Mathematics · Columbia University
Iz Tecúm
I am an undergraduate mathematician interested in topology, probability, complex analysis.
Research interests
Developing trisections and potentials for complexifications of algebraic curves.
Selected work
Research, notes & projects
Research
- A Central Limit Theorem for Random Euler-Product Surrogates PDF
- How the Conformal Modulus of an Annulus Controls Holomorphic Maps PDF
- Rainbow Normal Forms and the L-Space Property of One-Rainbow Knots PDF
- Classical vs Path Coupling on a Geometric State Space PDF
- A Pairwise Learning-to-Rank Model for Feature Engineering PDF
- Holomorphic Disks and the Top Alexander Grading of Two-Rainbow Knots PDF
Notes
- Classifying Knotted Surfaces PDF
- Vector Bundles and Holomorphic Structures PDF
- Geometric Measure Theory PDF
- Khovanov Homology and Exotic Surfaces PDF
- Lefschetz Fibrations PDF
- Algebraic Number Theory (MATH4043GU) PDF
- Algebraic Curves (MATH4045GU) PDF
- Analysis II (MATH6152GR) PDF
- CA/RS I/II (MATH6176GR) PDF
- Mathematics of Generative Models PDF
- Moduli of Varieties PDF
- Surfaces and 4-Manifolds PDF
- Singularities in Commutative Algebra PDF
- Symplectic Surfaces PDF
- Techniques in Exotica PDF
- Group Trisections and Smoothly Knotted Surfaces PDF
- Whitney Forms PDF
Projects
Curriculum vitae
Education
B.A. in MathematicsColumbia University
Research & academic programs
Geometric Measure Theory / Moduli of VarietiesSimons Laufer Mathematical Sciences Institute
Knotted Surfaces in Four-Manifolds / Trisector WorkshopInstitute for Advanced Study
Teaching experience
Teaching Assistant, Complex Variables (MATH UN3007)Columbia University
Teaching Assistant, Introduction to Higher Mathematics (MATH UN2005)Columbia University
Talks & conferences
International Congress of Mathematicians (T)International Mathematical Union
Joint Mathematics Meetings (T)American Mathematical Society
Gathering 4 Gardner (T)Gathering 4 Gardner Foundation
Honors & awards
Distinguished SpeakerInternational Mathematical Union
Honorary ValedictorianOklahoma School of Science and Mathematics
AMC 12B Honor Roll of DistinctionMathematical Association of America
Academic leadership & service
Co-Founder and PresidentPi Mu Epsilon at Columbia
Professional experience
Member of Technical StaffOpenAI