Research Project Internship

Melissa Wei

**** **** ******, *** ****, CA *****

******@*******.***, 408-***-****

EDUCATION

Cornell University

GPA: 3.824, Dean’s List, College of Arts and Sciences, B.A., Mathematics - cum laude. Graduation date: May 2023. Math 6150 Algebraic Topology, Math 6350 Homological Algebra, Math 4130-4140 Introduction to Real Analysis (Honors) I & II, Math 3340 Abstract Algebra, Math 4330 Honors Linear Algebra, CS 4820 Introduction to Analysis of Algorithms Lynbrook High School

GPA: 4.0, Valedictorian. Graduation date: May 2018. Linear Algebra, Multivariable Calculus, AP Calculus BC, AP Chemistry, AP Computer Science, AP Physics C Mechanics, AP Statistics

AWARDS

Regeneron Science Talent Search Semifinalist, 2018 Siemens Semifinalist, 2017

RESEARCH EXPERIENCES

Independent Study in Model Categories, January 2023-present

• Independent Study with Prof. Inna Zakharevich in category theory and especially model categories, consisting of working on exercises in category theory and writing an expositional report on model categories for chain complexes and left derived functors.

Independent Research in Schubert Polynomials and Proof Verification, Spring 2022-Fall 2022

• Research project with Prof. Allen Knutson in proof verification related to Schubert polynomials using Lean; contributed to the Lean Prover mathlib repository on Github.

University of Connecticut REU in Fractal Analysis, Summer 2021

• Worked on research project under mentorship of Prof. Luke Rogers on Fractal Analysis in spectral decimation of fractals related to the Sierpinski Gasket.

Research in spectra of multi-dimensional Vicsek Sets, August 2020 to Febuary 2021

• Worked on research project under mentorship of Prof. Robert Strichartz and Shiping Cao introducing the multi- dimensional class of Vicsek Sets with a spectral decimation process and an analysis of Neumann/Dirichlet eigenfunctions.

• Citation: C. Shiping, R. S. Strichartz, and M. Wei, Eigenvalues of Laplacians on Higher Dimensional Vicsek Set Graphs, Fractals (Vol. 30, Issue 01). World Scientific Pub Co Pte Ltd. 2022, in press. Internship at NASA Ames, June to August 2019

• Worked on pathplanning research project under the mentorship of Min Xue in the NASA Ames AFO department: UAS Pathplanning in Urban Environments. Publication in preparation. Boston University Research Internship in Science and Engineering, July to August 2017

• Worked on computational chemistry project in the Prof. Ksenia Bravaya’s lab.

• Citation: R.N. Tazhigulov, J.R. Gayvert, M. Wei, and K.B. Bravaya, eMap: A Web Application for Identifying and Visualizing Electron or Hole Hopping Pathways in Proteins. J. Phys. Chem. B, 2019, in press. EXTRACURRICULAR ACTIVITIES

Cornell's Chapter of the Association for Women in Mathematics, Mentoring Chair, Aug. 2020 to May 2023. Cornell Directed Reading Program (DRP) 2021-2022.

SKILLS

Programming Languages

• Java, Python, C++

• Lean

OTHER SKILLS

• Command line programming

• LaTeX

• Mathematica

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