学生的研究

National Research Experience for Undergraduates Program at 十大正规网赌平台 (NREUP 2022)

NREUP 2022 was sponsored by the Mathematical Association of America (MAA) to provide students with research experience in Applied 数学. Students worked collaboratively together in groups under the supervision of their mentors on an active mathematics research problem.

2022年夏天, students developed 和 explored specialized techniques called nonst和ard finite differences to produce numerical solutions to ordinary differential equations. Since t在这里 are very few instances in which closed-form analytical solutions for ODEs 和 PDEs can be found, we used these numerical analytical techniques to produce accurate approximations to solutions of problems derived from real-world mathematical models.

参加者名单:

• 亚历克西斯·格瓦拉(Oxy)
• Alex Gutierrez-Diaz (California State University, 洛杉矶)
• 阿米莉亚·威斯特(Oxy)
• Johnny Sierra (California State University, 洛杉矶)

研究产品

REU 2022口头报告:

• “Numerical Investigations of Nonlinear First-Order Ordinary Differential Equations” (August 3, 2022, Summer Research Program Conference)

Research Experiences for Undergraduates 2021 (REU 2021)

In Summer 2021, a NSF-sponsored REU was hosted by 十大正规网赌平台 virtually by Zoom. The faculty involved in the program were 吉姆布朗 和 特莉娜巴苏. Research topics were coding theory 和 numerical analysis. Please see more information about REU 2021 在这里.

参加者名单:

• Livia Betti (University of Rochester)
• Zaheer Coovadia (Boston College)
• Mayra Diaz (Heritage University)
• Fern和o Gaitan (Wesleyan University)
• David Iniguez (California State Polytechnic University, Pomona)
• Alex和ra Scott (Tufts University)
• Aiyana Spear (Wellesley College)
• Japheth Varlack (Lee University)

研究产品:

REU 2021 Oral Presentations:

• 编码理论组: From Codes to Lattices over Real Quadratic Fields: The Comparison of Associated Theta Functions
• 数值分析组: Unity Approximations in the Construction of NSFD Schemes for 1st Order 和 Systems of ODEs

REU 2021 Written Presentations:

• 编码理论小组: Lattices in real quadratic fields 和 associated theta series arising from codes over ${\bf F}_{r}$ 和 ${\bf F}_2 \times {\bf F}_2$.
• 数值分析组: Unity Approximations in the Construction of NSFD Schemes for 1st Order ODEs 和 Systems of ODEs

REU 2021出版物:

• J. 布朗,我. 贝蒂,F. 盖坦字,. 长矛,J. Varlack, Lattices in real quadratic fields 和 associated theta series arising from codes over F₄ 和F₂ × F₂, Designs, Codes 和 Cryptography, 2023, http://doi.org/10.1007/s10623-023-01258-w.

Research Experiences for Undergraduates 2020 (REU 2020)

In Summer 2020, a NSF-sponsored REU was hosted by 十大正规网赌平台 virtually by Zoom. The faculty involved in the program were 吉姆布朗, 特莉娜巴苏 和 埃里克•桑德博格. Research topics were data science, number theory, 和 positional game theory. Please see more information about REU 2020 在这里.

参加者名单:

• Jessica Rae Booher (Westminster College)
• Victor Cho (Cypress College)
• Justine Dell (Haverford College)
• Merrick Hua (Arcadia High School)
• Hanna Noelle Griesbach (Elon University)
• Am和a 埃尔南德斯 (Rice University)
• Matthew Mena (El Camino College)
• 汉娜·希茨(圣. 安德鲁斯大学)
• Ann Thompson (University of Texas - Austin)
• Sireesh Vinnakota (Pomona College)

研究产品:

REU 2020口头报告:

• 数据科学组: Utilizing Machine Learning to Predict Student College Decisions
• 数论组: Eigenform product identities of genus two Siegel modular forms of general congruence level
• Positional Game Theory group: Extremal Hypergraphs for the Erdos-Selfridge Theorem

REU 2020 Written Presentations:

• 数据科学组: Utilizing Machine Learning to Predict Student College Decisions
• 数论组: Eigenform product identities of genus two Siegel modular forms of general congruence level
• Positional Game Theory group: Extremal Hypergraphs for the Erdos-Selfridge Theorem

REU 2020出版物:

• J. 布朗,J. 戴尔、H. 格里斯巴赫和A. 埃尔南德斯, Eigenform Product Identities of Genus Two Siegel Modular Forms of General Congruence Level, International Journal of Number Theory, (to appear.)