ranks, 27 March 2009, CWI, working group PNA 1.

Finiteness of the k-factor model, 6 March 2009, CWI, working group PNA 1.

Set-theoretic finiteness for the k-factor model, 20 January 2009, Colloquium, Bremen.

Finite generation of symmetric ideals, 20 January, Precolloquium, Bremen.

Around Minkowski's 3^d-1 theorem, 14 January 2009, Seminar Combinatorial Theory, Eindhoven.

On the ideals of phylogenetic tree models, 29 November 2008, Representation theory days, ETH Zürich.

Set-theoretic finiteness for the k-factor model, 25 November 2008, AG Algebra, Basel.

Tropical reparameterisations, 12 November 2008, Bernd Sturmfels' Clifford Lectures, Tulane University, New Orleans.

Set-theoretic finiteness for the k-factor model, 15 October 2008, Seminar Combinatorial Theory, Eindhoven.

Tropical reparameterisations, 3 October 2008, INdAM workshop on Geometry of Projective varieties, Rome.

Set-theoretic finiteness for the k-factor model, 23 September 2008, Ann Arbor.

Tropical Algebraic Groups, 9 July 2008, Göttingen.

Finite generation of symmetric ideals, 4 June 2008, Eindhoven.

Phylogenetic tree models and classical invariant theory, 14 March 2008, Van der Kallen Celebration, Utrecht.

On the ideals of phylogenetic tree models, 6 February, Eindhoven.

The tropical geometry of algebraic groups, minimal orbits, and secant varieties, December 2007, Workshop on Tropical Geometry, Oberwolfach.

Tropical geometry I and II, October and November 2007, two introductory lectures, Eindhoven.

Tropical geometry, secant varieties, and multivariate interpolation, 17 October 2007, ESF exploratory workshop on polynomial interpolation, secant varieties, and applications, 16-19 October, Sestri Levante.

Tropical geometry: foundations, applications, and phenomena, July 2007, minicourse in Glanon.

A tropical approach to secant dimensions, 24 April 2007, Genoa.

Tropical geometry: foundations, applications, and phenomena, 20 April 2007, MariusFest, Groningen.

A tropical approach to secant dimensions, 30 March 2007, Tropical mini-meeting, Madrid.

A tropical approach to secant varieties, 23 January 2007, Seminar Sophus Lie, Darmstadt.

A scenic tour in tropical geometry, 9 January 2007, MAP 2007, Leiden.

A tropical approach to secant varieties, 6 December 2006, Géométrie et Représentations, Luminy.

A DIAMANT challenge, 30 November 2006, DIAMANT/EIDMA Symposium, Vught.

Classical theory of Lie algebras, 27 October 2006, DIAMANT Intercity Seminar on Lie algebras, Eindhoven.

The inverse problem of tensorial invariant theory, 13 September 2006, EIDMA Seminar Combinatorial Theory, Eindhoven.

On the Casas-Alvero conjecture, 14 June 2006, EIDMA Seminar Combinatorial Theory, Eindhoven.

A tropical approach to secant varieties, 12 May 2006, Leicester.

A tropical approach to secant varieties, 15 February 2006, EIDMA Seminar Combinatorial Theory, Eindhoven.

Polarisation in Invariant Theory, 23 November 2005, EIDMA Seminar Combinatorial Theory, Eindhoven.

Small maximal spaces of non-invertible matrices, 26 July 2005, Workshop on Lie Algebras, their Classification and Applications University of Trento, 25 - 27 July 2005.

Counting components of the null-cone on tuples, 31 May 2005, MEGA 2005, Porto Conte, Alghero, Sardinia (Italy) May 27th - June 1st 2005.

On a theorem of Gerstenhaber, 4 May 2005, EIDMA Combinatorial Theory Seminar, Eindhoven.

Counting components of the null-cone on tuples, 4 February 2005, AG Algebra, Basel.