Faculty Profile

John Krueger

Title
Professor
Department
Mathematics
College
College of Science

    

Education

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

Current Scheduled Teaching*

MATH 6950.702, Doctoral Dissertation, Spring 2023
MATH 5020.001, Mathematical Logic and Set Theory, Spring 2023
MATH 5900.703, Special Problems, Spring 2023
MATH 5900.708, Special Problems, Spring 2023

* Texas Education Code 51.974 (HB 2504) requires each institution of higher education to make available to the public, a syllabus for undergraduate lecture courses offered for credit by the institution.

Previous Scheduled Teaching*

MATH 4080.001, Differential Geometry, Fall 2022 Syllabus SPOT
MATH 6950.710, Doctoral Dissertation, Fall 2022
MATH 5900.713, Special Problems, Fall 2022
MATH 6950.711, Doctoral Dissertation, Spring 2022
MATH 6010.001, Topics in Logic and Foundations, Spring 2022 Syllabus SPOT
MATH 3740.001, Vector Calculus, Spring 2022 Syllabus SPOT
MATH 5410.001, Complex Analysis, Fall 2021 Syllabus SPOT
MATH 6950.714, Doctoral Dissertation, Fall 2021
MATH 3740.001, Vector Calculus, Fall 2021 Syllabus SPOT
MATH 6950.713, Doctoral Dissertation, Spring 2021
MATH 2730.004, Multivariable Calculus, Spring 2021 Syllabus SPOT
MATH 2730.006, Multivariable Calculus, Spring 2021 Syllabus SPOT
MATH 5900.703, Special Problems, Spring 2021
MATH 6950.715, Doctoral Dissertation, Fall 2020
MATH 4980.001, Experimental Course, Fall 2020 Syllabus SPOT
MATH 5410.001, Functions of a Complex Variable, Fall 2020 Syllabus SPOT
MATH 5900.715, Special Problems, Fall 2020
MATH 6950.703, Doctoral Dissertation, Summer 5W1 2020
MATH 6950.714, Doctoral Dissertation, Spring 2020
MATH 3410.004, Differential Equations I, Fall 2019 Syllabus SPOT
MATH 6950.715, Doctoral Dissertation, Fall 2019
MATH 5900.715, Special Problems, Fall 2019
MATH 6610.001, Topics in Topology and Geometry, Fall 2019 SPOT
MATH 3410.003, Differential Equations I, Spring 2019 Syllabus SPOT
MATH 3410.503, Differential Equations I, Spring 2019 Syllabus SPOT
MATH 3420.001, Differential Equations II, Spring 2019 Syllabus SPOT
MATH 6950.716, Doctoral Dissertation, Spring 2019
MATH 5900.705, Special Problems, Spring 2019
MATH 6900.706, Special Problems, Spring 2019
MATH 6950.715, Doctoral Dissertation, Fall 2018
MATH 5410.001, Functions of a Complex Variable, Fall 2018 SPOT
MATH 4900.706, Special Problems, Fall 2018
MATH 5900.715, Special Problems, Fall 2018
MATH 3740.001, Vector Calculus, Fall 2018 Syllabus SPOT
MATH 3410.006, Differential Equations I, Spring 2018 Syllabus SPOT
MATH 6950.716, Doctoral Dissertation, Spring 2018
MATH 6940.702, Individual Research, Spring 2018
MATH 5900.708, Special Problems, Spring 2018
MATH 3410.005, Differential Equations I, Fall 2017 Syllabus SPOT
MATH 6950.715, Doctoral Dissertation, Fall 2017
MATH 5410.001, Functions of a Complex Variable, Fall 2017 SPOT
MATH 6940.705, Individual Research, Fall 2017
MATH 5900.715, Special Problems, Fall 2017
MATH 3420.001, Differential Equations II, Spring 2017 Syllabus SPOT
MATH 6940.703, Individual Research, Spring 2017
MATH 3410.003, Differential Equations I, Fall 2016 Syllabus SPOT
MATH 6900.715, Special Problems, Fall 2016
MATH 6010.001, Topics in Logic and Foundations, Fall 2016 SPOT
MATH 3420.001, Differential Equations II, Spring 2016 Syllabus SPOT
MATH 6900.716, Special Problems, Spring 2016
MATH 3410.005, Differential Equations I, Fall 2015 Syllabus SPOT
MATH 5900.715, Special Problems, Fall 2015
MATH 3740.001, Vector Calculus, Fall 2015 Syllabus SPOT
MATH 5900.716, Special Problems, Spring 2015
MATH 3740.001, Vector Calculus, Spring 2015 Syllabus
MATH 3410.001, Differential Equations I, Fall 2014 Syllabus
MATH 4060.001, Foundations of Geometry, Fall 2014 Syllabus
MATH 5900.726, Special Problems, Fall 2014
MATH 5910.710, Special Problems, Fall 2014
MATH 4060.001, Foundations of Geometry, Spring 2014 Syllabus
MATH 3510.001, Introduction to Abstract Algebra, Spring 2014 Syllabus
MATH 4900.705, Special Problems, Spring 2014
MATH 5900.716, Special Problems, Spring 2014
MATH 3510.001, Introduction to Abstract Algebra, Fall 2013 Syllabus
MATH 4610.002, Probability, Fall 2013 Syllabus
MATH 4900.712, Special Problems, Fall 2013
MATH 5900.726, Special Problems, Fall 2013
MATH 6900.725, Special Problems, Fall 2013
MATH 3410.001, Differential Equations I, Spring 2013 Syllabus
MATH 4060.001, Foundations of Geometry, Spring 2013 Syllabus
MATH 4900.705, Special Problems, Spring 2013
MATH 5900.718, Special Problems, Spring 2013
MATH 5900.719, Special Problems, Spring 2013
MATH 4010.001, Introduction to Metamathematics, Fall 2012 Syllabus
MATH 5010.001, Mathematical Logic and Set Theory, Fall 2012
MATH 3000.001, Real Analysis I, Fall 2012 Syllabus
MATH 4900.712, Special Problems, Fall 2012
MATH 4060.001, Foundations of Geometry, Spring 2012 Syllabus
MATH 3510.001, Introduction to Abstract Algebra, Spring 2012 Syllabus
MATH 4900.705, Special Problems, Spring 2012
MATH 5900.719, Special Problems, Spring 2012
MATH 4520.001, Introduction to Functions of a Complex Variable, Fall 2011 Syllabus
MATH 5400.001, Introduction to Functions of a Complex Variable, Fall 2011
MATH 3000.003, Real Analysis I, Fall 2011 Syllabus
MATH 4900.712, Special Problems, Fall 2011
MATH 5420.001, COMPLEX VARIABLE, Spring 2011
MATH 4900.705, Special Problems, Spring 2011
MATH 5410.002, Functions of a Complex Variable, Fall 2010
MATH 3000.002, Real Analysis I, Fall 2010 Syllabus
MATH 3510.001, Introduction to Abstract Algebra, Spring 2010
MATH 2700.002, Linear Algebra and Vector Geometry, Fall 2009
MATH 2700.003, Linear Algebra and Vector Geometry, Fall 2009

* Texas Education Code 51.974 (HB 2504) requires each institution of higher education to make available to the public, a syllabus for undergraduate lecture courses offered for credit by the institution.

Published Publications

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.

Awarded Grants

Contracts, Grants and Sponsored Research

Grant - Research
Krueger, J. (Principal), "Forcing and Consistency Results," Sponsored by Simons Foundation, National, $42000 Funded. (September 1, 2019August 31, 2024).
Krueger, J. E. (Principal), "Forcing and Consistency Results," Sponsored by National Science Foundation, Federal, $140936 Funded. (September 1, 2015August 31, 2019).
,
Overall
Summative Rating
Challenge and
Engagement Index
Response Rate

out of 5

out of 7
%
of
students responded
  • Overall Summative Rating (median):
    This rating represents the combined responses of students to the four global summative items and is presented to provide an overall index of the class’s quality. Overall summative statements include the following (response options include a Likert scale ranging from 5 = Excellent, 3 = Good, and 1= Very poor):
    • The course as a whole was
    • The course content was
    • The instructor’s contribution to the course was
    • The instructor’s effectiveness in teaching the subject matter was
  • Challenge and Engagement Index:
    This rating combines student responses to several SPOT items relating to how academically challenging students found the course to be and how engaged they were. Challenge and Engagement Index items include the following (response options include a Likert scale ranging from 7 = Much higher, 4 = Average, and 1 = Much lower):
    • Do you expect your grade in this course to be
    • The intellectual challenge presented was
    • The amount of effort you put into this course was
    • The amount of effort to succeed in this course was
    • Your involvement in course (doing assignments, attending classes, etc.) was
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