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José Ignacio Yáñez

Hedrik Assistant Adjunct Professor




Contact Information

University of California, Los Angeles

Department of Mathematics

Office MS 6617F

Email: yanez (at) math (dot) ucla (dot) edu

CV

 

About me

I am a Hedrick Assistant Adjunct Professor at the Mathematics Department at UCLA under the mentorship of Joaquín Moraga.

I am interested in Algebraic Geometry, more precisely in Birational Algebraic Geometry. In particular, I am interested in applications of the Minimal Model Program, automorphisms and birational automorphisms of varieties, numerical dimension of divisors, and the Kawamata - Morrison conjecture.

I obtained my PhD in Mathematics at the University of Utah under the supervision of Christopher Hacon.

Before that, I got my Bachelor's and Master's degree in Mathematics at Universidad Católica de Chile under the supervision of Giancarlo Urzúa. 

 

Publications & Preprints

5. Polarized endomorphisms of Fano varieties with complements arXiv
(with J. Moraga and W. Yeong).
4. MMP for generalized pairs on Kähler 3-folds arXiv
(with O. Das and C. Hacon).
3. Movable cones of complete intersections of multidegree one on products of projective spaces arXiv Submitted
(with M. Hoff and I. Stenger).
2. Birational automorphism groups and the movable cone theorem for Calabi-Yau complete intersections of products of projective spaces arXiv Journal
Journal of Pure and Applied Algebra, 226 (2022) no. 10, 107093.
1. Characterization of Kollár surfaces arXiv Journal
(with G. Urzúa).
Algebra & Number Theory, Vol. 12 (2018), No. 5, 1073–1105.

Teaching

At UCLA
Spring 2024       MATH 131A - Analysis
Spring 2024       MATH 110B - Algebra
Winter 2024       MATH 131A - Analysis
Fall 2023       MATH 32A - Calculus of Several Variables

At University of Utah
Spring 2023       MATH 1100 - Business Calculus
Spring 2022       MATH 2200 - Discrete Mathematics
Fall 2020       MATH 1100 - Business Calculus
Fall 2019       MATH 1310 - Engineering Calculus I
Fall 2018       MATH 1060 - Trigonometry
Spring 2018       MATH 2250 - Differential Equations and Linear Algebra (TA)
Fall 2017       MATH 2250 - Differential Equations and Linear Algebra (TA)

At Universidad Católica de Chile
At Pontificia Universidad Católica de Chile I was a Teaching Assistant for several courses, including Introductory Algebra, Linear Algebra, Calculus, Abstract Algebra and Introduction to Algebraic Geometry.