Yu Li
Contacts
E-mail: y2933li@uwaterloo.ca
GitHub: https://github.com/Egregium12
LinkedIn: https://www.linkedin.com/in/yu-li-ab3536203/
Twitter: @LiYu68479294
Instagram: li_yu_12
About Me
I am currently a third-year undergraduate student at the University of Waterloo in Waterloo, ON, Canada. My main fields of study are Mathematical Physics and Pure Mathematics. I am currently interested in Quantum Mechanics, Quantum Information and Astrophysics.
I like music, fiction, animes and movies. When I lived in Alberta, I often went hiking in the mountains. I am a strongly self-motivated learner, willing to devote myself to anything that arouses my curiosity.
My CV is available here.
Here is a music playlist that I built (mainly anime music):
Awards, Grants & Honours
- Faculty of Mathematics National Scholarship
- NSERC Undergraduate Student Research Award
- University of Waterloo President’s Scholarship of Distinction
- Faculty of Mathematics Promissory Scholarship
- Term Distinction (Fall 2020, Winter 2021, Spring 2021, Fall 2021, Winter 2022)
- 2019 Euclid mathematics contest top 0.3%
- 2019 Fermat mathematics contest gold medalist
Summer Research & Summer School
NSERC Undergraduate Student Research Award under the supervision of Niayesh Afshordi.
Teaching
MATH 237 (Multivariable Calculus for Honours Mathematics) Teaching Assistant/Marker
UCL PHAS0022 (Quantum Physics) Tutor
Talk
Canadian Astro-Particle Physics Summer Student Talk Competition (CASST): about my NSERC project on probing exotic scalar fields. Link
Projects
NSERC Undergraduate Research Award project: Probing Exotic Fields. This project was conducted under the supervision of Professor Niayesh Afshordi and PhD candidate Conner Dailey. We were studying the possible exotic scalar field radiations emitted from high-energy astrophysics events like Binary Black Hole mergers. We believed that such radiations could be probed by the GPS system. Link to the code
An Introductory Theoretical Mechanics book for high school students. It was written in Chinese.
AMATH 271 final project: a research on the motion of the double pendulum system. Link to the code Link to the animations
AMATH 251 project: a project on the numerical methods of ODEs. Link to the code
CS 115 final project: a Racket program that generates the Pythagoras tree.
CS 116 final project: a Python program that solves Kenken puzzles using the graph searching algorithm.
Coursework
Here are the courses that I will have taken by the end of the Fall 2022 term at the University of Waterloo.
| Course Number | Title | Instructor | Lecture Notes/Textbook | Status of Notes |
|---|---|---|---|---|
| Calculus & Analysis | ||||
| MATH 147 | Analysis I | Brian. Forrest & Laurent Marcoux | MATH 147 Supplementary Topics | Completed |
| MATH 148 | Analysis II | Stephen New | MATH 148 | Completed |
| MATH 247 | Analysis III | Blake Madill | MATH 247 | Completed |
| PMATH 351 | Real Analysis | Stephen New | PMATH 351 | Completed |
| PMATH 352 | Complex Analysis | Spiro Karigiannis | Complex Variables: Harmonic and Analytic Functions by F.J.Flanigan | |
| AMATH 231 | Vector Calculus | Michael Waite | AMATH 231 | Completed |
| Algebra | ||||
| MATH 145 | Foundation of Mathematics & Introductory Algebra | Nicholas Rollick | MATH 145 | Completed |
| MATH 146 | Linear Algebra I | Ross Willard & Giang Tran | MATH 146 | Completed |
| MATH 245 | Linear Algebra II | Matthew Kennedy | MATH 245 | Completed |
| PMATH 343 | Introduction to Mathematics for Quantum Information | David Gosset | PMATH 343 | Completed |
| PMATH 347 | Groups and Rings | Yu-Ru Liu | Not yet available | |
| Differential Equations | ||||
| AMATH 251 | Ordinary Differential Equations I | Kevin Lamb | AMATH 251 | Completed |
| AMATH 353 | Partial Differential Equations | Sivabal Sivaloganathan | AMATH 353 & Applied Partial Differrential Equations by Richard Haberman | Completed |
| AMATH 351 | Ordinary Differential Equations II | Sue Ann Campbell | AMATH 351 | Completed |
| Geometry | ||||
| PMATH 321 | Non-Euclidean Geometry | Stephen New | PMATH 321 | Completed |
| Physics | ||||
| PHYS 121 | Mechanics | Richard Epp & Karen Cummings | University Physics with Modern Physics by Young & Freedman | |
| PHYS 122 | Waves, Electricity & Magnetism | Karen Cummings & Robert Mann | University Physics with Modern Physics by Young & Freedman | |
| PHYS 175 | Introduction to the Universe | Richard Epp | PHYS 175 | Completed |
| AMATH 271 | Theoretical Mechanics | Michael Waite | Classical Mechanics by J.R.Taylor | |
| PHYS 234 | Elementary Quantum Mechanics | Raffi Budakian | PHYS 234 | Completed |
| PHYS 242 | Electrodynamics I | Bae-Yeun Ha | Introduction to Electrodynamics by David Griffiths | |
| AMATH 373 | Quantum Theory I | Zoran Miskovic | AMATH 373 | Completed |
| PHYS 342 | Electrodynamics II | Matteo Mariantoni | PHYS 342 | Completed |
| PHYS 442 | Electrodynamics III | Chris O’Donovan | PHYS 442 & Introduction to Electrodynamics by David Griffiths | Completed |
| PHYS 475 | Cosmology | Will Percival | Introduction to Cosmology by Barbara Ryden | |
| AMATH 473 | Quantum Theory II | Achim Kempf | AMATH 473 | Completed |
| Statistics | ||||
| STAT 230 | Probability Theory | STAT 230 Instructional Team | STAT 230 | Completed |
| Computer Science | ||||
| CS 115 | Introduction to Computer Science I | CS 115 Instructional Team | Not available | |
| CS 116 | Introduction to Computer Science II | CS 116 Instructional Team | Not available |
Lecture notes are for learning purposes only. The copyright belongs to the authors. The lecture notes labelled “incomplete” will be updated once they are completed. The lecture notes labelled “not available” are either courses that do not have lecture notes or courses that have not been taken yet. They will be updated once they are available.
If you find any mistake in any of these notes, please contact me. I will correct them as soon as possible.