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Who am I, and why
am I here?
Robert Talbert, PhD
WCHS student visit
24 September 2008
What do I do here?

• Associate Professor of
  Mathematics and Computing
  Science

• Came to FC in 2001

• Director of 3:2 dual degree
  program in engineering with
  Purdue University (IUPUI)

• Chair of Promotion and
  Tenure Committee

• Working with Math/
  Computing Club to create Pi
  Mu Epsilon chapter
Bachelor’s degree in    Master’s degree in
 Mathematics (1992)      Mathematics (1994)

(Started as psychology   Ph.D. in Mathematics
         major)                  (1997)
Mathematical background

 Topology: Study of properties
 that remain unchanged under
    continuous deformation


                                 ?




                                 ?
Current interests
 Cryptology: Communication in
 the presence of an adversary
    = codemaking/breaking
What cryptology involves
                                     ABSTRACT ALGEBRA
                           Groups; rings; fields; polynomials over finite
                                    field; permutation groups




                                   NUMBER THEORY
                       Prime numbers; factorization techniques; elliptic
                                curves; discrete logarithms

      CRYPTOLOGY

                                          PROBABILITY
                            Information theory; mathematical entropy;
                                  statistical attacks on ciphers




                                   COMPUTER SCIENCE
                          Analysis of algorithms; computational
                       complexity; writing efficient code for algorithms
Math questions I’m interested in


Are there efficient ways to break
  block ciphers, or strengthen
    them against breaking?



How can elliptic curves be used
   to create strong and fast
 ciphers? How can we break
         such ciphers?
What I teach

• Quantitative Reasoning

• Calculus Preparation

• Calculus I, II

• Methods of Problem Solving

• Linear Algebra

• Topics in Geometry

• Modern Algebra

• Occasional topics courses

• Interdisciplinary courses
Teaching stuff I am
interested in

• Web 2.0 technology in college
  math instruction: wikis, blogs,
  microblogging, social networks


• Integrating computer
  programming throughout the
  math curriculum


• Student-active teaching
  techniques


• Dynamic geometry software,
  spreadsheets, computer
  algebra systems
What my students are doing right now


         Calculus: Calculating derivatives using
          algebra, spreadsheets, and graphing
                        software

       Problem Solving: Constructing proofs for
        mathematical conjectures using classical
              logic and argumentation

          Geometry: Using dynamic geometry
        software to discover and prove theorems
                      about circles
What my students have done in the past




                            Online student solutions
Wiki on cryptology during
                            manual to prof’s course
      World War II
                            notes in Modern Algebra
Contact

• Email: rtalbert@franklincollege.edu

• IM: rtalbert235 (AOL) or robert.talbert (Google)

• Twitter: RobertTalbert

• Web page: http://www.roberttalbert.net

• Blog: http://castingoutnines.wordpress.com

• Presentations: http://www.slideshare.net/rtalbert (Includes this
  presentation)

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Presentation for WCHS dual-enrollment students

  • 1. Who am I, and why am I here? Robert Talbert, PhD WCHS student visit 24 September 2008
  • 2. What do I do here? • Associate Professor of Mathematics and Computing Science • Came to FC in 2001 • Director of 3:2 dual degree program in engineering with Purdue University (IUPUI) • Chair of Promotion and Tenure Committee • Working with Math/ Computing Club to create Pi Mu Epsilon chapter
  • 3. Bachelor’s degree in Master’s degree in Mathematics (1992) Mathematics (1994) (Started as psychology Ph.D. in Mathematics major) (1997)
  • 4.
  • 5. Mathematical background Topology: Study of properties that remain unchanged under continuous deformation ? ?
  • 6. Current interests Cryptology: Communication in the presence of an adversary = codemaking/breaking
  • 7. What cryptology involves ABSTRACT ALGEBRA Groups; rings; fields; polynomials over finite field; permutation groups NUMBER THEORY Prime numbers; factorization techniques; elliptic curves; discrete logarithms CRYPTOLOGY PROBABILITY Information theory; mathematical entropy; statistical attacks on ciphers COMPUTER SCIENCE Analysis of algorithms; computational complexity; writing efficient code for algorithms
  • 8. Math questions I’m interested in Are there efficient ways to break block ciphers, or strengthen them against breaking? How can elliptic curves be used to create strong and fast ciphers? How can we break such ciphers?
  • 9. What I teach • Quantitative Reasoning • Calculus Preparation • Calculus I, II • Methods of Problem Solving • Linear Algebra • Topics in Geometry • Modern Algebra • Occasional topics courses • Interdisciplinary courses
  • 10. Teaching stuff I am interested in • Web 2.0 technology in college math instruction: wikis, blogs, microblogging, social networks • Integrating computer programming throughout the math curriculum • Student-active teaching techniques • Dynamic geometry software, spreadsheets, computer algebra systems
  • 11. What my students are doing right now Calculus: Calculating derivatives using algebra, spreadsheets, and graphing software Problem Solving: Constructing proofs for mathematical conjectures using classical logic and argumentation Geometry: Using dynamic geometry software to discover and prove theorems about circles
  • 12. What my students have done in the past Online student solutions Wiki on cryptology during manual to prof’s course World War II notes in Modern Algebra
  • 13. Contact • Email: rtalbert@franklincollege.edu • IM: rtalbert235 (AOL) or robert.talbert (Google) • Twitter: RobertTalbert • Web page: http://www.roberttalbert.net • Blog: http://castingoutnines.wordpress.com • Presentations: http://www.slideshare.net/rtalbert (Includes this presentation)