View or download a PDF version of my CV here!

Education


Tufts University

Medford, MA

MS, Mathematics

incoming

Macalester College

St. Paul, MN

BA, Mathematics and Computer Science

05/2024

  • Summa Cum Laude, GPA 3.96/4.0
  • Advisors: Lori Ziegelmeier and Susan Fox
  • Honors Thesis: Persistent Relative Homology for Topological Data Analysis
  • Oxford University

    Oxford, England, UK

    Visiting Student, Mathematics

    01/2023 - 06/2023

  • St. Catherine's College
  • Relevant Coursework: Analysis II, Analysis III, Elementary Number Theory, Groups and Group Actions
  • University of Wisconsin - Madison

    Madison, WI

    Visiting Student, Mathematics

    06/2022 - 08/2022

  • Relevant Coursework: Techniques in ODEs, Introductory Combinatorics
  • Research


    University of Minnesota / Macalester College

    St. Paul, MN

    Research Assistant

    05/2023 - present

  • Algebraic and computational topology.
  • Homological and sparse matrix algebra.
  • Developed and implemented a novel algorithm to compute persistent relative homology.
  • Advised by Lori Ziegelmeier (Macalester Col.) and Gregory Henselman-Petrusek (PNNL).
  • Teaching


    Macalester College

    St. Paul, MN

    Teaching Assistant

    01/2022 - 05/2024

  • Responsibilities: attend lectures, design and grade homework, hold office hours twice weekly.
  • Linear Algebra, Spring 2022
  • Introduction to Statistical Modeling, Fall 2022
  • Computational Geometry, Fall 2023
  • Algorithm Design and Analysis, Spring 2024
  • Publications


  • Lentz, C. (2024). Persistent Relative Homology for Topological Data Analysis. Mathematics, Statistics, and Computer Science Honors Projects. 85. https://digitalcommons.macalester.edu/mathcs_honors/85/.
  • Lentz, C., Henselman-Petrusek G., Ziegelmeier L. (in prep). A U-match Algorithm for Persistent Relative Homology.
  • Talks & Presentations


    Invited Talks

  • 2024 January: Joint Mathematics Meetings, AIM-AMS Special Session on Applied Topology Beyond Persistence Diagrams, A computational approach for persistent relative homology.
  • Contributed Talks

  • 2023 September: Fall Meeting of Mathematical Association of America NCS, A matrix factorization algorithm for persistent relative homology.
  • Undergraduate Sessions

  • 2023 October: Macalester College, Summer Showcase Seminar, A matrix factorization algorithm for persistent relative homology.
  • 2024 January: Joint Mathematics Meetings, PME Undergraduate Student Poster Session, A computational approach for persistent relative homology.
  • 2024 April: Undergraduate honors defense, Macalester College, Department of Mathematics, Statistics and Computer Science, Persistent relative homology for topological data analysis.
  • Awards


    Konhauser Achievement Award

    Macalester College, 2024

  • Awarded each year to a single student majoring in mathematics at Macalester College.
  • In recognition of outstanding academic record and demonstrated dedication to and interest in the field.
  • Established and funded in honor of Dr. Joseph D. Konhauser, professor and chair of the Macalester Mathematics Department 1968-1991.
  • Dewitt Wallace Distinguished Scholarship

    Macalester College, 2020-24

  • Based on academic merit and awarded on a highly-competitive basis.