In this section, there is a list of all mathematics classes I have taken with my lecture notes and midterm examinations and final examinations with hints.

Fall 2017 - Math 375 (Multi-Variable Calculus And Linear Algebra)

Spring 2018 - Math 376 (Multi-Variable Calculus And Differential Equations), Math 541 (Abstract Algebra I)

Summer 2018 - Math 435 (Introduction to Cryptography), Math 521 (Real Analysis I)

Fall 2018 - Math 522 (Real Analysis II), Math 551 (Elementary Topology), Math 623 (Complex Analysis)

Spring 2018 - Math 542 (Abstract Algebra II), Math 761 (Differential Manifolds)

Fall 2019 - Math 571 (Mathematical Logic), Math 721 (A First Course in Real Analysis), Math 733 (Theory of Probability I)

Spring 2020 - Math 716 (Graduate Ordinary Differential Equations), Math 725 (A Second Course in Real Analysis), Math 734 (Theory of Probability II)?

Fall 2018: Dirichlet's Theorem: Prime Number(s) in an Arithmetic Progression:

• Apostol, Tom M. Introduction to Analytic Number Theory. Springer, 2010.
• Here is a presentation for the program

On the Convergence to Equilibrium of Discrete Quantum Boltzmann Equations, (with Gheorghe Craciun), 2019 (Coming soon!)

Dominating broadcast: A case study on cycle graph, sunlet graph, and their variations, 2017 Abstract Paper

Summer 2019: Park City Mathematics Institute (PCMI) 2019 Undergraduate Summer School

• 2 undergraduate courses
  • Gauge Theory, Gravitation, and Geometry
  • Low-dimensional Topology
• PCXML (Park City Experimental Mathematics Lab)
  • Benford's Law and the Waiting Times
    • The main idea is to investigate the behavior of the first digit of each number in particular sequences, such as a sequence of exponential numbers and a sequence of factorial numbers.
  • Here is my presentation. If you are curious about a proof of each theorem, you can directly contact me.