Capstone Students

PhD Students




Andrea R. Nahmod

Professor of Mathematics

Department of Mathematics
University of Massachusetts Amherst
  710 North Pleasant St.
Lederle Graduate Research Tower
Amherst, MA 01003-9305

Tel. (413) 545-6031
Fax (413) 545 1801

nahmod(at)math dot umass dot edu


Conferences and Special Programs:

                  New Challenges in PDE:  Deterministic Dynamics and Randomness in High and Infinite Dimensional Systems.
                                                                                        MSRI Program  Berkeley, CA
Fall 2015

                                                                An Afternoon in Honor of Cora Sadosky
                                                            A conference in Harmonic Analysis and Operator Theory.

       Friday April 4th, 2014 at University of New Mexico, Albuquerque.   

                                      Challenges in Geometry, Analysis and Computation: High Dimensional Synthesis                                                                                    A Conference in Honor of Ronald R.Coifman, Peter W. Jones and Vladimir Rokhlin
                                                                     June 4-6, 2012 at Yale University, New Haven, CT
                                                                                (Conference starts Sunday, June 3rd at 4PM.)
  Download the CJR Poster (click here)                                                                                


Click here for some more info.



My research lies at the overlap of Nonlinear Fourier Analysis/Harmonic Analysis and Nonlinear Partial Differential Equations integrating into it tools from geometry, gauge theory and probability.  In recent years, its main focus has been to investigate:
(i) the behavior of solutions to nonlinear dispersive equations arising as models both in Physics and in Geometry -both from a deterministic and nondeterministic viewpoint and 
(ii) wave-packet analysis techniques and multilinear singular pseudodifferential operators naturally arising in Analysis and PDE.
These are two areas that intimately relate to each other by way of decompositions, frequency interactions analysis and nonlinear estimates.

Here are some of my Papers and Preprints.


Spring 2017: 

                    Math 534H:  Introduction to PDE (Honors undergraduate course).

                                    Math 624:  Real Analysis II (Graduate Course).

PhD Students

Nikolaos Tzirakis (PhD 2004)   Nonlinear Dispersive PDEs. 

Tadahiro Oh (PhD 2007)   Nonlinear Dispersive PDEs. 

Viktor Grigoryan (PhD 2008) Geometric Nonlinear PDEs. 

Allison Tanguay
(PhD 2012) Nonlinear Fourier Analysis.

Haitian Yue (Current PhD student) Nonlinear Dispersive PDEs.

Xueying Yu (Current PhD student) Nonlinear Dispersive PDEs.

Michael Boratko(Current PhD student) Geometric Nonlinear PDEs.

Joy Yu (Current PhD student) Nonlinear Dispersive PDEs.

Capstone Students

Adam Cardenal-Stakenas (2001-2002;  REU and Capstone research semester)  Research on Fourier analysis, wavelet theory and signal recognition.

Nathan T. Senecal (2011-2012;  REU and Capstone research year) Research on Fourier analysis, geometry and combinatorics  

Derek M. Wood
(2011-2012;  Capstone research year) Research on Harmonic analysis and nonlinear dispersive PDEs.

Michael Breeling
(2012-2013;  Capstone research year)  Research on Fourier analysis, geometry and combinatorics  

Domonic Mei
(2012-2013;  Capstone research year) Research on Fourier analysis and analytic number theory.