Aleksander Horawa

Current courses

I'm not currently teaching.

Master's students

I supervised the following master's students at the University of Oxford:

• Lewis Bushen, Torsion in Elliptic Curves, 2023/24.
• Ewan Neumann, Torsion in Abelian Varieties with CM, 2023/24.
• Allan Perez, Torsion in Elliptic Curves, 2023/24.
• Vincent Wellerschoff, Langlands--Tunnell and the Modularity Theorem, 2023/24.
• Tamara Istrate, The Congruent Number Problem, 2022/23.
• Julie Tavernier, The Route to Fermat's Last Theorem, 2022/23.
• Max Mackie, The Congruent Number Problem, 2022/23.
• Gavin Bala, Modular Forms and Elliptic Curves, 2022/23.

Past courses

At Oxford, I taught for the following classes:

• Hilary 2024: tutor for M1 (Linear Algebra II), Merton College.
• Michaelmas 2022: tutor for B3.1 (Galois theory), Intercollegiate class.

At Michigan, I taught the following courses:

• Spring 2022: Math 115 (Calculus 1), Section 101,
• Fall 2020: Math 115 (Calculus 1), Section 037,
• Spring 2020: Math 115 (Calculus 1), Section 105,
• Fall 2019: Graduate Student Mentor (helping coordinators and instructors),
• Winter 2019: Math 116 (Calculus 2), Section 090,
• Fall 2018: Math 115 (Calculus 1), Section 038,
• Winter 2018: Math 115 (Calculus 1), course coordinator,
• Fall 2017: Math 115 (Calculus 1), Section 064,
• Winter 2017: Math 115 (Calculus 1), Section 083,
• Fall 2016: Math 105 (Pre-calculus), Section 024.

In 2021, I received the Department of Mathematics Outstanding Teaching Award.
Previously, I was awarded an Honored Instructor award in Winter 2019.

Directed Reading Program

I was part of the organizing committee of the Directed Reading Program at the University of Michigan. Check out the website for the newest updates.

I mentored the following students as part of the program:

• Rajas Gupta, The Riemann Hypothesis, Winter 2021.
• Yuqing Liu, Primes of the form x^2 + ny^2, Winter 2020.
• John Haviland, Algebraic curves, Fall 2019.
• Robert Larase, Elliptic curves and cryptography, Winter 2019.

Desmos graphs and other illustrations

These are some illustrations of mathematical concepts (some I made myself, some I found online). Press on "edit graph on Desmos" to see the full, interactive animations.

Slope field and solution generator: http://slopefield.nathangrigg.net/

Area in Polar coordinates

Parametric equations

Taylor Series Approximations

Right Riemann Sums