Danny Crytser · PhD, Mathematics — Dartmouth College

Math and CS tutoring for the courses that separate the strong from the struggling.

Remote tutoring for university students working through real analysis, discrete math, theoretical CS, and the other courses that don't forgive gaps. Taught by a former professor, now tutoring full-time.

Background

I earned my PhD in mathematics from Dartmouth in 2014, then spent seven years on the academic track — a postdoc at Kansas State and a visiting professorship at St. Lawrence University — teaching and researching before moving to full-time tutoring in 2020. I work almost entirely with students at Ivy League and top-20 universities, in courses where the material moves fast and the margin for confusion is thin.

2014
PhD, Mathematics
Dartmouth College
2014–2017
Postdoctoral Fellow
Kansas State University
2017–2020
Visiting Professor
St. Lawrence University
2020–present
Full-time Tutor
Remote, university-level
Areas of study

What I tutor

A sample of courses I've tutored students through recently — organized the way a course catalog would, not a service menu.

Foundations & Analysis

Real AnalysisMaryland · UNC
Functional AnalysisUT Austin
Complex AnalysisWisconsin
TopologyUC Irvine
Differential GeometryUC Irvine

Discrete Math & Combinatorics

Discrete MathematicsCornell · Stanford
Combinatorics (graduate)
Applied Linear AlgebraStanford

Probability & Statistics

Probability TheoryStanford
Discrete ProbabilityRutgers · Stanford
Linear ModelsUT Austin

Theoretical & Applied Computer Science

Formal Languages / Theory of ComputingColumbia
Cryptography & Number TheoryStanford
Intro to CodingStanford

Also taught as instructor of record

Before tutoring, I designed and taught these courses from the front of the room.

Topology — Dartmouth Honors Linear Algebra — Dartmouth Calculus I — Dartmouth Calculus I — St. Lawrence Real Analysis — St. Lawrence Discrete Mathematics — Kansas State College Algebra — Kansas State Differential Equations — Kansas State Graduate Probability — Kansas State
From students

What it's like to work with me

"I started working with Danny right after getting a 54 on an exam. In the subsequent weeks, I leveled up with his help and got a B in the course. Great use of the boards, no hesitation to spend extra time on a subject, extremely patient."

— Complex Analysis student

"I'm taking College Matrix Theory and he simplifies everything so well — I'm genuinely able to understand the concepts now."

— Stanford, multiple courses

"His ability to break down complex concepts and make them understandable has made a huge difference in my confidence and performance."

— Real Analysis student

"Danny has a broad knowledge of graduate-level mathematics. He pointed out and explained important results and milestones even outside his specialty. I came away with a plan to move forward."

— Independent graduate learner
Sessions are remote, one-on-one, by video

Book a session

Sessions run 60 or 90 minutes. First-time students are welcome to start with a single session before committing to a weekly slot.

Recurring weekly slots available · Response within 24 hours