Shiv Mauree.
Mathematics, whatever I need for the job & making mistakes

Shiv Mauree

PhD Student in Applied Mathematics

Case Western Reserve University · Cleveland, Ohio

Early PhD student in applied mathematics interested in inverse problems, scientific computing, machine learning, and whatever else I accidentally convince myself is interesting. Most of my current “work” involves trying to understand problems slightly beyond my scope, making impressively dumb mistakes, and occasionally learning something useful from them.

My research Get in touch
Hand landmarks in a coordinate system A schematic of 21 hand landmarks, adapted from the coordinate representation figure in my classification manuscript. White chalk connections trace the hand; blue chalk marks the joints. 0 1 1 x y pⱼ = (xⱼ, yⱼ) 21 landmarks
From a hand image to a geometric representation.
A schematic adapted from my landmark work.

image → landmarks → features → class

On the board: Geometric representations Classification Invariance & robustness
01 / Research

Learning from
simple ideas.

My most recent work examined the choice of feature representation after landmark extraction.I compare mathematical descriptors of “shape” such as the locations of points, the distances between them, and the angles they form to understand which representations are most informative and reliable. From these findings, I develop a systematic approach for building better representations of landmark data.

The study at a glance

Graphical abstract: hand images become landmarks; coordinate, distance, angle and hybrid feature maps are evaluated using perturbation and ablation, then used for gesture classification.
Hand images → landmarks → feature maps → representation analysis → classification.

Problem formulation

A labeled image dataset pairs each image Iᵢ with a class label γᵢ.

𝒟 = {(Ii, γi)}i=1 n,   γi ∈ {1, …, K}

A pixel-based classifier learns a map from image intensities to labels.

f : ℝH×W×C → {1, …, K}

We separate this into landmark extraction, geometric feature construction, and classification.

Ii → L(Ii) → φr(L(Ii)) → g(φr(L(Ii)))
L : ℝH×W×C → ℝ21×d
φr : ℝ21×d → ℝqr

MediaPipe Hands supplies 21 landmarks with d retained coordinate dimensions. Each feature map φr yields its own representation and transformed dataset.

𝒟φr = {(φr(L(Ii)), γi)}i=1 n

The central object is the feature map: what geometry it preserves, what nuisance variation it removes, and how that choice affects classification.

H, W, C: image height, width, and channels · qr: feature dimension

02 / Teaching

Making ideas
click.

My teaching spans algebra, trigonometry, statistics, and calculus, with experience as an instructor, supplemental instructor, and teaching assistant.

Case Western Reserve University

Summer 2026

Elementary Functions and Analytic Geometry

Instructor of Record

Spring 2026

Math and Calculus Applications for Life, Managerial, and Social Sciences I

Supplemental Instructor

Fall 2025

Calculus III

Teaching Assistant

Youngstown State University

Spring 2024

College Algebra
Linear Algebra
Statistical Methods

Instructor

Fall 2023

College Algebra
Statistical Literacy and Critical Thinking

Instructor of Record

Spring 2023

Trigonometry

Instructor Of Record

03 / About

From code
to mathematics.

I am a PhD student in Applied Mathematics at Case Western Reserve University. My background in computer science shapes how I approach mathematical questions: through both analysis and computation.

I am interested in understanding why a representation or method works, what information it carries, and how its behavior changes when the data are imperfect.

Experience Education
  1. 2025–present

    PhD in Applied Mathematics

    Case Western Reserve University

  2. From 2024

    Mathematics Instructor

    Youngstown State University

  3. 2023

    Data Scientist

    Nuvve

  4. 2023–2024

    Graduate study in Mathematics & Statistics

    Youngstown State University

  5. 2021–2024

    Software Developer

    Part-time freelance & private contracting

  6. 2019–2022

    B.S. in Computer Science

    Youngstown State University
    Minor in Mathematics

04 / Activities

Beyond
the classroom.

Student leadership, mathematical mentoring, and sharing ideas with the graduate community.

Leadership
Current

Risk Manager

SIAM Student Chapter · Case Western Reserve University

Leadership
Current

First Year Liaison

Mathematics Department · Case Western Reserve University

Mentoring

Directed Reading Program

Mentored Aadhav Bharadwaj on Tensor Operations in ML.

Graduate seminar

How I solved racism using Calculus and Linear Algebra

Saravana Mauree · Case Western Reserve University

05 / Friends

Beyond
Beyond the classroom.

People much smarter than me, and the little stuff we've done.

The Egg Box Problem

Aaron Huntley

Read on Aaron's Website