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Alexander A. Kiselev

William T. Laprade Distinguished Professor of Mathematics
Mathematics

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.
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 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.