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Dr. John E. Krueger

Professor

University of North Texas

Department of Mathematics

Email: John.Krueger@unt.edu

Education

  • PhD, Carnegie Mellon University, 2003
    Major: Mathematical Sciences
  • MS, Carnegie Mellon University, 1999
    Major: Mathematical Sciences
  • BA, University of Georgia, 1996
    Major: Philosophy

Professional Positions

  • Postdoc, University of California, Berkeley. University of California, Berkeley. (2006 - 2009).
  • Postdoc, University of Vienna. University of Vienna. (2003 - 2006).

    • Academic - Post-Secondary

  • Associate Professor, University of North Texas. University of North Texas. (2015 - Present).
  • Assistant Professor, University of North Texas. University of North Texas. (2009 - 2015).

Professional Memberships

  • American Mathematical Society. (2020 - Present).
  • Association for Symbolic Logic. (August 2003 - Present).

Teaching

Teaching Experience

    University of North Texas

  • MATH 2700 - Linear Algebra and Vector Geometry, 2 courses.
  • MATH 2730 - Multivariable Calculus, 3 courses.
  • MATH 3000 - Real Analysis I, 3 courses.
  • MATH 3410 - Differential Equations I, 9 courses.
  • MATH 3420 - Differential Equations II, 3 courses.
  • MATH 3510 - Introduction to Abstract Algebra, 4 courses.
  • MATH 3740 - Vector Calculus, 5 courses.
  • MATH 4010 - Introduction to Metamathematics, 1 course.
  • MATH 4060 - Foundations of Geometry, 4 courses.
  • MATH 4080 - Differential Geometry, 1 course.
  • MATH 4520 - Introduction to Functions of a Complex Variable, 1 course.
  • MATH 4610 - Probability, 1 course.
  • MATH 4900 - Special Problems, 8 courses.
  • MATH 4980 - Experimental Course, 1 course.
  • MATH 5010 - Mathematical Logic and Set Theory, 1 course.
  • MATH 5020 - Mathematical Logic and Set Theory, 1 course.
  • MATH 5400 - Introduction to Functions of a Complex Variable, 1 course.
  • MATH 5410 - Complex Analysis, 5 courses.
  • MATH 5420 - COMPLEX VARIABLE, 1 course.
  • MATH 5610 - Topology., 2 courses.
  • MATH 5620 - Topology, 1 course.
  • MATH 5900 - Special Problems, 20 courses.
  • MATH 5910 - Special Problems, 1 course.
  • MATH 6010 - Topics in Logic and Foundations, 3 courses.
  • MATH 6610 - Topics in Topology and Geometry, 1 course.
  • MATH 6900 - Special Problems, 5 courses.
  • MATH 6910 - Special Problems, 1 course.
  • MATH 6940 - Individual Research, 3 courses.
  • MATH 6950 - Doctoral Dissertation, 17 courses.

Directed Student Learning

  • Doctoral Advisory Committee Chair, Mathematics. (January 2021).
  • Doctoral Advisory Committee Chair, Mathematics. (August 2018).
  • Master's Thesis Committee Member, Mathematics. (April 2022 - April 2022).
  • Master's Thesis Committee Member, Mathematics. (September 2021 - September 2021).
  • Dissertation Committee Chair, "Results on Non-Club Isomorphic Aronszajn Trees," Mathematics. (August 2020).
  • Doctoral Advisory Committee Chair, "Results on Non-Club Isomorphic Aronszajn Trees," Mathematics. (August 2014 - August 2020).
  • Directed Individual/Independent Study, Mathematics. (August 2019 - December 2019).
  • Dissertation Committee Member, Mathematics. (June 2019).
  • Directed Individual/Independent Study, Mathematics. (January 2019 - May 2019).
  • Directed Individual/Independent Study, Mathematics. (January 2019 - May 2019).
  • Other (Dissertation Research Hours), Mathematics. (January 2019 - May 2019).
  • Dissertation Committee Member, Mathematics. (March 2019).
  • Directed Individual/Independent Study, Mathematics. (August 2018 - December 2018).
  • Other (Dissertation Research Hours), Mathematics. (August 2018 - December 2018).
  • Directed Individual/Independent Study, Mathematics. (January 2018 - May 2018).
  • Directed Individual/Independent Study, Mathematics. (January 2018 - May 2018).
  • Other (Dissertation Research Hours), Mathematics. (January 2018 - May 2018).
  • Dissertation Committee Member, Mathematics. (2017).
  • Master's Thesis Committee Chair, Mathematics. (2017).
  • Master's Thesis Committee Chair, Mathematics. (2013 - 2014).

Awards and Honors

  • Faculty Research Award, Department of Mathematics, UNT. (April 2019).
  • Faculty Research Award, Department of Mathematics. (April 2016).

Research

Published Intellectual Contributions

    Journal Article

  • Krueger, J. (2023). A Large Pairwise Far Family of Aronszajn Trees. Annals of Pure and Applied Logic. 174 (4) 12 pages.
  • Krueger, J., Chavez, J. (2022). Some Results on Non-Club Isomorphic Aronszajn Trees. Notre Dame Journal of Formal Logic. 63 (1) 109-120.
  • Krueger, J. (2020). A Forcing Axiom for a Non-Special Aronszajn Tree. Annals of Pure and Applied Logic. 171 (8) 23 pages.
  • Krueger, J., Gilton, T. (2020). A Note on the Eightfold Way. Proceedings of the American Mathematical Society. 148 (3) 1283-1293.
  • Krueger, J. (2020). Entangledness in Suslin Lines and Trees. Topology and its Applications. 275 19 pages.
  • Krueger, J., Aspero, D. (2020). Parametrized Measuring and Club Guessing. Fundamenta Mathematicae. 249 (2) 169-183.
  • Krueger, J. (2019). Guessing Models Imply the Singular Cardinal Hypothesis. Proceedings of the American Mathematical Society. 147 (12) 5427-5434.
  • Krueger, J.E. (2019). The Approachability Ideal Without a Maximal Set. Annals of Pure and Applied Logic. 170 (3) 297-382.
  • Krueger, J.E., Gilton, T. (2019). The Harrington-Shelah Model with Large Continuum. Journal of Symbolic Logic. 84 (2) 684-703.
  • Krueger, J.E. (2018). Club Isomorphisms on Higher Aronszajn Trees. Annals of Pure and Applied Logic. 169 (10) 1044-1081.
  • Krueger, J.E., Cox, S. (2018). Namba Forcing, Weak Approximation, and Guessing. Journal of Symbolic Logic. 83 (4) 1539-1565.
  • Krueger, J.E. (2017). Forcing with adequate sets of models as side conditions. Mathematical Logic Quarterly. 63 (1-2) 124-149.
  • Krueger, J.E., Cox, S. (2017). Indestructible guessing models and the continuum. Fundamenta Mathematicae. 239 221-258.
  • Krueger, J.E., Gilton, T. (2017). Mitchell's theorem revisited. Annals of Pure and Applied Logic. 168 (5) 922-1016.
  • Krueger, J.E., Cox, S. (2016). Quotients of Strongly Proper Forcings and Guessing Models. Journal of Symbolic Logic. 81 (1) 264-283.
  • Krueger, J.E. (2015). Adding a Club with Finite Conditions, Part II. Archive for Mathematical Logic. 54 (1-2) 161-172.
  • Krueger, J.E., Mota, M. (2015). Coherent Adequate Forcing and Preserving CH. Journal of Mathematical Logic. 15 (2)
  • Krueger, J.E. (2014). Coherent Adequate Sets and Forcing Square. Fundamenta Mathematicae. 224 279-300.
  • Krueger, J.E., Schimmerling, E. (2014). Separating Weak Partial Square Principles. Annals of Pure and Applied Logic. 165 (2) 609-619.
  • Krueger, J.E. (2014). Strongly Adequate Sets and Adding a Club with Finite Conditions. Archive for Mathematical Logic. 53 (1-2) 119-136.
  • Krueger, J.E. (2014). Successive Cardinals with No Partial Square. Archive for Mathematical Logic. 53 (1-2) 11-21.
  • Krueger, J.E. (2013). Namba Forcing and No Good Scale. Journal of Symbolic Logic. 78 (3) 785-802.
  • J. Krueger. (2013). Weak Square Sequences and Special Aronszajn Trees.
  • J. Krueger and E. Schimmerling. (2011). An Equiconsistency Result on Partial Squares.
  • J. Krueger. (2011). On the Weak Reflection Principle.
  • J. Krueger. (2011). Weak Compactness and No Partial Squares.
  • M. Gitik and J. Krueger. (2009). Approachability at the Second Successor of a Singular Cardinal.
  • D. Aspero, J. Krueger, and Y. Yoshinobu. (2009). Dense Non-Reflection for Stationary Collections of Countable Sets.
  • J. Krueger. (2009). Some Applications of Mixed Support Iterations.
  • J. Krueger. (2008). A General Mitchell Style Iteration.
  • J. Krueger. (2008). Internal Approachability and Reflection.
  • J. Krueger. (2008). Internally Club and Approachable for Larger Structures.
  • J. Krueger. (2007). Internally Club and Approachable.
  • J. Krueger. (2007). Radin Forcing and its Iterations.
  • Sy-David Friedman and J. Krueger. (2007). Thin Stationary Sets and Disjoint Club Sequences.
  • J. Krueger. (2006). Adding Clubs with Square.
  • J. Krueger. (2005). Destroying Stationary Sets.
  • J. Krueger. (2005). Strong Compactness and Stationary Sets.
  • J. Krueger. (2003). Fat Sets and Saturated Ideals.

Presentations Given

  • Invited talk at the AMS Fall Southeastern Sectional Meeting, Louisville, KY, October 2013, (2013 - 2013).
  • Invited talk at the AMS Spring Southeastern Sectional Meeting, Oxford, MS, March 2013, (2013 - 2013).
  • Invited talk at the Association for Symbolic Logic North American Annual Meeting, Waterloo, Canada, May, 2013, (2013 - 2013).
  • Invited talk at the Workshop on Iterated Forcing and Large Cardinals, Fields Institute, Toronto, Canada, December 2012, (2012 - 2012).
  • Invited Talk at the Annual Meeting of the Association for Symbolic Logic, University of California, Berkeley, March 2011, (2011 - 2011).
  • Invited talk at the Canadian Mathematical Society Meeting, Toronto, Canada, December 2011, (2011 - 2011).
  • Invited Talk at the Second Conference on the Core Model Induction and Hod Mice, University of Munester, Muenster, Germany, August 2011, (2011 - 2011).
  • Invited Talk at the Set Theory Meeting, Mathematisches Forschungsinstitut Oberwolfach, January 2011, (2011 - 2011).
  • Invited Talk at the Annual Meeting of the Assocation for Symbolic Logic, George Washington University, Washington D.C., March 2010, (2010 - 2010).
  • Invited Talk at the ESI Workshop on Large Cardinals and Descriptive Set Theory, Vienna, Austria, June 2009, (2009 - 2009).
  • Invited Talk at the Logic Colloquium, University of California, Berkeley, March 2009, (2009 - 2009).
  • Invited Talk at the National University of Singapore, January 2009, (2009 - 2009).
  • Invited Talk at the University of Colorado, January 2009, (2009 - 2009).
  • Invited Talk at the University of North Texas, February 2009, (2009 - 2009).
  • Invited Talk at the Faculty Seminar, Department of Mathematics, University of Denver, May 2008, (2008 - 2008).
  • Invited Talk at the Young Set Theory Workshop at Haus Annaberg in Bonn, January 2008, (2008 - 2008).
  • Set Theory Meeting at Mathematisches Forschungsinstitut Oberwolfach, January 2008, (2008 - 2008).
  • Invited Talk at the Singular Cardinal Combinatorics and Inner Model Theory Meeting, University of Florida, Gainesville, March 2007, (2007 - 2007).
  • Invited Talk at the UCLA Logic Colloquium, April 2007, (2007 - 2007).
  • Invited Talk at the Logic Colloquium, University of California, Berkeley, September 2006, (2006 - 2006).
  • Invited Talk at the Special Set Theory Session of Logic Colloquium 2006, Nijmegen, the Netherlands, August 2006, (2006 - 2006).
  • Invited Talk at the Centre de Recerca Matematica, Universitat Autonoma de Barcelona, Barcelona, Spain, March 005, (2005 - 2005).
  • Invited Talk at the Set Theory Meeting at Mathematisches Forschungsinstitut Oberwolfach, December 2005, (2005 - 2005).

    • Invited Talk

  • Krueger, J.E. (Author & Presenter), Logic Seminar, October 2023 (My flight was cancelled so I arrived a day late, so this seminar talk was cancelled), Suslin’s hypothesis and Aronszajn trees, Department of Logic, Charles University, Prague, Czech Republic. (2023 - 2023).
  • Krueger, J. (Author & Presenter), XVII International Luminy Workshop in Set Theory, October 2023, Forcing Over a Free Suslin Tree, CIRM, Luminy, France. (2023 - 2023).
  • Krueger, J. (Author & Presenter), MAMLS conference, May 2023, Forcing Over a Free Suslin Tree, Rutgers University, United States of America. (2023 - 2023).
  • Krueger, J. (Author & Presenter), Young Set Theory Workshop, August 2022 (four one-hour talks), Tutorial on Suslin Trees and Related Topics, Novi Sad, Serbia, Serbia. (2022).
  • Krueger, J. (Author & Presenter), 55th Spring Topology and Dynamical Systems Conference, March 2022, Suslin Tree Preservation and Club Isomorphisms, Baylor University, United States of America. (2022).
  • Krueger, J. (Author & Presenter), Set Theory Meeting, Guessing models imply the singular cardinal hypothesis, CIRM, Luminy, France. (2019).
  • Krueger, J. (Author & Presenter), Logic Fest in the Windy City, Guessing models and the singular cardinal hypothesis, Chicago, IL, United States of America. (2019).
  • Krueger, J. (Author & Presenter), ASL Winter Meeting, A forcing axiom for a non-special Aronszajn tree, Association for Symbolic Logic, AMS-MAA Joint Mathematics Meetings, Baltimore, MD, United States of America. (2019).
  • Krueger, J.E. (Author & Presenter), Logic Seminar, A forcing axiom for a non-special Aronszajn tree, Rutgers University, New Brunswick, NJ, United States of America. (2018 - 2018).
  • Krueger, J.E. (Author & Presenter), Logic Seminar, A forcing axiom for a non-special Aronszajn tree, Cornell University, Ithica, NY, United States of America. (2018 - 2018).
  • Krueger, J.E. (Author & Presenter), First Mexico-USA Logic Fest, Club isomorphisms on higher Aronszajn trees, Mexico City, Mexico, Mexico. (2018 - 2018).
  • Krueger, J.E. (Author & Presenter), Set Theory Meeting, Club isomorphisms on higher Aronszajn trees, CIRM, France, France. (2017).
  • Krueger, J.E. (Author & Presenter), MAMLS Meeting, The approachability ideal without a maximal set, Richmond, Virginia, United States of America. (2017).
  • Krueger, J.E. (Author & Presenter), Set Theory Meeting, The approachability ideal without a maximal set, Mathematisches Forschungsinstitut, Oberwolfach, Germany, Germany. (2017).
  • Krueger, J.E. (Author & Presenter), Forcing and its Applications Retrospective Workshop, Mitchell's theorem revisited, Fields Institute, Toronto, Canada, Canada. (2015).
  • Krueger, J.E. (Author & Presenter), BLAST, Quotients of strongly proper forcings and guessing models, Las Cruces, New Mexico, United States of America. (2015).
  • Krueger, J.E. (Author & Presenter), Set Theory Meeting, Forcing square with finite conditions, Mathematisches Forschungsinstitut, Oberwolfach, Germany, Germany. (2014).

    • Professional Meeting Contribution

  • Krueger, J.E. (Discussant), AIM Workshop $\aleph_2$ to Infinity, May 2023, Daily group research discussions, American Institute of Mathematics, San Jose, United States of America. (2023 - 2023).

Contracts, Grants, Sponsored Research

    Grant - Research

  • Krueger, J. (Principal), "Forcing and Consistency Results," sponsored by Simons Foundation, National, $42000 Funded. (2019 - 2024).
  • Krueger, J.E. (Principal), "Forcing and Consistency Results," sponsored by National Science Foundation, Federal, $140936 Funded. (2015 - 2019).
  • Krueger, J.E. (Principal), Schmidt, R. (Principal), "Forcing and Consistency Results," sponsored by Simons Foundation, FOND, Funded. (2019 - 2024).
  • Krueger, J.E. (Principal), "Forcing and Consistency Results," sponsored by National Science Foundation, FED, Funded. (2015 - 2019).

Service

University Service

  • Chairperson, Postdoc Search Organizer. (October 2023 - Present).
  • Committee Chair, Logic Tenure-Track Search Committee. (September 2023 - Present).
  • Director, Graduate Advisor. (May 15, 2022 - Present).
  • Committee Chair, Graduate Affairs Committee. (May 2022 - Present).
  • Committee Chair, Complex Analysis Qualifying Exam Committee. (December 2022 - May 2023).
  • Member, Executive Committee. (May 2021 - May 2023).
  • Chairperson, Postdoc Search Organizer. (October 2022 - March 2023).
  • Member, Graduate Affairs Committee. (May 2021 - May 2022).
  • Committee Member, Complex Analysis Qualifying Exam Committee. (August 2009 - May 2022).
  • Committee Chair, URC Midterm 4th Year Review - Nam Trang. (September 2021 - October 2021).
  • Member, URC Promotion to Full Professor - Pieter Allaart. (September 2021 - October 2021).
  • Committee Chair, Complex Analysis Qualifying Exam Committee. (May 2020 - August 2021).
  • Committee Member, Undergraduate Affairs Committee. (May 2020 - August 2021).
  • Committee Member, Dynamical Systems Tenure-Track Hiring Committee. (November 2020 - March 2021).
  • Committee Member, Ad hoc grade appeals committee. (2019).
  • Committee Member, External Chair Search Committee. (2019).
  • Other, Proposal to eliminate the SPC. (2019).
  • Committee Member, Executive Committee. (May 2018 - December 2019).
  • Committee Member, Graduate Affairs Committee. (May 2017 - December 2019).
  • Committee Member, Strategic Planning Committee. (May 2017 - May 2019).
  • Committee Chair, Complex Analysis Qualifying Exam Committee. (May 2017 - May 2018).
  • Committee Chair, Outreach Committee. (May 2017 - May 2018).
  • Committee Member, Outreach Committee. (May 2015 - May 2018).
  • Committee Member, Logic Tenure-Track Hiring Committee. (November 2017 - February 2018).
  • Committee Member, Executive Committee. (May 2015 - May 2017).
  • Other, Faculty Senate Benefits Committee. (2010 - 2013).
  • Other, Strategic Planning Committee. (2010 - 2011).

Professional Service

  • Conference-Related, BLAST conference. (September 2023 - December 2023).
  • Reviewer, Journal Article, Several Mathematics Journals. (2021 - 2023).
  • Reviewer, Grant Proposal, Grant Proposal Review. (2020).
  • Reviewer, Grant Proposal, Grant Proposal Review. (2019).
  • External T&P Letter Writer, External Tenure Review. (July 2017).
  • Reviewer, Grant Proposal, Simons Foundation. (March 2017).