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