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higher Baire space Chromatic number Hedetniemi's conjecture Ostaszewski square middle diamond ccc Jonsson cardinal very good scale Chang's conjecture P-Ideal Dichotomy Strongly Luzin set reflection principles Cardinal function strongly bounded groups Kurepa Hypothesis Small forcing Luzin set Diamond for trees incompactness free Souslin tree full tree Forcing Vanishing levels Filter reflection Partition Relations Forcing Axioms Well-behaved magma weak square Open Access transformations Shelah's Strong Hypothesis Precaliber b-scale Dowker space Minimal Walks Strongly compact cardinal Antichain Prevalent singular cardinals Rainbow sets Mandelbrot set sap Successor of Regular Cardinal Hindman's Theorem weak diamond Almost Souslin Hereditarily Lindelöf space square principles PFA(S)[S] club_AD 54G20 Strong coloring Commutative projection system Poset Erdos Cardinal Rock n' Roll Souslin Tree Distributive tree super-Souslin tree Almost-disjoint family Cohen real Singular cofinality stationary hitting stick Square-Brackets Partition Relations SNR Intersection model Almost countably chromatic Parameterized proxy principle Local Club Condensation. Aronszajn tree square Nonspecial tree Dushnik-Miller Erdos-Hajnal graphs Iterated forcing Ramsey theory over partitions Ulam matrix Club Guessing Foundations countably metacompact Axiom R Ineffable cardinal Reflecting stationary set Whitehead Problem C-sequence free Boolean algebra Lipschitz reduction Diamond Rado's conjecture Fast club Slim tree Sakurai's Bell inequality Generalized descriptive set theory Sigma-Prikry tensor product graph Large Cardinals Subadditive Weakly compact cardinal Sierpinski's onto mapping principle Universal Sequences Knaster and friends Analytic sets Prikry-type forcing nonmeager set positive partition relation Absoluteness polarized partition relation Commutative cancellative semigroups Cardinal Invariants Uniformly homogeneous Countryman line approachability ideal Non-saturation ZFC construction Diamond-sharp Ascent Path projective Boolean algebra HOD Singular cardinals combinatorics L-space Subtle cardinal Coherent tree regressive Souslin tree PFA stationary reflection Closed coloring Knaster GMA Fodor-type reflection Martin's Axiom Was Ulam right? AIM forcing Uniformization Greatly Mahlo Postprocessing function Generalized Clubs Subtle tree property OCA xbox Successor of Singular Cardinal Uniformly coherent Reduced Power weak Kurepa tree Constructible Universe Microscopic Approach S-Space Amenable C-sequence Singular Density coloring number Fat stationary set O-space indecomposable filter specializable Souslin tree Respecting tree Selective Ultrafilter unbounded function diamond star Subnormal ideal
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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