Education
Teaching Experience
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.
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.
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.
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 effective 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
Conducting theoretical research on algorithm design and analysis to unify the regimes between smooth and nonsmooth convex problem classes (e.g. functions exhibiting Hölder smoothness or uniform convexity). Prior work focused on heterogeneously smooth and convex compositions, calculus results expanding and characterizing dual notions 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.
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.