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Amabilis
- Rate US$47
- Response 1h
US$47/hr
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- Mathematics
MIT and Princeton PhD Candidate in String Field Theory and Yang‑Mills Research Offering Rigorous Theoretical Physics, Pure Mathematics, and Philosophy Coaching from Grade 12 through Postdoctoral Level
- Mathematics
Lesson location
About Amabilis
Hello! I’m Amabilis Dante Ignatius, an MIT and Princeton PhD candidate passionately exploring String Field Theory and Yang-Mills research. With a foundation of academic excellence—having graduated top of my class in high school and maintained a 90%+ average across all subjects—I bring both deep subject-matter expertise and a proven track record of guiding students to their own “aha!” moments. Over the past several years, I’ve honed a teaching approach rooted in the Feynman Technique and the latest active-learning research. Whether you’re a Grade 12 student grappling with multivariable calculus, an undergraduate wrestling with gauge theory, or a postdoctoral researcher refining a manuscript, I tailor each session to your individual goals, breaking complex ideas into clear, bite-sized steps and using Socratic questioning to help you discover solutions independently. As a former peer mentor and Tutor Assistant at Red Deer Polytechnic, I know the importance of professionalism, reliability, and respect. You’ll always receive well-structured lesson plans, prompt feedback on assignments, and clear guidance on what to study next. My sessions leverage interactive tools—such as Mathematica notebooks for symbolic exploration and dynamic visualizations—to bring abstract theories vividly to life. Above all, I’m committed to your success. By blending rigorous research insights with warm, supportive mentorship, I aim to inspire confidence, deepen your understanding, and empower you to think—and solve—like a true theoretical physicist and mathematician. I look forward to helping you achieve your highest academic ambitions!
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About the lesson
- Pre-School
- Secondary School
- Adult Education
- +3
levels :
Pre-School
Secondary School
Adult Education
Higher Education
Master
Doctorate
- English
All languages in which the lesson is available :
English
Teaching Methodology and Techniques
Feynman Technique at the Core
I break every concept down into its simplest form by “teaching” it back in plain language—first to myself, then to you—identifying gaps and refining explanations until the idea is crystal‑clear.
Research‑Based Active Learning
• Spaced Retrieval & Interleaving: I schedule short, cumulative quizzes and mix problem types to solidify long‑term retention.
• Socratic Questioning: I guide you to discover key insights yourself, fostering deeper understanding and critical thinking.
• Conceptual Mapping: We build visual maps linking mathematical structures or physical principles, highlighting how each piece fits into the larger theoretical framework.
Customized Scaffolding
I assess your current level and tailor each step—whether proving a lemma rigorously, constructing a string field action, or unpacking a philosophical argument—so you’re always challenged but never overwhelmed.
Typical Lesson Plan
Pre‑Session Check‑In (5 min)
Review last session’s takeaways and any questions you’ve encountered during independent study.
Learning Objective & Big Picture (5 min)
“Today we’ll derive the Yang–Mills field equations from a variational principle and connect them to gauge symmetry.”
Conceptual Exploration (15 min)
• I present the core idea via a Feynman‑style “teaching back” in simple terms.
• We draw a concept map linking gauge potentials, field strengths, and action principles.
Guided Problem Solving (20 min)
Together we work through a graded problem set—from verifying small identities to tackling a more involved variation calculation—using Socratic prompts to steer your reasoning.
Independent Practice & Instant Feedback (10 min)
You attempt a new but related problem while I circulate feedback, correcting misconceptions immediately.
Reflection & Next Steps (5 min)
We summarize key insights, set “thinking questions” for spaced retrieval, and outline preparatory reading or problem sets for our next meeting.
What Sets Me Apart
Research‑Level Expertise: As an active PhD candidate in String Field Theory and Yang–Mills research at MIT, I bring the frontiers of theoretical physics and pure mathematics straight into our sessions.
Philosophical Rigor: I interweave philosophy of science—so you don’t just compute, you understand why each formal step matters for our picture of reality.
Proven Mentoring Track Record: My peer‑mentoring experience in high school and as a Tutor Assistant at Red Deer Polytechnic has honed my ability to adapt explanations to every student’s unique learning style.
Technology‑Enhanced Learning: I leverage interactive simulation tools (e.g., Mathematica notebooks for symbolic exploration, geometric visualization apps) to make abstract concepts tangible.
Who These Lessons Are For
Academic Range:
• Senior high‑school students (Grade 12) preparing for university STEM tracks
• Undergraduate majors in Physics, Mathematics, or Philosophy—especially those taking courses like Real Analysis, Quantum Mechanics, General Relativity, or Philosophy of Physics
• Graduate students and early post‑docs seeking one‑on‑one guidance on advanced topics (e.g., path integrals in string field theory, non‑perturbative Yang–Mills problems)
Specific Needs:
• Strengthening proof‑writing and rigorous reasoning
• Mastering research‑level techniques in field theory and differential geometry
• Clarifying conceptual foundations before tackling frontier research questions
• Developing personalized study plans for comprehensive exams or thesis preparation
My goal is to empower you not just to solve equations, but to think like a theoretical physicist and a pure mathematician—confidently, creatively, and with a deep appreciation for the unity of ideas.
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Rates
Rate
- US$47
Pack prices
- 5h: US$233
- 10h: US$467
online
- US$47/h
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