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Douglas P. Brozovic

Associate Professor

University of North Texas

Department of Mathematics

Email: dpb0011@unt.edu

Education

  • PhD, Ohio State University, 1991
    Major: Mathematics
    Dissertation: "On Lengths of Chains in Lie Type Groups in Characteristic 3"
  • MS, Ohio State University, 1986
    Major: Mathematics
  • BS, Ohio State University, 1984
    Major: Mathematics

Professional Positions

  • Associate Professor, University of North Texas. University of North Texas. (2007 - Present).
  • Cryptologic Mathematician, Department of Defense. Department of Defense. (2006 - 2007).
  • Associate Professor, University of North Texas. University of North Texas. (1997 - 2006).
  • Assistant Professor, University of North Texas. University of North Texas. (1991 - 1997).
  • Graduate Teaching Assistant, The Ohio State University. The Ohio State University. (1984 - 1991).
  • Undergraduate Teaching Assistant, The Ohio State University. The Ohio State University. (1982 - 1984).

Teaching

Teaching Experience

    University of North Texas

  • MATH 1650 - Pre Calculus, 18 courses.
  • MATH 1710 - Calculus I, 20 courses.
  • MATH 1720 - Calculus II, 2 courses.
  • MATH 2510 - Real Analysis I, 1 course.
  • MATH 2520 - Real Analysis II, 1 course.
  • MATH 2700 - Linear Algebra and Vector Geometry, 1 course.
  • MATH 3410 - Differential Equations I, 1 course.
  • MATH 3510 - Abstract Algebra I, 1 course.
  • MATH 4430 - Introduction to Graph Theory, 1 course.
  • MATH 4450 - Introduction to the Theory of Matrices, 1 course.
  • MATH 4500 - Introduction to Topology, 3 courses.
  • MATH 4900 - Special Problems, 5 courses.
  • MATH 4910 - Special Problems, 1 course.
  • MATH 4980 - Experimental Course, 1 course.
  • MATH 5000 - Instructional Issues for the Professional Mathematician, 9 courses.
  • MATH 5500 - Introduction to the Theory of Matrices, 1 course.
  • MATH 5520 - Modern Algebra, 8 courses.
  • MATH 5530 - Modern Algebra, 7 courses.
  • MATH 5600 - Introduction to Topology, 3 courses.
  • MATH 5700 - Selected Topics in Contemporary Mathematics, 1 course.
  • MATH 5900 - Special Problems, 22 courses.
  • MATH 5910 - Special Problems, 1 course.
  • MATH 6510 - Topics in Algebra, 6 courses.
  • MATH 6520 - Algebra Seminar, 2 courses.
  • MATH 6900 - Special Problems, 2 courses.
  • MATH 6950 - Doctoral Dissertation, 6 courses.

Directed Student Learning

  • Dissertation Committee Chair, Mathematics. (December 2019).
  • Master's Thesis Committee Chair, Mathematics. (January 15, 2022 - December 12, 2023).
  • Master's Thesis Committee Member, Mathematics. (March 28, 2023).
  • Dissertation Committee Chair, "On sharp permutation groups with non-solvable Frobenius one point stabilizers," Mathematics. (August 2018 - March 20, 2023).
  • Directed Individual/Independent Study, "Subgroups of GL(2,p) and PGL(2,p)," Mathematics. (August 20, 2022 - December 15, 2022).
  • Master's Thesis Committee Member, Mathematics. (July 30, 2021 - July 30, 2021).
  • Dissertation Defense Committee Member, Mathematics. (March 17, 2020 - March 17, 2020).
  • Master's Thesis Committee Member, Mathematics. (March 4, 2020 - March 4, 2020).
  • Master's Thesis Committee Chair, Mathematics. (August 2018 - July 2019).
  • Master's Thesis Committee Chair, Mathematics. (January 2018 - May 2019).
  • Master's Thesis Committee Member, Mathematics. (August 2018 - December 2018).
  • Dissertation Committee Member, Mathematics. (January 2018 - May 2018).
  • Dissertation Committee Member, Mathematics. (January 2018 - May 2018).
  • Master's Thesis Committee Chair, "The Structure of Frobenius Groups," Mathematics. (May 2017 - May 2018).
  • Master's Thesis Committee Chair, "“Exceptional Binary Quadratic Residue Codes”," Mathematics. (May 2016 - July 2017).
  • Dissertation Committee Member, Mathematics. (January 2017 - May 2017).
  • Dissertation Committee Member, Mathematics. (August 2016 - December 2016).

Awards and Honors

  • President's Counsel Teaching Award, University of North Texas. (2003).

Research

Published Intellectual Contributions

    Journal Article

  • Douglas Brozovic and Peter Sin. (2016). A note on point stabilizers in sharp permutation groups of type {0,k}. Communications in Algebra. 44 (8) 3324-3339. Taylor & Francis.
  • Douglas Brozovic. (2014). The Classification of Primitive Sharp Permutation Groups of type {0,k}, Communications in Algebra, 42 (7) (2014). http://www.tandfonline.com/toc/lagb20/42/7#.U_zS9GO9aOU
  • with Chat Yin Ho. (2006). Some Characterizations for Desarguesian Translation Planes By Orders of Subgroups in Translation Complements.
  • with Chat Yin Ho and Akihiro Munemasa. (2002). A Correction to ``Incidence Matrices and Collineations of Finite Projective Planes, by Chat Yin Ho, Designs, Codes and Crypt ography, 18, (1999), 159-162''.
  • Brozovic, D.P. (2000). One point stabilizers in almost simple sharp permutation groups.
  • with Ron Solomon. (1997). On Groups of Hyperbolic Length.
  • Brozovic, D.P. (1996). On primitive sharp permutation groups.
  • Brozovic, D.P. (1994). A reduction theorem for the chain length of an odd characteristic Lie Type Group.
  • Brozovic, D.P. (1994). Almost Simple p-obstructions in Odd Characteristic Lie Type Groups.
  • Brozovic, D.P. (1994). Groups of hyperbolic length in odd characteristic groups of Lie type.
  • Brozovic, D.P. (1994). The Length of Chains in Odd Characteristic groups of Lie Type.
  • with Ron Solomon. (1993). A Survey on Chains of Subgroups.
  • Brozovic, D.P. (1993). Subgroup Chains in Finite Groups.

Presentations Given

  • A survey of sharp permutation groups, (2014 - 2014).
  • Partitions in Finite Groups,' an invited lecture given at the National Security Agency, Ft. Meade, Maryland, 9 April, 2007, (2007 - 2007).
  • Classifying Primitive Sharp Permutation Groups of Small Rank, (2006 - 2006).
  • Finite Geometries and Involving Undergraduates in Research Like Experiences, (2006 - 2006).
  • Finite Groups, Finite Geometries and Involving Undergraduates in Research Like Experiences, an invited lecture given at William Jewell College, Liberty Missouri, 30 Jan., 2006., (2006 - 2006).
  • Some Characterizations of Finite Desarguesian Translation Planes By Orders of Subgroups of Collineations, an invited talk presented at the special session on "Groups, Representations and Characters," AMS Sectional Meeting #995 at the Ohio University, Athens, Ohio, 27 March, 2004., (2004 - 2004).
  • Translation Planes With Large Translation Complements, (2004 - 2004).
  • A Characterization of Translation Planes with Large Translation Complements, an invited lecture presented at the Institute for Defense Analysis, Center for Communication Research, La Jolla, California, 6 Oct., 2003., (2003 - 2003).
  • A Group Theorist's Introduction to Finite Translation Planes, an invited Colloquium presented at the New College of the University of South Florida in Sarasota, 14 March, 2003., (2003 - 2003).
  • A Brief Survey of Sharp Permutation Groups, (2000 - 2000).
  • A Survey of Sharp Permutation Groups, an invited Colloquium lecture given at the University of Bielefeld, Germany, 19 June, 2000., (2000 - 2000).
  • A Survey of Sharp Permutation Groups, (1999 - 1999).
  • Sharp Permutation Groups, (1997 - 1997).
  • Sharp Permutation Groups and the uniform base property, (1994 - 1994).
  • `Subgroup chains in Finite Groups; Prediction and Computation', (1993 - 1993).
  • Long maximal subgroups and chain length bounds in finite groups, (1993 - 1993).
  • Subgroup Chains in Finite Groups, (1993 - 1993).

    • Invited Talk

  • Brozovic, D. (Author & Presenter), Algebra Seminar, ULLafayette, Sharp Permutation Groups, University of Louisiana Lafayette, Lafayette, LA, United States of America. (2022 - 2022).

    • Lecture

  • Brozovic, D. (Author & Presenter), 2020 Zassenhaus Groups and Friends Conference, An Introduction to sharp permutation groups, Binghamton University, On-Line, United States of America. (2020 - 2020).
  • Brozovic, D. (Author & Presenter), 2019 China-US Group Theory Summit, An introduction to sharp permutation groups, Texas State University, San Marcos, United States of America. (2019 - 2019).

Service

University Service

  • Committee Member, Algebra Qualifying exam committee. (August 2012 - May 2024).
  • Committee Member, Graduate Council. (August 2015 - August 2023).
  • Program Organizer, Algebra Seminar organizer (or co-organizer). (January 2020 - May 2023).
  • Committee Member, Committee on the Status of LGBTQ+ Faculty. (January 2020 - August 2022).
  • Committee Member, Graduate Affairs Committee. (August 2012 - June 2022).
  • Member, Graduate program assessment (Trac-Dat ). (2010 - April 2022).
  • Member, search committee for "Computational Number Theory, Algebra and Combinatorics". (December 2021 - March 2022).
  • Committee Chair, Algebra Qualifying exam committee (Chair). (August 2017 - August 2020).
  • Committee Chair, Graduate Affairs Committee (Chair). (January 2016 - December 2019).