#

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.

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.

#### Area in Polar coordinates

#### Parametric equations

#### Taylor Series Approximations

#### Right Riemann Sums