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