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Amenable C-sequence Diamond Closed coloring Filter reflection Chang's conjecture Ascent Path Commutative cancellative semigroups Uniformly homogeneous Erdos Cardinal free Boolean algebra Open Access Reduced Power 54G20 Large Cardinals full tree O-space stick weak square Prikry-type forcing Subnormal ideal Knaster Mandelbrot set Subadditive Singular cardinals combinatorics PFA Whitehead Problem Club Guessing Rado's conjecture polarized partition relation Nonspecial tree Greatly Mahlo Diamond for trees Reflecting stationary set super-Souslin tree Sakurai's Bell inequality Luzin set free Souslin tree transformations tensor product graph stationary reflection Analytic sets specializable Souslin tree weak diamond reflection principles Sierpinski's onto mapping principle HOD Ineffable cardinal Partition Relations Universal Sequences Cohen real Successor of Singular Cardinal Poset sap L-space Local Club Condensation. Selective Ultrafilter coloring number Aronszajn tree ZFC construction Iterated forcing Cardinal Invariants P-Ideal Dichotomy Non-saturation Rock n' Roll positive partition relation Hindman's Theorem Well-behaved magma Distributive tree Coherent tree Parameterized proxy principle higher Baire space Hereditarily Lindelöf space countably metacompact Singular Density Almost countably chromatic middle diamond stationary hitting Chromatic number Generalized Clubs regressive Souslin tree square Uniformly coherent Almost-disjoint family Antichain Singular cofinality PFA(S)[S] Subtle cardinal Erdos-Hajnal graphs very good scale OCA Slim tree Ostaszewski square Absoluteness weak Kurepa tree Square-Brackets Partition Relations Uniformization xbox Generalized descriptive set theory indecomposable filter Prevalent singular cardinals Fast club Forcing Microscopic Approach club_AD Small forcing Constructible Universe Knaster and friends Jonsson cardinal diamond star Cardinal function Axiom R incompactness Strongly compact cardinal Souslin Tree Strong coloring SNR Foundations square principles nonmeager set Martin's Axiom Intersection model Weakly compact cardinal Lipschitz reduction Countryman line approachability ideal Successor of Regular Cardinal Dushnik-Miller strongly bounded groups GMA Dowker space unbounded function Rainbow sets Diamond-sharp Almost Souslin Subtle tree property Hedetniemi's conjecture Kurepa Hypothesis Minimal Walks S-Space Respecting tree ccc b-scale Forcing Axioms Postprocessing function Sigma-Prikry Strongly Luzin set Ramsey theory over partitions Was Ulam right? projective Boolean algebra AIM forcing Shelah's Strong Hypothesis C-sequence Fat stationary set Fodor-type reflection Precaliber Vanishing levels Ulam matrix Commutative projection system
Category Archives: Invited Talks
MFO workshop in Set Theory, January 2025
I gave an invited talk at the Set Theory meeting in Obwerwolfach, January 2025. Talk Title: Non-structure theorems for higher Aronszajn lines. Abstract: An
Posted in Invited Talks
Tagged Countryman line
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120 Years of Choice, July 2024
I gave an invited talk at the 120 Years of Choice conference, July 2024. Talk Title: Mathematician’s best friend Abstract: Jensen’s diamond is a very useful postulate. It is well-known that it implies the continuum hypothesis, that it is equivalent … Continue reading
Perspectives on Set Theory, November 2023
I gave an invited talk at the Perspectives on Set Theory conference, November 2023. Talk Title: May the successor of a singular cardinal be Jónsson? Abstract: We’ll survey what’s known about the question in the title and collect ten open … Continue reading
Posted in Invited Talks, Open Problems
Tagged Jonsson cardinal, Successor of Singular Cardinal
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Gdańsk Logic Conference, May 2023
I gave an invited talk at the first Gdańsk Logic Conference, May 2023. Talk Title: Was Ulam right? Abstract: An Ulam matrix is one of the earliest gems of infinite combinatorics. Around the same time of its discovery, another Polish … Continue reading
A series of lectures on Club_AD, February–March 2023
As part of the Thematic Program on Set Theoretic Methods in Algebra, Dynamics and Geometry (Fields Institute, January–June, 2023), Spencer Unger and I delivered a Graduate Course on Set Theory, Algebra and Analysis. My part of the course was a … Continue reading
Winter School in Abstract Analysis, January 2023
I gave a 3-lecture tutorial at the Winter School in Abstract Analysis in Steken, January 2023. Title: Club guessing Abstract. Club guessing principles were introduced by Shelah as a weakening of Jensen’s diamond. Most spectacularly, they were used to prove … Continue reading
MFO workshop in Set Theory, January 2022
I gave an invited talk at the Set Theory meeting in Obwerwolfach, January 2022. Talk Title: A dual of Juhasz’ question Abstract: Juhasz asked whether
Posted in Invited Talks
Tagged club_AD, Dowker space
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MFO workshop in Set Theory, April 2020
The Set Theory workshop in Obwerwolfach was supposed to take place April 2020, but was transformed into a webinar, due to COVID-19. Here you will find the title, abstract, slides and video of my webinar talk. Talk Title: Transformations of … Continue reading
Posted in Invited Talks
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The 15th International Workshop on Set Theory in Luminy, September 2019
I gave an invited talk at the 15th International Workshop on Set Theory in Luminy in Marseille, September 2019. Talk Title: Chain conditions, unbounded colorings and the C-sequence spectrum. Abstract: The productivity of the
Posted in Invited Talks
Tagged Closed coloring, Knaster, Precaliber, stationary reflection, unbounded function
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50 Years of Set Theory in Toronto, May 2019
I gave an invited talk at the 50 Years of Set Theory in Toronto meeting, Fields Institute for Research in Mathematical Sciences, May 2019. Talk Title: Analytic quasi-orders and two forms of diamond Abstract: We study Borel reduction of equivalence relations … Continue reading
Posted in Invited Talks
Tagged Analytic sets, Diamond-sharp, Generalized descriptive set theory
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