*Meeting of the Minds*

# Poster Competition: past winners

This competition is sponsored by the Department of Mathematical Sciences, through the generosity of alumnus David Simmons. Its purpose is to encourage undergraduate projects and research in mathematics, and to educate the CMU community about the wide range of opportunities in mathematics.

The competition is open to any student who has completed a project that has significant mathematical content. Students must be enrolled at CMU as undergraduates in the spring semester of previous year. A panel of judges will rate the projects to the following criteria: quality of abstract, clarity of objective, organization of thoughts, general quality of work, significance of work, oral presentation skills, visual presentation quality, novel and/or appropriate use of mathematical methods, responses to questions.

# 2020

*David Simmons Prize for Undergraduate Research in Mathematics*

Fei Peng

➤** What can you draw?**

*Runners-up*

Max Aires

➤** On the number of edges in a maximally linkless graph**

^{(What can you draw? - Fei Peng)}

Philip Lamkin

➤** Log-convexity of moments of averages**

Noah Stevenson

➤** Characterizations of screened Sobolev spaces**

# 2019

*David Simmons Prize for Undergraduate Research in Mathematics*

Emily Zhu

➤** Multicolor Ramsey Numbers for Small Hypergraphs**

*Honorable Mentions*

Alp Müyesser

➤** Unavoidable Colorful Patterns in Graphs**

Xinyu Wu

➤** A Log-Sobolev Inequality for the Multislice, with Applications**

Annie Xu

➤** Traces for Homogeneous Sobolev Spaces in Infinite Cylindrical Domains**

*Young Researcher Award*

Laura Li & Lily Qiao**➤ Portfolio Optimization with Order Size Impact**

# 2018

*David Simmons Prize for Undergraduate Research in Mathematics*

Zachary Singer

➤** Sparse Polynomial Approximations with Unknown Random Sampling**

*Second Place*

Matthew Bowen

➤** The Sprague-Grundy Function for Some Selective Compound Games**

^{(The Sprague-Grundy Function for Some Selective Compound Games - Matthew Bowen)}

*Third Place (Tie)*

Sidhanth Mohanty (CS major)

➤** Sum-of-Squares Refutation Threshold for Regular SORT_4 Instances**

Nicholas Sieger

➤** Cycle Double Covers**

*Young Researcher Award*

Zizhuo Chen, David Xu, Yuzhi Guo and Anni Huang

➤** Utility Optimization in the Agency Problem**

# 2017

*David Simmons Prize for Undergraduate Research in Mathematics*

Sam Zbarsky

➤** Energy Decay in a Fluid with a Free Boundary**

*Runner-up*

Ananya Kumar (CS major)

➤** Streaming Algorithms for Approximate Convex Hulls**

*Honorable Mentions*

Manuel Fernandez

➤** Online Purchasing of Minimal Spanning Trees**

Liuyu Jin

➤** Existence, Uniqueness and Asymptotic Behavior of Solutions to a Linear System of PDEs with Weak Viscoelastic Damping**

Tim Li

➤** L1 Regularization for Compact Support**

# 2016

*First Place: Mathematics Poster*

Jackson Bahr (2017)

➤** Subrings of C Generated by Angles**

*Honorable Mentions: Mathematics Poster*

Keven Chionh (2018), Liuyu Jin (2018)

➤** Brachistichrone Problem in Non-uniform Gravitational Fields**

Weichen Yin (2016)

➤** Twinning conditions in Austenite-Martensite Phase Transitions**

# 2015

*First Place: Mathematics Poster*

Philip Garrison (2016)

➤** Good Graph Hunting**

*Honorable Mentions: Mathematics Poster*

David Mehrle (2015), Tomer Reiter (2015)

➤** Newman’s Conjecture in Function Fields**

Nicholas Takaki (2015)

➤** Image Segmentation with Dynamic Artifacts Detection and Bias Correction**

Jeremy Meza (2015)

➤** Explicit Bounds for Pseudospectra of Matrices and Operators**