PhD in mathematics

• Founder of this educational project to address curriculum gaps in the math department. Secured funding based on its pedagogical impact on the program. Subsequently hired as Course Coordinator based on demonstrated leadership and technical contributions.

• As Vice-President of the Mathematics Graduate Student Association (2023 and 2024), closely helped the President double the budget for the first time in a decade through targeted in-person outreach and strategic framing of funding needs, directly leading to the successful organization of key student support events for over 200 participants.

• As Treasurer of the Mathematics Graduate Student Association (2021 and 2022), led the transition to a streamlined digital finance system, optimizing reimbursements and improving transparency in managing over $10,000 in funds.

• Chair of Logic, Foundations and Combinatorics at the Bird’s Eye Conference (2023 and 2024).

• As Course Instructor, led a team of 12 TAs while managing logistics for over 400 students. Achieved some of the highest course evaluations for instructors in the department.

• As TA Mentor and Head TA, mentored more than 30 TAs and helped them improve their teaching techniques and resolve complex team dynamics.

• Organized the Student Set Theory Seminar and co-founded the Student Combinatorics Seminar (2021 and 2022).

• Volunteered at the Mental Health and Wellness Project (2022).

• Co-organized the welcome orientation event at the University of Toronto (2022).

University of Toronto, Canada

Advisor: Dr. Spencer Unger

National Autonomous University Of Mexico (UNAM)

Advisor: Dr. Roberto Pichardo

• Co-founder of Wiki-Explorer, an AI-powered system that automates educational content creation, producing hundreds of short videos from Wikipedia entries without human intervention.

• Developed and implemented an advanced border-tracing algorithm that generalizes classical image segmentation techniques from pixel-based grids to arbitrary polygonal tilings, enabling contour detection in abstract adjacency graphs.

• Created the FerGroup framework for the collaborative study of amoeba graphs and the Fer group.

• As Project Lead, we leveraged advancements in Graph Neural Networks to optimize a noisy communication network with machine learning to estimate its Shannon capacity. Click here to see the project.

• As Research Advisor, guided a student in developing a Python library for Ramsey-theoretical functions and presenting our project at the 2023 Canadian Undergraduate Mathematics Conference, significantly contributing to her acceptance into Brown University.

• Developed an efficient and comprehensive object-oriented programming framework to support advanced research in algebra and combinatorics, with applications in network security and differential privacy.

• Rendered complex mathematical animations in Python and presented them at talks and the math.gif interactive digital art exposition.

• Engineered AI bots that play Ultimate Tic-Tac-Toe and Connect Four in Java and C++, employing A* algorithms and tree data structures.

1. International Graduate Student Scholarship (2024)

   • Awarded based on an exceptional application, which was later used as an example in scholarship workshops.

2. Communication Excellence Award for presenting at the Bird's Eye Conference (2024)

3. Most Understandable Scientist Award, University of Toronto (2023)

   • Awarded for the only mathematics presentation in a university-wide graduate competition recognizing clarity and accessibility in scientific communication.

4. Selected Participant, Heidelberg Laureate Forum (2023)

   • One of 200 young researchers chosen to attend a prestigious event connecting emerging talents with laureates in mathematics and computer science, including winners of the Fields Medal, Abel Prize, and Turing Award.

5. Gave over 30 talks at academic conferences in around a dozen different cities.

6. Vivekananda Scholarship for Academic Excellence (2023)

7. Stimulus Award for Accelerated Completion of MSc Degree (2021)

   • For completing the program in half the time, with the highest attainable grade in every course.

8. Honorary Mention, XXXVI Coloquio Víctor Neumann-Lara presentation (2020)

9. High-Performance Graduate Qualification Scholarship (2019)

10. Honorary Mention for Bachelor’s Degree Excellence (2019)