Profile




Research





Teaching





Capstone Students


PhD Students






CNS WOMEN'S CAUCUS




 

 

Andrea R. Nahmod

Professor of Mathematics

 
Department of Mathematics and Statistics
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) umass dot edu




Profile

Click here  for some info.

 
Research

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. These are two areas that intimately relate to each other by way of decompositions, frequency interactions analysis and nonlinear estimates. 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.

Here are some of my Publications.

Research partially funded by the National Science Foundation, and by the Simons Foundation. 

                                                    SIMONS COLLABORATION ON WAVE TURBULENCE
                                          Simons Foundation Collaborations in Mathematics and Physical Sciences. 
                                                                        For more information click here. 

Past  Conferences, Special Programs and other Research Events :

                                                  ICERM SEMESTER PROGRAM ON : 

                                              Hamiltonian Methods in Dispersive and Wave Evolution Equations
                       
     Organizers:  D. Córdoba, E. Faou, P. Gérard, P. Germain, A. Ionescu, A. Kiselev, A. Nahmod, K. Nakanishi, B. Pausader, G. Staffilani and T. Sapsis

October 5, 2019, 9AM-6PM at UConn (Storrs).    All welcome!
                                                           
                                      Workshop for Northeast Women in PDE and Applied Math

                                Organizers:  Andrea R. Nahmod (UMass Amherst) and Xiaodong Yan (UConn, Storrs)

  Friday April 12th 2019, 12 Noon-6:30PM Lederle Tower 1634              

                   Rare Events, Information Theory, and Statistical Physics:  A Conference Celebrating Richard S. Ellis.  
    
Click here for Schedule, Title and Abstracts                                                             Click here for Conference Poster

                    New Challenges in PDE:  Deterministic Dynamics and Randomness in High and Infinite Dimensional Systems.
                                                                                        MSRI  Jumbo 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
                                                                                 Download the CJR Poster (click here)                                                                                                             

Teaching

Fall 2022:      Math 623 Real Analysis I  (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 Wave Equations.

Haitian Yue (PhD 2018) Nonlinear Dispersive PDEs.

Xueying Yu (PhD 2018)  Nonlinear Dispersive PDEs.

Michael Boratko(PhD 2018) Nonlinear Dispersive PDEs.

Dean Katsaros (current) Nonlinear Evolution PDEs.

REU and 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.

Scott Destromp  (2016 REU)  Research on Invariant Gibbs measures for 2D periodic NLS equations.