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Algebraic Number Theory Jobs (NOW HIRING)

Deep knowledge of number theory, combinatorics, modular arithmetic, geometric proofs, algebraic manipulations, inequalities, Diophantine equations, and probability for contests including AMC 8, AMC ...

Competition Math Tutor

IN · Remote

$40/hr

Deep knowledge of number theory, combinatorics, modular arithmetic, geometric proofs, algebraic manipulations, inequalities, Diophantine equations, and probability for contests including AMC 8, AMC ...

Deep knowledge of number theory, combinatorics, modular arithmetic, geometric proofs, algebraic manipulations, inequalities, Diophantine equations, and probability for contests including AMC 8, AMC ...

Deep knowledge of number theory, combinatorics, modular arithmetic, geometric proofs, algebraic manipulations, inequalities, Diophantine equations, and probability for contests including AMC 8, AMC ...

Deep knowledge of number theory, combinatorics, modular arithmetic, geometric proofs, algebraic manipulations, inequalities, Diophantine equations, and probability for contests including AMC 8, AMC ...

Deep knowledge of number theory, combinatorics, modular arithmetic, geometric proofs, algebraic manipulations, inequalities, Diophantine equations, and probability for contests including AMC 8, AMC ...

Competition Math Tutor

ID · Remote

$40/hr

Deep knowledge of number theory, combinatorics, modular arithmetic, geometric proofs, algebraic manipulations, inequalities, Diophantine equations, and probability for contests including AMC 8, AMC ...

Deep knowledge of number theory, combinatorics, modular arithmetic, geometric proofs, algebraic manipulations, inequalities, Diophantine equations, and probability for contests including AMC 8, AMC ...

Deep knowledge of number theory, combinatorics, modular arithmetic, geometric proofs, algebraic manipulations, inequalities, Diophantine equations, and probability for contests including AMC 8, AMC ...

Competition Math Tutor

OK · Remote

$40/hr

Deep knowledge of number theory, combinatorics, modular arithmetic, geometric proofs, algebraic manipulations, inequalities, Diophantine equations, and probability for contests including AMC 8, AMC ...

Competition Math Tutor

LA · Remote

$40/hr

Deep knowledge of number theory, combinatorics, modular arithmetic, geometric proofs, algebraic manipulations, inequalities, Diophantine equations, and probability for contests including AMC 8, AMC ...

Deep knowledge of number theory, combinatorics, modular arithmetic, geometric proofs, algebraic manipulations, inequalities, Diophantine equations, and probability for contests including AMC 8, AMC ...

Deep knowledge of number theory, combinatorics, modular arithmetic, geometric proofs, algebraic manipulations, inequalities, Diophantine equations, and probability for contests including AMC 8, AMC ...

Deep knowledge of number theory, combinatorics, modular arithmetic, geometric proofs, algebraic manipulations, inequalities, Diophantine equations, and probability for contests including AMC 8, AMC ...

Deep knowledge of number theory, combinatorics, modular arithmetic, geometric proofs, algebraic manipulations, inequalities, Diophantine equations, and probability for contests including AMC 8, AMC ...

Deep knowledge of number theory, combinatorics, modular arithmetic, geometric proofs, algebraic manipulations, inequalities, Diophantine equations, and probability for contests including AMC 8, AMC ...

Deep knowledge of number theory, combinatorics, modular arithmetic, geometric proofs, algebraic manipulations, inequalities, Diophantine equations, and probability for contests including AMC 8, AMC ...

Competition Math Tutor

SC · Remote

$40/hr

Deep knowledge of number theory, combinatorics, modular arithmetic, geometric proofs, algebraic manipulations, inequalities, Diophantine equations, and probability for contests including AMC 8, AMC ...

Deep knowledge of number theory, combinatorics, modular arithmetic, geometric proofs, algebraic manipulations, inequalities, Diophantine equations, and probability for contests including AMC 8, AMC ...

Competition Math Tutor

NJ · Remote

$40/hr

Deep knowledge of number theory, combinatorics, modular arithmetic, geometric proofs, algebraic manipulations, inequalities, Diophantine equations, and probability for contests including AMC 8, AMC ...

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Algebraic Number Theory information

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How much do algebraic number theory jobs pay per hour?

As of Jun 8, 2026, the average hourly pay for algebraic number theory in the United States is $22.74, according to ZipRecruiter salary data. Most workers in this role earn between $19.23 and $25.24 per hour, depending on experience, location, and employer.

What are the key skills and qualifications needed to thrive as an Algebraic Number Theorist, and why are they important?

To excel as an Algebraic Number Theorist, you need a strong background in advanced mathematics, particularly in algebra, number theory, and often a PhD in mathematics. Familiarity with mathematical software such as SageMath, Magma, or Mathematica, and sometimes experience with programming languages like Python, is typical. Analytical thinking, creativity, and clear written and verbal communication are essential soft skills in this field. These competencies are crucial for conducting original research, solving complex mathematical problems, and collaborating or publishing within the mathematical community.

What are some common challenges faced when working as an algebraic number theorist in an academic or research setting?

One of the main challenges in algebraic number theory is staying current with rapidly evolving research and techniques, as the field is highly specialized and mathematically complex. Collaboration is often essential, requiring effective communication with peers who may have diverse mathematical backgrounds. Additionally, balancing time between conducting independent research, publishing results, and teaching or mentoring students can be demanding. Building a strong network through conferences and seminars is also crucial for career development and keeping up with new ideas.

What is algebraic number theory?

Algebraic number theory is a branch of mathematics that studies the properties of numbers using techniques from abstract algebra, particularly fields and rings. It deals with algebraic numbers, which are complex numbers that are roots of non-zero polynomial equations with integer coefficients. This area of mathematics explores concepts such as number fields, prime factorization, and class groups, and it has applications in cryptography and coding theory. Researchers in this field seek to understand the structure and behavior of numbers beyond the integers and rationals, often working with more general algebraic structures.

What is the difference between Algebraic Number Theory vs Number Theorist?

AspectAlgebraic Number TheoryNumber Theorist
Required credentialsMathematics degree, possibly advanced specializationMathematics degree, research experience
Work environmentAcademic, research institutions, universitiesAcademic, research institutions, universities
Employer and industry usageUniversities, research labs, government agenciesUniversities, research institutes, think tanks
Common search and comparison intentUnderstanding specialized mathematical fieldsCareer options in pure mathematics

Algebraic Number Theory is a specialized branch of mathematics focusing on properties of algebraic numbers, while a Number Theorist is a professional working in the field of number theory, often conducting research or teaching. The roles overlap in education and research settings, but Algebraic Number Theory refers to the specific subject area, whereas Number Theorist describes the job title of a professional working within that or related areas.

Infographic showing various Algebraic Number Theory job openings in the United States as of May 2026, with employment types broken down into 62% Full Time, and 38% Part Time. Highlights an 84% In-person, 8% Hybrid, and 8% Remote job distribution, with an average salary of $47,309 per year, or $22.7 per hour.
Competition Math Tutor

Competition Math Tutor

Varsity Tutors

Columbia, MO • Remote

$40/hr

Part-time

Posted 6 days ago


Varsity Tutors rating

5.7

Company rating: 5.7 out of 10

Based on 16 frontline employees who took The Breakroom Quiz

13th of 21 rated private schools and tutoring


Job description

About the Job
The Varsity Tutors Live Learning Platform has thousands of students looking for online Competition Math tutors nationally. As a tutor on the Varsity Tutors Platform, you'll have the flexibility to set your own schedule, earn competitive rates, and make a real impact on students' academic success and understanding. All from the comfort of your home.
Why Join Our Platform?
  • Earn incrementally higher pay for each session with the same student, reaching up to $40/hour.
  • Get paid up to twice per week, ensuring fast and reliable compensation for the tutoring sessions you conduct and invoice.
  • Set your own hours and tutor as much as you'd like.
  • Tutor remotely using our purpose-built Live Learning Platform. No commuting required.
  • Get matched with students best-suited to your teaching style and expertise.
  • Our AI-powered Tutor Copilot enhances your sessions with real-time instructional support, lesson generation, and engagement features, helping you save prep time and focus on impactful teaching.
  • We handle the logistics—you just invoice for your tutoring sessions, and we take care of payments.

What We Look For In a Competition Math Tutor
  • Advanced Subject Mastery: Deep knowledge of number theory, combinatorics, modular arithmetic, geometric proofs, algebraic manipulations, inequalities, Diophantine equations, and probability for contests including AMC 8, AMC 10, AMC 12, MATHCOUNTS, and AIME. Ability to explain problem-solving heuristics, pigeonhole principle, and proof techniques while preparing students for competitive mathematics advancement.
  • Conceptual Teaching & Problem-Solving: Skilled at breaking down non-routine problems requiring creative approaches and multiple solution strategies. Guides students through constructing elegant proofs, recognizing problem patterns, applying casework and symmetry arguments, and developing competition time management skills. Emphasizes mathematical creativity and resilience, connecting problem-solving techniques across algebra, geometry, and combinatorics.
  • Curriculum Awareness & Adaptive Instruction: Familiar with competition math syllabi from AMC, MATHCOUNTS, and Math Olympiad programs, and common challenges such as transitioning from computational to proof-based problems and managing contest time pressure. Adapts instruction using historical contest problems, difficulty scaffolding, and targeted topic drills to support students from beginner through advanced competition levels.
  • Effective Teaching Methods: Ability to identify concepts students commonly struggle with, explain material using multiple approaches, and adapt instruction to meet individual learning needs and styles.
  • Strong communication skills and a friendly, engaging teaching style.
  • Ability to adapt to different learning styles and student needs.

Ways To Connect With Students
  • 1-on-1 Online Tutoring - Provide personalized instruction to individual students.
  • Instant Tutoring - Accept on-demand tutoring requests whenever you're available.

About Varsity Tutors And 1-on-1 Online Tutoring
Our mission is to transform the way people learn by leveraging advanced technology, AI, and the latest in learning science to create personalized learning experiences. Through 1-on-1 Online Tutoring, students receive customized instruction that helps them achieve their learning goals. Our platform is designed to match students with the right tutors, fostering better outcomes and a passion for learning.
Please note: Varsity Tutors does not contract in: Alaska, California, Colorado, Delaware, Hawaii, Maine, New Hampshire, North Dakota, Vermont, West Virginia or Puerto Rico.

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