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Minimal Surfaces
Mentor: Jonathan Lin
Mentee:
Prerequisites: Calculus III, Linear Algebra, Real Analysis, Intro to Proofs
Harmonic Analysis
Mentor: Hui Sun
Mentee:
Prerequisites: Real Analysis
Geometric Analysis Survey
Mentor: Kahnrad Braxton
Mentee:
Prerequisites: N/A
Algebraic Geometry and Calabi–Yau varieties
Mentor: Daniil Serebrennikov
Mentee:
Prerequisites: recommended basics of commutative algebra and complex geometry (but not required)
Mathematical Methods in Classical
Mechanics
Mentor: Mel Deaton
Mentee:
Prerequisites: Linear algebra, differential equations, and vector/multivariable calculus, and a college level physics class.
Introduction to the Wave Equations
Mentor: MyeongSeo Kim
Mentee:
Prerequisites: Calculus III, recommended: linear algebra, ODEs
Topology and Geometry in Physics
Mentor: Erick Solis
Mentee:
Prerequisites: Real Analysis
MCM Mathematical Modeling
Mentor: Kaleigh Rudge
Mentee:
Prerequisites: Calculus, ODEs, basic coding
Noise Contrastive Diffusion with SMC
Mentor: Matheau Santana-Gijzen
Mentee:
Prerequisites: Elementary Probability, Coding (Python)
Benchmarking of Warm-start Sampling Methods
Mentor: Matheau Santana-Gijzen
Mentee:
Prerequisites: Elementary Probability, Coding (Python)
Spin Glass
Mentor: Songtao Mao
Mentee:
Prerequisites: Linear Algebra, Introductory Probability
PDEs and Fluid Dynamics
Mentor: Matthew Hudes
Mentee:
Prerequisites: a course in Real Analysis or in PDEs
Full Project Proposals with detailed abstracts can be found here!
Organizers: Kaleigh Rudge & Hui Sun