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unbounded function Slim tree Reduced Power C-sequence Cardinal function Singular Density 54G20 Monotonically far Subadditive Sakurai's Bell inequality approachability ideal Subtle tree property b-scale Erdos Cardinal stationary hitting Selective Ultrafilter OCA Partition relations for trees Small forcing Singular cofinality Jonsson cardinal S-Space Knaster and friends higher Baire space Whitehead Problem Cohen real Parameterized proxy principle Fast club Luzin set Ascent Path Ineffable cardinal Chang's conjecture tensor product graph specializable Souslin tree Entangled linear order Weakly compact cardinal Commutative cancellative semigroups Fat stationary set stationary reflection Partition Relations Successor of Regular Cardinal Constructible Universe reflection principles Club Guessing Interval topology on trees Analytic sets stick Nonspecial tree Hedetniemi's conjecture weak square Microscopic Approach Forcing Non-saturation countably metacompact Hindman's Theorem Mandelbrot set Ascending path sap Reflecting stationary set Distributive tree P-Ideal Dichotomy Souslin Tree Greatly Mahlo Chromatic number Square-Brackets Partition Relations xbox Ostaszewski square Generalized Clubs Almost Souslin Forcing with side conditions perfectly normal Uniformization super-Souslin tree Respecting tree incompactness Kurepa Hypothesis ZFC construction Prevalent singular cardinals Shelah's Strong Hypothesis square principles Martin's Axiom Coherent tree Subtle cardinal Precaliber Well-behaved magma Vanishing levels projective Boolean algebra club_AD Foundations Singular cardinals combinatorics Absoluteness Rainbow sets L-space Amenable C-sequence Ulam matrix Dowker space Intersection model Diamond SNR Postprocessing function free Boolean algebra Open Access Universal Sequences transformations Uniformly coherent Local Club Condensation. Diamond-sharp Uniformly homogeneous Closed coloring weak diamond weak Kurepa tree Lipschitz reduction Hereditarily Lindelöf space Generalized descriptive set theory strongly bounded groups Strongly compact cardinal Almost countably chromatic Prikry-type forcing Dushnik-Miller Diamond for trees polarized partition relation Erdos-Hajnal graphs Knaster Commutative projection system Strongly Luzin set Strong coloring Rado's conjecture Forcing Axioms O-space HOD AIM forcing Cardinal Invariants middle diamond coloring number Axiom R positive partition relation indecomposable filter regressive Souslin tree Countryman line Filter reflection Aronszajn tree Poset Large Cardinals GMA ccc square Successor of Singular Cardinal Fodor-type reflection Sigma-Prikry PFA(S)[S] Subnormal ideal full tree diamond star Antichain very good scale Sierpinski's onto mapping principle Minimal Walks nonmeager set PFA Ramsey theory over partitions Iterated forcing free Souslin tree Was Ulam right? Rock n' Roll Almost-disjoint family
Category Archives: Invited Talks
The 18th International Workshop on Set Theory in Luminy, November 2015
I gave an invited talk at the 18th International Workshop on Set Theory in Luminy in Marseille, November 2025. Talk Title: What is a higher forcing axiom? Abstract: There are multiple interpretations of what is a forcing axiom. We shall … Continue reading
Posted in Invited Talks
Tagged Forcing Axioms
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Conference in honor of Saharon Shelah’s 80th birthday
I gave an invited talk at the conference in honor of Shelah’s 80th birthday, July 2025. Talk Title: Marginalia to [Sh:365] Abstract: Solovay famously proved that every stationary subset of a regular uncountable cardinal kappa may be decomposed into kappa … Continue reading
Posted in Invited Talks
Tagged Greatly Mahlo, Strong coloring, Was Ulam right?
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2025 Annual conference of the IMU
I gave an invited talk at the Set Theory session of the annual meeting of the IMU, July 2025. Talk Title: What my co-authors taught me about indecomposability Abstract: Ulam’s measure problem studies when there is a countably-additive two-valued measure … Continue reading
Posted in Invited Talks
Tagged indecomposable filter
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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 $\omega_1$-Countryman line is an uncountable linear order $L$ such that $L^2$ (with the pointwise ordering) is … Continue reading
Posted in Invited Talks
Tagged Countryman line, Monotonically far
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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 $\clubsuit$ implies the existence of a Souslin tree. Here we settle the dual problem of … Continue reading
Posted in Invited Talks
Tagged club_AD, Dowker space
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