Dr. Maria Cristina Pereyra
PhD., Yale University, 1993.
Harmonic Analysis.
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 AT math DOT unm DOt 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.
- Publications
- Books
- Invited Speaker
- Conferences organized recently
- 15th New Mexico Analysis Seminar February 19-21, 2016 - Albuquerque, NM.
- 14th New Mexico Analysis Seminar March 26-28, 2015 - Las Cruces, NM.
- AMS Southwestern Regional Meeting April 5-6, 2014 - Albuquerque, NM.
Special Session on Weighted Norm Inequalities and Applications.
- An Afternoon in Honor to Cora Sadosky April 4th, 2014 - Albuquerque, NM.
- 13th New Mexico Analysis Seminar April 3-4, 2014 - Albuquerque, NM.
- My 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).
The courses on Fourier analysis and Wavelets (Math 472/572) and
Harmonic Analysis (Math 565) will provide the foundations for this area
of research, 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 2015)
, 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 Fall Semester 2016
- Math 401/501:
Advanced Calculus I
- Math 472/572:
Fourier Analysis and Wavelets
- Office Hours
- Mon 3:30-5:00pm, Th 4:30-6:00pm.
- By appointment.
- I was the PI for a large NSF grant
Mentoring throught Critical Transition Points (MCTP)
for four years: 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 five years: 2012-2017. 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.
- Department's Graduate Chair AY2016-2017.
- 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. For the academic year 2016-17, Profs. Janet Vassilev and Daniel Appelo are in charge.
From 2008-2016 Profs. Janeth and Dmitry (Mitko) Vassilev were
in charge of the Contest, they received the contest torch from
Prof. Michael Nakamaye and Cathy Briand.
CONFERENCES ORGANIZED