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) 2774613
Fax: (505) 2775505
EMail: 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.
 My Students
To work with me in harmonic analysis you need to have
a background in analysis, including: Real Analysis (Math 510511),
Complex Analysis (Math 561562), Measure Theory (Math 563),
Functional Analysis (Math 581582).
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 512513),
(Topology/Differentiable manifolds) Math 535536, Math 541 (Probability).
Keep an eye open for special topics courses (e.g. Number Theory and Analysis,
Pseudodifferential operators, Nonlinear dispersive equations, Martingales,
Quasiconformal 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 2015
 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): 20082012.
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: 20122016. 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 2006Summer 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 Warmup
as part of the Inservice Week.
NEW MEXICO MATH CONTEST
 From 19992005 I was in charge of writing and grading the
New
Mexico Math Contest exams. Starting the Academic year
200809 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

AMS Southwestern Regional Meeting
Special Session on Weighted Norm Inequalities and Applications,
with Oleksandra Beznosova and David CruzUribe
 Albuquerque, NM, April 56, 2014.

An Afternoon in Honor to Cora Sadosky
with Andrea Nahmod Wilfredo Urbina
 Albuquerque, NM, April 4, 2014.

Thriteenth New Mexico Analysis Seminar
 Albuquerque, NM, April 34, 2014.

AMS Southwestern Regional Meeting
Special Session on Dyadic and nonDyadic Harmonic Analysis,
with Stephanie (Salomone) Molnar  Albuquerque, NM, April 1718, 2010.

Twelfth New Mexico Analysis Seminar
 Albuquerque, NM, April 2325, 2009.

Eleventh New Mexico Analysis Seminar
 Las Cruces, NM, April 46, 2008.

AMS Southwestern Regional Meeting
Special Session on Harmonic Analysis and Operator Theory,
with Wilfredo Urbina
 Albuquerque, NM, October 1314, 2007.

An Afternoon in Honor to Mischa Cotlar
with Wilfredo Urbina
 Albuquerque, NM, October 12, 2007.

Tenth New Mexico Analysis Seminar
 Albuquerque, NM, October 1112, 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.
 Eigth New Mexico Analysis Seminar
 Las Cruces, NM, June 2005.
 First to sixth New Mexico Analysis Seminar Alternating between
Las Cruces and Albuquerque from 19992004. The 2004 NMAS was joint
witn an AMS meeting in Albuquerque in October 2004.
FUN PLACES

El Pais from Spain, is an excellent journal.
Lots of news from Latin America and the world!
Family Pictures
Return to:
Department of Mathematics and
Statistics,
University of New Mexico.
<crisp@math.unm.edu>
Last updated: August 15, 2015