Vergleiche zwischen unendlichen Kardinalzahlen in
einer Mengenlehre ohne Auswahlaxiom,
Diplomarbeit, 1990,
University of Zürich (Set Theory without the Axiom of Choice)
Ramsey properties of reals and partitions,
Ph.D. ETH No. 10828 (1994),
ETH Zürich (Generalized Ramsey Theory)
Combinatorial properties of sets of partitions
(pdf) (deutsches Autor-Referat),
Habilitation (2003) at the
University of Bern (Combinatorial Set Theory)
Combinatorial Set Theory: with a gentle introduction to forcing
(pdf)
Springer-Verlag, London (2012)
[book details]
Mit harmonischen Verhältnissen zu Kegelschnitten,
Perlen der klassischen Geometrie
(ausgewählte Kapitel)
(with Norbert
Hungerbühler and Juan Läuchli)
Springer-Verlag, Heidelberg (2016)
[book details]
Combinatorial Set Theory: with a gentle introduction to forcing
(revised and extended second edition)
Springer-Verlag, London (2017)
[book details]
[errata]
Gödel's Theorems and Zermelo's Axioms: a firm
foundation of mathematics (with Regula Krapf)
Birkhäuser-Verlag, Basel (2020)
[book details]
[errata]
Mit harmonischen Verhältnissen zu Kegelschnitten,
Perlen der klassischen Geometrie
(erweiterte zweite Auflage)
(with Norbert
Hungerbühler and Juan Läuchli)
Springer-Verlag, Heidelberg (2021)
[book details]
Eine Entdeckungsreise in die Welt des Unendlichen,
die Grundlagen der Mathematik von der Antike bis in die Neuzeit (with Regula Krapf)
Springer Spektrum, Berlin (2023)
[book details]
Consequences of arithmetic for set theory
(pdf)
[abstract] (with
Saharon Shelah),
The Journal of Symbolic Logic,
59 (1994) 30-40
Mathias absoluteness and the Ramsey property
(pdf)
[abstract] (with Haim Judah),
The Journal of Symbolic Logic,
61 (1996) 177-193
On shattering, splitting and reaping partitions
(pdf)
[abstract],
Mathematical Logic Quarterly,
44 (1998) 123-134
Symmetries between two Ramsey properties
(pdf)
[abstract],
Archive for Mathematical Logic,
37(4) (1998) 241-260
The cardinality of Hamel bases of Banach spaces
(pdf)
[abstract]
(with Norbert
Hungerbühler),
East-West Journal of Mathematics,
2(2) (2000)
153-159
Techniques for approaching the dual Ramsey property
in the projective hierarchy
(pdf)
[abstract]
(with
Benedikt Löwe),
Pacific Journal of Mathematics,
200(1) (2001) 119-145
Ramseyan ultrafilters
(pdf)
[abstract],
Fundamenta Mathematicae,
169(3) (2001) 233-248
Ultrafilter spaces on the semilattice of partitions
(pdf)
[abstract]
(with
Benedikt Löwe),
Topology and its Applications,
115(3) (2001) 317-332
On the complexity of Hamel bases of infinite dimensional Banach
spaces
(pdf)
[abstract],
Colloquium Mathematicum,
89 (2001) 133-134
Relations between some cardinals in the absence of the
axiom of choice
(pdf)
[abstract]
(with
Saharon Shelah),
The Bulletin of Symbolic Logic,
7(2) (2001) 237-261
On continuously Urysohn and strongly separating spaces
(pdf)
[abstract]
(with Norbert
Hungerbühler),
Topology and its Applications,
118(3) (2002) 329-335
A result in dual Ramsey theory
(pdf)
[abstract]
(with
Pierre Matet),
Journal of Combinatorial Theory (A),
100 (2002) 394-398
Making doughnuts of Cohen reals
(pdf)
[abstract],
Mathematical Logic Quarterly,
49(2) (2003) 173-178
A generalization of the dual Ellentuck theorem
(pdf)
[abstract]
(with
Pierre Matet),
Archive for Mathematical Logic,
42(2) (2003) 103-128
On the cardinality of smallest spanning sets of rings
(pdf)
[abstract] (with Nadia Boudi),
Quaestiones Mathematicae,
26(3) (2003)
321-325
On a theorem of Banach and Kuratowski and K-Lusin sets
(pdf)
[abstract]
(with Tomek
Bartoszynski),
Rocky Mountain Journal of Mathematics,
33(4) (2003) 1223-1231
A set-theoretic approach to complete minimal systems in Banach spaces
of bounded functions
(pdf)
[abstract],
Matematychni Studii,
20(2) (2003)
162-166
On asymptotic models in Banach spaces
(pdf)
[abstract]
(with Edward Odell),
Israel Journal of Mathematics,
139 (2004) 253-291
Silver measurability and its relation to other regularity properties
(pdf)
[abstract]
(with Jörg Brendle and
Benedikt Löwe),
Mathematical Proceedings of the Cambridge Philosophical Society,
138(1) (2005) 135-149
A number-theoretic conjecture and its implication for set theory
(pdf)
[abstract],
Acta Mathematica Universitatis Comenianae,
74(2)
(2005) 243-254
On bases in Banach spaces
(pdf)
[abstract]
(with Tomek
Bartoszynski,
Mirna Dzamonja,
Eva Murtinova, Anatolij Plichko, all-5-pic),
Studia Mathematica,
170(2) (2005) 147-171
Families of almost disjoint Hamel bases
(pdf)
[abstract],
Extracta
Mathematicae,
20(2) (2005) 199-202
A playful approach to Silver and Mathias forcings
(pdf)
[abstract],
Foundations
of the Formal Sciences V: Infinite Games
(Papers of a Conference held in Bonn, November 26-29, 2004)
College
Publications: Studies in Logic (vol. 11), London (2007), 123-142
Non-separable Banach spaces with non-meager Hamel basis
(pdf)
[abstract] (with
Taras
Banakh and
Mirna Dzamonja),
Studia Mathematica,
189(1) (2008) 27-34
Comparing cardinalities in Zermelo's system
(pdf)
[abstract],
Cahiers du Centre de Logique,
17 (2010) 9-19
Über ein Theorem von Hans Läuchli
(pdf)
[abstract],
Elemente der Mathematik,
72(4) (2017)
164-170
On Ramsey choice and partial choice for infinite families of n-element sets
(pdf)
[abstract]
(with Eleftherios Tachtsis),
Archive for Mathematical Logic,
59(5) (2020)
583-606
A weird relation between two cardinals
(pdf)
[abstract],
Archive for Mathematical Logic,
57 (2018) 593-599
Magic sets
(pdf)
[abstract]
(with Marc Lischka and Salome Schumacher),
Real Analysis Exchange,
43 (2018) 187-204
Forms of choice in ring theory
(pdf)
(with Norbert
Hungerbühler, Nir Lazarovich, Waltraud Lederle, Marc Lischka, Salome Schumacher),
Results in Mathematics,
74 (2019) no.1
Article:14
Halfway new cardinal characteristics
(pdf)
(with Jörg Brendle,
Lukas Daniel Klausner, Marc Lischka, and
Saharon Shelah),
Annals of Pure and Applied Logic, 174 (2023) 103303
(doi)
A new weak choice principle
(pdf)
(with Riccardo Plati and Salome Schumacher),
The Journal of Symbolic Logic (to appear)
On Carruth's axioms for natural sums and products
(pdf)
(with Pedro Pablo Pérez Velasco),
European Journal of Mathematics,
9(4) (2023)
Article:97
Four cardinals and their relations in ZF
(pdf)
(with Riccardo Plati, Salome Schumacher, and
Saharon Shelah),
Annals of Pure and Applied Logic,
174(2) (2023)
(doi)
Some implications of Ramsey Choice for families of n-element sets
(pdf)(with Salome Schumacher),
Archive for Mathematical Logic,
62(5-6) (2023) 703-733
(doi)
Implications of Ramsey Choice Principles in ZF
(pdf)
(with Riccardo Plati and
Saharon Shelah),
Mathematical Logic Quarterly, 70(2) (2024) 255-261
(doi)
The general counterfeit coin problem
(pdf)
[abstract]
(with Norbert
Hungerbühler),
Discrete Mathematics, 147 (1995) 139-150
The Josephus problem
(pdf)
[abstract] (with
Norbert
Hungerbühler),
Journal de Théorie des Nombres de Bordeaux, 9 (1997) 303-318
Optimal bounds for the length of rational Collatz cycles
(pdf)
[abstract]
(with Norbert
Hungerbühler),
Acta Arithmetica,
LXXVIII (1997) 227-239
Packings in complete graphs
(pdf)
[abstract] (with
Norbert
Hungerbühler),
Ars Combinatoria, 48 (1998) 97-110
Powers and polynomials in Zm
(pdf)
[abstract]
(with Norbert
Hungerbühler and Hans Läuchli),
Elemente der Mathematik,
54(3) (1999) 118-129
Über das Mischen von Spielkarten, ein mathematisches Menü
(pdf)
[abstract] (with Stephanie Gloor),
Elemente der Mathematik,
54(4) (1999) 156-162
On generalized Carmichael numbers
(pdf)
[abstract]
(with Norbert
Hungerbühler),
Hardy-Ramanujan Journal,
22 (1999)
8-22
Number theoretic aspects of a combinatorial function
(pdf)
[abstract]
(with Norbert
Hungerbühler),
Notes on Number Theory and Discrete Mathematics,
5 (1999) 138-150
Generation of isospectral graphs
(pdf)
[abstract]
(with Norbert
Hungerbühler),
Journal of Graph Theory,
31 (1999) 255-265
Reconstruction of weighted graphs by their spectrum
(pdf)
[abstract]
(with Norbert
Hungerbühler),
European Journal of Combinatorics,
21 (2000) 641-650
On periodic billiard trajectories in obtuse triangles
(pdf)
[abstract]
(with Norbert
Hungerbühler),
SIAM Review,
42(4) (2000) 657-670
Dual form of combinatorial problems and Laplace techniques
(pdf)
[abstract]
(with Norbert
Hungerbühler),
The Fibonacci Quarterly,
38 (2000) 395-407
An application of van der Waerden's Theorem in additive number theory
(pdf)
[abstract]
(with Norbert
Hungerbühler),
INTEGERS: The Electronic Journal of Combinatorial Number Theory,
0 (2000) #A07,
5 pages
Can Kirkman's schoolgirls walk abreast by forming arithmetic
progressions?
(pdf)
[abstract],
The American Mathematical Monthly,
110(3) (2003) 228-231
Fans and bundles in the graph of pairwise sums and products
(pdf)
[abstract],
The Electronic Journal of Combinatorics,
11(1) (2004) #R6, 11 pages
Avoiding arithmetic progressions in cyclic groups
(pdf)
[abstract] (with Stephanie Halbeisen),
Elemente der Mathematik,
60(3) (2005) 114-123
Minimal generating sets of groups, rings, and fields
(pdf)
[abstract] (with Martin Hamilton
and Pavel Ruzicka),
Quaestiones Mathematicae,
30(3) (2007)
355-363
A simple proof of Poncelet's theorem
(pdf)
[abstract]
(with Norbert
Hungerbühler),
The American Mathematical Monthly,
122(6) (2015) 537-551
Conjugate conics and closed chains of Poncelet polygons
(pdf)
[abstract]
(with Norbert
Hungerbühler),
Mitteilungen der Mathematischen Gesellschaft in Hamburg,
36 (2016) 5-28
Closed chains of conics carrying Poncelet triangles
(pdf)
[abstract]
(with Norbert Hungerbühler),
Beiträge zur Algebra und
Geometrie / Contributions to Algebra and Geometry,
58(2) (2017)
277-302
The exponential pencil of conics
(pdf)
(with Norbert Hungerbühler),
Beiträge zur Algebra und
Geometrie / Contributions to Algebra and Geometry,
59(3) (2018)
549-571
A theorem of Fermat on congruent number curves
(pdf)
(with Norbert
Hungerbühler),
Hardy-Ramanujan Journal,
41 (2018)
15-21
A geometric representation of integral solutions of
x2+xy+y2=m2
(pdf)
(with Norbert
Hungerbühler),
Quaestiones Mathematicae,
43(3) (2020)
425-439
(doi)
An elementary approach to Hessian curves with torsion group
ℤ/6ℤ
(pdf)
(with Norbert
Hungerbühler),
International Electronic Journal of Pure and Applied Mathematics,
13(1) (2019) 1-30
Congruent number elliptic curves related to integral
solutions of m2=n2+nl+l2
(pdf)
(with Norbert
Hungerbühler),
Journal of Integer Sequences,
22(3)
(2019) Article 19.3.1
Heron triangles and their elliptic curves
(pdf)
(with Norbert
Hungerbühler),
Journal of Number Theory,
213 (2020) 232-253
Sets and multisets of range uniqueness for polynomials
(pdf)
(with Norbert
Hungerbühler and Salome Schumacher),
Linear Algebra and its Applications,
589 (2020) 39-61
Generalized pencils of conics derived from cubics
(pdf)
(with Norbert Hungerbühler),
Beiträge zur Algebra und
Geometrie / Contributions to Algebra and Geometry,
61(4) (2020)
681-693
Magic sets for polynomials of degree n
(pdf)
(with Norbert
Hungerbühler and Salome Schumacher),
Linear Algebra and its Applications,
609 (2021) 413-441
On primitive solutions of the diophantine equation
x2+y2=M
(pdf)
(with Chris Busenhart,
Norbert Hungerbühler,
and Oliver Riesen),
Open Mathematics,
19(1) (2021) 863-868
Sets of range uniqueness for multivariate polynomials and linear
functions with rank k
(pdf)
(with Norbert
Hungerbühler, Salome Schumacher, and Guo Xian Yau),
Linear and Multilinear Algebra,
70(20) (2022) 5642-5660
(doi)
A family of congruent number elliptic curves of rank three
(pdf)
(with Norbert
Hungerbühler and Arman Shamsi Zargar),
Quaestiones Mathematicae,
46(6) (2023) 1131-1137
(doi)
Pairing pythagorean pairs
(pdf)
(with Norbert
Hungerbühler),
Journal of Number Theory,
233 (2022) 467-480
(doi)
Reversion porisms in conics
(pdf)
(with Norbert
Hungerbühler and Marco Schiltknecht),
International Electronic Journal of Geometry,
14(2) (2021) 371-382
(doi)
A geometric approach to elliptic curves with torsion groups
ℤ/10ℤ,
ℤ/12ℤ,
ℤ/14ℤ, and
ℤ/16ℤ
(pdf)
(with Norbert
Hungerbühler, Arman Shamsi Zargar, and Maksym Voznyy),
Rad Hrvatske akademije znanosti i umjetnosti. Matematičke znanosti
27 (2023) 87-109
Constructing cubic curves with involutions
(pdf)
(with Norbert
Hungerbühler),
Beiträge zur Algebra und
Geometrie / Contributions to Algebra and Geometry,
63 (2022) 921-940
(doi)
Configurations on elliptic curves
(pdf)
(with Andrin Halbeisen and Norbert
Hungerbühler),
Innovations in Incidence Geometry — Algebraic, Topological and Combinatorial,
19(3) (2022)
111-135
Quadrilaterals as geometric loci
(pdf)
(with Norbert
Hungerbühler and Juan Läuchli),
International Electronic Journal of Geometry
15(2) (2022) 321-333
(doi)
The hidden twin of the Five Circles Theorem
(pdf)
(with Norbert
Hungerbühler and Vanessa Loureiro),
The American Mathematical Monthly,
130(10) (2023) 879-891
A worked out Galois group for the classroom
(pdf)
(with Norbert
Hungerbühler),
The American Mathematical Monthly,
131(6) (2024) 501-510
(doi)
Geometric sums as sums of two squares
(pdf)
(with Norbert
Hungerbühler and
Franz Lemmermeyer),
15 pages, submitted
More configurations on elliptic curves
(pdf)
(with Marco Bramato and
Norbert Hungerbühler),
Innovations in Incidence Geometry — Algebraic, Topological and Combinatorial,
21(1) (2024) 45-56
Geometric properties and iterates of Hesse derivatives of cubic curves
(pdf)
(with Sayan Dutta and
Norbert Hungerbühler),
Rocky Mountain Journal of Mathematics (to appear)
21(1) (2024) 45-56
Three conics determine a cubic
(pdf)
(with
Norbert Hungerbühler),
La Matematica,
3(2) (2024) 561-572
The Pentagon Theorem in Miquelian Möbius planes
(pdf)
(with Norbert
Hungerbühler and Vanessa Loureiro),
International Electronic Journal of Geometry,
16(2) (2023) 689-696
(doi)
Building loops with classical Lego train tracks
(pdf)
(with Norbert
Hungerbühler),
Mathematics Magazine (to appear)
Twins of conic hexagons
(pdf)
(with Norbert
Hungerbühler),
Journal of Geometry,
115 (2024) Article:36
(doi)
Solving the quartic by conics
(pdf)
(with Norbert
Hungerbühler),
7 pages, submitted
Pairing powers of Pythagorean pairs
(pdf)
(with Norbert
Hungerbühler and Arman Shamsi Zargar),
10 pages, submitted
A framework for metamathematics
(pdf),
in
Axiomatic Thinking II (Springer Cham, 2022), pages 3-8.
The American Mathematical Monthly:
Solution to
Problem 12208
The American Mathematical Monthly:
Solution to
Problem 12224
The American Mathematical Monthly:
Solution to
Problem 12237
The American Mathematical Monthly:
Solution to
Problem 12246
The American Mathematical Monthly:
Solution to
Problem 12256