Click on the links below to view past examples for PACM certificate students' independent work:
2025
Hyaline Chen "Free Independence and the Noncrossing Partition Lattice in Dual-Unitary Quantum Circuits"
Ron Shvartsman "Slender elastic filaments sedimenting through low-Reynolds number flows"
2024
Wolf Cukier "Dynamical Stability of Binary Planets in Compact Multi-Planetary systems"
Kimberly Shen "Savanna Forest Fires"
2023
Daniel Bauman "A Continuous Model of Nutrient Dynamics and N Fixation"
Robert Rubin "Ramsey number of nK4"
2022
Ryan Eusebi "Physics-Informed Neural Networks for Tropical Cyclone Data Assimilation and Modeling"
Ish Kaul "On 2D Plasma Drift Wave-Zonal Flow Interactions with Pseudo-Spectral Simulations"
2021
Juneseo Lee "Towards a Unified Model of Quantum Computation"
Arjun Mani "Representing Words in a Geometric Algebra"
Rohin McIntosh "CD8+ T-cell Epitope Presentation on MHC-1 as a Probability Space"
Emily Ryu "Bounding the Competition Complexity via Dual Flows, Discretizations, and Symmetries"
2020
Eitan Levin "3D AB Initio Modeling in Cryo-Em by Autocorrelation Analysis"
Georgy Noarov "Will it Rain Tomorrow? Incentivizing Experts via Binary Scoring Rules"
2019
Hrishikesh Khandeparkar "Theoretical Insights into Contrastive Unsupervised Representation Learning"
Rohit Dilip "Numerical Investigation of Triaxially Strained Graphene Under a Homogeneous Magnetic Field"
2018
Enric Boix "Clustering in the Geometric Block Model"
Ifunanya Nwogbaga "Characterizing the Spatial Morphologies and Temporal Dynamics of Biologically Inspired Multicomponent Systems"
2017
Lydia Liu "ePCA: High Dimensional Exponential Family PCA"
Phillip Etter "Discrete Time Propagation Graphs for Optical Scattering"
2016
Arka Adhikari "Convex Semi-definite Programs for the Fresco Problem"
Ofer Kimchi "A Model for Anesthetic Effects on Cell Membranes"
2015
Luca Iliesiu "Black Holes Stimulate Higgs Vacuum Decay"
Assimakis A. Kattis "Recreating the Czirok One-Dimensional Self-Propelled Particle Model"
2014
Yayoi Teramoto Kimura "The Mathematics of Patterns: The modeling and analysis of reaction-diffusion equations"
Alexander Iriza "An Approximation Algorithm for the Bipartite Grothendieck Problem"
2013
Angela Dai "Avalanches in Fractional Cascading"
Abulhair Saparov "Effects of Spike Shape on the Firing Dynamics and Synchronization Properties of Leaky Integrate and Fire Neurons with Dendritic Structure"
2012
Andrej Risteski "Skeletal Rigidity of Phylogenetic Trees"
Steven Kim "Mixing Time of a Rook's Walk"
2011
Lindsay Gorman "Scattering of Dirac Fermions in Barrier Geometrics on the Surface of Topological Insulators"
Gerrit van den Berg "Aggregation-based Learning in the Inverted Pendulum Problem"