Presentations, Performances & Exhibitions
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
The flow of polynomial roots under differentiation
- Colloquium
· October 2023
Invited Talk
University of Alberta,
Edmonton, 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"
The flow of polynomial roots under differentiation
- PDE and Analysis seminar
· February 2022
Invited Talk
UNC Chapel Hill,
Chapel Hill
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".
Small scale formation in solutions of active scalar equations
- Nonlinear Analysis Seminar
· December 2021
Invited Talk
Rutgers University
Small scales and singularity formation in fluid mechanics
· November 2021
Lecture
Moscow Paris Seminar Dynamical Systems and PDE,
online
Chemotaxis and Reactions in Biology
- Virtual Analysis and PDE
· November 2021
Lecture
UC Irvine and UC San Diego,
online
The flow of polynomial roots under differentiation
- Colloquium
· November 2021
Invited Talk
Stony Brook University
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
- Mathematical Challenge of Quantum Transport in Nanosystems
· September 2021
International Meeting or Conference
ITMO, St. Peterburg
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 scales formation in fluids
- Industrial Mathematics Seminar
· October 2020
Broadcast Appearance
St Petersburg State University,
online
Two one hour online lectures
Small scale formation in solutions of active scalar equations
- Applied Mathematics seminar
· October 2020
Invited Talk
USC,
online
One hour lecture
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
Chemotaxis and reactions in biology
- KI-Net "Research on weekend"
· September 2019
Instructional Course, Workshop, or Symposium
University of Maryland
Small scale creation for the SQG equation
- Formation of small scales in nonlinear PDEs
· September 2019
International Meeting or Conference
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
Small scale creation in fluid mechanics
· February 2019
Invited Talk
University of South Carolina
A series of two one hour lectures.
On 1D models of Hou-Luo scenario
· February 2019
Lecture
Brown University
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.
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
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).
Supervisor, DoMath project
·
June 2020
- July 2020
Professional Development
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.
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.
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
Co-organizer, Undergraduate Research Symposium
·
October 2021
Professional Development
Duke University
United States
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.
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
Appointments (Department)
·
2017
- 2018
Committee Service
Served as one of three reviewers of the tenure file for Natasa Pavlovic.
Postdoctoral Appointments (Department)
·
2017
- 2018
Committee Service
Committee in charge of reviewing the files and making postdoctoral appointment recommendations.
Leadership & Clinical Positions
Managing Editor of Duke Mathematical Journal, 2022 - current
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.