2024 Summer Collaborators

Topic of Research: Homotopy Theoretic Structures in Floer Theory

Lead Collaborator: Johan Asplund

Additional Collaborators: Yash Deshmukh and Alex Pieloch

Summary

Article from the collaboration: https://arxiv.org/abs/2411.08841 

Article from the collaboration: https://urldefense.com/v3/__https://arxiv.org/abs/2511.09548__;!!NubF!K_q5huQ6hTPwJxVryLQud1J2cIs_j8kwlo4TfUtFEyMCEcvoWkx9SfjQ1G7I0AkB6X2U4J3-qGmeEsnKq7A$

Topic of Research: Wave Turbulence in the Presence of Dispersion

Lead Collaborator: Xueying Yu

Additional Collaborators: Zongyuan Li, Weinan Wang and Zhiyuan Zhang

Summary

Topic of Research: Problems on Heights and CM-fields

Lead Collaborator: Shabnam Akhtari

Additional Collaborators: Jeffrey Vaaler and Martin Widmer

Summary

Topic of Research: Detecting Non-fillability of Boundaries of Concave Plumbings via Pseudoholomorphic Curves

Lead Collaborator: Ana Rechtman

Additional Collaborators: Aleksandra Marinkovic, Jo Nelson, Laura Starkston, Shira Tanny and Luya Wang

Summary

Topic of Research: Derived Differential Operators

Lead Collaborator: Eamon Quinlan-Gallego

Additional Collaborators: Jack Jeffries, Devlin Mallory, Claudia Miller and Josh Pollitz

Summary

Topic of Research: Ising Universality in the Two-Dimensional Blume-Capel Model

Lead Collaborator: Christoforos Panagiotis

Additional Collaborators: Trishen Gunaratnam, Dmitrii Krachun and Romain Panis 

Summary

Topic of Research: Existence of Compact Homogeneous Einstein Metrics

Lead Collaborator: Catherine Searle

Additional Collaborators: Isabel Beach, Adriana Haydee Contreras Peruyero, Erin Griffin, Megan Kerr and Regina Rotman

Summary