Analysis Group

Seminars

Research directions

At Rochester, the analysis research group brings together complementary perspectives in harmonic and Fourier analysis, geometric measure theory, partial differential equations, and mathematical physics. Faculty research includes Fourier integral operators and geometric methods, nonlinear and dispersive PDE, kinetic theory, and mathematical models arising in physics and fluid dynamics, with connections to probability and applied mathematics.

Permanent Faculty

  • Xuwen Chen—Partial differential equations, mathematical physics
  • Dan-Andrei Geba—Partial differential equations, mathematical physics
  • Masha Gordina - Analysis, probability theory, geometry, mathematical physics
  • Alex Iosevich—Harmonic analysis, geometric measure theory, geometric combinatorics, analytic number theory
  • Jeffrey Kuan—Partial differential equations, deterministic and stochastic fluid dynamics, applied mathematics
  • Sasha Teplyaev - Analysis on fractals and metric measure spaces, spectral theory, Dirichlet forms, PDEs and boundary value problems on irregular domains, and spectral methods in data science.

Emeritus Faculty

Postdoctoral Faculty

  • Neeraja Kulkarni
  • Chamsol Park

Current Graduate Students

  • Kellen Adkins (Iosevich)
  • Will Burstein (Iosevich)
  • Shantanu Deodhar (Iosevich)
  • Zhihe Li (Iosevich)
  • Xingfa (Alex) Liu (Iosevich)
  • Haoyuan Tian (Iosevich)
  • Ella Yu (Iosevich)

Partial List of Past Graduate Students in Analysis with First or Current Positions

  • Pablo Bhowmick (Iosevich) - Ben Gurion University
  • Shengze Duan (Iosevich) - Technion University
  • Hari Nathan (Iosevich) - Binghamton University
  • Quy Pham (Greenleaf and Iosevich) - Virginia Tech
  • Firdavs Rakhmonov (2024, Iosevich) - St Andrews University
  • Donggeun Ryou (2024, Iosevich) - Indiana University
  • Alex McDonald (Iosevich) - Kennesaw State
  • Belmiro Galo (Iosevich) - Rensselaer
  • Brian McDonald (2023, Iosevich) - University of Georgia
  • Carlos Rojas Mena (2022, Greenleaf) - Applied Physics Laboratory, Johns Hopkins University
  • Brianna Vick (2021, Iosevich and Krishnan) - Tenure-track position at Clayton State University.
  • Bai Lin (2021, Geba) - Postdoc at Institute for Theoretical Sciences, Westlake University, China.
  • Nikolaos Chatzikonstantinou - (2020, Iosevich, Mkrtchyan) - Postdoc at Okinawa Institute of Science and Technology, Japan. 
  • Evan Witz (2020, Geba) - Analytical Consultant, Parker Avery Group.
  • Bochen Liu (2017, Iosevich) - Assistant Professor - Southern China University
  • Dee Ethier (2016, Iosevich and Pakianathan) - Industry
  • Brendan Murphy (2016, Iosevich and Pakianathan) - University of Bristol
  • Denitza Straub (2016, Greenleaf) - Rochester Institute of Technology
  • Michael Bennett (2015, Iosevich and Pakianathan) - Industry
  • Matthew Creek (2014, Geba) - MathWorks
  • Xiang Zhang (2013, Geba) - Rationalstone Capital
  • Daniel Oliveira da Silva (2012, Geba) - Nazarbayev University
  • Krystal Taylor (2012, Iosevich) - Associate Professor - Ohio State University
  • Suresh Eswarathasan (2011, Greenleaf) - Associate Professor - Dalhousie University
  • Emanuel Palsu-Andriescu (2008, Greenleaf) - Monmouth University
  • Sung Eun Kim (2007, Greenleaf) - Judson University
  • Rui Hu (2007, Greenleaf) - Bank of America, Charlotte
  • Raluca Felea (2004, Greenleaf) - Professor, Rochester Institute of Technology
  • Wan Tang (2004, Greenleaf) - Professor - Tulane University School of Public Health and Tropical Medicine
  • Zokhrab Moustafaev (2003, Gage) - University of Houston Clear Lake
  • Yilian Zhang (2003, Nachman) - University of South Carolina at Aiken
  • Matt Coppenbarger (2001, Lavine) - Rochester Institute of Technology
  • Shieh-shun Fu (1997, Greenleaf) - Fu Jen Catholic University, Taiwan
  • Jung-Soon Hyun (1997, Lavine) - Yeungnam University, Korea
  • Alina Stancu (1996, Gage) - Concordia University, Canada
  • Yingzhong Wen (1994, Gage) - Industry
  • Yong Jia Ma (1993, Greenleaf) - Industry
  • In-Suk Kim (1992, Lavine) - Won Kwang University, Korea
  • Andreas Arvanitoyeorgos (1991, Guest) - University of Patras, Greece
  • Jeff Oaks (1991, Gage) - University of Indianapolis
  • Jose Barrionuevo (1990, Greenleaf) - Instituto de Matematica, UFRGS, Brazil
  • Francisco Marhuenda (1990, Greenleaf) - Professor and Director of the Institue of Economics, Universidad Carlos III de Madrid, Spain
  • Min-Jei Huang (1988, Lavine) - National Tsing Hua University, Taiwan
  • Young-Do Chai (1987, Gage) - Sungkyunkwan University, Korea
  • Young-Hwa Ha (1987, Greenleaf) - Ajou University, Korea
  • Hann Tzong Wang (1987, Greenleaf) - Chung Yuan Christian University, Taiwan

Recent Advanced Graduate Courses

Spring 2022

Topics course: Topics in Partial Differential Equations
Instructor: Xuwen Chen

Spring 2021

Topics course: Topics in Harmonic Analysis
Instructor: Alex Iosevich

Spring 2020

Topics course: Topics in Partial Differential Equations
Instructor: Xuwen Chen

Fall 2019

Topics course: Topics in Pseudodifferential Operators
Instructor: Allan Greenleaf

Fall 2018

Topics course: An Introduction to Nonlinear Wave Equations
Instructor: Dan Geba

Spring 2018

Topics course: Topics in Harmonic Analysis
Instructor: Alex Iosevich

Fall 2017

Topics course: Topics in Inverse Problems
Instructor: Allan Greenleaf

Spring 2017

Topics course: Topics in Harmonic Analysis
Instructor: Alex Iosevich

Spring 2016

Topics course: Topics in Partial Differential Equations
Instructor: Xuwen Chen

Fall 2014

Topics course: Topics in Harmonic Analysis and Geometric Measure Theory
Instructor: Alex Iosevich

Spring 2014

Topics course: Fourier Analysis in Discrete, Continuous and Arithmetic Settings
Instructor: Alex Iosevich