Dr. Maria Cristina Pereyra

Professor Maria Cristina Pereyra
Department of Mathematics and Statistics
1 University of New Mexico
MSC01 1115
Albuquerque, NM 87131
Office: 320 SMLC
Phone: (505) 277-4613
Fax: (505) 277-5505
E-Mail: crisp@math.unm.edu

Biographical Sketch

RESEARCH

My area of research is Harmonic Analysis, with particular interest in dyadic harmonic analysis and weighted theory. A few years ago I played with wavelets, and recently got a book published on the subject .

• Publications , Books

• Invited Speaker

• My Graduate Students .
  
  To work with me in harmonic analysis you need to have a background in analysis, including: Real Analysis (Math 510-511), Complex Analysis (Math 561-562), Measure Theory (Math 563), Functional Analysis (Math 581-582).
  The courses on Fourier analysis and Wavelets (Math 472/572) and Harmonic Analysis (Math 565) will provide the foundations for the area... and this is just the begining... Perhaps the information posted in Math 565 - Harmonic Analysis (Spring 2008) , and in Math 572/472 - Fourier Analysis and Wavelets (Fall 2012) , can help you as a guide on what is expected and what are good reference books, as well as lecture notes.
  An analyst should have a broader background, the connections to differential equations, geometry and probability, are very important, and worth exploring. I would start making sure you have the basics: ODES/PDES (Math 512-513), (Topology/Differentiable manifolds) Math 535-536, Math 541 (Probability).
  Keep an eye open for special topics courses (e.g. Number Theory and Analysis, Pseudo-differential operators, Non-linear dispersive equations, Martingales, Quasi-conformal mappings, Global analysis, Operator theory, etc, etc, etc).
  Keep an eye open for colloquia and seminars, as my advisor Peter Jones told me when I was a student, attending seminars is like going to the opera, you might not understand a word of say, german, but you get the feeling...

TEACHING

• Courses for Spring Semester 2013
  • Math 306/506: College Geometry
    
  • Math 402/502: Advanced Calculus II
    
    • Office Hours
      
      • MW 5:15-6pm, Tu 1-2pm, Th 2-3pm and by appointment
      • By appointment.
  • Past courses
  • Minicourses
  
  
• I was the PI for a large NSF grant Mentoring throught Critical Transition Points (MCTP) for three years (non cost extension for the 4th year): 2008-2012. The funded activities include Summer Programs, Undergraduate Research Projects and Graduate Traineeships. I am CoPI of an even larger grant (PI is Professor Nitsche) MCTP for four years: 2012-2016. The funded activities involve Summer Programs, Undergraduate Research Projects, Graduate Traineeships, Postdoctoral Fellows, a strong education component targeting K12 teachers and outreach to schools promoting interaction between university and high school students.

• From Fall 2006-Summer 2009, I was the Department's Graduate Chair, in charge of overseeing all our Teaching and Research Assistants, and other graduate students. During my tenure we instituted the Academic Warm-up as part of the In-service Week.

NEW MEXICO MATH CONTEST

• From 1999-2005 I was in charge of writing and grading the New Mexico Math Contest exams. Starting the Academic year 2008-09 my colleagues Profs. Janeth and Dmitry (Mitko) Vassilev are in charge of the Contest, they received the contest torch from Prof. Michael Nakamaye and Cathy Briand.

CONFERENCES ORGANIZED RECENTLY

• AMS Southwestern Regional Meeting Special Session on Dyadic and non-Dyadic Harmonic Analysis, with Stephanie (Salomone) Molnar - Albuquerque, NM, April 17-18, 2010.
• Twelfth New Mexico Analysis Seminar - Albuquerque, NM, April 23-25, 2009.
• Eleventh New Mexico Analysis Seminar - Las Cruces, NM, April 4-6, 2008.
• AMS Southwestern Regional Meeting Special Session on Harmonic Analysis and Operator Theory, with Wilfredo Urbina
  - Albuquerque, NM, October 13-14, 2007.
• An Afternoon in Honor to Mischa Cotlar with Wilfredo Urbina
  - Albuquerque, NM, October 12, 2007.
• Tenth New Mexico Analysis Seminar - Albuquerque, NM, October 11-12, 2007.
• Ninth New Mexico Analysis Seminar - Albuquerque, NM, April 2006.
• CBMS Conference: Nonlinear and Dispersive Waves. Lecturer Terence Tao from UCLA - Las Cruces, NM, June 2005.
• Eifth New Mexico Analysis Seminar - Las Cruces, NM, June 2005.

  FUN PLACES

  • El Pais from Spain, is an excellent journal. Lots of news from Latin America and the world!

  Family Pictures

  • Spring 2008
    
  • Nicolas
    
  • Jose, memorial

  Return to: Department of Mathematics and Statistics, University of New Mexico.

  <crisp@math.unm.edu>
  Last updated: January 04, 2013