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Filter reflection Weakly compact cardinal Uniformly homogeneous Axiom R regressive Souslin tree Dushnik-Miller higher Baire space Amenable C-sequence incompactness nonmeager set Successor of Singular Cardinal projective Boolean algebra Diamond AIM forcing free Souslin tree Selective Ultrafilter full tree positive partition relation Reduced Power Jonsson cardinal Whitehead Problem Hedetniemi's conjecture GMA square principles Parameterized proxy principle weak square Lipschitz reduction Ineffable cardinal Coherent tree Almost countably chromatic Shelah's Strong Hypothesis Universal Sequences Diamond for trees Cardinal function stick Iterated forcing coloring number Kurepa Hypothesis Poset Dowker space Cohen real Closed coloring Absoluteness Singular cardinals combinatorics Strongly Luzin set Fast club Ostaszewski square Knaster ccc Singular Density Ramsey theory over partitions transformations Local Club Condensation. Luzin set diamond star Chromatic number Antichain Rainbow sets Rado's conjecture Non-saturation Nonspecial tree Sakurai's Bell inequality Knaster and friends weak diamond Club Guessing O-space Partition Relations Almost Souslin polarized partition relation C-sequence Rock n' Roll Singular cofinality xbox indecomposable ultrafilter strongly bounded groups Fodor-type reflection reflection principles very good scale Commutative cancellative semigroups Large Cardinals free Boolean algebra P-Ideal Dichotomy specializable Souslin tree tensor product graph countably metacompact Well-behaved magma Erdos-Hajnal graphs middle diamond OCA Generalized descriptive set theory Distributive tree HOD S-Space Successor of Regular Cardinal SNR Generalized Clubs super-Souslin tree Ascent Path Cardinal Invariants Sigma-Prikry Uniformization Mandelbrot set Microscopic Approach Subadditive Prevalent singular cardinals b-scale Subtle tree property Reflecting stationary set Diamond-sharp Souslin Tree Square-Brackets Partition Relations Ulam matrix Fat stationary set Minimal Walks Greatly Mahlo Small forcing Forcing Constructible Universe stationary reflection 54G20 PFA L-space square Hereditarily Lindelöf space club_AD Uniformly coherent approachability ideal Martin's Axiom Was Ulam right sap Hindman's Theorem PFA(S)[S] Sierpinski's onto mapping principle Erdos Cardinal ZFC construction Open Access unbounded function Slim tree Almost-disjoint family Subtle cardinal Postprocessing function Forcing Axioms Chang's conjecture Subnormal ideal stationary hitting Strong coloring Aronszajn tree Vanishing levels Precaliber Foundations Analytic sets Prikry-type forcing
Category Archives: Invited Talks
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, Partition Relations
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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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 $\kappa$-chain condition, where $\kappa$ is a regular, … Continue reading
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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4th Arctic Set Theory Workshop, January 2019
I gave an invited talk at the Arctic Set Theory Workshop 4 in Kilpisjärvi, January 2019. Talk Title: Splitting a stationary set: Is there another way? Abstract: Motivated by a problem in pcf theory, we seek for a new way … Continue reading
Posted in Invited Talks
Tagged Club Guessing, Reflecting stationary set, Ulam matrix, very good scale
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11th Young Set Theory Workshop, June 2018
I gave a 4-lecture tutorial at the 11th Young Set Theory Workshop, Lausanne, June 2018. Title: In praise of C-sequences. Abstract. Ulam and Solovay showed that any stationary set may be split into two. Is it also the case that … Continue reading
Posted in Invited Talks
Tagged Aronszajn tree, C-sequence, incompactness, Knaster, Minimal Walks, Postprocessing function, square
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