A student's week is a stack of artifacts: lecture notes that need to compress into a study guide, a flashcard deck for tomorrow's quiz, a term paper with real citations, a LaTeX document that has to compile without a 2am yak-shave, a stack of research papers to skim before discussion section, and the one hard olympiad problem you've been stuck on for three days. The gap between the student who runs a tight study loop and the one who improvises is usually the gap between a 3.9 and a 3.3. The seven skills below cover that surface area. Each is a real, verified Claude Code skill from a plugin with public commit history and real star counts.
From the claude-skills plugin (13 stars). Creates comprehensive study guides — key concepts, mnemonics, practice problems, and exam strategies. The act of making a good study guide is most of the learning; reading a textbook chapter is almost none of it. The skill enforces the structure of an actually useful guide: a tight key-concept list, mnemonics for what has to be memorized cold, practice problems with worked solutions, and a strategy paragraph for the exam itself. Feed it a chapter or your raw lecture notes and you get back the artifact a study group would have taken three hours to produce.
When to use: the weekend before a midterm and at the end of every chapter while the material is fresh enough that gaps in your notes are obvious. Run it before flashcard-maker below so the cards get pulled from a structured guide rather than a Ctrl-F through your notes. Pair it with the Students persona collection for the rest of the academic stack.
Also from claude-skills. Prepares for exams with practice tests, weak-area drills, timed quizzes, and performance feedback. The single highest-leverage move a student can make in the week before an exam is to take a real, timed practice test under exam conditions — and almost nobody does it, because writing the practice test is the hard part. The skill writes it, tracks weak areas across attempts so the second drill is specifically the topics you missed on the first, and the timed-quiz mode forces the pacing problem out into the open while there is still time to fix it.
When to use: seven days out (diagnostic — find the weak areas), three days out (targeted drilling on those areas), and one day out (full timed practice test to calibrate pacing). Run it downstream of study-guide so the questions pull from the key-concept list you already structured. Pair it with the data-analyst skill stack if your exam involves statistics or quantitative analysis.
Also from claude-skills. Creates Anki-compatible flashcard decks — spaced repetition, cloze deletions, images, and export to CSV and APKG. Spaced repetition is the most rigorously evidence-backed study technique in cognitive science, but almost every student bounces off the same wall: making good cards is tedious, and bad cards are worse than no cards. The skill writes the cards for you, puts cloze deletions on the load-bearing words rather than the connective tissue, and exports straight to APKG so you drop the deck into Anki without a single copy-paste. CSV export covers Quizlet and RemNote.
When to use: the day after a lecture while context is fresh, and immediately after writing a study guide so the cards mirror its structure. The deck created today becomes tomorrow's morning review, next week's pre-quiz refresher, and next month's pre-final cold recall. Pair it with citation-manager below if you are building a deck of academic sources for a literature review.
Also from claude-skills. Formats and manages citations in APA, MLA, Chicago, IEEE, and Vancouver styles with BibTeX export. Citation formatting is the part of academic writing that consumes the most time and adds the least understanding. The skill removes it entirely: drop in a DOI, arXiv ID, URL, or raw reference, and you get back a correctly formatted citation in the style your professor specified, plus a BibTeX entry that drops straight into your reference manager or LaTeX project. The Vancouver and IEEE coverage matters for STEM majors whose tools usually only handle APA cleanly.
When to use: every time you add a source to a paper (do it as you go — citation backlogs at midnight before a deadline are how things go wrong), and at the start of any literature review when you need to convert a folder of PDFs into a clean bibliography. Pair it with latex-writer below for the full thesis pipeline, and with research-summarizer for turning each cited paper into a one-paragraph note.
Also from claude-skills. Authors and compiles LaTeX documents — academic papers, theses, mathematical equations, bibliographies, and Beamer presentations. LaTeX is the lingua franca of math, physics, CS, and economics, and the on-ramp is brutal: the first paper takes a week and the first "missing \$ inserted" error loses you an evening. The skill writes the boilerplate, handles equation environments correctly (the difference between align, aligned, and gather stops being a quiz), and produces a Beamer deck that looks like an actual conference talk instead of the default blue-and-grey template. It writes the bibliography file in a format citation-manager hands off cleanly.
When to use: any time the assignment requires LaTeX output, the first time you have to typeset equations for a math or physics class, any thesis or capstone project (start in LaTeX, never migrate into it from Word), and for course presentations where Beamer is the expected format. Pair it with citation-manager for the bibliography half of the workflow, and with the technical-writer skill stack for the prose-quality half.
Also from claude-skills. Summarizes research papers with abstracts, key findings, methodology critique, and practical implications. The undergraduate version of "I read the paper" is reading the abstract and conclusion; the graduate version reads the methods, figures, and limitations too. The skill produces the graduate version automatically, including the methodology critique (was the sample size adequate? was the statistical test the right one? did the authors hedge?). That critique turns a passive summary into something you can defend in discussion section.
When to use: before every discussion section where you are expected to have read the paper, at the start of any literature review (run it on each paper, then synthesize), and any time a citation in another paper looks load-bearing enough to chase to the original. The companion claude-skills/literature-reviewer skill takes a folder of these summaries and produces the synthesis pass — gaps, themes, contradictions across the literature. Together they replace the most painful part of a thesis.
From the math-olympiad plugin (27,479 stars). Solves competition math problems (IMO, Putnam, USAMO, AIME) with adversarial verification that catches the errors self-verification misses. The mechanism is what makes it useful: pure reasoning first, then a fresh-context adversarial verifier attacks the proof using specific failure patterns rather than the useless "check the logic" pass that lets bad proofs through. It outputs calibrated confidence — it will say "no confident solution" instead of bluffing — and if LaTeX is available it produces a clean PDF after verification passes. For Putnam prep, USAMO study, or any honors-level proof-based course, this is the difference between a tool that hallucinates a wrong-but-plausible proof and one that knows when it is stuck.
When to use: any olympiad problem you have been stuck on for more than thirty minutes, as a verifier on proofs you have written yourself (run the adversarial pass against your own work before submitting), and as a study companion for proof-based courses like real analysis, abstract algebra, or combinatorics. Pair it with latex-writer for clean typeset solutions.
How to install
Each skill lives inside a plugin. Add the plugin marketplace once, then install with a single command — the skill detail page on Skill Index has the exact install string and a copy button. The highest-ROI sequence for a student: start with study-guide so every chapter compresses into a real artifact, then flashcard-maker so the guide flows into a spaced-repetition deck. Layer in exam-prep a week before any exam, and reach for citation-manager and latex-writer the moment any paper or thesis is on the table. Add research-summarizer for reading-heavy courses, and keep math-olympiad for competition prep or proof-based classes where confident wrongness is the failure mode to avoid. Pair the output with the rest of the thicket toolkit — screenshots via capture.thicket.sh, QR codes for group-project handouts via qr.thicket.sh, and deep-work blocks via focus.thicket.sh — and the semester stops being a Tetris game of deadlines and starts being a loop you can actually run.