1st lesson free
Walter
- Price $50
- Answer 1h
$50/h
Contact
1st lesson free
- Algebra
- Trigonometry
- Geometry
- Logic
Algebra with 10 years of experience, covering Galois theory, algebraic number theory, and advanced topics for research students.
- Algebra
- Trigonometry
- Geometry
- Logic
Lesson location
-
At Walter's house: Adelaide
- online
-
at home or in a public space : will travel up to 30km from Adelaide
-
About Walter
Algebra tutor with 10 years of experience teaching advanced university and graduate students. Have taught around 300 students, helping many excel in abstract algebra and pursue research careers. I am known for rigorous and deep teaching. I provide comprehensive notes, proofs, and research guidance. I am available for research mentorship and advanced study preparation. Many of my students have successfully completed their graduate studies and published research papers in algebra.
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About the lesson
- All Levels
- English
All languages in which the lesson is available :
English
My teaching approach for Algebra is built on rigorous theory and abstract reasoning. I cover Galois theory in depth, including field extensions, splitting fields, algebraic closures, Galois groups, fundamental theorem of Galois theory, and applications in solving polynomial equations by radicals. I teach algebraic number theory, including algebraic integers, ideals, norm, trace, discriminant, and applications in cryptography and algebraic geometry. I cover advanced topics like representation theory and homological algebra basics. I use a combination of abstract reasoning and concrete examples to make these advanced topics accessible. I provide detailed notes, proofs, and problem sets that emphasize both theoretical understanding and problem-solving skills. I assign homework that includes proof writing, theorem applications, and research-style problems. I conduct regular tests and provide detailed feedback on reasoning and clarity. I maintain a progress log and offer additional support for challenging topics. My goal is to prepare you for PhD-level research in algebra and related fields.
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Rates
Price
- $50
Pack prices
- 5h: $250
- 10h: $500
online
- $50/h
free lessons
The first lesson with Walter will allow you to get to know each other and discuss your needs for future lessons.
- 1hr
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