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