Hubble image of the Carina nebula showing the turbulent effects

The Geometry of Flows

People

Principal Investigators

Collaboration and Affiliated Scientists

Camillo Brena

Camillo Brena (Camillo De Lellis' Group)
Affiliation: Postdoc, Institute for Advanced Study,
Email:cbrena@ias.edu 
Research topic: Geometric analysis and geometric measure theory
Biography:Camillo Brena received his PhD in September 2024 under the supervision of Luigi Ambrosio and Nicola Gigli, at Scuola Normale Superiore, Pisa. He is now a postdoctoral researcher at the Institute for Advanced Study, Princeton.

Emily Casey

Emily Casey (Max Engelstein's Group)
Affiliation: Postdoc associate, University of Minnesota
Email:ecasey@umn.edu 
Research topic: Geometric measure theory, Potential theory, Harmonic analysis
Biography: Emily Casey is a Dunham Jackson Assistant Professor (postdoc) at the University of Minnesota under the mentorship of Max Engelstein. She received her PhD in June 2025 from the University of Washington, under the supervision of Tatiana Toro and Bobby Wilson. In her thesis she studied characterizations of rough domains and measures via 20 geometric functions and singular integral operators. Education: PhD in Mathematics, University of Washington, 2025

Minki Cho

Minki Cho (Camillo De Lellis' Group)
Affiliation: Graduate Student, Princeton University
Email: minki.cho@princeton.edu 
Research topic: Geometric Measure Theory
Biography: Minki Cho is currently a Ph.D. student at Princeton University, advised by Prof. Camillo De Lellis. He obtained a Bachelor’s degree in Mathematics from Seoul National University. His research interest is in Geometric Measure Theory.

Matei Coiculesu

Matei Coiculescu (Camillo De Lellis' Group)
Affiliation: PhD Student, Princeton University
Emailcoiculescu@princeton.edu
Research topic: Mathematical Fluid Dynamics, Geometric Analysis, and Partial Differential Equations. Regularity and uniqueness problems related to the Navier-Stokes and Euler Equations. Riemannian geometry of Lie groups, on geometric flows on curves, and on the theory of viscosity solutions.
Biography: Matei Coiculescu is currently a Ph.D. student at Princeton University, advised by Prof. Camillo De Lellis. He obtained a Bachelor’s degree in Mathematics from Brown University.

Jaume de Dios Pont

Jaume de Dios Pont (Svitlana Mayboroda’s Group)
Affiliation: Faculty Fellow, NYU Center for data science.
Emailjaumededios@gmail.com
Research topic: Problems that combine mathematics with other areas, such as physics and theoretical computer science.
Biography: Jaume is a Faculty Fellow at the NYU Center for data science. He completed his PhD in Harmonic analysis at UCLA in 2023, under the supervision of Terence Tao, working in Fourier Analysis and its applications. Until December 2025 he was a postdoctoral researcher at ETH, working with Svitlana Mayboroda on problems in Spectral theory. He is generally interested in Harmonic analysis, PDE, and high dimensional geometry, and in using computational & machine-assisted methods to solve these types of problems. 

E Koenig
photo by Melanie Lex

E Koenig (Max Engelstein's Group)
Affiliation: graduate student at the University of Minnesota.
Email:koeni417@umn.edu
Research topic: harmonic analysis, geometric measure theory, and partial differential equations.
Biography: E Koenig is currently a Ph. D student at the University of Minnesota advised by Max Engelstein. They obtained a bachelor’s degree in mathematics from St. Olaf College. Their research interests include harmonic analysis, geometric measure theory, and partial differential equations.

Lachlan Lancaster

Lachlan Lancaster (David Spergel's Group)
Affiliation:Flatiron Research Fellow, Flatiron Institute
Emailllancaster@flatironinstitute.org
Research topic: Computational Fluid Dynamics and Astrophysics
Biography:Lachlan Lancaster completed his PhD in 2022 at Princeton University where he studied the effect of turbulent mixing on the dynamics of bubbles blown by stellar winds in star forming regions. From 2022 to 2025 Lachlan was a Junior Fellow in the Simons Society of Fellows working at Columbia University. Lachlan joined the Flatiron Institute in September of 2025.

Alberto Pacati

Alberto Pacati (Svitlana Mayboroda’s Group)
Affiliation: Graduate Student, ETH Zürich
Emailalberto.pacati@math.ethz.ch
Research topic: harmonic analysis, geometric measure theory and partial differential equations. Biography: Alberto Pacati is a PhD student at ETH Zürich under the supervision of Svitlana Mayboroda. He obtained a Master's degree in Mathematics from Università di Pisa.

Anna Skorobogatov

Anna Skorobogatova (Svitlana Mayboroda’s Group)
Affiliation: Postdoc, Institute for Theoretical Sciences, ETH Zürich
Email: Anna.skorobogatova@eth-its.ethz.ch 
Research topic: regularity for geometric variational problems and PDE problems
Biography: I am broadly interested in existence and regularity questions in geometric analysis, geometric measure theory and the calculus of variations. This includes questions concerning regularity, structure and classification for minimal surfaces and solutions to certain free boundary problems, and, more recently, regularity of solutions to the advection-diffusion (tracer) equation and their associated level sets.

Brent Tan

Brent Tan (Drummond Fielding's Group)
Affiliation: Postdoc at the Center for Cosmology and Particle Physics, Physics Department, New York University.
Email:zyt206@nyu.edu
Research topic: Working on state-of-the-art numerical simulations of turbulent flows and scalar mixing.
Biography: Brent earned his Ph.D. in Astrophysics from UC Santa Barbara and received his undergraduate degree from Carnegie Mellon University in Pittsburgh. Before that, he grew up in Singapore. His research has largely centered on the physics of multiphase gas, turbulence, and feedback in galactic atmospheres.

Pablo Tejerina

Pablo Tejerina Pérez (Raúl Jiménez's Group)
Affiliation:Predoctoral student, ICCUB
Email:pablo.tejerina@icc.ub.edu 
Research topic: Physics Informed Neural Networks (PINNs), theoretical cosmology, holography
Biography:I was born in Madrid, where I did my bachelors degree in physics. I did my masters in university of Barcelona, where I currently work on my PhD thesis. In the last, I study theoretical cosmology, and 19 application of PINNs (Physics Informed Neural Networks) to inverse problems in holography, turbulence, and other fields of physics.

Victoria Williamson

Victoria Williamson (Blakesley Burkhart's Group)
Affiliation:PhD Student, Rutgers University
Emailvw176@physics.rutgers.edu
Research topic: Turbulence, ISM, galaxy evolution
Biography:Victoria (Tori) is currently a PhD student at Rutgers University, advised by Prof. Blakesley Burkhart. She obtained a Bachelor's degree in Astrophysics from the University of Florida. Her research interests include turbulence in the interstellar medium, particularly using simulations and observational data to study star formation and galaxy evolution.

Ming-Yuan Yang

Ming-Yuan Yang (Camillo De Lellis' Group)
Affiliation: Math PhD student at Princeton University
Email:mc5366@princeton.edu
Research topic: PDE, incompressible fluid equations, geometric measure theory
Biography: I am a graduate student in the Department of Mathematics at Princeton University, under the supervision of Prof. Camillo De Lellis. My interests lie broadly in harmonic analysis and partial differential equations, particularly the incompressible fluid equations such as the Navier-Stokes 18 and Euler equations.