Dr. John E. Krueger
University of North Texas
Mathematics
(940) 565-4046
Email:

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

Academic - Post-Secondary
Associate Professor, University of North Texas. (2015 – Present).
Assistant Professor, 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, 2 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 5900, Special Problems, 18 courses.
MATH 5910, Special Problems, 1 course.
MATH 6010, Topics in Logic and Foundations, 2 courses.
MATH 6610, Topics in Topology and Geometry, 1 course.
MATH 6900, Special Problems, 4 courses.
MATH 6940, Individual Research, 3 courses.
MATH 6950, Doctoral Dissertation, 13 courses.

Directed Student Learning

Doctoral Advisory Committee Chair, Mathematics. (August 2021 – Present).

Doctoral Advisory Committee Chair, Mathematics. (August 2018 – Present).

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, Mathematics. (January 2019 – May 2019).

Dissertation Committee Member, Mathematics. (March 2019).

Directed Individual/Independent Study, Mathematics. (August 2018 – December 2018).

Other, Mathematics. (August 2018 – December 2018).

Directed Individual/Independent Study, Mathematics. (January 2018 – May 2018).

Directed Individual/Independent Study, Mathematics. (January 2018 – May 2018).

Other, 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).

Research

Published Intellectual Contributions

Journal Article
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.
Krueger, J. E. (2013). Weak Square Sequences and Special Aronszajn Trees.
Krueger, J. E. (2011). An Equiconsistency Result on Partial Squares.
Krueger, J. E. (2011). On the Weak Reflection Principle.
Krueger, J. E. (2011). Weak Compactness and No Partial Squares.
Krueger, J. E. (2009). Approachability at the Second Successor of a Singular Cardinal.
Krueger, J. E. (2009). Dense Non-Reflection for Stationary Collections of Countable Sets.
Krueger, J. E. (2009). Some Applications of Mixed Support Iterations.
Krueger, J. E. (2008). A General Mitchell Style Iteration.
Krueger, J. E. (2008). Internal Approachability and Reflection.
Krueger, J. E. (2008). Internally Club and Approachable for Larger Structures.
Krueger, J. E. (2007). Internally Club and Approachable.
Krueger, J. E. (2007). Radin Forcing and its Iterations.
Krueger, J. E. (2007). Thin Stationary Sets and Disjoint Club Sequences.
Krueger, J. E. (2006). Adding Clubs with Square.
Krueger, J. E. (2005). Destroying Stationary Sets.
Krueger, J. E. (2005). Strong Compactness and Stationary Sets.
Krueger, J. E. (2003). Fat Sets and Saturated Ideals.

Presentations Given

Invited Talk

Krueger, J. (Author & Presenter), Young Set Theory Workshop, Tutorial on Suslin Trees and Related Topics, Novi Sad, Serbia, Serbia. (2022).

Krueger, J. (Author & Presenter), 55th Spring Topology and Dynamical Systems Conference, 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).

Contracts, Grants and Sponsored Research

Grant - Research
Krueger, J. (Principal), "Forcing and Consistency Results," Sponsored by Simons Foundation, National, $42000 Funded. (September 1, 2019 – August 31, 2024).
Krueger, J. E. (Principal), "Forcing and Consistency Results," Sponsored by National Science Foundation, Federal, $140936 Funded. (September 1, 2015 – August 31, 2019).
Uncategorized
Krueger, J. E. (Principal), "Junior Faculty Summer Research Fellowship," Sponsored by UNT, $5000. (2012 – 2012).
Krueger, J. E. (Principal), "Junior Faculty Summer Research Fellowship," Sponsored by UNT, $5000. (2010 – 2010).

Awards and Honors

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

Faculty Research Award, Department of Mathematics. (April 2016 – 2016).

Service

University Service

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).

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

Reviewer, Journal Article, Several Mathematics Journals. (2020 – 2022).

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).