UConn

Haverford College

Wesleyan University

Massachusetts Institute of Technology

University of Texas at Arlington

Texas State University

University of Hartford

Swarthmore College

Appalachian State University

University of California Santa Cruz

Hamilton College

Brown University

Giorgos studies Math and Physics at Grinnell College.

Sarah Boese studies math at Vassar College, where next year she will serve as an intern for the math department. Last semester, she studied abroad in Budapest, participating in the Budapest Semesters in Mathematics program. There, she focused on Abstract Algebra and Combinatorics. She loves to cook and hike. Sarah regularly eats cake for breakfast.

Fractal Project: Resistance scaling on the Octacarpet

Tracy studies discrete math and logic at Carnegie Mellon University in Pittsburgh, PA, where she works as a TA. Tracy also participates in Game Creation Society and Flute Choir. Tracy occasionally eats cake for breakfast. 

Fractal Project: Resistance scaling on the Octacarpet

Fractal Project: Decimation structure of the spectra of self-similar groups.

Sam is a mathematics and economics major at Willamette University in Salem, Oregon. At Willamette, Sam works in the offices of Admission and Community Service in addition to tutoring students in math courses. Sam is an avid hiker and backpacker and loves to sing and make music. Sam never eats cake for breakfast. 

Fractal Project: Can we hear the shape of a fractal? Spectral analysis of self-similar sets.

Fractal Project: Can we hear the shape of a fractal? Spectral analysis of self-similar sets.

Fractal Project: Decimation structure of the spectra of self-similar groups.

Fractal Project: Decimation structure of the spectra of self-similar groups.

Stochastics Project:  Financial Math: Portfolio Optimization and Dynamic Programming.

Stochastics Project:  Financial Math: Portfolio Optimization and Dynamic Programming.

Stochastics Project:  Financial Math: Portfolio Optimization and Dynamic Programming.

Fractals Project: Geodesic Interpolation on the Sierpinski Gasket.

Stochastics Project:  Financial Math: Portfolio Optimization and Dynamic Programming.

Fractals Project: Computations on the Koch Snowflake with Boundary and Interior Energies.

Fractals Project: Lipschitz Continuity of Laplacian Eigenfunctions on a class of post-critically finite (PCF) self-similar sets.

Fractals Project: Geodesic Interpolation on the Sierpinski Gasket.

Fractals Project: Computations on the Koch Snowflake with Boundary and Interior Energies.

Fractals Project:  Geodesic Interpolation on the Sierpinski Gasket.

Stochastics Project:  Financial Math: Portfolio Optimization and Dynamic Programming.

Fractals Project: Lipschitz Continuity of Laplacian Eigenfunctions on a class of post-critically finite (PCF) self-similar sets.

Fractals Project: Gradients on Higher Dimensional Sierpinski Gaskets

Fractals Project: Gradients on Higher Dimensional Sierpinski Gaskets

Fractals Project: Spectral Analysis on Graphs Related to the Basilica Julia Set

Fractals Project: Spectral Analysis on Graphs Related to the Basilica Julia Set

Stochastics Group: Stochastic Stabilization of Planar Flows, Multiplicative LLN and CLT and their Applications

Stochastics Group: Multiplicative LLN and CLT and their Applications

Fractals Project: Gradients on Higher Dimensional Sierpinski Gaskets

Stochastics Group: Multiplicative LLN and CLT and their Applications

• Fractals Group
• Project: Power Dissipation in Fractal AC Circuits

• Fractals Group
• Project: Wave Propagation through a Fractal Medium

• Math Ed Group
• Project: Mathematics and Intercultural Competence in the Middle School

• Math Ed Group
• Project: Investigating the Interplay of Argumentation and Mathematics in Classroom Tasks

• Math Ed Group
• Project: Mathematics and Intercultural Competence in the Middle School

• Fractals Group
• Projects: Spectrum of the Magnetic Laplacian on the Diamond Fractal, Power Dissipation in Fractal AC Circuits

• Algebraic Geometry Group
• Project: Minimal Length Maximal Green Sequences

• Fractals Group
• Project: Power Dissipation in Fractal AC Circuits

• Algebraic Geometry Group
• Project: Minimal Length Maximal Green Sequences

• Fractals Group
• Projects: Power Dissipation in Fractal AC Circuits, Wave Propagation through a Fractal Medium

• Stochastics Group
• Project: Stochastic Stabilization of Planar Flows

• Fractals Group
• Projects: Spectrum of the Magnetic Laplacian on the Diamond Fractal, Power Dissipation in Fractal AC Circuits

• Stochastics Group
• Project: Stochastic Stabilization of Planar Flows

• Fractals Group
• Projects: Spectrum of the Magnetic Laplacian on the Diamond Fractal, Power Dissipation in Fractal AC Circuits

Stochastics Group: Stochastic Stabilization of Planar Flows, Multiplicative LLN and CLT and their Applications

• Stochastics Group
• Project: Stochastic Stabilization of Planar Flows

• Stochastics Group
• Project: Stochastic Stabilization of Planar Flows

• Algebraic Geometry Group
• Project: Minimal Length Maximal Green Sequences

• Algebraic Geometry Group
• Project: Minimal Length Maximal Green Sequences

• Math Ed Group
• Project: Investigating the Interplay of Argumentation and Mathematics in Classroom Tasks

• Math Ed Group
• Project: Resources to Aid the Transition into an IBL Mathematics Course

• Fractals Group
• Project: Measurable Riemannian Structure on Higher Dimensional Sierpinski Gaskets

• Math Ed Group
• Project: An Inquiry-Based Approach to Teaching Parameterization

• Math Ed Group
• Project: An Inquiry-Based Approach to Teaching Parameterization

• Fractals Group
• Project: Measurable Riemannian Structure on Higher Dimensional Sierpinski Gaskets

• Fractals Group
• Project: Spectrum of the Magnetic Laplacian on the Sierpinski Gasket

• Math Ed Group
• Project: Resources to Aid the Transition into an IBL Mathematics Course

• Fractals Group
• Project: Spectrum of the Magnetic Laplacian on the Sierpinski Gasket

• Fractals Group
• Project: Spectrum of the Magnetic Laplacian on the Sierpinski Gasket

• Algebraic Geometry Group
• Project: Frobenius Splitting of Projective Toric Varieties

• Fractals Group
• Project: Determining the Spectrum of the Laplacian on 3N-Gaskets

• Fractals Group
• Project: Determining the Spectrum of the Laplacian on 3N-Gaskets

• Fractals Group
• Project: Determining the Spectrum of the Laplacian on 3N-Gaskets

• Math Ed Group
• Project: Exploring Learning Difficulties in Multivariable Calculus

• Fractals Group
• Project: Determining the Spectrum of the Laplacian on 3N-Gaskets

• Stochastics Group
• Project: Lyapunov Exponents of Multiplicative Stochastic Processes

• Algebraic Geometry Group
• Project: Frobenius Splitting of Projective Toric Varieties

• Stochastics Group
• Project: Lyapunov Exponents of Multiplicative Stochastic Processes

2011

• Fractals Group
• Project: The Strichartz Hexacarpet and Higher Dimensional Analogues

2009

• Fractals Group
• Project: Spectrum and Heat Kernel Asymptotics on General Laakso Spaces

• Fractals Group
• Project: The Strichartz Hexacarpet and Higher Dimensional Analogues

• Fractals Group
• Project: The Strichartz Hexacarpet and Higher Dimensional Analogues

• Fractals Group
• Project: Analyzing Properties of the C. Elegans Neural Network: Mathematically Modeling a Biological System

• Fractals Group
• Project: Analyzing Properties of the C. Elegans Neural Network: Mathematically Modeling a Biological System

• Fractals Group
• Project: Quantum Mechanics on Laakso Spaces

• Fractals Group
• Project: Quantum Mechanics on Laakso Spaces

• Fractals Group
• Project: Quantum Mechanics on Laakso Spaces

• Fractals Group
• Project: Quantum Mechanics on Laakso Spaces

• Fractals Group
• Project: From Self-Similar Structures to Self-Similar Groups

2011

• Fractals Group
• Project: The Strichartz Hexacarpet and Higher Dimensional Analogues

2009

• Fractals Group
• Project: Spectrum and Heat Kernel Asymptotics on General Laakso Spaces

• Fractals Group
• Project: Spectrum and Heat Kernel Asymptotics on General Laakso Spaces

• Fractals Group
• Project: Modified Hanoi Towers Groups and Limit Spaces

• Fractals Group
• Project: Spectrum and Heat Kernel Asymptotics on General Laakso Spaces

• Fractals Group
• Project: Modified Hanoi Towers Groups and Limit Spaces

• Fractals Group
• Project: Eigenmodes of a Laplacian on Laakso Space