Research Mentor (Mathematics)

Job Title: Research Mentor (Mathematics)

Location: Remote

Employment Type: Part-Time

Company: Let's Unbound

Role Overview

We are looking for mathematically mature researchers to mentor high school students through open-ended, research-style exploration in mathematics.

This is not a tutoring or Olympiad coaching role.

Mentors work with students to help them move from curiosity to precise questions, from intuition to formal structure, and from exploratory ideas to well-organized research-style outputs.

The role is suited for individuals who enjoy abstraction, problem formulation, proof-based reasoning, and guiding others through deep mathematical thinking.

What You'll Do

• Guide students from curiosity → conjecture → framework → structured investigation

• Help students formulate non-trivial and feasible mathematical questions

• Mentor students in areas such as:

o Number Theory

o Combinatorics

o Graph Theory

o Probability

o Algebra

o Geometry

o Dynamical Systems

o Applied Mathematics / Mathematical Modeling

• Translate advanced ideas into first principles understanding

• Help students build toy models, simplified proofs, or computations where appropriate

• Support literature exploration and development of conceptual clarity

• Provide detailed feedback on reasoning, argument structure, and written exposition

• Encourage independent problem solving rather than template-driven solutions

Who This Role Is For

We are particularly interested in candidates with backgrounds in:

• Pure Mathematics

• Applied Mathematics

• Mathematical Physics

• Theoretical Computer Science

• Probability and Statistics

Required Qualifications

• Current or completed PhD in Mathematics or a closely related quantitative field

• Strong record of research or advanced problem-solving experience

• Deep comfort with abstraction, proofs, and mathematical reasoning

• Ability to explain difficult concepts with clarity and precision

• High ownership, reliability, and attention to detail

Researchers from IITs, IISc, ISI, CMI, and leading international universities are encouraged to apply.

Preferred Experience

• Prior mentoring, supervision, or teaching experience

• Experience guiding exploratory or open-ended projects

• Strong mathematical writing and exposition skills

• Familiarity with research-level mathematical thinking beyond standard coursework

What Sets This Role Apart

• Focus on mathematical research thinking, not curriculum delivery

• Opportunity to guide motivated students through genuine exploration

• High intellectual autonomy in designing and mentoring projects

• Work with high-ability students in a structured mentorship environment

Key Responsibilities

Research Guidance & Project Development

Work 1-on-1 with students to refine questions, develop frameworks, and guide structured exploration.

Conceptual Mentorship

Build strong foundational understanding by breaking down sophisticated ideas into accessible but rigorous components.

Writing & Output Development

Support students in organizing ideas into clear, logically structured research papers or project reports.

Progress Tracking & Accountability

Maintain steady progress through regular sessions, feedback loops, and milestone planning.