Schedule

• 4:00-5:00pm Registration (first floor of Van Vleck in front of the elevators)

• 5:00 pm Welcome Location: Van Vleck B130

• 5:05 - 5:55 pm Plenary Talk: Location: Van Vleck B130

  • Moon Duchin (University of Chicago)

Measuring segregation

How do you measure the separation or interspersal of two populations?  A common framework for this starts by tiling a region with small geographical units so that we can compare the balance of populations across the units.  There are ways to do the measurement that are purely numerical, and others that take the spatial arrangement of the units into account.  I'll overview ideas from sociology to harmonic analysis that help us think about the relevant kinds of patterning.

• 8:30 am Check-in, Coffee, and Snacks Location: Van Vleck B224 (Math Learning Center)

• 9:30 am  Plenary Talk: Location: Van Vleck B130

  • Edray Goins (Pomona College)

An Introduction to Dessins d’Enfants:The Intersection of Graph Theory, Group Theory, and Differential Geometry

Suppose there are three cottages, and each needs to be connected to the gas, water, and electric companies. Using a third dimension or sending any of the connections through another company or cottage are disallowed. Is there a way to make all nine connections without any of the lines crossing each other? To answer such a question, we explore the properties of planar graphs. 

It is natural to generalize to graphs which can be embedded into Riemann surfaces, such as the sphere and the torus. In this talk, we discuss how to draw such graphs using Grothendieck’s concept of a Dessin d’Enfant.   This work is conducted as part of the Pomona Research in Mathematics Experience (PRiME; DMS-1560394, DMS-1850909, DMS-1659138, and DMS-2113782) and the Mathematical Sciences Research Institute's Undergraduate Program (MSRI-UP). 

• 10:30 - 11:00 am Panel: How do we get outreach started and why? Location Van Vleck B107

• 11:00 am Outreach setup Location: Van Vleck B224 (Math Learning Center)

• 12:00 pm Lunch and Outreach Booths  Location: Van Vleck B224 (Math Learning Center)

• 2:15 - 2:55 pm Plenary Talk:  Location: Van Vleck B130

  • Jean-Luc Thiffeault (University of Wisconsin - Madison)

Making taffy with the Golden mean

Taffy pullers are old-timey devices used to make candy or bread.  They save on human labor by repeatedly "pulling" the taffy or dough.  They are very interesting mathematically: we can relate the number of folds of taffy to some famous mathematical sequences.  Some surprising numbers pop up, like the Golden mean, but also its lesser-known cousins.  Armed with this mathematical knowledge, we attempt to improve existing devices. (Warning: no actual taffy will be made. Sorry!)

• 3:00 pm Coffee Break Location: Van Vleck B224 (Math Learning Center)

• 3:30 - 3:50 pm Outreach Talk (Illinois) Location Van Vleck  B107

• 4:00 - 4:20 pm Outreach Talk (Mason) Location Van Vleck  B107

• 4:30 - 5:00 pm Panel: Outreach Design Location Van Vleck B107

• 8:30-9:00 am Coffee and Snacks Location: Van Vleck B224 (Math Learning Center)

• 9:00 - 9:45 am Panel: Career Location: Van Vleck B130

• 9:45 - 10:25 am Parallel Undergraduate Research Talks Session 1 (See below for more detailed schedule)  

• 10:25 - 11:10 am Parallel Panels:

  • Graduate school applications and surviving grad school in Room 1 Location: Van Vleck B119

  • Starting and running an undergraduate research lab in Room 2 Location: Van Vleck B123

• 11:10 - 12:05 pm Parallel Undergraduate Research Talks Session 2 (See below for more detailed schedule)

• 12:05 - 2:00 pm Lunch (on your own)

• 2:00 - 2:50 pm Plenary Talk: Location: Van Vleck B130

  • Priyam Patel (University of Utah)

Infinite-type Surfaces: A New Frontier in Geometric Topology 

Surfaces fall into two categories: finite-type and infinite-type. Historically, research on surfaces has focused on those of finite type due to their simple classification and the fact that the groups associated to them are finitely generated. However, infinite-type surfaces are ubiquitous in topology, geometry, and dynamics. For example, they arise naturally as translation surfaces, as foliations of 3-manifolds, and in connection with quasiconformal maps. As a result, there has been a surge of interest in infinite-type surfaces and their "huge" groups of symmetries over the past decade. In this talk, I will provide an overview of foundational results in the field and highlight some of the exciting new directions emerging in this rapidly developing area of geometric topology.

• 3:00 pm Coffee Break Location: Van Vleck 224 Math Learning Center

• 3:30 - 5:05 pm Parallel Undergraduate Research Talks Session 3 (See below for more detailed schedule)

• 8:30 am Coffee and Bagel Location: Van Vleck 224 Math Learning Center

• 9:00 - 10:30 am Posters (See below for more details)

  • 9:00 - 9:30 am Shift 1

  • 9:30 - 10:00 am Shift 2

  • 10:00 - 10:30 am Shift 3

• 10:30 - 12:00 pm Conversation tables, board games, and send off

• Crochet a Monster Surface

  • Savannah Crawford (Capital City Public Charter School / MEGL)

• Historical Math Models

  • Karen Mortensen, Sarah Park (UIUC)

• Paper folding/ Hexaflexagons

  • Karen Mortensen (UIUC)

• Geometry in Surprising Places

  • Claire Merriman (GMU)

• MEGL Games

  • Claire Merriman (GMU)

• Mathematics Journeys: Reflecting on Early Learning and Mathematical Identity

  • Taiwo Felicia Taiwo (U. Wisc.-Madison)

• Quadratis: A Puzzle Game on Translation Surfaces

  • Bella Finkel (U. Wisc.-Madison)

• A standard Schelling model

  • Wan Dang (GMU)

• Braess Paradox

  • Justin Arches, Shakeeb Uddin (GMU)

• Irreducible graph maps with small stretch factors 

  • Xinyi Shi (U. Wisc. -Madison)

• Neural Network Parametrization for PDE-Constrained Optimization

  • Pritam Kayal, Mark Miller, Yifan Yang  (U. Wisc. - Madison)

• Explorations in Entanglement Theory 

  • Diana Lopez, Mihir Meta, Yuna Shin (UIUC)

• Exploring Hyperbolic Geometry through Crochet 

  • Pengrui Song (U. Wisc. - Madison)

• Geometry of Nearest Integer Continued Fractions 

  • Gregory Maleski, Tree Nguyen (GMU)

• Critical Exponents of Activated Random Walk in One and Two Dimensions 

  • McKinley Quevedo (U. Wash.)

• Rank 2 Rel 0 Affine Invariant Subvarieties in H(6)

  • Pramana Saldin (U. Wisc. - Madison)

• On Eigenvector Preferential Attachment Trees 

  • Haoyu Tang, UIUC)

• An elementary proof that linking problems are hard 

  • Saarah Nazar (UIUC)

• Bounds of Cycle Integrals of Modular Forms 

  • Daniel Zikel (U. Wisc. - Madison)

• Building the Gordian Graph,  Ana Artero Calvo, Krithi Prasad

  • Samantha Ward (U. Texas)

• Digit Probability of Normal Numbers in the Nearest Integer Continued Fractions 

  • Alexis Amspacher, Emily Cudney, John Nguyen, Satjeev Radhakrishnan (GMU) 

• Elementary Estimates for the Mertens Function - Survivor/Graph Model and a Multi-Pair Interval Routine 

  • Junhao Wu, Tony Zhuang (UIUC)

• Game-Theoretic Frameworks for Exploring Cross-Scale Evolutionary Dynamics 

  • Naro Panjaitan (UIUC)

• Historical Math Models- 3D Printing for Calculus and Beyond

  • John Koultourides (UIUC)

• Developing Model of HIV Infection that Correlates with Treatment-Induced Immune Recovery

  • Emma Mayhew (U. Wisc. - Madison)

• Hierarchical QUBO Decomposition for Portfolio Allocation via Modularity-Based Graph Community Detection​ ​ 

  • Esha Sury, Dhruv Upreti (Purdue)

• Monte Carlo Approaches to Modeling Trait Fixation in Group-Structured Populations 

  • Maven Khanday (UIUC)

• Multipliers of Closed Orbit Maps 

  • Xiangyi Pan (U. Wisc. -Madison)

• Taming wild knots with mosaics 

  • Sean Kawano (U. Wash.)

• The Rules of Quantum Calculus 

  • Martin Wang (UIUC)

• Voting Paradoxes 

  • Chengxun Ren (UIUC)

• Certifying Maximal Stretch Ratios for Fuchsian Free Group Representations 

  • Joseph Hummel, Kaius Noble (U. Texas)

• Developing Model of HIV Infection that Correlates with Treatment-Induced Immune Recovery

  • Emma Mayhew (U. Wisc.-Madison)