Education
Teaching Experience
Developed a complete syllabus, lecture notes, and assignments to facilitate courses ranging from 15 to 80 students. Presented extensive lectures on linear algebra, probability, statistics, data analysis, and differential equations. Facilitated student engagement and discussion.
Paired with up to three students a semester, mentoring a self-contained course on gradient descent, its convergence theory and guarantees. Wrote a series of lecture notes and exercises for students who were expected to discuss and work independently for a few hours every week. After the semester of preparation, each student presented a structured talk to the group of mentees.
Contributed to the design and development of new mathematics and engineering courses. Authored original lecture material, guided Excel practice problems, engaging problem sets, and instructional resources tailored to enhance pedagogical clarity and student engagement.
Supported instruction in twenty undergraduate and graduate-level courses through grading, writing lecture notes, designing assignments, leading weekly discussion sections, and providing academic support to students. Collaborated with faculty to reinforce core course concepts and foster a strong learning environment.
Designed and led a series of review sessions for the incoming 120 masters students, covering foundational concepts in linear algebra and matrix analysis. Developed comprehensive lecture notes and facilitated interactive discussions to prepare students for rigorous graduate coursework.
Tutored dozens of students ages 6 to 18 in fundamental math topics ranging from multiplication tables to AP calculus. Adapted instruction to individual learning styles, promoting confidence and mastery in mathematical skills.
Instructor of Record
In this two-week pre-college program, students work in groups to construct and present a data analysis project which collects, organizes, cleanses, and visualizes a dataset of their choosing. Topics include exploratory data analysis, data visualization, probability distributions, data scraping and cleansing, the basics of hypothesis testing, and regression modeling.
An introduction to the basic concepts of linear algebra, matrix theory, and differential equations that are used widely in modern engineering and science.
Course Development
Collaborated with the Director of Online Programs to develop a comprehensive College Algebra course aimed at preparing incoming students for success in higher-level mathematics. Designed instructional content to reinforce key algebraic concepts through accessible and engaging materials.
Developed and launched a summer course for high school students introducing the fundamentals of data analysis, probability, and statistics. Encouraged students to master affective presentation skills and collaborative work. Produced a full suite of materials, including lecture videos, online quizzes, interactive assignments, and guided Excel tutorials, delivered to over 50 students annually.
Teaching Assistant
Research Interests
Conducting theoretical research on algorithm design and analysis to unify the regimes between smooth and nonsmooth convex problem classes (e.g. function exhibiting Hölder smoothness or uniform convexity). Prior work focused on heterogeneously smooth and convex compositions, calculus results expanding and characterizing dual notations between Hölder smoothness and uniform convexity, interpolation theory for inexactly smooth convex functions, performance estimation over respective problem classes, and universal algorithm design. Future work entails characterizing the class of minimax optimal methods for convex Lipschitz minimization.
Experimentation and implementation of various AI derived course assistants. Herein, we discuss, analyze, and test different methods for embedding the rising LLM tools into the education system. By supplying agents with structured prompts, focused on providing students with motivation and step-by-step guidance instead of direct answers, we aim to improve comprehension and intellectual capability.
Preparing to investigate spectral properties of the Discrete Fourier Transform and its connections to signal representation and harmonic analysis. Further investigation will include advancing understanding of the Fractional Fourier Transform, smoothly interpolating between the signal and frequency domains.
Publications
Talks
Awards
Skills
- Expertise in mathematical problem-solving, analytical reasoning, and quantitative analysis, with the adept ability to tackle complex challenges.
- Aptitude for delivering clear, engaging presentations and cultivating a dynamic, intellectually stimulating classroom environment.
- Proficiency in Matlab, Python, and Julia, with extensive experience in optimization algorithms and image analysis techniques.