Â鶹ŮÀÉ

Education

• Ph.D. in Mathematics, Northwestern, 2012

Research Interests

Algebraic and analytic number theory; math education.

Research Description

In my own research, I solve algebraic problems using analytic and algebraic number theory techniques. I also enjoy thinking about my teaching, and I have explored student learning in calculus classes with a former colleague.

Recent Publications

• Units in Quadratic and Multi-quadratic Fields, with Adam Pratt and Mary-Stewart Wachter. Alabama Journal of Mathematics 41 (2017), p. 1-4.
  
  
• A multiquadratic field generalization of Artin's conjecture. Journal of Number Theory 170 (2017), p. 75-102.
  
  
• Digging in deep: From instrumental to logical understanding in calculus, with Douglas Riley. Proceedings of Special Interest Group of the MAA on Research in Undergraduate Mathematics Education (SIGMAA on RUME) 18 (2015), p. 908-912.
  
  
• Symmetries of fractual tilings, with Judith Palagallo. Fractals 16 (2008), no. 1, p. 69-78.

Scholarly Activities

I have worked for two summers with talented undergraduates on material related to my number theory research and sponsored nine senior research projects, two of which are published. I am a former McNair Scholar and have been involved with SACNAS (Society for Advancement of Chicanos/Hispanics and Native Americans in the Sciences ), PME (Pi Mu Epsilon Math Honors Society), and KME (Kappa Mu Epsilon Math Honors Society).of fractual tilings, with Judith Palagallo.