Catherine Crockett, Ph.D.

Associate Professor of Mathematics

Dr. Crockett earned her Ph.D. in Mathematics from the University of California, Riverside. Prior to doctoral work, she earned an MS and BS in Mathematics (with a concentration in Applied Math) form Cal Poly Pomona. Her specialization is topology with an emphasis in knot theory. She has mentored graduate and undergraduate students. She also has served as a judge of research presentations at the American Mathematical Society's national meetings.

Dr. Crockett's research interests include working with braid and knot invariant and improving education in quantitative literacy. She is currently serving as the secretary/treasurer of a national quantitative literacy group called SIGMMA-QL.

Dr. Crockett enjoys reading, gardening, cooking and exploring San Diego with her dog, Cooper.

Education

  • Ph.D., Mathematics, University of California, Riverside
  • M.S., Mathematics with concentration in Applied Math, California State Polytechnic University, Pomona
  • B.S., Mathematics with concentration in Applied Math, California State Polytechnic University, Pomona

Courses Taught

  • Elementary Algebra – MTH 099
  • Intermediate Algebra – MTH 113
  • Calculus and Modeling – MTH 121
  • Elementary Functions – MTH 123
  • Computer Aided Calculus – MTH 131
  • Pre-Calculus – MTH 123/133
  • Calculus with Applications – MTH 144
  • Business Math – MTH 153
  • Calculus I – MTH 164
  • Calculus II – MTH 174
  • Introduction to Statistics – MTH 203
  • Fundamentals of Elementary Mathematics I – MTH 213
  • Fundamentals of Elementary Mathematics II – MTH 223
  • Calculus III – MTH 274
  • Problem Solving – MTH 303
  • Mathematical Statistics – MTH 382
  • Mathematical Probability and Statistics – MTH 383
  • Mathematical Probability – MTH 392
  • Topics in Geometry – MTH 402
  • Complex Analysis – MTH 413
  • Real Analysis I – MTH 424
  • Abstract Algebra I – MTH 444
  • Abstract Algebra II – MTH 452 
  • Special Topics in Mathematics – MTH 492
  • Senior Seminar in Mathematics/Computer Science – MTH 481/CSC 481

Experience in Field

  • Associate Professor of Mathematics, Point Loma Nazarene University, Fall 2016 – Present

Professional and Community Involvement

  • SIGMAA QL: Secretary/Treasurer of SIGMAA QL, 2016 – Present

Undergraduate Student Research Supervised:

  • Joy Chen, May 2012 – May 2013, Title of Honors project “On the Alexander Polynomial and Related Invariants”.
  • Amy Hinds, May 2012 – July 2012, Topic: Finding the connection between the degrees of Alexander polynomials and unknotting numbers.
  • Wileen Chiu, May 2011 – August 2011, Topic: Researching the ingredients necessary to make a strong computational science program.
  • Antony Wright, May 2010 – August 2010, Topic: Using a computer to search for patterns in Brunnian links and braid words
  • Kristen LoPresti, May 2009 – May 2010, Title of Honors project “Searching for Patterns in Brunnian links”.

Dissertations, Presentations, and Publications

Publications:

  • L. Carter, R. Botts and C. Crockett (2012) "Computational Science Program: the Background Research", Paper published in the 2012 Frontiers in Education Conference refereed proceedings, Seattle, Washington  October 3-6, pp.1091-1096


Talks:

  • C. Crockett, April 2006, "Loop Braid Category, AMS Sectional Meeting, Special Session on Quantum Invariants, University of New Hampshire
  • C. Crockett, January 2015, "The Impact of a Blended Course Format on Student Learning and Attitudes in a Quantitative Literacy Course", Joint Mathematics Meeting, San Antonio, TX