Algebraic Geometry Commons^™

Msis-Kadelka: Algebraic Methods For Inferring Discrete Models Of Biological Networks, Brandilyn Stigler

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.

Geometric Curves From P-Circles, Isaiah Dempsey, Bill Wood

Summer Undergraduate Research Program (SURP) Symposium

p-Circles are a generalization of the usual circle satisfying the equation |x|^p + |y|^p = 1. The 1-circle is the square with vertices (1,0),(0,1),(-1,0),(0,-1). As p goes to infinity the p-circle equation becomes max(|x|, |y|) = 1. So the ∞-circle is the square with vertices (1,1),(-1,1),(-1,-1),(1,-1). From 1≤p≤2 the p-circle smoothly transforms from a square to a circle, and from 2≤p≤∞ the p-circle smoothly transforms from a circle to a square.

Unomaha Problem Of The Week (2021-2022 Edition), Brad Horner, Jordan M. Sahs

UNO Student Research and Creative Activity Fair

The University of Omaha math department's Problem of the Week was taken over in Fall 2019 from faculty by the authors. The structure: each semester (Fall and Spring), three problems are given per week for twelve weeks, with each problem worth ten points - mimicking the structure of arguably the most well-regarded university math competition around, the Putnam Competition, with prizes awarded to top-scorers at semester's end. The weekly competition was halted midway through Spring 2020 due to COVID-19, but relaunched again in Fall 2021, with massive changes.

Now there are three difficulty tiers to POW problems, roughly corresponding to …

Estimating The Number Of Discrete Models Of Biological Networks, Brandilyn Stigler

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.

Application Of Tda Mapper To Water Data And Bird Data, Wako Bungula

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.

Topology And Dynamics Of Gene Regulatory Networks: A Meta-Analysis, Claus Kadelka

Biology and Medicine Through Mathematics Conference

No abstract provided.

Data Parsing For Optimized Molecular Geometry Calculations, Luke Rens

Undergraduate Research Conference

The purpose of this project is to optimize and streamline to process of using ADF and ReaxFF. There is no efficient way to effectively add constraints to a compound and run it through ADF, take the ADF output and create a file that can be run through Reaxff, then take that Reaxff output and come to conclusions on it. To streamline this process, scripts were developed using Python to parse information out of data generated by ADF.

The Influence Of Canalization On The Robustness Of Finite Dynamical Systems, Claus Kadelka

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.

Cox Processes For Visual Object Counting, Yongming Ma

Student Research Symposium

We present a model that utilizes Cox processes and CNN classifiers in order to count the number of instances of an object in an image. Poisson processes are well suited to events that occur randomly in space, like the location of objects in an image, as well as to the task of counting. Mixed Poisson processes also offer increased flexibility, however they do not easily scale with image size: they typically require O(n3) computation time and O(n2) storage, where n is the number of pixels. To mitigate this problem, we employ Kronecker algebra which takes advantage of the direct product …

Session A-3: Three-Act Math Tasks, Lindsey Herlehy

Professional Learning Day

Participants will engage in a Three-Act Math task highlighting the application of properties of geometrical figures. Developed by Dan Meyer, an innovative and highly regarded mathematics instructor, Three-Act Math tasks utilize pedagogical skills that elicit student curiosity, collaboration and questioning. By posing a mathematical problem through active storytelling, this instructional approach redefines real-world mathematics and clarifies the role that a student plays in the learning process. Participants will be given multiple resources where they can access Three-Act Math tasks appropriate for upper elementary grades through Algebra and Geometry courses.

On The Perfect Reconstruction Of The Structure Of Dynamic Networks, Alan Veliz-Cuba

Annual Symposium on Biomathematics and Ecology Education and Research

No abstract provided.

A Multiplicative "Conic", Tiffany Lundy

Undergraduate Research Conference

Early in their mathematical career, students learn about how ellipses and hyperbolas are formed, their properties, and their applications. In particular, an ellipse is the set of all points in the plane whose combined distance from two fixed locations (foci) is constant. A hyperbola is formed in much the same way, except instead of combining (adding) the distance from the foci, the difference is used. This research begins by examining a new locus of points. The locus of points if formed by taking all points whose distance from two fixed locations when multiplied in constant. The difference discernible types of …