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Paul Larson
Professor
Mathematics

Paul Larson

Contact Info

513-529-9248
209-B LWS

Education

Ph.D., Mathematics, Berkeley

Research Interests

set theory, topology, model theory

Publications

  • Polar forcings and measured extensions, with Jindrich Zapletal. Topology and Its Applications 323, January 2023, article 108290
  • Unilateral weighted shifts on l2, with Konstantinos A. Beros, Journal of Operator Theory 87 (2022) 1, 113-136
  • Choosing between incompatible ideals, with Will Brian, European J. Combin. 96 (2021), Paper No. 103349
  • The rearrangement number, with Andreas Blass, Jorg Brendle, Will Brian, Joel D. Hamkins and Michael Hardy, Transactions of the American Mathematical Society 373 (2020) 1, 41-69
  • Prediction of chlorine and fluorine crystal structures at high pressure using symmetry driven structure search with geometric constraints, with Mark Olsen, Shefali Bhatia and Burkhard Militzer, J. Chem. Phys. 153, 094111 (2020)
  • A brief history of determinacy, in: Large Cardinals, Determinacy and Other Topics: The Cabal Seminar, Volume IV, Kechris, Lowe, Steel, eds., Cambridge University Press, 2020
  • Discontinuous homomorphisms, selectors, and automorphisms of the complex plane, with Jindich Zapletal, Proceedings of the American Mathematical Society 147 (2019) 4, 1733-1737
  • A model of ZFA with no outer model of ZFAC with the same pure part, with Saharon Shelah, Archive for Mathematical Logic 57 (2018) 7, 853-859
  • Consistency of a strong uniformization principle, with Saharon Shelah, Colloquium Mathematicum 146 (2017) 1, 1-13
  • Closed sets which consistently have few translates covering the line, with Tomek Bartoszynski and Saharon Shelah, Fundamenta Mathematicae 237 (2017) 2, 101-125
  • Square principles in Pmax extensions, with Andres Caicedo, Grigor Sargsyan, Ralf Schindler, John Steel and Martin Zeman, Israel Journal of Mathematics 217 (2017) 1, 231-261
  • Real games and strategically selective coideals, with Dilip Raghavan, in Sets and Computations, Lecture Notes Series Vol. 33, Institute for Mathematical Sciences, National University of Singapore, 2017
  • Scott Processes, in Beyond First Order Model Theory, J. Iovino, ed., CRC press, 2017
  • Canonical models for fragments of the Axiom of Choice, with Jindrich Zapletal, Journal of Symbolic Logic 82 (2017) 2, 489-509
  • Coding with canonical functions, with Saharon Shelah, Mathematical Logic Quarterly 63 (2017) 5, 334-341
  • Iterated elementary embeddings and the model theory of infinitary logic, with John Baldwin, Annals of Pure and Applied Logic 167 (2016) 3, 309-334
  • Automorphisms of P(lambda)/kappa, with Paul McKenney, Fundamenta Mathematicae 233 (2016) 3, 271-291
  • Ramsey ultrafilters and countable-to-one uniformization, with Richard Ketchersid and Jindrich Zapletal, Topology and its Applications 213 (2016), 190-198
  • A Choice function on countable sets, from determinacy, Proceedings of the American Mathematical Society 143 (2015) 4, 1763-1770
  • Almost Galois omega-stable classes, with John Baldwin and Saharon Shelah, Journal of Symbolic Logic 80 (2015) 3, 763-784
  • On the hereditary paracompactness of locally compact, hereditarily normal spaces, with Franklin D. Tall, Canadian Mathematics Bulletin 57 (2014) 3, 579-584
  • Universal functions, with Arnold Miller, Juris Steprans and William Weiss, Fundamenta Mathematicae 227 (2014), 197-245
  • Forcing axioms and the Continuum Hypothesis, with David Aspero and Justin Moore, Acta Mathematica 210 (2013) 1, 1-29
  • An introduction to Pmax forcing, in: Appalachian Set Theory, Cummings, Schimmerling, eds., Cambridge, 2012
  • A brief history of determinacy, in: The Handbook of the History of Logic, Kanamori, Gabbay, Woods, eds., Elsevier, 2012
  • What majority decisions are possible with possible abstaining, with Nick Matteo and Saharon Shelah, Discrete Mathematics 312 (7) 2012, 1309-1392
  • Some results about (+) proved by iterated forcing, with Tetsuya Ishiu, Journal of Symbolic Logic 77 (2) 2012, 515-531
  • Pmax variations for separating club guessing principles, with Tetsuya Ishiu, Journal of Symbolic Logic 77 (2) 2012, 532-544
  • Three days of Omega-logic, Annals of the Japan Association for Philosophy of Science 19 (May 2011), 57-86
  • Forcing over models of determinacy, in: The Handbook of Set Theory, Foreman, Kanamori, eds., Springer, 2010, 2121-2177
  • Introduction to Zermelo's Chess Papers, in: The Collected Works of Ernst Zermelo, Ebbinghaus, Fraser, Kanamori, eds, Springer 2010
  • D-spaces, irreducibility and trees, with Leandro F. Aurichi and Lucia R. Junqueira, Topology Proceedings 35 (2010), 73-82
  • Regular embeddings of the stationary tower and Woodin's Sigma^2_2 maximality theorem, with Richard Ketchersid and Jindrich Zapletal, Journal of Symbolic Logic 75 (2010) 2, 711-727
  • Universally measurable sets in generic extensions, with Itay Neeman and Saharon Shelah, Fundamenta Mathematicae 208 (2010) 2, 173-192
  • Locally compact perfectly normal spaces may all be paracompact, with Franklin D. Tall, Fundamenta Mathematicae 210 (2010) 3, 285-300
  • Ultrafilter limits of asymptotic density are not universally measurable, with Jorg Brendle, RIMS Kokyuroku 1686, April, 2010, 16-18
  • Another c.c.c. forcing that destroys presaturation, with Teruyuki Yorioka, RIMS Kokyuroku 1686, April, 2010, 73-74
  • Small-sum pairs in abelian groups, with Reza Akhtar, Journal de Theorie des Nombres de Bordeaux 22 (2010), 525-535
  • Splitting stationary sets from weak forms of Choice, with Saharon Shelah, Mathematical Logic Quarterly 55 (2009) 3, 299-306
  • The Filter Dichotomy and medial limits, Journal of Mathematical Logic 9 (2009) 2, 159-165
  • Bounding the consistency strength of a five element linear basis, with Bernhard Konig, Justin Moore and Boban Velickovic, Israel Journal of Mathematics 164 (2008) 1, 1-18
  • The stationary set splitting game, with Saharon Shelah, Mathematical Logic Quarterly 54 (2008) 2, 187-193
  • Absoluteness for universally Baire sets and the uncountable II, with Ilijas Farah, Richard Ketchersid and Menachem Magidor, in : Computational Prospects of Infinity, Part II, Lecture Notes Series, Institute for Mathematical Sciences, National University of Singapore - Vol. 15 (2008), 163-191
  • Rectangular axioms, perfect set properties and decomposition, with Jorg Brendle and Stevo Todorcevic, Bulletin de l'Academie Serbe des Sciences et des Arts, Classe des Sciences Mathematiques et Naturelles, Sciences mathematiques 33 (2008), 91-130
  • Martin's Maximum and definability in H(aleph_2), Annals of Pure and Applied Logic 156 (2008) 1, 110-122