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# Michael Rushka

**Headline:** PhD student, Northwestern University Engineering Sciences and Applied Mathematics
**Profession:** PHD Student
**Location:** Evanston, Illinois, United States

## About

Michael Rushka is a PhD student in Engineering Sciences and Applied Mathematics at Northwestern University, where he began graduate study in September 2023\. His work centers on machine learning, with interests in optimization and large language models, including theoretical research on the rank–accuracy tradeoff in low\-rank adaptation \(LoRA\) and an ongoing generative AI research collaboration with Allstate\. Michael also serves as a teaching assistant for multivariable calculus and applied linear algebra\. He earned a BS in physics and mathematics from Georgetown University in 2020 and brings experience across theoretical and experimental physics, mathematics instruction, and campus ministry\. As a Georgetown undergraduate, Michael completed a 40,000\-plus\-word thesis on symbolic operator algebra methods in quantum mechanics and their application to the hydrogen atom a paper based on the thesis was published in the Journal of Mathematical Physics\. Before Northwestern, he taught algebra II, precalculus, and AP Calculus AB at Cathedral High School\. Michael’s background also includes research using Atomic Force Microscopy to investigate polymers for potential MRI imaging and a year and a half discerning Roman Catholic priesthood and religious life in the Society of Jesus\.

## Services

- Analytical Skills
- Problem Solving
- Project Management
- Communication
- Research
- LaTeX
- Microsoft Excel
- Microsoft Office
- Google Suite

## Highlights

- Began a PhD in Engineering Sciences and Applied Mathematics at Northwestern University in September 2023\.
- Conducted theoretical research on the rank–accuracy tradeoff in low\-rank adaptation \(LoRA\)\.
- Engaged in an ongoing generative AI research collaboration with Allstate, subject to an NDA\.
- Served as a Northwestern teaching assistant for multivariable calculus and applied linear algebra\.
- Earned a BS in physics and mathematics from Georgetown University in 2020\.
- Completed a 40,000\-plus\-word undergraduate research thesis on symbolic operator algebra methods in quantum mechanics and their application to the hydrogen atom\.
- Published a paper based on his undergraduate thesis in the Journal of Mathematical Physics\.
- Used Atomic Force Microscopy to investigate polymer properties for potential MRI\-imaging use as a Georgetown research assistant\.
- Helped formulate a completely algebraic solution of the quantum mechanical harmonic oscillator during Georgetown’s summer Physics Research Experience for Undergraduates\.
- Investigated the pedagogical history of the harmonic oscillator in quantum mechanics textbooks and drafted a scientific paper for publication in the American Journal of Physics\.
- Served as a Georgetown teaching assistant for multivariable calculus, mathematical methods for physics, quantum mechanics, and number theory and cryptography from fall 2018 through spring 2020\.
- Taught algebra II, precalculus, and AP Calculus AB at Cathedral High School during the 2022–2023 academic year\.
- Assisted with summer physical education and remedial algebra I courses at Cathedral High School\.
- Held twice\-weekly mathematics office hours and assisted AP Calculus and linear algebra classes at Saint Ignatius High School\.
- Provided spiritual direction, organized spiritual discussion events, and held weekly finite\-mathematics office hours at the University of St\. Thomas\.

## Experience

- **PHD Student at Northwestern University Engineering Sciences and Applied Mathematics** (2023\-09\-01–present) — \*PhD student in applied mathematics \(started September 2023\) \*Teaching assistant for courses in multivariable calculus and applied linear algebra \*Conducted theoretical research on the rank–accuracy tradeoff in low\-rank adaptation \(LoRA\) \*Currently engaged in a generative AI research collaboration with Allstate \(NDA\)
- **Mathematics Teacher at Cathedral High School** (2022\-06\-01–2023\-06\-01) — \* Taught courses in algebra II, precalculus, and AP calculus AB \* Assisted with summer P\.E\. and remedial algebra I courses
- **Mathematics Tutor, Campus Minister at Saint Ignatius High School** (2022\-01\-01–2022\-03\-01) — \* Assisted with student retreats and immersion trips \* Prepared talks for students and faculty \* Assisted in AP Calculus and linear algebra classes \* Held mathematics office hours open to all students twice a week
- **Mathematics Tutor, Campus Minister at University of St\. Thomas** (2021\-08\-01–2021\-12\-01) — \* Provided spiritual direction to students \* Prepared spiritual discussion events for students \* Held weekly office hours for students in finite mathematics
- **Career transition at Career Break** (2020\-08\-01–2022\-03\-01) — \* Spent a year and a half after undergraduate studies discerning Roman Catholic priesthood and religious life \* Lived and volunteered in a religious community for a year and a half in various volunteer roles, including as a high school and college mathematics tutor and campus minister
- **Undergraduate Researcher at Georgetown University** (2019\-08\-01–2020\-05\-01) — \* Participated in 2\-semester capstone physics research course \* Investigated use of purely symbolic operator algebra methods in quantum mechanics \* Wrote 40,000\+ word research thesis detailing findings and their application to the hydrogen atom \* Published paper based on thesis in Journal of Mathematical Physics
- **Physics Research Experience for Undergraduates at Georgetown University** (2019\-05\-01–2019\-08\-01) — \* Participated in full\-time summer physics research program \* Helped formulate completely algebraic solution of quantum mechanical harmonic oscillator \* Investigated pedagogical history of the harmonic oscillator in quantum mechanics textbooks \* Drafted scientific paper detailing research findings for publication in American Journal of Physics
- **Teaching Assistant at Georgetown University** (2018\-09\-01–2020\-05\-01) — Spring 2020 – Number theory & cryptography Fall 2019 – Quantum mechanics Spring 2019 – Mathematical methods for physics Fall 2018 – Multivariable calculus \* Held weekly office hours tutoring students on exams and homework \* Graded assignments \* Hosted weekly recitation sections
- **Research Assistant at Georgetown University** (2017\-09\-01–2018\-05\-01) — Used Atomic Force Microscopy to investigate properties of polymer for potential use in MRI imaging
- **Front Desk Receptionist at JESUIT COMMUNITY AT GEORGETOWN** (2017\-08\-01–2020\-05\-01) — \* Front desk receptionist at on\-campus building for large residential community \* Received and directed incoming phone calls, guests, mail, etc\.

## Education

- Doctor of Philosophy \- PhD, Engineering Sciences and Applied Mathematics — Northwestern University (2023\-09\-01–2028\-06\-01)
- Bachelor of Science \- BS, Physics, Mathematics — Georgetown University (2016\-08\-01–2020\-05\-01)

## FAQ

### What does Michael do?

Michael is a PhD student in Northwestern University’s Engineering Sciences and Applied Mathematics program\. He began pursuing the degree in September 2023 and studies machine learning, with interests in optimization and large language models\.

### What research is Michael conducting at Northwestern?

Michael’s research includes theoretical work on the rank–accuracy tradeoff in low\-rank adaptation, or LoRA\. He is also engaged in a generative AI research collaboration with Allstate details of that collaboration are subject to an NDA\.

### What teaching does Michael do at Northwestern?

Michael has served as a teaching assistant for multivariable calculus and applied linear algebra at Northwestern University\.

### What is Michael’s educational background?

Michael earned a Bachelor of Science in physics and mathematics from Georgetown University in 2020\. He is now pursuing a Doctor of Philosophy in Engineering Sciences and Applied Mathematics at Northwestern University\.

### What did Michael accomplish as an undergraduate researcher at Georgetown University?

As an undergraduate researcher, Michael participated in a two\-semester capstone physics research course\. He investigated purely symbolic operator algebra methods in quantum mechanics, wrote a research thesis of more than 40,000 words detailing the findings and their application to the hydrogen atom, and published a paper based on the thesis in the Journal of Mathematical Physics\.

### What did Michael research as a research assistant at Georgetown University?

Michael used Atomic Force Microscopy to investigate properties of a polymer with potential use in MRI imaging\.

### What did Michael do in Georgetown’s Physics Research Experience for Undergraduates?

Michael participated in Georgetown’s full\-time summer Physics Research Experience for Undergraduates\. He helped formulate a completely algebraic solution to the quantum mechanical harmonic oscillator, investigated the pedagogical history of the harmonic oscillator in quantum mechanics textbooks, and drafted a scientific paper for publication in the American Journal of Physics\.

### What courses did Michael support as a teaching assistant at Georgetown University?

Michael was a teaching assistant for multivariable calculus in fall 2018, mathematical methods for physics in spring 2019, quantum mechanics in fall 2019, and number theory and cryptography in spring 2020\. His responsibilities included weekly office hours, grading assignments, and weekly recitation sections\.

### What did Michael do at Cathedral High School?

During the 2022–2023 academic year, Michael taught algebra II, precalculus, and AP Calculus AB at Cathedral High School in Indianapolis\. He also assisted with summer physical education and remedial algebra I courses\.

### What was Michael’s career transition after Georgetown?

Michael spent a year and a half after undergraduate studies discerning Roman Catholic priesthood and religious life in the Society of Jesus\. He lived and volunteered in a religious community and held volunteer roles that included high school and college mathematics tutoring and campus ministry\. He left the Society of Jesus in March 2022 to pursue graduate studies in applied mathematics\.

### What did Michael do at Saint Ignatius High School?

At Saint Ignatius High School, Michael assisted with student retreats and immersion trips, prepared talks for students and faculty, assisted in AP Calculus and linear algebra classes, and held mathematics office hours open to all students twice each week\.

### What did Michael do at the University of St\. Thomas?

At the University of St\. Thomas, Michael provided spiritual direction to students, prepared spiritual discussion events, and held weekly finite\-mathematics office hours\.

### What did Michael do at the Jesuit Community at Georgetown?

Michael worked as a front desk receptionist at an on\-campus building serving a large residential community\. He received and directed incoming phone calls, guests, and mail\.

### What skills does Michael bring to his work?

Michael lists analytical skills, problem solving, project management, communication, and research among his skills\. He also works with LaTeX, Microsoft Excel, Microsoft Office, and Google Suite\.

## Links

- LinkedIn: https://www\.linkedin\.com/in/michael\-rushka

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