Francisco Vásquez Leiva

Mathematical Modeling · ML / AI · Data Science

Francisco Vásquez Leiva

Ph.D. Student in Mathematical Modeling, University of Chile

Santiago, Chilefrancisco@vasquezl.com
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Profile

Ph.D. student in Engineering Sciences in Mathematical Modeling. Holds a Master in Engineering Sciences (minor Applied Mathematics) and a Mathematical Engineering degree, both from the University of Chile. Tenacious, optimistic, and structured. Passionate about learning, teaching, and sharing knowledge. Strong command of mathematical theory, programming, and their applications. Main interests lie in mathematical modeling and applied mathematics, in both research and industry. Avid programmer, fluent in several languages. Extensive teamwork experience, ranging from leadership and project management to delegated tasks. Solid expertise in Machine Learning and Data Science, with 8 years of experience in these fields. International experience and language acquisition gained through a 6-month internship at the French National Institute for Research in Digital Science and Technology (INRIA), Paris, France.

Research interests

  • Mathematical Modeling
  • Statistics
  • Stochastic Processes
  • Machine Learning
  • Deep Learning
  • Data Science
  • Knowledge Graphs

Education

  1. Ph.D. Student, Engineering Sciences in Mathematical Modeling

    Faculty of Physical and Mathematical Sciences, University of Chile

    August 2024 — Present
    Santiago, Chile
    • Advisor: Joaquín Fontbona.
    • Funded by the ANID National Doctoral Scholarship 2025.
    • Doctoral research: Mathematical representation of entities and relations in knowledge graphs with heterogeneous information. The proposed framework lets each information source (relational topology, categorical, numerical, and textual attributes) induce a representation space with its own structure, and seeks a unified representation that coherently integrates these factors, preserves their complementarity, and enables inference and generalization to unseen entities.

  2. Master in Engineering Sciences, minor Applied Mathematics

    Faculty of Physical and Mathematical Sciences, University of Chile

    March 2021 — May 2023
    Santiago, Chile
    • GPA: 6.9 / 7.0. Graduated with Highest Distinction. Dual degree with Mathematical Engineering.
    • Advisor: Servet Martinez, National Prize in Exact Sciences.
    • Thesis: “Study and modeling of infectious diseases: COVID-19”. Mathematical modeling of infectious diseases applied to COVID-19: detection of epidemic waves; estimation of hospital admission probabilities and length-of-stay distributions from public data; development of the CMM Agent-Based Simulator covering 34 communes of the Santiago Metropolitan Region; and design of methodologies for territorial quarantine policies.

  3. Mathematical Engineering

    Faculty of Physical and Mathematical Sciences, University of Chile

    March 2015 — May 2023
    Santiago, Chile
    • GPA: 7.0 / 7.0. Graduated with Highest Distinction. Dual degree with Master in Applied Mathematics.
    • Training in pure and applied mathematics, statistics and stochastic processes, computer science, operations research, and optimization.

  4. International Virtual Student Exchange

    Tsinghua University

    September 2021 — January 2022
    Online, China

  5. Bachelor of Engineering Science in Mathematics

    Faculty of Physical and Mathematical Sciences, University of Chile

    March 2015 — December 2020
    Santiago, Chile

Experience

  1. Senior AI Advisor

    Center for Mathematical Modeling, University of Chile

    June 2023 — Present
    Chile
    ChatSP · 3,000+ users · 9,900+ queries
    • Lead developer of ChatSP, a generative-AI assistant specialized in the SumoPrimero textbook collection (CMM Educación). QA architecture based on agentic GraphRAG with tools.
    • 3,000+ users, 9,900+ queries. 20% frequent users (active 20+ days). 90.7% autonomous usage outside training sessions.
    • Presence in all regions of Chile and 79.2% of the country's communes. 9.1% of Chilean schools have at least one teacher using the tool.

  2. Project Engineer

    Center for Mathematical Modeling, University of Chile

    June 2023 — Present
    Chile
    • Working in the CMM Data Science line. Responsibilities related to strategy, growth, and expansion of the CMM Data Science group.

  3. Product Owner

    Cleo

    March 2023 — March 2024
    Chile
    • Fintech. Expansion, consolidation, and diversification of the company's products. Risk, credit, and fraud models. Working language: English.

  4. Machine Learning Engineer

    Institut national de recherche en sciences et technologies du numérique (INRIA)

    May 2022 — October 2022
    Paris, France
    • French M2 Master's internship. Joint work with the Laboratoire Interdisciplinaire des Sciences du Numérique (LISN), the Centre national de la recherche scientifique (CNRS), Université Paris-Saclay (#1 worldwide in Mathematics, Shanghai Ranking 2021, 2022), and CentraleSupélec.
    • Research in Recommender Systems, Optimal Transport, Causal Inference, and Natural Language Processing.

  5. Business Intelligence Analyst Intern

    Applied Analytics Sub-Department, BICE Bank

    December 2019 — December 2020
    Santiago, Chile
    • Built models for consumption propensity, product-use prediction, and clustering for customer segmentation, mainly in Python.
    • Created bank-side databases of model results, automating daily and monthly loads, mainly in SQL + Python.

  6. Job Fair Director

    Redes Beauchef, University of Chile

    March 2018 — December 2020
    Santiago, Chile
    • Organization of the Job Fair Project, which brings the working world closer to students and graduates by setting up venues where institutions offer internships and jobs through interviews (2020).
    • Logistics Area Director (2019) and Logistics Executive (2018).

  7. Research Area Intern

    LVA Indices

    December 2017 — January 2018
    Santiago, Chile
    • Designed comparison algorithms across mutual funds, providing the best switching option among different fund managers. Construction and recommendation of investment portfolios.

Other Activities

  1. Vice President, ShARE Team UChile

    ShARE Organization

    October 2020 — October 2022
    • ShARE is an international organization that teaches consulting and leadership skills.

  2. Coordination Team, Freshman Orientation

    FCFM, University of Chile

    January 2016 — July 2020
    • Participation in the management and coordination of the welcome program for incoming students at the faculty.

  3. President, Mathematical Engineering Students Council

    FCFM, University of Chile

    2018 — 2020
    • President (2019, 2020) and Vice President (2018) of the Mathematical Engineering Students Council (CEIMAT).

Research

  1. Master's Thesis Researcher

    Center for Mathematical Modeling (CMM)

    March 2021 — May 2023
    Chile
    • Master's thesis “Study and modeling of infectious diseases: COVID-19”. Use of the Guacolda-Leftraru supercomputer for simulations. Application of Branching Processes, Queueing Theory, Markov Processes, and Machine Learning.

  2. Visiting Associate Researcher

    École nationale de la statistique et de l'administration économique (ENSAE)

    June — December 2022
    Paris, France

  3. Research on Global Drivers of COVID-19

    Center for Mathematical Modeling (CMM)

    March — August 2020
    • Machine Learning applied to the study of relevant variables of COVID-19.

  4. Research Support

    Pontifical Catholic University of Chile

    April — June 2021

Teaching

  1. Lecturer, Machine Learning Course

    Master of Data Science, FCFM, University of Chile

    August 2024 — Present
    Santiago, Chile

  2. Teaching Assistant

    Department of Engineering, University of O'Higgins

    January 2023
    Rancagua, Chile
    • Course taught: Differential Equations, Summer Semester.

  3. Course Coordinator, Department of Mathematics

    Faculty of Physical and Mathematical Sciences, University of Chile

    August 2021 — January 2022
    • Coordination of 3 courses of the Engineering Common Core.

  4. Tutor, Taller Los Dos Relojes

    Faculty of Physical and Mathematical Sciences, University of Chile

    2018, 2021
    • Tutor on 3 occasions. Workshop where students from any year and major can come for study consultations on mathematics courses.

  5. Teaching Assistant (18 assignments across 10 courses)

    Faculty of Physical and Mathematical Sciences, University of Chile

    2017 — 2021
    Santiago, Chile
    • Statistics (3) — restructuring and revision of course lecture notes; creation of video lectures and tutorials.
    • Probability and Statistics (3).
    • Probability and Statistics in Data Analysis (2) — creation of video lectures and tutorials.
    • Machine Learning (1) — coordination and revision of course lecture notes; creation of study materials.
    • Introduction to Calculus (3).
    • Introduction to Algebra (1).
    • Differential and Integral Calculus (1).
    • Multivariable Calculus (1).
    • Advanced Calculus (2).
    • Linear Algebra (1).

  6. Supervisor

    Faculty of Physical and Mathematical Sciences, University of Chile

    2019 — 2021
    Santiago, Chile
    • Supervisor of 8 Common Core courses over 5 semesters. Review and oversight of student grading to ensure standardization across the course.

Skills

Languages

  • EnglishB2 — 81/120 pts TOEFL IBT (2021)
  • FrenchA2
  • SpanishNative

Programming

Advanced

  • Python
  • R
  • C++
  • SQL
  • Excel

Intermediate

  • MATLAB
  • Julia
  • Git

520+ hours of coursework on Datacamp

Frameworks & Tools

  • PyTorch
  • TensorFlow
  • HuggingFace
  • LangChain
  • Neo4j
  • Docker

Awards

Awards

  • ANID National Doctoral Scholarship 2025 — 6th nationally, score 5.076 / 5.0.
  • Academic Excellence Award, Mathematical Engineering, University of Chile, 2020.
  • Top National Score in Mathematics, PSU university entrance exam, 2015.
  • Academic Excellence Award and Highest Distinction for Integrity, Nahuelcura School, 2014.

Committees

  • Member of the founding committee for the Master in Artificial Intelligence (professional track), FCFM, University of Chile.

Events

Talks & Presentations

  • Talk at CIIAE 2025: “ChatSP: A Generative-AI Tool Supporting Teachers in the Preparation and Use of the Sumo Primero Textbooks for Mathematics Teaching in 1st–6th Grade in Chile”. Francisco Vásquez; Paula Olguín; Salomé Martínez; Lorena Inostroza. CMM, University of Chile. CIIAE 2025, Tandil, Argentina, 12–14 November 2025.
  • Outreach talk: “The Language of Machines: How Mathematics Shapes Artificial Intelligence”, Mathematics Olympiad 2025, Colegio La Cruz, October 2025.
  • ChatSP Webinar, July 29, 2025.
  • Poster presentation: “CMM Agent-Based Simulator” at the 1st Conference on Data Science and Public Health, Santiago, Chile. January 2024.

Attendance

  • XVII CLAPEM, Latin American Congress of Probability and Mathematical Statistics, March 2–6, 2026, Montevideo, Uruguay.
  • 2nd Workshop Probability in South America (PISA), January 12–16, 2026, PUC Chile, Santiago.
  • Topological Phase Transition and Localization of Random Fields (CPP2025), December 1–12, 2025, CMM, University of Chile.
  • CIIAE 2025, 2nd International Congress on AI and Education, November 12–14, 2025, Tandil, Argentina.
  • EVIC 2025, Summer School in Computational Intelligence (20th edition), November 26–28, 2025, U. de los Andes, Santiago.
  • VII Summer School in Probability and Stochastic Processes (PPE 2025), January 6–10, 2025, CMM, University of Chile.
  • “Blockchains and Ledgers: What They Are and Their Possible Applications Beyond Cryptocurrencies”, April 3–10, 2024, CMM, University of Chile.
  • VI Summer School in Probability and Stochastic Processes, University of Chile, January 8–12, 2024.
  • EMIC 2023: Latin American Meeting of Doctoral Students in Modeling, Engineering, and Sciences, University of Chile.
  • MCA 2021: Mathematical Congress of the Americas, Online.
  • Latin American Congress of Mathematicians (CLAM), 2021.
  • FLACAM 2019: French–Latin American Conference on New Trends in Applied Mathematics, University of Chile, Santiago, Chile.
  • National Meeting of Mathematical Engineering 2018, Santiago.
  • Various workshops, seminars, and talks on Machine Learning and Data Science.

Organization

  • National Meeting of Mathematical Engineering 2017, University of Chile, Santiago.

Courses

Introduction to Quantum Machine Learning and Quantum Optimization

University of Deusto (online)

36 hrs. QML, QSVM, QNN, QGAN, QUBO, QAOA, VQE with PennyLane / Qiskit.

Introduction to Quantum Computing

University of Deusto (online), Faculty of Engineering

Fundamentals, quantum circuits, quantum algorithms, ISC, quantum security.

Gender Studies Courses

Programa Prevenir

April–May 2024. Fundamentals of Gender (8 hrs). Public Policy with a Gender Lens (8 hrs).

Artificial Intelligence Courses

Structuralia, OAS

January–May 2024. Impact of AI on Business (40 hrs). Artificial Intelligence (40 hrs). Technology Ecosystems: Introduction to New Disruptive Technologies (40 hrs). Data Mining, Machine Learning, and Deep Learning (40 hrs).

Internet Governance and International Relations

Institute of International Studies (IEI)

January 2024. 25-hour specialization course. Regimes, trade agreements, and global outlook.

International Commercial Intelligence Courses

PROCHILE: Virtual Classroom

September–November 2023. Market Commercial Intelligence (35 hrs). International Business Plan (35 hrs). Differentiation for Internationalization (35 hrs).

Advanced Seminar in Financial Derivatives

University of Chile (2018)

Study of financial derivatives via Martingales and Stochastic Partial Differential Equations.

Mastering in English

Lormax Institute

2013–2014. 180-hour specialization course in spoken and technical English.

References

PhD. Servet Martinez

smartine@dim.uchile.cl

Researcher, Center for Mathematical Modeling. Full Professor, Department of Mathematical Engineering. National Prize in Exact Sciences.

PhD. Joaquín Fontbona

fontbona@dim.uchile.cl

Associate Professor, University of Chile. Coordinator, Data Group at the Center for Mathematical Modeling.

PhD. Felipe Tobar

ftobar@dim.uchile.cl

Full Professor, Data & AI Initiative, University of Chile. Coordinator, Master in Data Science, University of Chile.

Natalia Alvarez

natalia@cleo.cl

Chief Operating Officer (COO), Cleo.

Contact

Open to research collaborations, AI / ML consulting, and teaching opportunities. The fastest way to reach me is by email.

Primary email

francisco@vasquezl.com

Academic email

francisco.vasquez@ug.uchile.cl

Phone

+569 8444 7513

Location

Santiago, Chile

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