Experience

  1. Mathematics Consultant

    Quantum Formalism
    • Engineered hands-on computational exercises demonstrating quantum and classical ML concepts using Python notebooks, Scikit-learn, PyTorch, PennyLane, and SciPy.
    • Designed and delivered advanced graduate-level curriculum bridging Lie Theory with practical Quantum Computing and Machine Learning applications (Course: Lie Groups with Applications).
    • Developed visualization tools for dynamic simulation of quantum systems using Matplotlib and ipywidgets (e.g., Hamiltonian evolution, SU(4) decomposition, and error quantification).
    • Built prototypes for quantum gate classification and variational circuit optimization leveraging gradient-based learning.

  2. Postdoctoral Fellow

    Institut de Mathématiques de Jussieu–Paris Rive Gauche (IMJ-PRG)
    • Developed advanced mathematical models using irregular D-modules, condensed mathematics, and ind-sheaves to study singularities and asymptotic behavior in complex analytic spaces.
    • Contributed to a Fondation Sciences Mathématiques de Paris–funded project under the supervision of François Loeser.

  3. Van Vleck Visiting Assistant Professor

    University of Wisconsin–Madison
    • Developed a novel analytical framework published in Publ. RIMS Kyoto Univ., advancing theory of complex systems with irregular structure.
    • Secured a $5,000 AMS–Simons grant for reformulating a long-standing mathematical problem using a topological-analytic approach.
    • Taught and designed curricula for undergraduate and graduate courses, with strong student evaluations and mentoring across levels.

Education

  1. PhD Mathematics

    Northeastern University
    Thesis on hypersurface normalizations and numerical invariants. Supervised by David B. Massey.
    Read Thesis

  2. MS Mathematics

    Northeastern University
    GPA: 3.96/4.0

  3. BA Mathematics

    Boston University

    GPA: 3.58/4.0

    Graduated cum laude with Distinction in Mathematics.

Skills
Programming & Data Tools
Python (NumPy, Pandas, SciPy)
Scikit-learn / XGBoost
PyTorch, TensorFlow
SQL (SQLite, PostgreSQL)
Git, Jupyter
Machine Learning & Data Science
Supervised learning & classification
Dimensionality reduction & clustering
Feature engineering & model tuning
Evaluation (ROC AUC, CV, imbalanced classes)
Theoretical & Research Expertise
Topology & Singularity Theory
Category Theory & Sheaf Theory
Representation Theory & Lie Algebras
Topological Data Analysis (TDA)
Geometric Deep Learning
Quantum Computing
PennyLane / Qiskit
Hamiltonian simulation & gate decomposition
Variational circuits & gate learning
Writing & Communication
LaTeX, Markdown, Academic Writing
Scientific visualization
Curriculum & lecture design
Awards
AMS–Simons Travel Grant
American Mathematical Society and Simons Foundation ∙ April 2021

This proposal focused on a long-standing open problem in singularity theory known as Lê’s Conjecture, which concerns the equisingularity of complex analytic surfaces with one-dimensional singular loci.

My approach, in collaboration with Laurentiu Maxim, reformulates this conjecture using the theory of mixed Hodge modules and perverse sheaves. Building on my earlier work on non-isolated singularities, we reinterpret the vanishing cycles complex φ_f[−1] ℚ_ℂ³[3] as a central object and reduce Lê’s Conjecture to a statement about the purity and semi-simplicity of its non-unipotent part as a mixed Hodge module.

This framework provides a new perspective that connects deep topological properties of singularities to their analytic structure, with the potential to resolve a conjecture that has remained open for nearly 40 years.

📄 Download Proposal

Northeastern University Mathematics Department Best TA Award
Northeastern University Mathematics Department ∙ April 2018
For providing excellent serve to the Math Department by teaching a wide range of courses as Instructor of Record, including MATH 1213, 1231, 1251, and 1342, and for receiving very good student evaluations in these courses.
Robert Brian Massey Fellowship for Mathematics
Worldwide Center of Mathematics ∙ September 2012
Provided full funding for my first year of my Master’s degree in Mathematics at Northeastern University.
Robert E. Bruce Prize for Excellence in Mathematics
Boston University ∙ May 2012
Alumni Award for Mathematics.