Undergraduate research
AMSURE
Each summer the RTG hosts an undergraduate summer research program, coordinated by RTG postdocs and graduate students. Students perform research under the guidance of a faculty or postdoctoral mentor, they attend and present in group meetings, and write a final research report with the help of the coordinators. Students also present their research to the RTG community and the broader department.
Below are some projects that have been done in the AMSURE program.
AMSURE 2023
The AMSURE 2023 program took place May 22July 28 in the summer of 2023, and was coordinated by Olivia Pomerenk, Ryan Shìjié Dù, and Fortino Garcia. Below is a list of students, their mentors and projects (topics, slide decks, and reports).

Arpita Kanrar, Storm tracks in a moist shallow water atmosphere (Olivier Pauluis, Marguerite Brown). Final report .

Billy Ning, Moist Rayleigh–Bénard convection: investigation of different convective regimes (Olivier Pauluis, MuHua Chien). Final report

Joonsoo Lee, Controlling a stochastically forced harmonic oscillator (Georg Stadler, Shanyin Tong). Final report .

Charlie Chen, On the global minimum convergence of nonconvex deterministic functions via stochastic approximation (Stefano Martiniani, Granming Zhang). Final report

Kai Hung, Variability reduction with optimal transport (Andrew Lipnick, Ryan Dù, Nina Mortensen, Esteban G. Tabak). Final report .

Ibrohim Nosirov, Fast linear system solve via subspace iteration (Chris Musco, Jonathan Weare). Final report .

Orion Yang and Carmel Pe’er, Information theory for neuroscience (Shivang Rawat, Mathias Casiulis, Stefano Martiniani). Final report .

Yifei Zhu, Symmetry breaking phenomenon in free floating and melting ice (Leif Ristroph, Mac Huang, Tiffany Li).

Daniel Wang, Clustering with general costs (Andrew Lipnick, Ryan Dù, Nina Mortensen, Esteban G. Tabak). Final report
AMSURE 2022
The students that participated in the inperson 10week program in the summer of 2022 (late MayJuly), and their projects/mentors, are:

Emma Modrick, Role of turbulent flows in plankton ecology (Smith)

Edward Gilman, Rectified motion induced by nonantiperiodic excitations (Aref Hashemi)

Alison Tatsuoka, Internal gravity waves in timedependent stratifications (Samuel Boury)

Pietro Topa, Aerodynamic stability of gliding and soaring flyers (Leif Ristroph)

Nigel Shen, Improving the particle in cell method for plasma simulation (Antoine Cerfon)

Athena Liu & Emily Bunnapradist , Efficient and interpretable modeling of cortical network dynamics through machine learning (Megan Morrison and ZhuoCheng Xiao)

Winston Liang, Analyzing how limit cycles turn active matter into robots (Bob Kohn)

Julie Zhu, Optimization for designing quantum logic gates (Georg Stadler and Fortino Garcia)

Eleven Chen, Simulation of a rotating cylinder in gravitational flow , see also movie below (Charles Peskin)
AMSURE 2021
The AMSURE program will take place from June 1st  July 30th 2021, most likely in virtual format but with potentially some inperson activities. The following students will take part in the program:

Sara Yacoub
Mentor: Laurel Ohm
Pattern Formation in Active Suspensions 
Sean Mackin
Mentor: Andrew Davis
Graphtheoretic Markov Methods for Modelling Arctic Sea Ice 
Johanna McCombs
Mentors: Sophie Marbach and Brennan Sprinkle
Particle Fluctuations in Ion Channels (see also this presentation ) 
William Lu
Mentor: Forian Wechsung
Faster solution of multiple linear systems via Block Conjugate Gradient (see also this presentation ) 
Liam Carpenter
Mentor: Silvia Espinosa
Simulating Poloidal Impurity Variation in the Tokamak Edge 
Mengjian Hua
Mentor: Charlie Peskin
An Analysis of the Numerical Stability of the Immersed Boundary Method (see also this ArXiv paper preprint) 
Khola Jamshad
Mentor: Charlie Peskin
Chirality in Modelling of Nodal Cilia Movement 
Kerun Xu
Mentor: Miranda HolmesCerfon
Improvement of MetropolisHastings Algorithm on Manifold 
Mian Wang
Mentor: Yunan Yang
Steadystate solution for the Continuity Equation 
Kishore Basu
Mentors: Aleks Donev and Ondrej Maxian
ReactionDiffusion Modelling for the CrossLinking of Actin Gels (see movie below from this presentation )
AMSURE 2020
While the AMSURE program was cancelled in the Summer of 2020 due to the Covid pandemic, there were a number of students that were transfered into the SURE program and cofunded, and did research remotely on the following projects:
 Modeling and Simulation of Bacteria Population Dynamics using Markov Chain, Amy Dai with Eric VandenEijnden as mentor.
 Mathematical Model for an Optimally Fenestrated Fontan Circulation, Zan Ahmad with mentor Charles Puelz.
 Inverse Scattering and RiemannHilbert Problems, Ron Nissim with mentor Perci Deift.
 Latent Factor Discovery in Markov Process through Optimal Transport, Nhi Pham with mentor Esteban Tabak.
 Optimal Transport Based Incomplete Data Clustering and Imputation, Junyi Bob Zou with mentor Esteban Tabak.
 Active Particles in Active Environments, Tanya Wang with mentors Sophie Marbach and Ruben Zakine (see movie below).
AMSURE 2019
The AMSURE 2019 program took place May 28Aug 2 in the summer of 2019, and was coordinated by Rob Webber and Charles Puelz. Below is a list of students, their mentors and projects (topic and reports).
1. Vaisnav Gajaraj
Mentor: Esteban Tabak
Weighted Adaptive Optimal Transport Using Quasi Newton Methods
2. Paulina Czarnecki
Mentors: Calina Copos and Jennifer Crodelle
Building a mathematical model of the Merkel cell
3. Zach Danial
Mentor: Charles Puelz
Modeling Differences between Therapeutic Plasma Exchange Configurations
4. Alexandre Milewski
Mentor: Esteban Tabak
A Minmax algorithm for Optimal Transportation
5. Yuliang "Scott" Shi
Mentor: Charles Peskin
Synchrony and Asynchrony of a Neural Population with Spontaneous Leaking and Shunting Inhibitions
6. Guanhua Sun
Mentor: Miranda HolmesCerfon
The Dynamics of a Polygon in a Swirling System
(see below)
AMSURE 2018
The AMSURE 2018 program took place May 29Aug 3 in the summer of 2018, and was coordinated by Jason Kaye and Pejman Sanaei. Below is a list of students, their mentors and projects (topic and reports).
1. Peilin Zhen
Mentor: Dimitris Giannakis
ENSO Forecasting Using Reproducing Kernel Hilbert Spaces
2. Alexandra Kuznetsov
Mentor: Charlie Peskin
Fluid Dynamics of Fetal Circulation
3. Taylor Meredith
Mentors: Jennifer Crodelle & Calina Copos
A Mathematical Model of the Neuromuscular Junction and Muscle Contraction
4. Nick Lewis
Mentor: Leif Ristroph
Force Analysis on Swimming Bodies in Stable Configurations
5. Ling Lan
Mentor: Miranda HolmesCerfon
SelfFolding Metasheets: Folded States and Assignments of Fewest Creases
6. Tianrui Xu
Mentor: Charlie Peskin
Mathematical Models for Red Blood Cells
(see
animation
below)