The flow of polynomial roots under differentiation
- Colloquium
· October 2023
Invited Talk
University of Alberta,
Edmonton, Canada
Regularity of vortex and SQG patches
- Workshop ``Fluid Equations, A Paradigm for Complexity: Regularity vs Blow-up, Deterministic vs Stochastic"
· October 2023
Invited Talk
Banff International Research Station,
Banff, Canada
Suppression of chemotactic singularity by buoyancy
- Workshop ``New Trends in Fluids and Collective Dynamics"
· July 2023
Invited Talk
Banff International Research Station,
Banff, Canada
Suppression of chemotactic singularity by buoyancy
- Conference ``Shocking Developments: New Directions in Compressible and Incompressible Flows"
· June 2023
Invited Talk
Max Planck Institute for Mathematics in the Sciences,
Leipzig, Germany
Regularity of vortex and SQG patches
- 2023 Spring Fluid PDE workshop
· April 2023
Invited Talk
Seoul National University,
The flow of polynomial roots under differentiation
- Colloquium
· October 2023
Invited Talk
University of Alberta,
Edmonton, Canada
Regularity of vortex and SQG patches
- Workshop ``Fluid Equations, A Paradigm for Complexity: Regularity vs Blow-up, Deterministic vs Stochastic"
· October 2023
Invited Talk
Banff International Research Station,
Banff, Canada
Suppression of chemotactic singularity by buoyancy
- Workshop ``New Trends in Fluids and Collective Dynamics"
· July 2023
Invited Talk
Banff International Research Station,
Banff, Canada
Suppression of chemotactic singularity by buoyancy
- Conference ``Shocking Developments: New Directions in Compressible and Incompressible Flows"
· June 2023
Invited Talk
Max Planck Institute for Mathematics in the Sciences,
Leipzig, Germany
Regularity of vortex and SQG patches
- 2023 Spring Fluid PDE workshop
· April 2023
Invited Talk
Seoul National University,
Small scale creation in active scalars
- Spring UNIST PDE workshop
· April 2023
Keynote/Named Lecture
UNIST,
Ulsan, South Korea
Two keynote lectures in the workshop
Suppression of chemotactic singularity by buoyancy
· February 2023
Invited Talk
National University of Singapore,
Singapore
Regularity of vortex and SQG patches
- Analysis seminar
· January 2023
Invited Talk
Institute for Advanced Study,
Princeton, NJ
Regularity of vortex and SQG patch evolution
- MathFlows Conference
· December 2022
International Meeting or Conference
CIRM,
Marseille, France
An invited talk at MathFlows Conference.
The flow of polynomial roots under differentiation
- PDE and Geometric Analysis seminar
· October 2022
Invited Talk
UW-Madison,
Madison, WI
"Singularities in differential equations"
- Undergraduate Symposium
· September 2022
Lecture
Duke University,
Durham
A talk given to undergraduate students as a part of RTG sponsored symposium
Two stories in PDE
- Summer School on Partial Differential Equations
· August 2022
Instructional Course, Workshop, or Symposium
University of Texas,
Austin
A series of five lectures on patch evolution dynamics and on polynomial roots under differentiation.
On regularity and ill-posedness of patch evolution
- AIM Square "Towards a 3D Euler singularity"
· July 2022
Invited Talk
AIM Institute,
San Jose
A presentation made to the researchers attending the Square
Regularity of vortex and SQG patches
- Workshop ``Small scale dynamics in fluid motion"
· June 2022
International Meeting or Conference
Simons Center, Stony Brook University,
Stony Brook, NY
An invited talk at a Workshop ``Small scale dynamics in fluid motion"
The flow of polynomial roots under differentiation
- SIAM webinar in the Analysis and Methods of PDE
· June 2022
Invited Talk
SIAM,
webinar
The webinar is devoted to presentation based on the best articles published by SIAM Journal of Mathematical Analysis in a given year.
Ill-posedness of vortex and SQG patches
- Workshop "Criticality and stochasticity in quasilinear fluid systems"
· May 2022
International Meeting or Conference
AIM Institute,
San Jose
An invited talk at AIM workshop "Criticality and stochasticity in quasilinear fluid systems"
Small scale creation in active scalars
- Workshop
· February 2022
International Meeting or Conference
Newton Institute,
Cambridge, UK
An invited talk at a workshop "Rigorous analysis of incompressible fluid models and turbulence".
The flow of polynomial roots under differentiation
- PDE and Analysis seminar
· February 2022
Invited Talk
UNC Chapel Hill,
Chapel Hill
Small scale formation in solutions of active scalar equations
- Nonlinear Analysis Seminar
· December 2021
Invited Talk
Rutgers University,
Chemotaxis and Reactions in Biology
- Virtual Analysis and PDE
· November 2021
Lecture
UC Irvine and UC San Diego,
online
Small scales and singularity formation in fluid mechanics
· November 2021
Lecture
Moscow Paris Seminar Dynamical Systems and PDE,
online
The flow of polynomial roots under differentiation
- Colloquium
· November 2021
Invited Talk
Stony Brook University,
The flow of polynomial roots under differentiation
- Mathematical Challenge of Quantum Transport in Nanosystems
· September 2021
International Meeting or Conference
ITMO, St. Peterburg,
Singularity formation in a boundary layer model of the Hou-Luo scenario
- Singularity Formation in Nonlinear PDE
· September 2021
International Meeting or Conference
Banff International Research Station,
online
The flow of polynomial roots under differentiation
- One World PDE seminar
· April 2021
Invited Talk
University of Bath,
online
The flow of polynomial roots under differentiation
- Seminar on Fluids
· March 2021
International Meeting or Conference
MSRI,
online
The flow of polynomial roots under differentiation
- Applied Mathematics Seminar
· February 2021
Invited Talk
Stanford University,
online
The flow of polynomial roots under differentiation
- Long time behavior and singularity formation in PDE
· January 2021
International Meeting or Conference
Institute for Turbulence Research,
Abu Dhabi
Small scales and singularity formation in fluid mechanics
- Colloquium
· November 2020
Invited Talk
University of Minnesota ,
online
One hour lecture
Small scale formation in solutions of active scalar equations
- Applied Mathematics seminar
· October 2020
Invited Talk
USC,
online
One hour lecture
Small scales formation in fluids
- Industrial Mathematics Seminar
· October 2020
Broadcast Appearance
St Petersburg State University,
online
Two one hour online lectures
Small scales and singularity formation in fluid mechanics
- Harbin Institute of Technology summer school
· July 2020
Broadcast Appearance
Harbin Institute of Technology,
online
Online lecture, broadcast widely
Small scale creation in fluid mechanics
· December 2019
Invited Talk
Virginia Tech ,
Small scale creation for the SQG equation
- Formation of small scales in nonlinear PDEs
· September 2019
International Meeting or Conference
University of Maryland,
Chemotaxis and reactions in biology
- KI-Net "Research on weekend"
· September 2019
Instructional Course, Workshop, or Symposium
University of Maryland,
Growth of derivatives in solutions of the SQG equation
- AIM Square meeting on 3D Euler equation
· August 2019
Instructional Course, Workshop, or Symposium
American Institute of Mathematics,
Regularity and blow up in active scalars
- Summer School on Fluid Dynamics, six hour course
· June 2019
Instructional Course, Workshop, or Symposium
CIME,
Cetraro, Italy
Small scales in solutions of the 2D Euler equation
· April 2019
Lecture
NC State University ,
Small scale creation in fluid mechanics
- Workshop Essence of (u \cdot \nabla) u: Reflections on Mathematical Fluid Dynamics
· March 2019
Keynote/Named Lecture
University of Virginia,
Singularity and small scale formation in fluids
· March 2019
Instructional Course, Workshop, or Symposium
University of Pittsburgh,
A series of four one hour lectures.
Understanding the Hou-Luo singular scenario
- Workshop on Fluid turbulence and Singularities of the Euler/Navier Stokes equations
· March 2019
Invited Talk
Harvard University,
On 1D models of Hou-Luo scenario
· February 2019
Lecture
Brown University,
Small scale creation in fluid mechanics
· February 2019
Invited Talk
University of South Carolina,
A series of two one hour lectures.
Small scale creation in fluid mechanics
- 12th Brooke Benjamin Lecture
· January 2019
Keynote/Named Lecture
University of Oxford,
An annual lecture on broadly defined fluid mechanics run by the University of Oxford in honor of Prof. Brooke Benjamin.
Small scale creation in fluids
- Colloquium
· November 2018
Invited Talk
University of Toronto,
Small scale creation in fluids
- Analysis seminar
· November 2018
Invited Talk
Kent University,
Small scale creation in fluids
- 82nd Midwest PDE seminar
· October 2018
Invited Talk
Enhancement of reactions by chemotaxis
· August 2018
Invited Talk
Banff International Research Station,
Three one hour lectures
Small scale creation in fluids
- Workshop on Mathematical fine structures in fluid dynamics
· June 2018
- June 2018
Invited Talk
Gran Sasso Science Institute, l'Aquila, Italy,
Intorduction to Fluids
- Summer Workshop in Math (SWiM)
· June 2018
Lecture
Duke University,
A program for
female rising senior high school students who are interested and talented in mathematics.
Growth in solutions of 2D Euler equation
- Colloquium
· April 2018
Invited Talk
UCSD,
Small Scale and Singularity Formation in Fluid Mechanics
- SIAM conference on Partial Differential Equations
· December 2017
National Scientific Meeting
A regular annual PDE meeting of the Society for Industrial and Applied Mathematics. Invited talk, 45 minutes.
Suppression of chemotactic explosion by fluid flow
- SIAM conference on Partial Differential Equations
· December 2017
Invited Talk
A sectional talk, 25 minutes
Regularity Properties of Euler Alignment System
- Reaction-Diffusion, Propagation, and Modelling
· November 2017
International Meeting or Conference
Institut Henri Poincare,
Small scale creation in solutions of the 2D Euler equation
- Analysis seminar
· October 2017
Invited Talk
UNC Chapel Hill ,
Regularity and Blow Up for Active Scalars
- Analysis seminar
· September 2017
Invited Talk
Princeton University,
Small scale creation in solutions of the 2D Euler equation
- PDE seminar
· September 2017
Invited Talk
Georgia Tech ,
Singularity formation in modified SQG patches
- Workshop Irregular transport: analysis and applications
· July 2017
International Meeting or Conference
University of Basel,
Singularity Formation in Models of Fluid Mechanics
- Summer school: Various Aspects of Mathematical Physics
· July 2017
Instructional Course, Workshop, or Symposium
Euler Institute ,
Regularity and Blow Up for Active Scalars
- Summer School and Workshop: Mathematical Analysis of Water Waves and Related Models
· June 2017
Instructional Course, Workshop, or Symposium
UC Davis,
Enhancement of Biological Reactions by Chemotaxis
- Colloquium
· April 2017
Invited Talk
University of Miami,
Small scale creation in solutions of the 2D Euler equation
- Colloquium
· March 2017
Invited Talk
USC,
Outreach & Engaged Scholarship
Co-organizer - Undergraduate Research Symposium · October 2021
Professional Development
Duke University
United States of America
The goal of the Undergraduate Research Symposium is to provide students with experience of delivering conference talks, foster student-faculty connections, help students prepare for graduate school applications, and serve as a recruitment tool.
Supervisor - DoMath project · June 2020
- July 2020
Professional Development
Service to the Profession
NSF grant panel
·
October 2023
Consulting
National Science Foundation,
Alexandria, Virginia
Committee member
- Stefan Bergman Fellowship committee
·
2023
Committee Service
American Mathematical Society,
Online
Managing Editor
- Duke Mathematical Journal
·
January 2022
Editorial Activities
Responsible for handling about 800 papers a year, with help from another managing editor and editorial assistant. Also responsible for selection of editorial board and development of journal procedures.
NSF grant panel
·
October 2021
Consulting
During most years I participate in the NSF grants panel (the Analysis and Applied Mathematics programs).
Coordinating Editor
- Memoirs of the AMS
·
February 2019
- February 2021
Editorial Activities
Responsible for regular editorial duties in a given queue, but also for overseeing and confirming/denying acceptance decisions by all other editors (4) in the field of PDE. Handling on average 20 papers per year.
NSF grant panel
·
October 2023
Consulting
National Science Foundation,
Alexandria, Virginia
Committee member
- Stefan Bergman Fellowship committee
·
2023
Committee Service
American Mathematical Society,
Online
Managing Editor
- Duke Mathematical Journal
·
January 2022
Editorial Activities
Responsible for handling about 800 papers a year, with help from another managing editor and editorial assistant. Also responsible for selection of editorial board and development of journal procedures.
NSF grant panel
·
October 2021
Consulting
During most years I participate in the NSF grants panel (the Analysis and Applied Mathematics programs).
Coordinating Editor
- Memoirs of the AMS
·
February 2019
- February 2021
Editorial Activities
Responsible for regular editorial duties in a given queue, but also for overseeing and confirming/denying acceptance decisions by all other editors (4) in the field of PDE. Handling on average 20 papers per year.
Coordinating Editor
- Transactions of the AMS
·
February 2019
- February 2021
Editorial Activities
Responsible for regular editorial duties on a given queue, but also for overseeing and confirming/denying acceptance decisions by all other editors (4) in the field of PDE. Handling on average 120 papers per year.
Associate Editor, Dynamics of PDE
·
September 2017
Editorial Activities
Handling on average 3 papers per year.
Editorial Board, Nonlinearity
·
January 2017
- December 2021
Editorial Activities
Handling on average 50 papers per year.
Editorial Board, Transactions of the AMS
·
February 2013
- February 2021
Editorial Activities
Editorial Board, Memoirs of the AMS
·
January 2013
- February 2021
Editorial Activities
Associate Editor, Communications in Mathematical Sciences
·
January 2011
Editorial Activities
Handling on average 5 papers per year.
Service to Duke
Tenure-track hiring committee
(Department)
·
November 2021
Committee Service
Promotion to Professor, Chair
(Department)
·
2020
Committee Service
Promotion to tenure
(Department)
·
2020
Committee Service
Chair of a Committee
·
September 2019
Professional Development
A chair on a full professor promotion committee.
Appointments
(Department)
·
2018
- 2019
Committee Service
Tenure-track hiring committee
(Department)
·
November 2021
Committee Service
Promotion to Professor, Chair
(Department)
·
2020
Committee Service
Promotion to tenure
(Department)
·
2020
Committee Service
Chair of a Committee
·
September 2019
Professional Development
A chair on a full professor promotion committee.
Appointments
(Department)
·
2018
- 2019
Committee Service
Postdoctoral Appointments
(Department)
·
2017
- 2018
Committee Service
Committee in charge of reviewing the files and making postdoctoral appointment recommendations.
Appointments
(Department)
·
2017
- 2018
Committee Service
Served as one of three reviewers of the tenure file for Natasa Pavlovic.
Academic & Administrative Activities
I serve as the PI on the NSF-RTG grant involving multiple personnel across different levels, and as the PI on two individual NSF grants. As an RTG PI, I oversee and coordinate a wide range of activities, including summer schools, undergraduate research symposia, working seminars, special semesters and undergraduate research.
I currently advise or co-advise two postdoctoral fellows, two graduate students, and four undergraduates.
I am in charge of organizing the semester REU program for several undergraduate students that is a part of the RTG project that has run for the past two years and is currently recruiting for 2024.