Research Explorer

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Researcher

Koen Thas

Publications & Research Data

Awards & Distinctions

94 Results

2025

Kangaroos in spherical buildings

Yannick NeytHendrik Van MaldeghemKoen Thas

2024

Infinite cyclic projective skew translation quadrangles do not exist

A1 Journal Article in MATHEMATISCHE ANNALEN

2023

A question of Frohardt on -groups, skew translation quadrangles of even order and cyclic STGQs

A1 Journal Article in FORUM OF MATHEMATICS SIGMA

Epimorphisms of generalized polygons, B : The octagons

Joseph ThasKoen Thas

A2 Journal Article in INNOVATIONS IN INCIDENCE GEOMETRY - ALGEBRAIC, TOPOLOGICAL AND COMBINATORIAL

Anton BettenDimitri LeemansBernhard MühlherrJames ParkinsonKoen ThasHendrik Van Maldeghem

Editorial material

Quantum theory without the axiom of choice, and Lefschetz quantum physics

A2 Journal Article in PHYSICS

Towards the horizons of Tits’s vision : on bandschemes, crowds and 𝔽1-structures

Oliver LorscheidKoen Thas

A2 Journal Article in INNOVATIONS IN INCIDENCE GEOMETRY - ALGEBRAIC, TOPOLOGICAL AND COMBINATORIAL

2022

Epimorphisms of generalized polygons A : the planes, quadrangles and hexagons

Joseph ThasKoen Thas

A1 Journal Article in JOURNAL OF GEOMETRY AND PHYSICS

2021

Covers of generalized quadrangles : 2. Kantor-Knuth covers and embedded ovoids

Joseph ThasKoen Thas

A1 Journal Article in FINITE FIELDS AND THEIR APPLICATIONS

2020

General quantum theory : unification of classical and modal quantum theories

A1 Journal Article in JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL

2019

A translation generalized quadrangle in characteristic ≠0 is linear

A1 Journal Article in ADVANCES IN MATHEMATICS

Absolute quantum theory (after Chang, Lewis, Minic and Takeuchi), and a road to quantum deletion

A1 Journal Article in SYMMETRY - BASEL

Automorphisms of Deitmar constructible sets, I : functoriality and trees

Manuel Mérida AnguloKoen Thas

A1 Journal Article in JOURNAL OF GEOMETRY AND PHYSICS

Projective spaces over F1ℓ

A1 Journal Article in JOURNAL OF COMBINATORIAL DESIGNS

2018

Central aspects of skew translation quadrangles, 1

A1 Journal Article in JOURNAL OF ALGEBRAIC COMBINATORICS

Covers of generalized quadrangles

Joseph ThasKoen Thas

A1 Journal Article in GLASGOW MATHEMATICAL JOURNAL

Isospectral drums and simple groups

A1 Journal Article in INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS

On the mathematical foundations of mutually unbiased bases

A1 Journal Article in QUANTUM INFORMATION PROCESSING

2017

50 years of finite geometry

James HirschfeldKoen ThasHendrik Van Maldeghem

Editorial material

Counting points and acquiring flesh

A2 Journal Article in INNOVATIONS IN INCIDENCE GEOMETRY

Deitmar schemes, graphs and zeta functions

Manuel Mérida AnguloKoen Thas

A1 Journal Article in JOURNAL OF GEOMETRY AND PHYSICS

Exploring 𝔽₁-geometry : Deitmar schemes, loose graphs and motives

Manuel Mérida AnguloKoen Thas

The structure of Deitmar schemes, II : zeta functions and automorphism groups

Manuel Mérida AnguloKoen Thas

A2 Journal Article in COMPTES RENDUS MATHEMATIQUES DE L'ACADEMIE DES SCIENCES = MATHEMATICAL REPORTS OF THE ACADEMY OF SCIENCE

2016

A taste of Weil theory in characteristic one

Bookchapter in Absolute arithmetic and F1-geometry

Absolute arithmetic and F1-geometry

The combinatorial-motivic nature of F1-schemes

Bookchapter in Absolute arithmetic and F1-geometry

The Connes-Consani plane connection

A1 Journal Article in JOURNAL OF NUMBER THEORY

The Weyl functor : introduction to absolute arithmetic

Bookchapter in Absolute arithmetic and F1-geometry

Unextendible mutually unbiased bases (after Mandayam, Bandyopadhyay, Grassl and Wootters)

A1 Journal Article in ENTROPY

2015

Classification of skew translation generalized quadrangles, I

A1 Journal Article in DISCRETE MATHEMATICS AND THEORETICAL COMPUTER SCIENCE

2014

Construction and comparison of authentication codes

Jeroen SchillewaertKoen Thas

A1 Journal Article in SIAM JOURNAL ON DISCRETE MATHEMATICS

The structure of Deitmar schemes, I

A1 Journal Article in PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES

2013

Local half Moufang quadrangles

A1 Journal Article in DESIGNS CODES AND CRYPTOGRAPHY

2012

A course on elation quadrangles

Isomorphisms of groups related to flocks

A1 Journal Article in JOURNAL OF ALGEBRAIC COMBINATORICS

2011

Generalized quadrangles from a local point of view

A2 Journal Article in JOURNAL OF GEOMETRY

Order in building theory

The 2-transitive transplantable isospectral drums

Jeroen SchillewaertKoen Thas

A1 Journal Article in SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS

2010

A theorem of Cohen on parapolar spaces

Ernest E ShultKoen Thas

A1 Journal Article in COMBINATORICA

Bounds on partial ovoids and spreads in classical generalized quadrangles

Stefaan De WinterKoen Thas

A2 Journal Article in INNOVATIONS IN INCIDENCE GEOMETRY

Hearing shapes of drums : mathematical and physical aspects of isospectrality

Olivier GiraudKoen Thas

A1 Journal Article in REVIEWS OF MODERN PHYSICS

On the number of points of a hypersurface in finite projective space (after J.-P. Serre)

A1 Journal Article in ARS COMBINATORIA

2009

A study of buildings of low rank

Koen StruyveHendrik Van MaldeghemKoen Thas

Finite bn-pairs of rank 2, I

A2 Journal Article in INNOVATIONS IN INCIDENCE GEOMETRY

Singer quadrangles

Stefaan De WinterEE ShultKoen Thas

Subquadrangles of order s of generalized quadrangles of order (s,s^2)

Joseph ThasKoen Thas

A2 Journal Article in INNOVATIONS IN INCIDENCE GEOMETRY

The geometry of generalized Pauli operators of N-qudit Hilbert space, and an application to MUBs

A1 Journal Article in EPL

2008

A generalized quadrangle of order (s, t) with center of transitivity is an elation quadrangle if s <= t

A1 Journal Article in DESIGNS CODES AND CRYPTOGRAPHY

A Kantor family admitting a normal F-factor constitutes a p-group

A1 Journal Article in ADVANCES IN GEOMETRY

Elation generalized quadrangles with extra automorphisms and trivial spans

A1 Journal Article in EUROPEAN JOURNAL OF COMBINATORICS

Finite projective planes, Fermat curves, and Gaussian periods

Koen ThasD Zagier

A1 Journal Article in JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY

Generalized quadrangles admitting a sharply transitive Heisenberg group

Stefaan De WinterKoen Thas

A1 Journal Article in DESIGNS CODES AND CRYPTOGRAPHY

Geometric characterizations of finite Chevalley groups of type B-2

Koen ThasHendrik Van Maldeghem

A1 Journal Article in TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY

Note on the existence of translation nets

A1 Journal Article in DESIGNS CODES AND CRYPTOGRAPHY

Solution of a question of Knarr

A1 Journal Article in PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY

2007

A question of Kantor on elations of dual translation generalized quadrangles

A1 Journal Article in ADVANCES IN GEOMETRY

A stabilizer lemma for translation generalized quadrangles

A1 Journal Article in EUROPEAN JOURNAL OF COMBINATORICS

Can one hear the shape of a Lie-type geometry?

A1 Journal Article in INVERSE PROBLEMS

Isospectral drums in R-2, involution graphs and Euclidean TI-domains

A1 Journal Article in JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL

On the p-modular cohornology algebra of a finite p-group and a theorem of Serre

A1 Journal Article in COMPTES RENDUS MATHEMATIQUE

The automorphism group of Payne derived generalized quadrangles

Stefaan De WinterKoen Thas

A1 Journal Article in ADVANCES IN MATHEMATICS

2006

.PSLn(q) as operator group of isospectral drums

A1 Journal Article in JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL

Determination of generalized quadrangles with distinct elation points

A1 Journal Article in JOURNAL OF ALGEBRAIC COMBINATORICS

Elation generalized quadrangles of order (q, q(2)) q even, with a classical subquadrangle of order q

A1 Journal Article in ADVANCES IN GEOMETRY

Finite translation generalized quadrangles: old results, new results, open problems

Joseph ThasKoen Thas

Foundations of elation generalized quadrangles

Koen ThasSE PAYNE

A1 Journal Article in EUROPEAN JOURNAL OF COMBINATORICS

Generalized quadrangles of order (p, t) admitting a 2-transitive regulus, p a prime

A1 Journal Article in JOURNAL OF COMBINATORIAL THEORY SERIES A

Generalized quadrangles with an abelian Singer group

Stefaan De WinterKoen Thas

A1 Journal Article in DESIGNS CODES AND CRYPTOGRAPHY

Kac's question, planar isospectral pairs and involutions in projective space

A1 Journal Article in JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL

Kac's question, planar isospectral pairs and involutions in projective space, II : classification of generalized projective isospectral data

A1 Journal Article in JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL

Subquadrangles of order s of generalized quadrangles of order (s,s^2), part III

Joseph ThasKoen Thas

A1 Journal Article in JOURNAL OF COMBINATORIAL THEORY SERIES A

Translation generalized quadrangles

Joseph ThasKoen ThasHendrik Van Maldeghem

Translation generalized quadrangles in even characteristic

Joseph ThasKoen Thas

A1 Journal Article in COMBINATORICA

2005

Generalized quadrangles admitting PSL (2,q) x PSL (2,q)

A1 Journal Article in JOURNAL OF COMBINATORIAL DESIGNS

Generalized quadrangles with an ovoid that is translation with respect to opposite flags

A OfferKoen ThasHendrik Van Maldeghem

A1 Journal Article in ARCHIV DER MATHEMATIK

Moufang-like conditions for generalized quadrangles and classification of all finite quasi-transitive generalized quadrangles

Koen ThasHendrik Van Maldeghem

A1 Journal Article in DISCRETE MATHEMATICS

Some basic questions and conjectures on elation generalized quadrangles, and their solutions

A1 Journal Article in BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN

2004

On a conjecture of W. M. Kantor, and strongly irreducible groups acting on generalized quadrangles

A1 Journal Article in FORUM MATHEMATICUM

Symmetry in Finite Generalized Quadrangles

2003

A characterization of the classical generalized quadrangle 2(5, q) and the nonexistence of certain near polygons

A1 Journal Article in JOURNAL OF COMBINATORIAL THEORY SERIES A

Finite flag-transitive projective planes: a survey and some remarks

A1 Journal Article in DISCRETE MATHEMATICS

Notes on elation generalized quadrangles

SE PayneKoen Thas

A1 Journal Article in EUROPEAN JOURNAL OF COMBINATORICS

On semi quadrangles

A1 Journal Article in ARS COMBINATORIA

Symmetry in generalized quadrangles

A1 Journal Article in DESIGNS CODES AND CRYPTOGRAPHY

Translation generalized quadrangles for which the translation dual arises from a flock

A1 Journal Article in GLASGOW MATHEMATICAL JOURNAL

2002

A theorem concerning nets arising from generalized quadrangles with a regular point.

A1 Journal Article in DESIGNS CODES AND CRYPTOGRAPHY

Automorphisms and combinatorics of finite generalized quadrangles

Classification of span-symmetric generalized quadrangles of order s

A1 Journal Article in ADVANCES IN GEOMETRY

Generalized quadrangles with a spread of symmetry and near polygons.

Bart De BruynKoen Thas

A1 Journal Article in ILLINOIS JOURNAL OF MATHEMATICS

Nonexistence of complete (st-t/s)-arcs in generalized quadrangles of order (s, t), I

A1 Journal Article in JOURNAL OF COMBINATORIAL THEORY SERIES A

On generalized quadrangles with some concurrent axes of symmetry

A1 Journal Article in BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN

The classification of generalized quadrangls with two translation points

A2 Journal Article in BEITRAGE ZUR ALGEBRA UND GEOMETRIE

2001

Automorphisms and characterizations of finite generalized quadrangles

On symmetries and translation generalized quadrangles